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92734.xml
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92734.xml
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<?xml version="1.0" encoding="UTF-8"?>
<?xml-model href="https://epidoc.stoa.org/schema/8.23/tei-epidoc.rng" type="application/xml" schematypens="http://relaxng.org/ns/structure/1.0"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xml:id="m92734" xml:lang="en">
<teiHeader>
<fileDesc>
<titleStmt>
<title>A codex from late antique business education</title>
</titleStmt>
<publicationStmt>
<authority>Digital Corpus of Literary Papyri</authority>
<idno type="dclp">92734</idno>
<idno type="TM">92734</idno>
<idno type="LDAB">10719</idno>
<idno type="filename">92734</idno>
<idno type="dclp-hybrid">tm;;92734</idno>
<availability>
<p>© Digital Corpus of Literary Papyri. This work is licensed under a <ref type="license" target="http://creativecommons.org/licenses/by/3.0/">Creative Commons Attribution 3.0 License</ref>.</p>
</availability>
</publicationStmt>
<sourceDesc>
<msDesc>
<msIdentifier>
<idno type="invNo">Princeton, University Library Cotsen Library Q 87167 (leaves M-O)</idno>
</msIdentifier>
<physDesc>
<objectDesc form="codex">
<supportDesc>
<support>
<material>papyrus</material>
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<layoutDesc>
<layout columns="1">
<p>papyrus codex (17 fol.) (columns: 1, pagination: 0)</p>
</layout>
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<history>
<origin>
<origPlace>Fundort: Hipponon ? (Herakleopolites, Egypt); Schreibort: Oxyrhynchus ? (Oxyrhynchites, Egypt)</origPlace>
<origDate notBefore="0350" notAfter="0375">350 - 375</origDate>
</origin>
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ref="https://pleiades.stoa.org/places/736924 https://www.trismegistos.org/place/2634">Hipponon</placeName>
<placeName n="2"
type="ancient"
subtype="nome"
ref="https://www.trismegistos.org/place/2713 https://pleiades.stoa.org/places/736921">Herakleopolites</placeName>
<placeName n="3" type="ancient" subtype="region">Egypt</placeName>
</p>
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<p>
<placeName n="1" type="ancient" subtype="region">Egypt</placeName>
<placeName n="2"
type="ancient"
cert="low"
ref="https://www.trismegistos.org/place/1524 https://pleiades.stoa.org/places/736983">Oxyrhynchus</placeName>
<placeName n="3"
type="ancient"
subtype="nome"
ref="https://pleiades.stoa.org/places/736982 https://www.trismegistos.org/place/2722">Oxyrhynchites</placeName>
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This file encoded to comply with EpiDoc Guidelines and Schema version 8
<ref>http://www.stoa.org/epidoc/gl/5/</ref>
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<keywords>
<term>mathematics</term>
<term>geometry</term>
<term>metrology</term>
<term>model documents</term>
<term type="culture">science</term>
<term type="religion">christian</term>
<term type="overview">mathematics</term>
</keywords>
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<langUsage>
<language ident="en">English</language>
<language ident="grc">Greek</language>
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<revisionDesc>
<change when="2024-01-03T07:53:59-05:00"
who="http://papyri.info/editor/users/james.cowey">Finalized - Ready.</change>
<change when="2024-01-03T07:42:44-05:00"
who="http://papyri.info/editor/users/james.cowey">Vote - Accept-Straight-to-Finalization - Fine</change>
<change when="2024-01-03T07:38:33-05:00"
who="http://papyri.info/editor/users/james.cowey">Submit - Added commentary to F verso line 2</change>
<change when="2023-12-18T08:38:33-05:00"
who="http://papyri.info/editor/users/james.cowey">Git commit - Added text of C verso, after checking entry by C. Albrecht</change>
<change when="2014-12-10" who="DCLP">Crosswalked to EpiDoc XML</change>
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<body>
<div xml:lang="grc" type="edition" xml:space="preserve">
<div n="A" type="textpart">
<div n="r" type="textpart"><ab>
<lb n="1"/><gap reason="lost" extent="unknown" unit="line"/>
<lb n="1"/><gap reason="lost" quantity="9" unit="character"/><gap reason="illegible" quantity="1" unit="character"/><gap reason="lost" quantity="3" unit="character"/><gap reason="illegible" quantity="1" unit="character"/><gap reason="lost" quantity="1" unit="character"/><gap reason="illegible" quantity="1" unit="character"/><gap reason="lost" extent="unknown" unit="character"/>
<lb n="2"/><supplied reason="lost"><gap reason="illegible" quantity="8" unit="character"/> χαίρειν. ὁμολογῶ ἐσχηκέναι π<supplied reason="lost">αρὰ σοῦ</supplied></supplied>
<lb n="3"/><supplied reason="lost">ἐν χρήσει ἐ</supplied>ξ <choice><reg>οἴκου</reg><orig>ὔκο</orig></choice> σοῦ χρ<add place="above">υσ</add>οῦ <choice><reg>νομισμάτιον</reg><orig>νομισμάτ<hi rend="diaeresis">ι</hi>αν</orig></choice> ε<supplied reason="lost">ὐχάρα</supplied>
<lb n="4" break="no"/><supplied reason="lost">κτον</supplied> <choice><reg>δίζῳδον</reg><orig>δί<unclear>ζ</unclear>ῳτον</orig></choice> ἓν <choice><reg>κεφαλαίου</reg><orig>κεφαλέου</orig></choice> ἐπὶ <choice><reg>τῷ</reg><orig>δῷ</orig></choice> μ’ ἀ<unclear>ν</unclear><supplied reason="lost">τὶ</supplied>
<lb n="5"/><gap reason="lost" quantity="9" unit="character"/> καὶ τὸν εἰς λόγον ἀποτάκτου <choice><reg>ἐπικερδίας</reg><orig>ἐπιγ<unclear>ε</unclear>ρ<unclear>δί</unclear><supplied reason="lost">ας</supplied></orig></choice><gap reason="lost" extent="unknown" unit="character"/>
<lb n="6"/><gap reason="lost" quantity="9" unit="character"/>ς μηνὸς Θὼθ τοῦ ἐνεσ<supplied reason="lost">τῶτ</supplied><unclear>ο</unclear>ς ἔτ<gap reason="illegible" quantity="1" unit="character"/><gap reason="lost" extent="unknown" unit="character"/>
<lb n="7"/><gap reason="lost" quantity="9" unit="character"/><subst><add place="inline"><gap reason="illegible" quantity="1" unit="character"/><unclear>αθ</unclear>έντα</add><del rend="corrected"><gap reason="illegible" quantity="1" unit="character"/><unclear>α</unclear>λέντα</del></subst> <choice><reg>ἀκοιλάντως</reg><orig>ἀκυλά<unclear>ν</unclear><supplied reason="lost">τ</supplied>ος</orig></choice> ἀρ<supplied reason="lost">γ</supplied>υρίου τάλαντα <gap reason="illegible" quantity="1" unit="character"/><gap reason="lost" extent="unknown" unit="character"/>
<lb n="8"/><gap reason="lost" quantity="8" unit="character"/> <supplied reason="lost">ὅ</supplied><unclear>π</unclear>ε<unclear>ρ</unclear> <choice><reg>κεφάλαιον</reg><orig>κεφάλεον</orig></choice> <choice><reg>ἀποδώσω</reg><orig><supplied reason="lost">ἀ</supplied>ποδώσο</orig></choice> σοι ὅποταν <choice><reg>αἱρῆι</reg><orig>ἑρῆ<unclear>ι</unclear></orig></choice>
<lb n="9"/><supplied reason="lost">ἄνευ ὑπερ</supplied>θέσεως ἢ <unclear>κ</unclear><supplied reason="lost">α</supplied><unclear>ὶ</unclear> <supplied reason="lost">εὑρ</supplied>ησιλογίας, γινομένης
<lb n="10"/><choice><reg>σοι</reg><orig><unclear>σ</unclear>υ</orig></choice> τῆς πρ<supplied reason="lost">άξ</supplied>εως παρά τε ἐμο<unclear>ῦ</unclear> καὶ ἐκ τῶν ὑπαρχόντων
<lb n="11"/>μοι πάντων. <choice><reg>κύριον</reg><orig>κύριων</orig></choice> τὸ <choice><reg>γραμμάτιον</reg><orig>γραμμάτιων</orig></choice> ἁπλοῦν <choice><reg>γραφὲν</reg><orig>γραφα<supplied reason="lost">ὶν</supplied></orig></choice>
<lb n="12"/>καὶ ἐπερωτηθεὶς <choice><reg>ὡμολόγησα</reg><orig>ὁμολόγησα</orig></choice>.
<lb n="13"/><note xml:lang="en">decorative border</note>
<lb n="14"/>διάκοπό<supplied reason="omitted">ς</supplied> τις ἐπὶ χώματος, οὗ τὸ μὲν μῆκος
<lb n="15"/>πηχῶν <num value="30"><hi rend="supraline">λ</hi></num>, τὸ δὲ κάτω <choice><reg>τοῦ</reg><orig>τῶ</orig></choice> χώματο<supplied reason="omitted">ς</supplied> σαναωσ<gap reason="illegible" quantity="1" unit="character"/><gap reason="lost" extent="unknown" unit="character"/>
<lb n="16"/>πηχῶν <num value="10"><hi rend="supraline">ι</hi></num>, βάθος <subst><add place="inline">πηχῶν</add><del rend="corrected">πηωῶν</del></subst> <num value="5"><hi rend="supraline">ε</hi></num>, πλάτος <subst><add place="inline">πηχ<supplied reason="lost">ῶν</supplied></add><del rend="corrected">χηχῶν</del></subst> <supplied reason="lost"><num value="6"><hi rend="supraline">ϛ</hi></num><gap reason="illegible" quantity="1" unit="character"/></supplied>
<lb n="17"/>οὕτω ποιοῦμαι. <choice><reg>συντίθω</reg><orig>σ<unclear>η</unclear>ντίθω</orig></choice> τὸ πλάτος καὶ τὸ σα <gap reason="illegible" quantity="1" unit="character"/><supplied reason="lost"> ,</supplied>
<lb n="18"/><num value="6"><hi rend="supraline">ϛ</hi></num> <unclear>κα</unclear><supplied reason="lost">ὶ</supplied> δέκα. <expan>γί<ex>νεται</ex></expan> <num value="16"><hi rend="supraline">ιϛ</hi></num>. ὧν <subst><add place="inline">ἥμισυ</add><del rend="corrected">ἥμιση</del></subst> <num value="8"><hi rend="supraline">η</hi></num>. ἐπὶ τὸ βάθο<unclear>ς</unclear>, <supplied reason="lost">πη</supplied>
<lb n="19" break="no"/>χ<unclear>ῶν</unclear> <num value="5"><hi rend="supraline">ε</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="40"><hi rend="supraline">μ</hi></num>. ἐπὶ <unclear>τ</unclear>ὸ μῆκος, πηχῶν <num value="30"><hi rend="supraline">λ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="1200"><hi rend="supraline">Ασ</hi></num>.
<lb n="20"/>τὰ ναύβια, παρὰ τὸν <num value="27"><hi rend="supraline">κζ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="44"><hi rend="supraline">μδ</hi></num><num value="1/3" rend="tick"><hi rend="supraline">γ</hi></num><num value="1/9" rend="tick"><hi rend="supraline">θ</hi></num><g type="slanting-stroke"/><g type="slanting-stroke"/>. <choice><reg>οὕτως</reg><orig>ὅτως</orig></choice> ἔχε<supplied reason="lost">ι.</supplied>
<lb n="21"/><note xml:lang="en">decorative border</note>
<lb n="21"/><note xml:lang="en">ankh, palm fronds</note>
</ab></div>
<div n="v" type="textpart"><ab>
<lb n="0"/><supplied reason="lost">ἴτυς. ἐκτὸς περιφέρεια πηχῶν <num value="8"><hi rend="supraline">η</hi></num>, ἐντὸς περι</supplied>
<lb n="1" break="no"/><supplied reason="lost">φέρεια</supplied> πηχῶν <supplied reason="lost"><num value="6"><hi rend="supraline">ϛ</hi></num></supplied>, πλάτος <choice><reg>δακ<supplied reason="lost">τύλων</supplied></reg><orig>τα<unclear>κ</unclear><supplied reason="lost">τύλων</supplied></orig></choice> <supplied reason="lost"><num value="8"><hi rend="supraline">η</hi></num>,</supplied>
<lb n="2"/><supplied reason="lost">πάχος</supplied> <choice><reg><supplied reason="lost">δ</supplied>ακτύλων</reg><orig><supplied reason="lost">δ</supplied><unclear>α</unclear>κτήλων</orig></choice> <num value="4"><hi rend="supraline">δ</hi></num>. οὕτω ποιοῦ<unclear>μ</unclear><supplied reason="lost">εν. συντίθω</supplied>
<lb n="3"/><supplied reason="lost"><num value="8"><hi rend="supraline">η</hi></num> καὶ <num value="6"><hi rend="supraline">ϛ</hi></num>.</supplied> <expan>γί<ex>νεται</ex></expan> <num value="14"><hi rend="supraline">ιδ</hi></num>. ὧν ἥμισυ <num value="7"><hi rend="supraline">ζ</hi></num>. ἐπὶ τὸ π<unclear>λ</unclear><supplied reason="lost">άτος, <num value="7"><hi rend="supraline">ζ</hi></num> ἐπὶ</supplied>
<lb n="4"/><supplied reason="lost"><num value="8"><hi rend="supraline">η</hi></num>.</supplied> <expan>γ<unclear>ί</unclear><ex>νεται</ex></expan> <num value="56"><hi rend="supraline">νϛ</hi></num>. ἐπὶ <choice><reg>τὸ</reg><orig>δὸ</orig></choice> πάχος, <choice><reg>δακτύλ<supplied reason="lost">ων</supplied></reg><orig>τακτή<unclear>λ</unclear><supplied reason="lost">ων</supplied></orig></choice> <supplied reason="lost"><num value="4"><hi rend="supraline">δ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="224"><hi rend="supraline">σκδ</hi></num>.</supplied>
<lb n="5"/><supplied reason="lost">παρὰ</supplied> τ<unclear>ὸ</unclear>ν <num value="288"><hi rend="supraline">σπη</hi></num>, καὶ τὰ <choice><reg>λοιπὰ</reg><orig>ληπὰ</orig></choice> εἰς <supplied reason="lost">δακτύλους.</supplied>
<lb n="6"/><supplied reason="lost"><expan>γί<ex>νεται</ex></expan></supplied> <choice><reg>δάκτυ<supplied reason="lost">λ</supplied>οι</reg><orig>τ<unclear>ά</unclear>κτη<supplied reason="lost">λ</supplied><unclear>ο</unclear>ι</orig></choice> <num value="18"><hi rend="supraline">ιη</hi></num> <num value="2/3"><hi rend="supraline">𐅷</hi></num>. οὕτως ἔχει ὁμ<supplied reason="lost">οίως.</supplied>
<lb n="7"/><note xml:lang="en">diagram</note> <choice><reg><supplied reason="lost">π</supplied><unclear>ε</unclear>ριφέρια</reg><orig>περιφέρεια</orig></choice><g type="slanting-stroke"/><g type="slanting-stroke"/> <g type="long-vertical-bar"/> <abbr>πηχ</abbr> πλάτος δακ<gap reason="lost" extent="unknown" unit="character"/> <g type="long-vertical-bar"/> πάχος δ<unclear>α</unclear><gap reason="lost" extent="unknown" unit="character"/> <g type="long-vertical-bar"/> <num value="18"><hi rend="supraline">ιη</hi></num>
<lb n="8"/>λοιπαὶ <num value="4"><hi rend="supraline">δ</hi></num>, τὸ <num value="1/80"><hi rend="supraline">π</hi></num> ἐν <num value="4"><hi rend="supraline">δ</hi></num>, μ<unclear>ό</unclear>ρ<unclear>ια</unclear>· μὴ πρόβα <num value="100"><hi rend="supraline">ρ</hi></num>,.
<lb n="9"/>ἔσται <choice><reg>τὰ</reg><orig>τὸ</orig></choice> μόρια <num value="1/70"><hi rend="supraline">ο</hi></num>, <num value="1/78"><hi rend="supraline">οη</hi></num>, <num value="1/74"><hi rend="supraline">πδ</hi></num>, <num value="1/95"><hi rend="supraline"><unclear>ϙ</unclear>ε</hi></num><g type="slanting-stroke"/><g type="slanting-stroke"/>.
<lb n="10"/><note xml:lang="en">decorative border</note>
<lb n="11"/><choice><reg>τραπέζιον</reg><orig>τραπάρδιον</orig></choice> <hi rend="diaeresis">ἰ</hi>σοσκελὲς <choice><reg>οὗ</reg><orig>εἷ</orig></choice> τὰ <choice><reg>σκέλη</reg><orig><subst><add place="inline">σκέλι</add><del rend="corrected">σλέλι</del></subst></orig></choice> ἀνὰ σ
<lb n="12" break="no"/>χοινία <num value="15"><hi rend="supraline">ιε</hi></num>, κοινὴ βάσις <num value="30"><hi rend="supraline">λ</hi></num>, <choice><reg>κορυφὴ</reg><orig>κορυφὴς</orig></choice> <num value="6"><hi rend="supraline">ϛ</hi></num>. ἐπει
<lb n="13" break="no"/>δὴ ἀπὸ τῆς <choice><reg>κοινῆς</reg><orig>κηνῆς</orig></choice> βάσεως <choice><reg>ὑφέλω</reg><orig>ἑφήλω</orig></choice> τὴν <choice><reg>κορυ
<lb n="14" break="no"/>φὴν</reg><orig>κορη<lb n="14" break="no"/>φὴν</orig></choice>, ἀπὸ τῶν <num value="30"><hi rend="supraline">λ</hi></num> <choice><reg>ὑφέλομεν</reg><orig>οἱφέλωμεν</orig></choice> <num value="6"><hi rend="supraline">ϛ</hi></num>. <choice><reg>λοιπαὶ</reg><orig>λοιπὲ</orig></choice> <num value="24"><hi rend="supraline">κδ</hi></num>.
<lb n="15"/><unclear>ὧ</unclear>ν ἥμισυ <num value="12"><hi rend="supraline">ιβ</hi></num>. ἕσ<unclear>τ</unclear>αι ἡ βάσις <choice><reg>τοῦ</reg><orig>τῶ</orig></choice> ὀρθογωνίου.
<lb n="16"/><supplied reason="lost">τὰ <num value="10"><hi rend="supraline">ι</hi></num></supplied> <num value="5"><hi rend="supraline">ε</hi></num> τοῦ ἑκάστου ὀρθωγωνίου ἐφ’ ἑαυτά.
<lb n="17"/><supplied reason="lost"><expan>γί<ex>νεται</ex></expan></supplied> <num value="225"><hi rend="supraline">σκε</hi></num>. καὶ τὰ <num value="12"><hi rend="supraline">ιβ</hi></num> ἐφ᾿ ἑαυτά. <expan>γί<ex>νεται</ex></expan> <num value="144"><hi rend="supraline">ρμδ</hi></num>. <choice><reg>λοιπαὶ</reg><orig>λοιπὲ</orig></choice> <num value="81"><hi rend="supraline">πα</hi></num>.
<lb n="18"/>ὧν πλευρὰ <num value="9"><hi rend="supraline">θ</hi></num>. ἔσται ἡ βάσις τοῦ τετραγώνου <num value="9"><hi rend="supraline">θ</hi></num>.
<lb n="19"/>εὑρεῖν <choice><reg>τὸ</reg><orig>δὸ</orig></choice> <choice><reg>ἐμβαδόν</reg><orig>ἐνβαδόν</orig></choice>. <num value="12"><hi rend="supraline">ιβ</hi></num> ἐπὶ <choice><reg>τὸν</reg><orig>δὸν</orig></choice> <num value="9"><hi rend="supraline">θ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="108"><hi rend="supraline">ρη</hi></num>.
<lb n="20"/>ὧν ἥμισυ <num value="54"><hi rend="supraline">νδ</hi></num>. εὑρεῖν τὸ <choice><reg>ἐμβαδὸν</reg><orig>ἐνβ<unclear>α</unclear>δὸν</orig></choice> τοῦ τετρα
<lb n="21" break="no"/><supplied reason="lost">ο</supplied>ρθογωνίου. <num value="9"><hi rend="supraline">θ</hi></num> ἐπ<unclear>ὶ</unclear> τὸν <num value="6"><hi rend="supraline">ϛ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="54"><hi rend="supraline">νδ</hi></num>. ἔσται
</ab></div>
</div>
<div n="B" type="textpart">
<div n="r" type="textpart"><ab>
<lb n="1"/><supplied reason="lost">τὸ ἐμβαδ</supplied>ὸν τοῦ τετραγών<supplied reason="lost">ου <num value="54"><hi rend="supraline">νδ</hi></num>. οὕτως</supplied>
<lb n="2"/><supplied reason="lost">ἔχει ὁμο</supplied>ίως.<g type="slanting-stroke"/><g type="slanting-stroke"/>
<lb n="3"/>diagram <num value="15">ιε</num> <g type="long-vertical-bar"/> <num value="44"><unclear>ν</unclear>δ</num> <g type="long-vertical-bar"/> <num value="9">θ</num> <g type="long-vertical-bar"/> <num value="44">νδ</num> <g type="long-vertical-bar"/> <num value="225"><hi rend="supraline">σκε</hi></num> <g type="long-vertical-bar"/> <num value="15">ιε</num> <g type="long-vertical-bar"/> <num value="12">ιβ</num> <g type="long-vertical-bar"/> <num value="144">ρμδ</num>
<lb n="4"/><supplied reason="lost">χωρ</supplied><unclear>ί</unclear>ον τετράγωνον <app type="editorial"><lem resp="J. Lougovaya, Pylon 4 (2023) §1"><choice><reg>ἰσόπλ<supplied reason="lost">ευρον</supplied></reg><orig>ἰσόπλ<supplied reason="lost">ευρον</supplied></orig></choice></lem><rdg>εἰς ὃ πλ<supplied reason="lost">ευρὸν</supplied></rdg></app> <supplied reason="lost">ἔχον</supplied>
<lb n="5"/><supplied reason="lost">ἀπὸ ν</supplied><unclear>ό</unclear>του <unclear>εἰς</unclear> <choice><reg>βορρᾶν</reg><orig>β<unclear>ορρᾶ</unclear>ς</orig></choice> σχοινίων <choice><reg>ὁσαδή<supplied reason="lost">ποτε</supplied></reg><orig>ὅσαδί<supplied reason="lost">ποτε,</supplied></orig></choice>
<lb n="6"/><supplied reason="lost">ἀπὸ λι</supplied>βὸς εἰς <choice><reg>ἀπηλιώτην</reg><orig>ἀπηλιώτου</orig></choice> σχοινίων <num value="4"><hi rend="supraline">δ</hi></num> <gap reason="lost" extent="unknown" unit="character"/>
<lb n="7"/><supplied reason="lost">οὕτω π</supplied><unclear>οι</unclear>οῦμαι. <unclear>τ</unclear>ὰ <num value="4"><hi rend="supraline"><unclear>δ</unclear></hi></num> <unclear>ἐφ</unclear>’ ἑαυτά. <expan>γί<ex>νεται</ex></expan> <num value="16"><hi rend="supraline">ιϛ</hi></num>. λεγ<gap reason="lost" extent="unknown" unit="character"/>
<lb n="8"/>α<unclear>ὐ</unclear>τὸ τὸ <choice><reg>ἐμβαδὸν</reg><orig><unclear>ἐν</unclear>βατὸν</orig></choice> <supplied reason="lost"><num value="16"><hi rend="supraline"><unclear>ι</unclear>ϛ</hi></num></supplied>. οὕτως ἔχει.
<lb n="9"/><note xml:lang="en">decorative border</note>
<lb n="10"/><choice><reg>πύργος</reg><orig>πόργος</orig></choice> κρηπίδας ἔχων περὶ τῆς <subst><add place="inline">κρηπ<supplied reason="lost">ῖδος</supplied> <gap reason="lost" extent="unknown" unit="character"/></add><del rend="corrected">κρειπ<supplied reason="lost">ίδας</supplied></del></subst>
<lb n="11"/>ἔχων <choice><reg>πηχῶν</reg><orig>ποιχῶν</orig></choice> <num value="20"><hi rend="supraline">κ</hi></num>, ἡ δὲ <choice><reg>ἐσωτέρα</reg><orig>ἐσοτέρα</orig></choice> πηχῶν <subst><add place="inline"><num value="18"><hi rend="supraline"><unclear>ιη</unclear></hi></num></add><del rend="corrected">η</del></subst>, <supplied reason="lost">τὸ πάχος</supplied>
<lb n="12"/>πηχῶν <num value="2"><hi rend="supraline">β</hi></num>, ὕψος πηχῶν <num value="60"><hi rend="supraline">ξ</hi></num>. τὸ <choice><reg>δὲ</reg><orig>τὲ</orig></choice> μῆκο<unclear>ς</unclear>
<lb n="13"/>τοῦ τετραγώνου <num value="10">ϊ</num>, <unclear>τ</unclear><supplied reason="lost">ὸ</supplied> <unclear>πλ</unclear>άτος πηχῶν <num value="8"><hi rend="supraline">η</hi></num>. εὑρ<unclear>ε</unclear><supplied reason="lost">ῖν</supplied>
<lb n="14"/><choice><reg>πόσους</reg><orig>πόσος</orig></choice> πλίνθους δ<gap reason="illegible" quantity="2" unit="character"/>απανηαι. οὕτω π<unclear>ο</unclear><supplied reason="lost">ι</supplied>
<lb n="15" break="no"/>οῦμεν. συντίθω <num value="20"><hi rend="supraline">κ</hi></num> <unclear>καὶ</unclear> <num value="18"><hi rend="supraline">ιη</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="38"><hi rend="supraline">λη</hi></num>. ὧν ἥ<unclear>μ</unclear><supplied reason="lost">ισυ, <num value="19"><hi rend="supraline">ιθ</hi></num>.</supplied>
<lb n="16"/>ἐπὶ τὰς τοῦ πάχου<unclear>ς</unclear> <num value="2"><hi rend="supraline">β</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="38"><hi rend="supraline">λη</hi></num>. ἐπὶ τὸ <subst><add place="inline">ὕψος</add><del rend="corrected"><gap reason="illegible" quantity="1" unit="character"/>ψος</del></subst> <num value="38"><unclear>λ</unclear><supplied reason="lost"><hi rend="supraline">η</hi></supplied></num> <supplied reason="lost">ἐπὶ τὸν</supplied>
<lb n="17"/><choice><corr><num value="2"><hi rend="supraline">β</hi></num></corr><sic><num value="60"><hi rend="supraline">ξ</hi></num></sic></choice>. <expan>γί<ex>νεται</ex></expan> <num value="2280"><hi rend="supraline">Βσπ</hi></num>. ὁμοίως καὶ τοῦ τετραγώνου <supplied reason="lost">μῆκος <num value="10"><hi rend="supraline">ι</hi></num></supplied>
<lb n="18"/>ἐπὶ τὸν <num value="60"><hi rend="supraline">ξ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="20"><hi rend="supraline">κ</hi></num>. καὶ <num value="8"><hi rend="supraline">η</hi></num> ἐπὶ τὸν <num value="2">β</num>. <expan>γί<ex>νεται</ex></expan> <num value="16"><hi rend="supraline">ιϛ</hi></num>. <choice><reg>συντίθ<supplied reason="lost">ω</supplied></reg><orig>συτί<unclear>θ</unclear><supplied reason="lost">ω</supplied></orig></choice>
<lb n="19"/><num value="20">κ</num> καὶ <num value="16"><hi rend="supraline">ιϛ</hi></num> <expan>γί<ex>νεται</ex></expan> <num value="36"><hi rend="supraline">λ<unclear>ϛ</unclear></hi></num>. <supplied reason="lost">ἐπὶ</supplied> <unclear>τ</unclear>ὸν <num value="60"><hi rend="supraline">ξ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="2160"><hi rend="supraline">Βρξ</hi></num>. συ<supplied reason="lost">ντίθω</supplied>
<lb n="20"/><num value="2160"><hi rend="supraline">Βρξ</hi></num> καὶ <num value="2280"><hi rend="supraline">Βσπ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="4440"><hi rend="supraline">Δυ<unclear>μ</unclear></hi></num>. <unclear>ἐ</unclear>πὶ τὸν <num value="48"><hi rend="supraline">μη</hi></num>. <expan>γί<ex>νεται</ex></expan> <supplied reason="lost"><expan><ex>μυριάδες</ex></expan> <num value="21"><hi rend="supraline">κα</hi></num></supplied>
<lb n="21"/><num value="3120">Γρκ</num> α<gap reason="lost" quantity="1" unit="character"/>ἄρα <choice><reg>χωρεῖ</reg><orig>χωρ<unclear>ῆ</unclear></orig></choice> <supplied reason="lost">ὁ</supplied> <subst><add place="inline"><choice><reg>πύργος</reg><orig>π<supplied reason="omitted">ό</supplied>ργο<add place="above">υ</add>ς</orig></choice></add><del rend="corrected">πρκος</del></subst> πλίν<unclear>θ</unclear><supplied reason="lost">ους <expan><ex>μυριάδες</ex></expan> <num value="21"><hi rend="supraline">κα</hi></num> <num value="3120">Γρκ</num>.</supplied>
</ab></div>
<div n="v" type="textpart"><ab>
<lb n="1"/><gap reason="lost" extent="unknown" unit="line"/>
<lb n="1"/><note xml:lang="en">diagram</note> <num value="60">ξ</num> <num value="54"><unclear>ν</unclear>δ</num><num value="8">η</num> <gap reason="lost" extent="unknown" unit="character"/>
<lb n="2"/><app type="editorial"><lem resp="J. Lougovaya, Pylon 4 (2023) §3"><supplied reason="lost">τρίγ</supplied><unclear>ω</unclear>νον</lem><rdg><supplied reason="lost">τετράγ</supplied><unclear>ω</unclear>νον</rdg></app> <app type="editorial"><lem resp="J. Lougovaya, Pylon 4 (2023) §3"><choice><reg>ἰσόπλευρον</reg><orig>εἰσόπλευ<unclear>ρ</unclear>ον</orig></choice></lem><rdg>εἰς ὃ πλευ<unclear>ρ</unclear>ὸν</rdg></app> <app type="editorial"><lem resp="J. Lougovaya, Pylon 4 (2023) §3">ἔχο<supplied reason="lost">ν</supplied> <gap reason="lost" quantity="6" unit="character" precision="low"/></lem><rdg>ἔχο<supplied reason="lost">ν ἀπὸ νότου</supplied></rdg></app>
<lb n="3"/><app type="editorial"><lem resp="J. Lougovaya, Pylon 4 (2023) §3"><supplied reason="lost">πλευρ</supplied>ὰς</lem><rdg><supplied reason="lost">εἰς βορρ</supplied>ᾶς</rdg></app> σχοινίων <num value="30"><hi rend="supraline">λ</hi></num>, καὶ βάσις <app type="editorial"><lem resp="J. Lougovaya, Pylon 4 (2023) §3"><gap reason="lost" quantity="6" unit="character" precision="low"/>
<lb n="4"/><gap reason="lost" extent="unknown" unit="character"/> <supplied reason="lost">ε</supplied><unclear>ὑ</unclear>ρεῖν</lem><rdg><supplied reason="lost">σχοινί</supplied><lb n="4" break="no"/><supplied reason="lost">ων <num value="13"><hi rend="supraline">ιγ</hi></num>. ε</supplied><unclear>ὑ</unclear>ρεῖν</rdg></app> τὸ <choice><reg>ἐμβαδόν</reg><orig>ἐνβαδόν</orig></choice>. οὕτω <app type="editorial"><lem resp="J. Lougovaya, Pylon 4 (2023) §3">μ<unclear>ε</unclear><supplied reason="lost">τρ </supplied><gap reason="lost" extent="unknown" unit="character"/><supplied reason="lost">τὸ <num value="30"><hi rend="supraline">λ</hi></num></supplied></lem><rdg>μ<gap reason="lost" extent="unknown" unit="character"/> <supplied reason="lost">τὸ λ</supplied></rdg></app>
<lb n="5"/><supplied reason="lost">ἐφ’ ἑα</supplied>υτά· <expan>γί<ex>νεται</ex></expan> <num value="900"><hi rend="supraline">ϡ</hi></num>. ἐπὶ τὸν <num value="13"><hi rend="supraline">ιγ</hi></num>· <expan>γί<ex>νεται</ex></expan> <num value="11700"><expan><ex>μυριὰς</ex></expan> <hi rend="supraline">α</hi><supplied reason="lost"><hi rend="supraline">Αψ</hi></supplied></num><supplied reason="lost">. παρὰ</supplied>
<lb n="6"/><app type="editorial"><lem resp="J. Lougovaya, Pylon 4 (2023) §3"><supplied reason="lost">τὸν</supplied> <num value="30"><hi rend="supraline"><unclear>λ</unclear></hi></num></lem><rdg><supplied reason="lost">τὸν <num value="30"><hi rend="supraline">λ</hi></num></supplied></rdg></app>· <expan>γί<ex>νεται</ex></expan> <num value="390"><hi rend="supraline">τϙ</hi></num>. οὕτως ἔχει ὁμοίω<unclear>ς</unclear>.
<lb n="7"/><note xml:lang="en">diagram</note> <num value="30">λ</num> <g type="long-vertical-bar"/> <num value="390">τϙ</num> <g type="long-vertical-bar"/> <num value="390">τϙ</num> <g type="long-vertical-bar"/> <num value="13">ιγ</num> <g type="long-vertical-bar"/> <expan><ex>μυριὰς</ex></expan> <num value="1">α</num> <num value="1700">Αψ</num>
<lb n="8"/><choice><reg>τραπέζιον</reg><orig><supplied reason="lost">τρα</supplied>πέσδιον</orig></choice> τετράγωνον, τὸ μὲν μῆκος πηχῶν
<lb n="9"/><supplied reason="lost"><hi rend="supraline">μη</hi>,</supplied> τὸ <choice><reg>δὲ</reg><orig>τὲ</orig></choice> πλάτος πηχῶν <hi rend="diaeresis">ι</hi>, πάχος <choice><reg>δακτύλων</reg><orig>τακτύλων</orig></choice> <hi rend="supraline">ε</hi>,
<lb n="10"/><choice><reg>κορυφὴ</reg><orig><supplied reason="lost">κο</supplied>ρηφὴ</orig></choice> <choice><reg>δακτύλων</reg><orig>τακτήλων</orig></choice><hi rend="supraline">β</hi>. οὕτω ποιοῦμεν· συν
<lb n="11" break="no"/><supplied reason="lost">τίθ</supplied>ω τὸ πλάτος καὶ τὴν <choice><reg>κορυφήν</reg><orig>κορηφύν</orig></choice>, <hi rend="supraline">ι</hi><g type="slanting-stroke"/><g type="slanting-stroke"/> καὶ <hi rend="supraline">β</hi>. <expan>γί<ex>νεται</ex></expan> <hi rend="supraline">ιβ</hi>,
<lb n="12"/><supplied reason="lost">ὧ</supplied>ν <choice><reg>ἥμισυ</reg><orig>ἥμησυ</orig></choice> <hi rend="supraline">ϛ</hi>. πάλιν <choice><reg>πολυπλασιάζομεν</reg><orig>πολυπλαδιάσζωμεν</orig></choice> ἐπὶ
<lb n="13"/><supplied reason="lost">τ</supplied><unclear>ὰ</unclear>ς τοῦ πάχο<unclear>υ</unclear>ς ε, <expan>γί<ex>νεται</ex></expan> <hi rend="supraline">λ</hi>. ἐπὶ τὸ μῆκος πηχῶν
<lb n="14"/><supplied reason="lost"><hi rend="supraline">μη</hi>,</supplied> <expan>γ<unclear>ί</unclear><ex>νεται</ex></expan> <hi rend="supraline">Αυμ</hi>. παρὰ τὸν <hi rend="supraline">ρϙβ</hi> καὶ τὰ <choice><reg>λοιπὰ εἰς δακτύλους</reg><orig>ληπὰ ἰς τακτύλος</orig></choice>.
<lb n="15"/><supplied reason="lost"><expan>γί<ex>νεται</ex></expan></supplied> <hi rend="supraline">ζ</hi> καὶ <choice><reg>δάκτυλοι</reg><orig>δακτύλου</orig></choice> <hi rend="supraline">ιβ</hi>. <unclear>ο</unclear>ὕτως ἔχει ὁμοίως.
<lb n="16"/><note xml:lang="en">diagram</note> μῆκος πηχ<g type="slanting-stroke"/><g type="slanting-stroke"/> <num value="48">μη</num> <num value="12">ιβ</num> <num value="192">ρϙβ</num> <num value="7">ζ</num><g type="slanting-stroke"/><g type="slanting-stroke"/> καὶ <choice><reg>δακτήλων</reg><orig>δακτύλων</orig></choice> <num value="12"><hi rend="supraline">ιβ</hi></num> οὕτως ἔχει<g type="slanting-stroke"/>
<lb n="17"/><note xml:lang="en">palm frond and ankh</note>
</ab></div>
</div>
<div n="C" type="textpart">
<div n="r" type="textpart"><ab>
<lb n="1"/><choice><reg>ξύλον</reg><orig>ξύλων</orig></choice> νέον πη<unclear>χ</unclear><supplied reason="lost">ῶν <num value="28"><hi rend="supraline">κη</hi></num>, πλάτος μὲν</supplied>
<lb n="2"/><unclear>ἀ</unclear><supplied reason="lost">π</supplied><unclear>ὸ</unclear> <choice><reg>ῥίζοι</reg><orig><app type="alternative"><lem>ῥί<unclear>γ</unclear>οι</lem><rdg>ῥί<unclear>τ</unclear>οι</rdg></app></orig></choice> δακτύλων <num value="16">ιϛ</num>, <unclear>τ</unclear>ὸ δὲ <unclear>φ</unclear><supplied reason="lost">ύλλων</supplied>
<lb n="3"/><supplied reason="lost">δα</supplied>κτύλων <num value="12"><hi rend="supraline">ιβ</hi></num>, πάχος μὲν ῥι<supplied reason="omitted">ζ-</supplied> <subst><add place="inline">δακτ<unclear>ύ</unclear><supplied reason="lost">λων</supplied></add><del rend="corrected">γακτ<unclear>ύ</unclear><supplied reason="lost">λων</supplied></del></subst>
<lb n="4"/><supplied reason="lost"><num value="8"><hi rend="supraline">η</hi></num>, τὸ δὲ</supplied> φύλλων δακτύλων <num value="6"><hi rend="supraline">ϛ</hi></num>. εὑρ<supplied reason="lost">εῖν</supplied>
<lb n="5"/><gap reason="lost" atLeast="6" atMost="7" unit="character"/> τ<unclear>ὸ</unclear> ξύλον. οὕτω ποιοῦμαι. συν<unclear>τί</unclear><supplied reason="lost">θω</supplied>
<lb n="6"/><supplied reason="lost">τὸ πλ</supplied>άτος, <num value="16"><hi rend="supraline">ιϛ</hi></num> καὶ <num value="12"><hi rend="supraline">ιβ</hi></num>· <expan>γί<ex>νεται</ex></expan> <num value="28"><hi rend="supraline">κη</hi></num>· ὧν ἥμισυ <supplied reason="lost"><num value="14"><hi rend="supraline">ιδ</hi></num>. συν</supplied>
<lb n="7" break="no"/><supplied reason="lost">τί</supplied><unclear>θο</unclear>μ<unclear>ε</unclear>ν <subst><add place="inline">τὸ</add><del rend="corrected">τ<hi rend="supraline">β</hi></del></subst> πάχος, <num value="16"><surplus><hi rend="supraline">ι</hi></surplus><subst><add place="inline"><hi rend="supraline">ϛ</hi></add><del rend="corrected">κ</del></subst></num> καὶ <num value="8"><hi rend="supraline">η</hi></num>· <expan>γί<ex>νεται</ex></expan> <num value="14"><hi rend="supraline">ιδ</hi></num>· ὧν ἥμι<supplied reason="lost">συ <num value="7"><hi rend="supraline">ζ</hi></num>·</supplied>
<lb n="8"/><supplied reason="lost">ἐ</supplied><unclear>π</unclear>ὶ δὲ τ<supplied reason="lost">ὸ</supplied>ν <num value="14"><hi rend="supraline">ιδ</hi></num>· <expan>γί<ex>νεται</ex></expan> <num value="98"><hi rend="supraline">ϙη</hi></num>· ἐπὶ τὸ <unclear>μῆ</unclear>κο<unclear>ς</unclear>, πη<unclear>χ</unclear>ῶν <num value="28"><hi rend="supraline">κη</hi></num>·
<lb n="9"/><supplied reason="lost"><expan>γί<ex>νεται</ex></expan></supplied> <num value="2744"><supplied reason="lost"><hi rend="supraline">Β</hi></supplied><hi rend="supraline"><unclear>ψμδ</unclear></hi></num>. <unclear>τα</unclear>ῦτα μερίζομαι π<supplied reason="lost">α</supplied><unclear>ρ</unclear><supplied reason="lost">ὰ</supplied> <unclear>τ</unclear>ὸν <num value="288"><hi rend="supraline">σπ<unclear>η</unclear></hi></num>·
<lb n="10"/>κ<unclear>α</unclear>ὶ τὰ <choice><reg>λοιπὰ εἰς</reg><orig>λυ<unclear>πὰ</unclear> ἰς</orig></choice> δακτύλους <app type="editorial"><lem><num value="12"><hi rend="supraline">ιβ</hi></num></lem><rdg resp="ed.pr."><surplus><hi rend="supraline">ιβ</hi></surplus></rdg></app>· <expan>γί<ex>νεται</ex></expan> <num value="9"><hi rend="supraline">θ</hi></num> καὶ δακτύλ<supplied reason="lost">ων</supplied>
<lb n="11"/><num value="12"><hi rend="supraline">ιβ</hi></num> <num value="2/3"><hi rend="supraline">𐅷</hi></num>. οὕτως ἔχει ὁμοίως.<g type="slanting-stroke"/><g type="slanting-stroke"/>
<lb n="12"/><note xml:lang="en">diagram</note> <num value="6"><unclear>ϛ</unclear></num> <g type="long-vertical-bar"/> <num value="28">κη</num> <g type="long-vertical-bar"/> <num value="16">ι<unclear>ϛ</unclear></num> <g type="long-vertical-bar"/> <num value="12">ι<unclear>β</unclear></num>
<lb n="13"/><note xml:lang="en">decorative border</note>
<lb n="14"/><choice><reg>ανέβαλέν</reg><orig>ἀναίβαλέν</orig></choice> τις εἰς πλοῖο<unclear>ν</unclear> ἀ<unclear>π</unclear><supplied reason="lost">ὸ</supplied> τ<unclear>ο</unclear>ῦ <choice><reg>θησαυροῦ</reg><orig><subst><add place="inline"><unclear>θ</unclear>υσαυροῦ</add><del rend="corrected"><unclear>θ</unclear>υσαρροῦ</del></subst></orig></choice> τ<supplied reason="lost">ὸ</supplied>
<lb n="15"/><choice><reg>ἥμισυ</reg><orig>ἥμιση</orig></choice>, καὶ <choice><reg>εἰς</reg><orig>ἰς</orig></choice> <choice><reg>τὸ</reg><orig>δὸ</orig></choice> <choice><reg>δημόσιον</reg><orig>τημόσι<unclear>ο</unclear>ν</orig></choice> τὸ <supplied reason="lost">τ</supplied><unclear>ρί</unclear><supplied reason="lost">το</supplied><unclear>ν</unclear> <unclear>καὶ</unclear> <hi rend="diaeresis">ὑ</hi> πὲρ μισθ<supplied reason="lost">οῦ</supplied>
<lb n="16"/>ὀνηλάτου τὸ δωδέκατ<unclear>ο</unclear>ν, κ<supplied reason="lost">αὶ</supplied> <choice><reg>κατελείφθησαν</reg><orig>κ<unclear>ατα</unclear>λ<unclear>ί</unclear>φθης</orig></choice> <choice><reg>εἰς</reg><orig>ἰς</orig></choice> πλοί
<lb n="17" break="no"/>ον <choice><reg>πυροῦ</reg><orig>ποιροῦ</orig></choice> <choice><reg><expan>ἀ<ex>ρτάβαι</ex></expan></reg><orig><expan>ἀ<ex>ρτάβα</ex>ς</expan></orig></choice> <num value="50"><hi rend="supraline">ν</hi></num>. οὕτω <unclear>π</unclear>οιοῦμε<unclear>ν</unclear>. <unclear>συ</unclear>ντίθω τὸ ἥμισ
<lb n="18" break="no"/>υ καὶ τὸ τρίτον καὶ τὸ δωδέκατ<supplied reason="lost">ο</supplied>ν. <expan>γί<ex>νεται</ex></expan> <supplied reason="lost"><expan><ex>1/2</ex></expan></supplied> <num value="1/3"><supplied reason="omitted"><hi rend="supraline">γ</hi></supplied></num> <num value="1/12"><supplied reason="omitted"><hi rend="supraline">ιβ</hi></supplied></num>. τί <choice><reg>λείπειν</reg><orig>λίπιν</orig></choice>
<lb n="19"/><choice><reg>ἡ μονὰς μία</reg><reg>τὴν μονάδα μίαν</reg><orig>δὺν μονάτον μίαν</orig></choice>; <num value="1/12"><hi rend="supraline">ιβ</hi></num>. <num value="12"><hi rend="supraline">ι<unclear>β</unclear></hi></num> ἐπὶ τ<supplied reason="lost">ὸ</supplied>ν <num value="50"><hi rend="supraline">ν</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="600"><hi rend="supraline">χ</hi></num>.
<lb n="20"/>ἄρα <choice><reg>χωρήσει</reg><orig>χωρήσι</orig></choice> τὸ <choice><reg>πλοῖον</reg><orig>πλοῖων</orig></choice> <choice><reg>πυρ<supplied reason="lost">ο</supplied>ῦ</reg><orig>π<unclear>ο</unclear>ι<unclear>ρ</unclear><supplied reason="lost">ο</supplied><unclear>ῦ</unclear></orig></choice> <expan>ἀ<ex>ρτάβα</ex></expan>ς <num value="600"><hi rend="supraline">χ</hi></num>. <unclear>οὕ</unclear><supplied reason="lost">τ</supplied><unclear>ω</unclear><supplied reason="lost">ς ἔ</supplied>χει
<lb n="21"/>ὁμοίως
</ab></div>
<div n="v" type="textpart"><ab>
<lb n="1"/><supplied reason="lost">τρίγωνον</supplied> <choice><reg><supplied reason="lost">ἰσο</supplied>σκελὲς</reg><orig><supplied reason="lost">ἰσο</supplied><unclear>σ</unclear>κελὶ</orig></choice> ἀνὰ σχοινί<unclear>α</unclear> <num value="18"><hi rend="supraline">ιη</hi></num>, <choice><reg>κοινὴ</reg><orig>κ<unclear>ενὴ</unclear></orig></choice> <supplied reason="lost">βά</supplied>
<lb n="2" break="no"/><supplied reason="lost">σις <num value="48"><hi rend="supraline">μη</hi></num>. ε</supplied><unclear>ὑρ</unclear>εῖν τὰς ἄλλας πλευράς. <space extent="unknown" unit="character"/>
<lb n="3"/><supplied reason="lost">σχο</supplied><unclear>ι</unclear>νία <num value="18"><hi rend="supraline">ιη</hi></num> ἐφ’ ἑαυτά. <expan>γί<ex>νεται</ex></expan> <num value="324"><supplied reason="omitted"><hi rend="supraline">τ</hi></supplied><hi rend="supraline">κδ</hi></num>. καὶ τὸ <choice><reg>ἥμι<supplied reason="lost">συ</supplied></reg><orig>ἥμη<supplied reason="lost">συ</supplied></orig></choice>
<lb n="4"/><supplied reason="lost">τ</supplied>ῆς <choice><reg>βάσεως</reg><orig>βάσις</orig></choice>, <num value="24"><hi rend="supraline">κδ</hi></num>. <num value="24"><hi rend="supraline">κδ</hi></num> ἐφ’ αὑτά. <expan>γί<ex>νεται</ex></expan> <num value="576"><hi rend="supraline"><unclear>φ</unclear></hi><supplied reason="lost"><hi rend="supraline">ος</hi></supplied></num>.<num value="576"><supplied reason="lost"><hi rend="supraline">φος</hi></supplied></num> <supplied reason="lost">καὶ</supplied>
<lb n="5"/><num value="324"><supplied reason="lost"><hi rend="supraline">τ</hi></supplied><hi rend="supraline">κδ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="900"><hi rend="supraline">ϡ</hi></num>. ὧν πλευρὰ <num value="30"><hi rend="supraline">λ</hi></num>. ἄρα ἦν <supplied reason="lost">ἡ πλευρὰ</supplied>
<lb n="6"/><supplied reason="lost"><num value="30"><hi rend="supraline"><unclear>λ</unclear></hi></num></supplied> εὑρεῖν καὶ τὸ <choice><reg>ἐμβαδόν</reg><orig>ἐβαδόν</orig></choice>. οὕτο ποιοῦ<unclear>μ</unclear><supplied reason="lost">εν.</supplied>
<lb n="7"/><supplied reason="lost">τ</supplied>ὴν βάσιν ἐπὶ τὴν ἑκάστην ὀρθήν, <num value="48"><hi rend="supraline">μ</hi><supplied reason="lost"><hi rend="supraline">η</hi></supplied></num> <supplied reason="lost">ἐπὶ</supplied>
<lb n="8"/><supplied reason="lost">τὸ</supplied>ν <num value="30"><hi rend="supraline">λ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="1440"> <hi rend="supraline">Αυμ</hi></num>. ὡν ἥμισυ <num value="720"><hi rend="supraline">ψκ</hi></num>. <choice><reg>οὕτω</reg><orig>οὕτως</orig></choice> <unclear>ἔ</unclear><supplied reason="lost">χει</supplied>
<lb n="9"/><supplied reason="lost">ὁ</supplied>μοίως.
<lb n="10"/><note xml:lang="en">diagram</note> <num value="30">λ</num> <g type="long-vertical-bar"/> <num value="18">ιη</num> <g type="long-vertical-bar"/> <num value="720">ψκ</num> <g type="long-vertical-bar"/> <num value="48">μη</num>
<lb n="11"/>λοιπαὶ <choice><reg>α</reg><orig><num value="1"><hi rend="supraline">α</hi></num></orig></choice> <num value="1/4">δ</num>, τὸ <choice><reg><num value="1/7" rend="tick">ζ</num></reg><orig><hi rend="supraline">ζ</hi></orig></choice> ἐν <num value="7"><hi rend="supraline">ζ</hi></num> μόρι<unclear>α</unclear>· μὴ <supplied reason="omitted">πρόβα</supplied> <num value="100"><hi rend="supraline">ρ</hi></num>. ἔσται τὰ
<lb n="12"/>μόρια <supplied reason="lost"> <space extent="unknown" unit="character"/> </supplied> <choice><reg><num value="1/24" rend="tick">κδ</num></reg><orig>κδ</orig></choice>, <choice><reg><num value="1/28" rend="tick">κη</num></reg><orig>κη</orig></choice>, <choice><reg><num value="1/35" rend="tick">λε</num></reg><orig>λε</orig></choice>, <choice><reg><num value="1/42" rend="tick">μβ</num></reg><orig>μβ</orig></choice>, <choice><reg><num value="1/56" rend="tick">νϛ</num></reg><orig>νϛ</orig></choice>, <choice><reg><num value="1/60" rend="tick">ξ</num></reg><orig>ξ</orig></choice>, <choice><reg><num value="1/70" rend="tick">ο</num></reg><orig><hi rend="supraline">ο</hi></orig></choice>.
<lb n="13"/><choice><reg>διῶρυξ</reg><orig>διῶραξ</orig></choice> π<unclear>ο</unclear>τ<unclear>α</unclear>μοῦ, μῆκο<supplied reason="omitted">ς</supplied> σχοινία <num value="2"><hi rend="supraline">β</hi></num> <num value="1/4">δ</num>, πλάτος
<lb n="14"/><unclear>ξ</unclear>ύλων <num value="30"><hi rend="supraline">λ</hi></num>, βάθ<unclear>ο</unclear><supplied reason="lost">ς</supplied> π<unclear>η</unclear>χῶν <num value="5"><hi rend="supraline">ε</hi></num>. <choice><reg>οὕτο</reg><orig>οὕτω</orig></choice> ποιοῦμεν.
<lb n="15"/>ἔχει τὸ <choice><reg>σχοινίον</reg><orig>σχ<unclear>ο</unclear>ινίω<supplied reason="lost">ν</supplied></orig></choice> <unclear>π</unclear>ήχεις <num value="96"><hi rend="supraline">ϙς</hi></num>. <num value="2">β</num> <num value="1/4">δ</num> ἐπὶ τὸν <num value="96"><hi rend="supraline">ϙς</hi></num>
<lb n="16"/><expan>γί<ex>νεται</ex></expan> <num value="216"><hi rend="supraline">σις</hi></num>. κ<unclear>α</unclear>ὶ ἔχει τ<supplied reason="lost">ὸ</supplied> <choice><reg><unclear>ξύ</unclear>λον</reg><orig><unclear>ξ</unclear>ύλων</orig></choice> πηχῶν <num value="3"><hi rend="supraline">γ</hi></num>. <num value="3"><hi rend="supraline">γ</hi></num> ἐπὶ τὸν
<lb n="17"/><num value="30"><hi rend="supraline">λ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="90"><hi rend="supraline">ϙ</hi></num>. <num value="90"><hi rend="supraline">ϙ</hi></num><g type="slanting-stroke"/><g type="slanting-stroke"/> ἐπὶ τὸν <num value="216"><hi rend="supraline">σις</hi></num>. <expan>γί<ex>νεται</ex></expan> <expan><ex>μυριὰς</ex></expan> <num value="19440">αΘυμ</num>. ἐπ<supplied reason="lost">ὶ</supplied> <unclear>τ</unclear>ὸ <unclear>β</unclear>ά
<lb n="18" break="no"/>θος, πηχῶ<unclear>ν</unclear> <num value="5"><hi rend="supraline">ε</hi></num>. <expan>γί<ex>νεται</ex></expan> <expan><ex>μυριάδες</ex></expan> <num value="97200">θΖσ</num>. ἔστι ναύβια, π<unclear>αρ</unclear>ὰ
<lb n="19"/>τὸν <num value="27"><hi rend="supraline">κζ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="3600"><hi rend="supraline">Γχ</hi></num>. οὕτως ἔχει ὁμοίως.
<lb n="20"/><note xml:lang="en">diagram</note> σχοι<g type="slanting-stroke"/> <num value="30">β</num> <num value="1/4">δ</num> <g type="long-vertical-bar"/> ξ<supplied reason="lost">υ</supplied><unclear>λ</unclear><g type="slanting-stroke"/> <num value="30"><hi rend="supraline"><unclear>λ</unclear></hi></num> <g type="long-vertical-bar"/> <gap reason="illegible" quantity="2" unit="character"/> <g type="long-vertical-bar"/> <num value="3600"><hi rend="supraline">Γχ</hi></num>
</ab></div>
</div>
<div n="D" type="textpart">
<div n="r" type="textpart"><ab>
<lb n="1"/><gap reason="lost" extent="unknown" unit="line"/>
<lb n="1"/><gap reason="lost" atLeast="6" atMost="7" unit="character"/><gap reason="illegible" quantity="2" unit="character"/>αδυο<gap reason="illegible" quantity="1" unit="character"/><gap reason="lost" quantity="17" unit="character"/>
<lb n="2"/><gap reason="lost" quantity="4" unit="character"/><gap reason="illegible" quantity="1" unit="character"/><gap reason="lost" quantity="1" unit="character"/> <unclear>ἰ</unclear><supplied reason="lost">σ</supplied><unclear>ο</unclear>σκελὴς ἀν<unclear>ὰ</unclear> σχοι<unclear>νία</unclear> <supplied reason="lost"><num value="20"><hi rend="supraline">κ</hi></num> <gap reason="illegible" quantity="8" unit="character"/></supplied>
<lb n="3"/><choice><reg>κοινὴ</reg><orig><supplied reason="lost">κ</supplied><unclear>εν</unclear><supplied reason="lost">ὴ</supplied></orig></choice> <unclear>β</unclear>άσις <num value="32"><hi rend="supraline">λβ</hi></num>. εὑρεῖν τὰς ἄλλας πλε<unclear>υ</unclear><supplied reason="lost">ράς. οὕ</supplied>
<lb n="4" break="no"/><supplied reason="lost">τω</supplied> <unclear>π</unclear>οιοῦμαι. <choice><reg>λαμβάνομεν</reg><orig>λαβάνωμεν</orig></choice> τὸ <choice><reg>ἥμισυ</reg><orig>ἥμυσυ</orig></choice> <supplied reason="lost">τῆς βά</supplied>
<lb n="5" break="no"/><supplied reason="lost">σε</supplied><unclear>ω</unclear>ς, <num value="16"><hi rend="supraline">ιϛ</hi></num>. ἐφ’ ἑαυτά. <expan>γί<ex>νεται</ex></expan> <num value="256"><hi rend="supraline">σνϛ</hi></num>. καὶ τὰ <num value="20"><hi rend="supraline">κ</hi></num> <unclear>ἐφ</unclear>’ <supplied reason="lost">ἑαυτά.</supplied>
<lb n="6"/><supplied reason="lost"><expan>γί<ex>νεται</ex></expan></supplied> <num value="400"><hi rend="supraline">υ</hi></num>. ἀπὸ <choice><reg>τῶν</reg><orig>τῶ</orig></choice> <num value="400"><hi rend="supraline">υ</hi></num> ὑφέλομεν <num value="256"><hi rend="supraline">σνϛ</hi></num>. λοιπαὶ <num value="144"><hi rend="supraline">ρ<unclear>μ</unclear></hi><supplied reason="lost"><hi rend="supraline">δ</hi></supplied></num>.
<lb n="7"/><supplied reason="lost">ὧν πλ</supplied>ευρὰ <num value="12"><hi rend="supraline">ιβ</hi></num>. ἄρα ἦν ἡ ἑκάστη ὀρθὴ <num value="12"><hi rend="supraline">ιβ</hi></num>. εὑ<supplied reason="lost">ρεῖν</supplied>
<lb n="8"/><supplied reason="lost">τὸ ἐ</supplied>μβαδόν. τὴν βάσιν ἐπὶ τὴν ὀρθήν, <num value="12">ιβ</num> <supplied reason="lost">ἐπὶ</supplied>
<lb n="9"/><supplied reason="lost">τὸ</supplied><unclear>ν</unclear> <num value="16"><hi rend="supraline">ι<unclear>ϛ</unclear></hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="192"><hi rend="supraline">ρο</hi>ͅ<hi rend="supraline">β</hi></num>. ὧν ἥμισυ <num value="96"><hi rend="supraline">ο</hi>ͅ<hi rend="supraline">ϛ</hi></num>. ἄρα ἦν τὸ <supplied reason="lost">ἐμ</supplied>
<lb n="10" break="no"/><unclear>β</unclear><supplied reason="lost">α</supplied>δὸν ἀρουρῶν <num value="96"><hi rend="supraline">ο</hi>ͅ<hi rend="supraline">ϛ</hi></num>. οὕτως ἔχει ὁ<supplied reason="lost">μοί</supplied>
<lb n="11" break="no"/><unclear>ω</unclear>ς.
<lb n="12"/><note xml:lang="en">diagram</note> ἄ<unclear>ρ</unclear>α ἦν αὐ<unclear>τ</unclear>ὴ <num value="12"><hi rend="supraline">ιβ</hi></num> <g type="long-vertical-bar"/> <num value="192">ροβ</num> <g type="long-vertical-bar"/> <num value="16">ις</num> <g type="long-vertical-bar"/> <subst><add place="inline"><num value="96"><hi rend="supraline">ο</hi>ͅ<hi rend="supraline">ϛ</hi></num></add><del rend="corrected">ϙϲ</del></subst> <g type="long-vertical-bar"/> <choice><reg>κοινὴ</reg><orig>κ<unclear>ι</unclear>νὴ</orig></choice> βάσις <num value="32">λβ</num> <g type="long-vertical-bar"/> <num value="16">ις</num>
<lb n="13"/><unclear>ἔτ</unclear>ρεχέν τις <unclear>εἰς</unclear> <num value="32"><hi rend="supraline">λβ</hi></num> ἡμέρας <choice><reg>στάδια</reg><orig>σδά<unclear>δ</unclear><supplied reason="lost">ι</supplied>α</orig></choice> <num value="9"><hi rend="supraline">θ</hi></num>. <choice><reg>μεθ’</reg><orig>μηθ’</orig></choice> ἡ<unclear>μ</unclear><supplied reason="lost">έρας</supplied>
<lb n="14"/><num value="12"><hi rend="supraline">ι<unclear>β</unclear></hi></num> ἕτερος ἐπ<supplied reason="lost">αν</supplied>ελθὼν ἔτρεχεν <unclear>σ</unclear><supplied reason="lost">τ</supplied><unclear>ά</unclear>δια <num value="15"><supplied reason="lost"><hi rend="supraline">ι</hi></supplied><hi rend="supraline">ε</hi></num>.
<lb n="15"/>ε<unclear>ὑ</unclear>ρεῖν ἐν πόσ<supplied reason="lost">αις</supplied> <choice><reg>ἡμέραις</reg><orig><unclear>ἡ</unclear>μέρας</orig></choice> ὁ <unclear>δ</unclear>εύτερος <choice><reg>ἀντιλήψεται</reg><orig>ἀ<supplied reason="lost">ν</supplied><unclear>τ</unclear>αλή<supplied reason="lost">ψεται</supplied></orig></choice>
<lb n="16"/>τὸν πρ<unclear>ῶτον</unclear>. <unclear>οὕ</unclear>τω ποιοῦ<unclear>μ</unclear>εν. <num value="12"><hi rend="supraline">ιβ</hi></num> ἐπὶ τὸ<unclear>ν</unclear> <supplied reason="lost"><num value="9"><hi rend="supraline">θ</hi></num>.</supplied>
<lb n="17"/><expan>γί<ex>νεται</ex></expan> <num value="108"><hi rend="supraline">ρη</hi></num>. ἀπὸ τῶ<unclear>ν</unclear> <num value="15"><supplied reason="lost"><hi rend="supraline">ι</hi></supplied><hi rend="supraline">ε</hi></num> ὑφέλομ<unclear>α</unclear>ι <num value="9"><hi rend="supraline">θ</hi></num>. λοιπαὶ <num value="6"><hi rend="supraline">ϛ</hi></num>.
<lb n="18"/><choice><reg>τοῦ</reg><orig>τὸ</orig></choice> <num value="108">ρη</num> τὸ <choice><reg>ὀκτωκαιδέκατον</reg><orig>ὠγ<unclear>δ</unclear>οωκετέκατον</orig></choice>, <num value="6"><hi rend="supraline">ϛ</hi></num>. ἄρα ὁ <choice><reg>δεύτερος</reg><orig>τεύ<unclear>τε</unclear><supplied reason="lost">ρος</supplied></orig></choice>
<lb n="19"/><choice><reg>ἀντιλήψεται</reg><orig><supplied reason="lost">ἀ</supplied><unclear>ν</unclear>δαλ<unclear>ύ</unclear>ψητ<unclear>α</unclear><supplied reason="lost">ι</supplied></orig></choice> <supplied reason="lost">τ</supplied>ὸν πρῶτον ἐν <num value="18"><hi rend="supraline">ι<unclear>η</unclear></hi></num> <choice><reg>ἡμέραις</reg><orig>ἡμέρας</orig></choice>.
</ab></div>
<div n="v" type="textpart"><ab>
<lb n="1"/><gap reason="lost" extent="unknown" unit="line"/>
<lb n="1"/><gap reason="lost" quantity="17" unit="character"/><gap reason="illegible" quantity="5" unit="character"/><gap reason="lost" quantity="11" unit="character"/>
<lb n="2"/><gap reason="lost" quantity="9" unit="character"/> <unclear>ε</unclear><supplied reason="lost">ὑ</supplied><unclear>ρ</unclear><supplied reason="lost">ε</supplied><unclear>ῖ</unclear>ν <unclear>τ</unclear><supplied reason="lost">ὰς</supplied> <unclear>ἄλ</unclear>λας πλευράς. οὕτω <unclear>π</unclear><supplied reason="lost">ο</supplied><unclear>ι</unclear><supplied reason="lost">οῦμεν.</supplied>
<lb n="3"/><gap reason="lost" atLeast="5" atMost="6" unit="character"/> <choice><reg>πυθαγορικὸν</reg><orig>πεθακωρικὸν</orig></choice> ὀρθογώνιον <num value="3"><hi rend="supraline">γ</hi></num> <num value="4"><hi rend="supraline">δ</hi></num> <num value="5"><hi rend="supraline">ε</hi></num>, <supplied reason="lost">ὀρθὴ <num value="3"><hi rend="supraline">γ</hi></num>, βά</supplied>
<lb n="4" break="no"/><supplied reason="lost">σις</supplied> <num value="4"><hi rend="supraline"><unclear>δ</unclear></hi></num>, <choice><reg>ὑποτείνουσα</reg><orig>ὑποτίνουσα</orig></choice> <num value="5"><hi rend="supraline">ε</hi></num>, σὺν περιοχῇ <num value="12"><hi rend="supraline">ιβ</hi></num>. συν<unclear>τ</unclear><supplied reason="lost">ίθω τὰ</supplied>
<lb n="5"/><supplied reason="lost"><num value="3">γ</num><g type="slanting-stroke"/><g type="slanting-stroke"/></supplied> <num value="4"><unclear>δ</unclear></num><g type="slanting-stroke"/><g type="slanting-stroke"/> <num value="5"><hi rend="supraline">ε</hi></num><g type="slanting-stroke"/><g type="slanting-stroke"/> καὶ <num value="12"><hi rend="supraline">ιβ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="24"><hi rend="supraline">κδ</hi></num>. <choice><reg>ἀπόδειξις</reg><orig>ἀπόδιξει<supplied reason="lost">ς</supplied></orig></choice>. <unclear>μ</unclear>ερίζ<unclear>ο</unclear><supplied reason="lost">μαι τὸν</supplied>
<lb n="6"/><num value="192"><supplied reason="lost"><hi rend="supraline">ρο</hi>ͅ<hi rend="supraline">β</hi></supplied></num> παρὰ τὸν <num value="24"><hi rend="supraline">κδ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="8">η</num><g type="slanting-stroke"/><g type="slanting-stroke"/>. ἐπὶ τὸν <num value="3"><hi rend="supraline">γ</hi></num>. διὰ τί ἐ<unclear>π</unclear><supplied reason="lost">ὶ <num value="3"><hi rend="supraline">γ</hi></num>; ὅτι</supplied>
<lb n="7"/><supplied reason="lost">ἡ</supplied> ὀρθὴ <num value="3"><hi rend="supraline">γ</hi></num>. <num value="8">η</num> ἐπὶ τὸν <num value="3"><hi rend="supraline">γ</hi></num>. <supplied reason="omitted"><expan>γί<ex>νεται</ex></expan></supplied> <num value="24"><hi rend="supraline">κδ</hi></num>. ἔσται ὀρθ<supplied reason="lost">ὴ <num value="24"><hi rend="supraline">κδ</hi></num>.</supplied>
<lb n="8"/><supplied reason="lost">καὶ</supplied> <num value="8"><hi rend="supraline">η</hi></num><g type="slanting-stroke"/><g type="slanting-stroke"/> ἐπὶ τὸν <num value="4"><hi rend="supraline">δ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="32">λ͂<hi rend="supraline">β</hi></num>. καὶ <num value="8"><hi rend="supraline">η</hi></num> ἐπὶ τὸν <num value="5"><hi rend="supraline">ε</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="40"><hi rend="supraline">μ</hi></num><g type="slanting-stroke"/><g type="slanting-stroke"/>. <gap reason="lost" quantity="4" unit="character"/> ἄρ<unclear>α</unclear> <unclear>ἦ</unclear><supplied reason="lost">ν</supplied>
<lb n="9"/><supplied reason="lost">ἡ</supplied> βάσις <num value="32">λ͂<hi rend="supraline">β</hi></num>, <choice><reg>ὑποτείνουσα</reg><orig>ὑποτίνουσα</orig></choice> <num value="40"><hi rend="supraline">μ</hi></num>. εὑρεῖν τὸ <choice><reg>ἐμβαδόν</reg><orig>ἐνβα<supplied reason="lost">δόν</supplied></orig></choice>. <unclear>τὴν</unclear>
<lb n="10"/><supplied reason="lost">βά</supplied><unclear>σ</unclear>ιν ἐπὶ τὴν ὀρθήν, <subst><add place="inline"><num value="24"><hi rend="supraline">κδ</hi></num></add><del rend="corrected"><gap reason="illegible" quantity="2" unit="character"/><certainty match=".." locus="value"/></del></subst> ἐπὶ <num value="32">λ͂<hi rend="supraline">β</hi></num>. <expan><unclear>γ</unclear>ί<ex>νεται</ex></expan> <num value="768"><hi rend="supraline">ψ<unclear>ξη</unclear></hi></num>. ὧν <num value="1/2"><unclear>ἥ</unclear>μισυ</num>
<lb n="11"/><num value="384"><supplied reason="lost">τ</supplied><unclear>π</unclear>δ</num>. ἔσται τὸ <choice><reg>ἐμβαδὸν</reg><orig>ἐνβαδὸν</orig></choice> ἀρουρῶν <num value="388"><unclear>τπη</unclear></num>. εὑρεῖν καὶ <choice><reg>ἡ</reg><orig>τὴν</orig></choice>
<lb n="12"/><choice><reg>περιοχὴ</reg><orig><supplied reason="lost">π</supplied>εριοχήν</orig></choice>. συντίθω <num value="24"><hi rend="supraline">κδ</hi></num> καὶ <num value="32">λ͂<hi rend="supraline">β</hi></num> καὶ <num value="40"><hi rend="supraline">μ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="96"><hi rend="supraline">o</hi>ͅ<hi rend="supraline">ϛ</hi></num>. ἔσται τὴν
<lb n="13"/><supplied reason="lost">π</supplied>εριοχὴν <num value="96"><hi rend="supraline">o</hi>ͅ<hi rend="supraline">ϛ</hi></num>. καὶ συντίθω τὴ<unclear>ν</unclear> <unclear>ὀ</unclear>ρθὴ<unclear>ν</unclear> καὶ τὴν βάσιν
<lb n="14"/><supplied reason="lost">κ</supplied><unclear>α</unclear>ὶ τὴν <choice><reg>ὑποτείνουσαν</reg><orig>ὑποτίνουσα</orig></choice>, <num value="24"><hi rend="supraline">κδ</hi></num> καὶ <num value="32">λ͂<hi rend="supraline">β</hi></num> καὶ <num value="40"><hi rend="supraline">μ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="96"><hi rend="supraline">o</hi>ͅ<hi rend="supraline">ϛ</hi></num>. ἄρα ἦν ἡ ὀρθ<supplied reason="lost">ὴ</supplied>
<lb n="15"/><supplied reason="lost">σ</supplied><unclear>ὺ</unclear>ν <choice><reg>βάσει</reg><orig>βάσις</orig></choice> σὺν <choice><reg>ὑποτεινούσῃ</reg><orig>ὑποτινούσᾳ</orig></choice> <num value="96"><hi rend="supraline">o</hi>ͅ<hi rend="supraline">ϛ</hi></num>. καὶ σὺν περιοχῇ, <num value="96"><hi rend="supraline">o</hi>ͅ<hi rend="supraline">ϛ</hi></num>.
<lb n="16"/><supplied reason="lost">σ</supplied>υντίθω <num value="96"><hi rend="supraline">o</hi>ͅ<hi rend="supraline">ϛ</hi></num> καὶ <num value="96"><hi rend="supraline">o</hi>ͅ<hi rend="supraline">ϛ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="192"><hi rend="supraline">ρο</hi>ͅ<hi rend="supraline">β</hi></num>. οὕτως ἔχει ὁμοίως.<g type="slanting-stroke"/><g type="slanting-stroke"/>
<lb n="17"/><note xml:lang="en">decorative border, diagram</note> <num value="44">κδ</num> <num value="192">ρϙβ</num> <num value="384"><hi rend="supraline">τπδ</hi></num> <num value="40">μ</num>, decorative border
<lb n="18"/><note xml:lang="en">decorative border</note>
<lb n="19"/><supplied reason="lost">ὄρυ</supplied>γμα <choice><reg>στρογγύλον</reg><orig>στροκύλουν</orig></choice>, ἡ ἄνω διάμετρος π<supplied reason="lost">η</supplied>χῶν
<lb n="20"/><supplied reason="lost">ὁσ</supplied><unclear>ω</unclear>νδήποτε, τὸ βάθος πηχῶν <num value="3"><hi rend="supraline">γ</hi></num>. ἐπὶ ναύβια <num value="21"><hi rend="supraline">κα</hi></num> <num value="1/3">γ</num><g type="slanting-stroke"/><g type="slanting-stroke"/>.
<lb n="21"/><supplied reason="lost">οὕ</supplied><unclear>τ</unclear>ω ποιοῦμαι. <choice><reg>ἀναλύω</reg><orig>ἀναλοίω</orig></choice> τὰ ναύβια εἰς πήχεις.
<lb n="22"/><supplied reason="lost">ἔ</supplied>χει <choice><reg>τὸ</reg><orig>τὸν</orig></choice> ναύβιον πήχεις <num value="27"><hi rend="supraline">κζ</hi></num>. <num value="21"><hi rend="supraline">κα</hi></num> <num value="1/3">γ</num> ἐπὶ τὸν <num value="27"><hi rend="supraline">κζ</hi></num>.
<lb n="23"/><expan><unclear>γ</unclear>ί<ex>νεται</ex></expan> <num value="576"><hi rend="supraline">φος</hi></num>. παρὰ τὸν τὸ βάθος, πηχῶν <num value="3"><hi rend="supraline">γ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="192">ρ<unclear>ϙ</unclear><supplied reason="lost">β.</supplied></num>
<lb n="24"/><supplied reason="lost">τ</supplied>ούτων <choice><reg>προστίθομεν</reg><orig>προστίθωμεν</orig></choice> τὸ <choice><reg>τρίτον</reg><orig>τρίτων</orig></choice>, <num value="64"><hi rend="supraline">ξδ</hi></num>. συντίθ<unclear>ω</unclear>
<lb n="25"/><num value="192"><hi rend="supraline">ρο</hi>ͅ<hi rend="supraline">β</hi></num> καὶ <num value="64"><hi rend="supraline"><unclear>ξ</unclear>δ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="256"><hi rend="supraline">σνς</hi></num>. ὧν πλευρὰ <num value="16"><hi rend="supraline">ις</hi></num>.
</ab></div>
</div>
<div n="E" type="textpart">
<div n="r" type="textpart"><ab>
<lb n="1"/><supplied reason="lost">ἄρα ἦν ἡ διά</supplied><unclear>μ</unclear>ετρος πηχῶν <num value="16"><hi rend="supraline">ι<unclear>ς</unclear></hi></num>. <gap reason="lost" extent="unknown" unit="character"/>
<lb n="2"/><supplied reason="lost">ὄ</supplied><unclear>ρυ</unclear>γμα <choice><reg>στρογγύλον</reg><orig>στρονκύλουν</orig></choice>, ἡ ἄνω διάμετρος <supplied reason="lost"><space extent="unknown" unit="character"/></supplied>
<lb n="3"/>πηχῶν <num value="16"><hi rend="supraline">ις</hi></num>, τὸ βάθος πηχῶν <num value="3"><hi rend="supraline">γ</hi></num>. εὑρεῖν τ<supplied reason="lost">ὰ ναύ</supplied>
<lb n="4" break="no"/><unclear>β</unclear>ια. <supplied reason="lost">ο</supplied>ὕτω ποιοῦμεν. τὰ <num value="16"><hi rend="supraline">ις</hi></num> τῆς <choice><reg>διαμέτρου</reg><orig>διάμετρο<unclear>ς</unclear></orig></choice> <supplied reason="lost">ἐφ’ ἑαυ</supplied>
<lb n="5" break="no"/>τά. <expan><unclear>γ</unclear><supplied reason="lost">ί<ex>νεται</ex></supplied></expan> <num value="256"><hi rend="supraline">σνς</hi></num>. τούτων <choice><reg>ὑφέλομεν</reg><orig>ἡφέλωμεν</orig></choice> τὸ τέταρτ<supplied reason="lost">ον,</supplied>
<lb n="6"/><num value="64"><hi rend="supraline">ξδ</hi></num>. <unclear>ἀ</unclear><supplied reason="lost">π</supplied><unclear>ὸ</unclear> τῶν <num value="256"><hi rend="supraline">σνς</hi></num> <choice><reg>ὑφέλομεν</reg><orig>οἱφέλωμεν</orig></choice> <num value="64"><hi rend="supraline">ξδ</hi></num>. <choice><reg>λοιπαὶ</reg><orig>λοιπὲ</orig></choice> <supplied reason="lost"><num value="192"><hi rend="supraline">ρ</hi><supplied reason="lost"><hi rend="supraline">ο</hi>ͅ<hi rend="supraline">β</hi></supplied></num>.</supplied>
<lb n="7"/><supplied reason="lost">ἐ</supplied><unclear>πὶ</unclear> <unclear>τὸ</unclear> βάθος, πηχῶν <num value="3"><hi rend="supraline">γ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="576"><hi rend="supraline">φος</hi></num>. ἔστι τὰ <unclear>ν</unclear><supplied reason="lost">αύβια,</supplied>
<lb n="8"/><unclear>π</unclear><supplied reason="lost">αρὰ</supplied> τὸν <num value="27"><hi rend="supraline">κζ</hi></num> . <expan>γί<ex>νεται</ex></expan> <num value="21"><hi rend="supraline">κα</hi></num> <num value="3"><hi rend="supraline">γ</hi></num><g type="slanting-stroke"/><g type="slanting-stroke"/>. ἔσται ναύβια <num value="21"><hi rend="supraline">κα</hi></num> <num value="3"><hi rend="supraline">γ</hi></num>. οὕτω<supplied reason="lost">ς</supplied>
<lb n="9"/>ἔ<unclear>χ</unclear><supplied reason="lost">ε</supplied>ι ὁμοίως.
<milestone rend="paragraphos" unit="undefined"/>
<lb n="10"/><note xml:lang="en">diagram</note> <num value="16">ιϛ</num> <g type="long-vertical-bar"/> <num value="21">κα</num> <num value="3">γ</num><g type="slanting-stroke"/><g type="slanting-stroke"/> <g type="long-vertical-bar"/> <num value="3">γ</num>
<lb n="11"/>ὄρυγμα <choice><reg>στρογγύλον</reg><orig><unclear>στ</unclear>ρονκύλουν</orig></choice> ἡ οὗ <choice><reg>περιφέρεια</reg><orig>πε<unclear>ρειφ</unclear><supplied reason="lost">έρεια</supplied></orig></choice>
<lb n="12"/>πηχῶν <choice><reg>ὁσωνδήποτε</reg><orig>ὁσοντήποτε</orig></choice>, τὸ βά<unclear>θ</unclear><supplied reason="lost">ος π</supplied><unclear>ηχ</unclear><supplied reason="lost">ῶν <num value="9"><hi rend="supraline">θ</hi></num>.</supplied>
<lb n="13"/><choice><reg>ἀνεβλήθη</reg><orig>ἀνηβλήθη</orig></choice> να<unclear>ύ</unclear>βια <num value="16"><hi rend="supraline">ις</hi></num>. εὑρεῖν τ<unclear>ὴν</unclear> <choice><reg>περιφέρ<lb n="14" break="no"/>ειαν</reg><orig><unclear>περ</unclear><supplied reason="lost">ι</supplied>πέρ
<lb n="14" break="no"/>ειαν</orig></choice>. οὕτω ποιοῦμεν. <choice><reg>ἀναλύω</reg><orig>ἀναλοίω</orig></choice> τὰ <choice><reg>ναύβια</reg><orig><unclear>ν</unclear>άβ<unclear>ια</unclear></orig></choice>
<lb n="15"/><subst><add place="inline">εἰς</add><del rend="corrected">εςς <certainty match=".." locus="value"/></del></subst> πήχεις. <num value="16"><hi rend="supraline">ις</hi></num> ἐπὶ τὸν <num value="27"><hi rend="supraline">κζ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="432"><hi rend="supraline"><unclear>υ</unclear>λβ</hi></num>. παρὰ τ<supplied reason="lost">ὸ</supplied>
<lb n="16"/>βάθος, πηχῶν <num value="9"><hi rend="supraline">θ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="48"><hi rend="supraline">μη</hi></num>. ἐπ<supplied reason="lost">ὶ</supplied> τὸν <num value="12"><hi rend="supraline">ιβ</hi></num> <unclear>τ</unclear><supplied reason="lost">ῆς</supplied>
<lb n="17"/> <choice><reg>περιφερείας</reg><orig>περιφερίας</orig></choice>. <expan>γί<ex>νεται</ex></expan> <num value="576"><hi rend="supraline">φος</hi></num>. ὧν πλευρὰ <num value="24"><hi rend="supraline">κδ</hi></num>. ἄρα <unclear>ἦ</unclear><supplied reason="lost">ν</supplied>
<lb n="18"/>ἡ ἄνω <choice><reg>περιφέρεια</reg><orig>περιφέρ<unclear>η</unclear>α</orig></choice> πηχῶν <num value="24"><hi rend="supraline">κδ</hi></num>. ο<unclear>ὕ</unclear>τως <unclear>ἔχ</unclear>ει
<lb n="19"/>ὁμοίως.
<milestone rend="paragraphos" unit="undefined"/>
<lb n="20"/><note xml:lang="en">partial decorative border, diagram</note> <num value="24">κ<unclear>δ</unclear></num> <g type="long-vertical-bar"/> <num value="16">ιϛ</num> <g type="long-vertical-bar"/> <num value="9">θ</num>
</ab></div>
<div n="v" type="textpart"><ab>
<lb n="1"/><supplied reason="lost">ἔχει τὸ σχοινίο</supplied>ν τὸ γεωμετρικὸν <unclear>ὄγ</unclear><supplied reason="lost">δοα <num value="8"><hi rend="supraline">η</hi></num>, τὸ δὲ ὄγ</supplied>
<lb n="2" break="no"/><supplied reason="lost">δ</supplied><unclear>ο</unclear>ον ἔχει πήχεις <num value="12"><hi rend="supraline">ιβ</hi></num>, ὥστε εἶναι τ<unclear>ὸ</unclear> <unclear>σχοι</unclear><supplied reason="lost">νίον τὸ</supplied>
<lb n="3"/><choice><reg>γεωμετρικὸν</reg><orig><supplied reason="lost">γ</supplied>εομετρικὸν</orig></choice> πηχῶν <surplus>ἐστιν</surplus> <num value="96"><hi rend="supraline">ο</hi>ͅ<hi rend="supraline">ς</hi></num>, τ<unclear>ὸ</unclear> <choice><reg>εὐθυμετρικόν</reg><orig><unclear>εὐθ</unclear>ημετρικό<unclear>ν</unclear></orig></choice>
<lb n="4"/><unclear>ἐσ</unclear>τιν πηχῶν <num value="100"><hi rend="supraline">ρ</hi></num><g type="slanting-stroke"/><g type="slanting-stroke"/>. ὁ <choice><reg>εὐθυμετρικὸς</reg><orig>εὐθημετρικὸς</orig></choice> πῆχυς ἐστὶν
<lb n="5"/><supplied reason="lost">ὁ</supplied> κατὰ μῆκος μόνον μετρούμενος, ἐμβαδικὸς <unclear>δ</unclear><supplied reason="lost">ὲ</supplied>
<lb n="6"/><supplied reason="lost">ὁ</supplied> κα<unclear>τὰ</unclear> μῆκο<supplied reason="omitted">ς</supplied> καὶ πλάτος καὶ βάθος <choice><reg>ἤτοι</reg><orig>ἤδε</orig></choice> ὕψο<unclear>ς</unclear> ἢ πάχ<unclear>ος</unclear>.
<lb n="7"/><unclear>κα</unclear><supplied reason="lost">ὶ</supplied> <unclear>ὁ</unclear> <subst><add place="inline">οἰκοπεδικὸς</add><del rend="corrected">οἰκοπερικὸς</del></subst> <choice><reg>πῆχυς</reg><orig>πῆχεις</orig></choice> ἔχει <choice><reg>ἐμβαδοὺς</reg><orig>ἐνβ<unclear>ατ</unclear>οὺς</orig></choice> πήχεις
<lb n="8"/><num value="100"><hi rend="supraline">ρ</hi></num>. <unclear>τ</unclear>ὸ ξύλον ἐν ᾧ <choice><reg>μετρεῖται</reg><orig>μετρεῖτε</orig></choice> τὰ ναύβια. τὸ μὲν βασι
<lb n="9" break="no"/><unclear>λ</unclear><supplied reason="lost">ι</supplied><unclear>κό</unclear>ν ἐστιν πηχῶν <num value="3"><hi rend="supraline">γ</hi></num>, <choice><reg>παλαιστῶν</reg><orig>παλεστῶν</orig></choice> <choice><reg>δὲ</reg><orig>τὲ</orig></choice> <num value="18"><hi rend="supraline">ιη</hi></num>, <choice><reg>δακτύλων</reg><orig>δ<supplied reason="lost">α</supplied>κδύλων</orig></choice>
<lb n="10"/><num value="72"><hi rend="supraline">οβ</hi></num>, <unclear>τ</unclear><supplied reason="lost">ὸ</supplied> <unclear>δὲ</unclear> <choice><reg>ἰδιωτικόν</reg><orig>ἠδιωτικόν</orig></choice> ἐστιν πηχῶν <num value="2"><hi rend="supraline">β</hi></num> <num value="2/3">𐅷</num>, <choice><reg>παλαισ<lb n="11" break="no"/>τῶν</reg><orig>πάλεσ
<lb n="11" break="no"/>τῶ<unclear>ν</unclear></orig></choice> <unclear>δ</unclear>ὲ <num value="16"><hi rend="supraline">ις</hi></num>, δακτύλων <choice><reg>δὲ</reg><orig>τὲ</orig></choice> <num value="64"><hi rend="supraline">ξδ</hi></num>, ὥστε εἶναι τὸ σχοιν<supplied reason="omitted">ί</supplied>ον
<lb n="12"/>τὸ γεωμετρικὸν ξύλα βασιλικὰ μὲν <num value="32"><hi rend="supraline">λβ</hi></num>, <choice><reg>ἰδιωτικὰ</reg><orig>ἠδιωτικὰ</orig></choice>
<lb n="13"/>δὲ <num value="36"><hi rend="supraline">λς</hi></num>. τὸ ναύβιον ἐκ τετραγώνου ἔχει ξύλον ἕν,
<lb n="14"/>βάθος <choice><reg>ξύλον</reg><orig>ξύλων</orig></choice> ἕν<g type="slanting-stroke"/><g type="slanting-stroke"/>. τὸ <choice><reg>ξύλον</reg><orig>ξύλων</orig></choice> ἔχει πήχεις <num value="3"><hi rend="supraline">γ</hi></num>, ὥστε εἶναι
<lb n="15"/><unclear>τὸ</unclear> <unclear>μ</unclear>ὲν <subst><add place="inline">δημόσιον</add><del rend="corrected">τυμόσιον</del></subst> ναύβιον στερεῶν πηχῶν <num value="27"><hi rend="supraline">κζ</hi></num>,
<lb n="16"/><unclear>τὸ</unclear> <unclear>δ</unclear>ὲ <choice><reg>ἰδιωτικόν</reg><orig>ἠδιωτ<unclear>ι</unclear>κ<supplied reason="lost">ό</supplied>ν</orig></choice> ἐστιν πηχῶν <num value="18"><hi rend="supraline">ιη</hi></num> <num value="1/2" rend="tick"><hi rend="supraline">𐅵</hi></num> <num value="1/3"><supplied reason="omitted"><hi rend="supraline">γ</hi></supplied></num> <num value="1/9"><hi rend="supraline">θ</hi></num> <num value="1/54"><hi rend="supraline">νδ</hi></num><g type="slanting-stroke"/><g type="slanting-stroke"/>. ὁ <choice><reg>πῆχυς</reg><orig>πῆχεις</orig></choice>
<lb n="17"/><unclear>στ</unclear>ερεὸς <choice><reg>χωρεῖ</reg><orig>χωρῖ</orig></choice> <choice><reg>ξηροῦ</reg><orig>ξυροῦ</orig></choice> ἀρτάβας <num value="3"><hi rend="supraline">γ</hi></num> <num value="1/4"><hi rend="supraline">δ</hi></num><num value="1/8"><hi rend="supraline">η</hi></num>, <choice><reg>ὑγροῦ</reg><orig>ἡγροῦ</orig></choice> δὲ μετρη
<lb n="18" break="no"/><unclear>τὰς</unclear> <num value="3"><hi rend="supraline">γ</hi></num>. ἡ ἄρουρά ἐστιν ἡ κατὰ πόλιν, ἡ δὲ ἐν <choice><reg>οἰκοπέδοις</reg><orig>ὀκοπέδοις</orig></choice>
<lb n="19"/><choice><reg>μετρουμένη</reg><orig>μετρουμένη<unclear>ν</unclear></orig></choice><g type="slanting-stroke"/> βίκων <num value="50"><hi rend="supraline">ν</hi></num>. ὁ <choice><reg>βῖκος</reg><orig>βῖκο<add place="above">υ</add>ς</orig></choice> ἔχει <choice><reg>ἐμβα<lb n="20" break="no"/>δοὺς</reg><orig>ἐνβα
<lb n="20" break="no"/>δ<unclear>οὺς</unclear></orig></choice> πήχεις <num value="200"><hi rend="supraline">σ</hi></num>, ὥστε εἶναι τὴν ἐν οἰκοπέδοις
<lb n="21"/><unclear>ἄ</unclear>ρουραν <choice><reg>ἐμβαδῶν</reg><orig>ἐνβαδῶν</orig></choice> πηχῶν <choice><reg>μυρίων</reg><orig>μυρύων</orig></choice>. ἡ δὲ κατ’ ἄ
<lb n="22" break="no"/>γρο<unclear>ν</unclear> <choice><reg>ἄρουρά</reg><orig>ἄρουράν</orig></choice> ἐστιν βίκ<unclear>ων</unclear> <num value="48"><hi rend="supraline">μη</hi></num>. ὁ <choice><reg>βῖκος</reg><orig>βῖκους</orig></choice> ἔχει <choice><reg>ἐμβα<lb n="208" break="no"/>δοὺς</reg><orig>ἐνβα
<lb n="23" break="no"/>δοὺς</orig></choice> <choice><reg>πήχει <num value="992">ϡ̅<hi rend="supraline">ο</hi>ͅ<hi rend="supraline">β</hi></num></reg><orig>πήχεις <num value="192"><hi rend="supraline">ρϙβ</hi></num></orig></choice>, ὥστε <unclear>ε</unclear>ἶναι <unclear>τ</unclear>ὴν κατ’ <choice><reg>ἄγρον</reg><orig>ἄκρ<unclear>ο</unclear>ν</orig></choice> ἄρουραν
<lb n="24"/><choice><reg>ἐμβαδῶν</reg><orig>ἐνβαδῶ<unclear>ν</unclear></orig></choice> <unclear>π</unclear>ηχῶν <num value="9216"><hi rend="supraline">Θσις</hi></num>. οὕτως ἔχει. <g rend="extension" type="filler"/>
<lb n="25"/><note xml:lang="en">decorative border</note>
</ab></div>
</div>
<div n="F" type="textpart">
<div n="r" type="textpart"><ab>
<lb n="1"/> <gap reason="lost" extent="unknown" unit="line"/>
<lb n="1"/><gap reason="lost" extent="unknown" unit="character"/> <gap reason="illegible" quantity="1" unit="character"/>α<unclear>ς</unclear> ἀρτά<unclear>β</unclear><gap reason="lost" quantity="2" unit="character"/><gap reason="illegible" quantity="1" unit="character"/><choice><reg>πυροῦ πολεῖται</reg><orig>ποιροῦ πολῖτε</orig></choice> <expan><ex>ταλάντων</ex></expan> <gap reason="illegible" quantity="1" unit="character"/><supplied reason="lost"><gap reason="illegible" quantity="12" unit="character" precision="low"/>-13</supplied>
<lb n="2"/><unclear>π</unclear>όσου. <choice><reg>ἀπόδειξις</reg><orig>ἀπόδιξεις</orig></choice>. <num value="8"><hi rend="supraline">η</hi></num> ἐπὶ τὸν <num value="15"><hi rend="supraline">ιε</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="120"><hi rend="supraline">ρκ</hi></num>. <choice><reg>δέκατον</reg><orig>τό<unclear>κ</unclear><supplied reason="lost">ατον</supplied></orig></choice> <supplied reason="lost"><num value="12"><hi rend="supraline">ιβ</hi></num></supplied>
<lb n="3"/><choice><reg>προστίθομεν</reg><orig>προστίθωμεν</orig></choice> <choice><reg>δέκατον</reg><orig><subst><add place="inline">τόκατον</add><del rend="corrected">δόκατον</del></subst></orig></choice>. <expan>γί<ex>νεται</ex></expan> <num value="132"><hi rend="supraline">ρλβ</hi></num>. πραθήσονται <gap reason="lost" extent="unknown" unit="character"/>
<lb n="4"/><expan><unclear>ἀ</unclear><ex>ρτάβας</ex></expan> καὶ <num value="8"><hi rend="supraline">η</hi></num> .<hi rend="supraline">1</hi> με <gap reason="illegible" quantity="1" unit="character"/>ο <expan>ἀ<ex cert="low">ρτάβας</ex></expan> <num value="132"><hi rend="supraline">ρλβ</hi></num>. οὕτως ἔχει.<g type="slanting-stroke"/><g type="slanting-stroke"/><g type="slanting-stroke"/><g type="slanting-stroke"/><g type="slanting-stroke"/><g type="slanting-stroke"/><g type="slanting-stroke"/><g type="slanting-stroke"/>
<lb n="5"/><note xml:lang="en">diagram</note> <expan>ἀ<ex>ρτάβαι</ex></expan> <g type="long-vertical-bar"/> <num value="15">ιε</num> <g type="long-vertical-bar"/> <num value="8">η</num> <num value="1/8">η</num> <g type="long-vertical-bar"/> <num value="132"><hi rend="supraline">ρλβ</hi></num>
<lb n="6"/><note xml:lang="en">decorative border</note>
<lb n="7"/><choice><reg>θησαυροὶ τρεῖς</reg><orig>θησαυρὸς τρῖς</orig></choice>, ὁ πρῶτος θησαυρὸς <choice><reg>εἶχεν</reg><orig>ἔχεν</orig></choice> <expan>ἀ<ex>ρτάβας</ex></expan> <supplied reason="lost"><num value="200"><hi rend="supraline">σ</hi></num>,</supplied>
<lb n="8"/>ὁ <choice><reg>δεύτερος</reg><orig><subst><add place="inline">τερτερος</add><del rend="corrected">τεύτερος</del></subst></orig></choice>· ὁ <choice><reg>δεύτερος</reg><orig>τεύτερος</orig></choice> θησαυρὸς <choice><reg>εἶχεν</reg><orig>ἔχεν</orig></choice> <expan>ἀ<ex>ρτάβας</ex></expan> <num value="300"><hi rend="supraline">τ</hi></num>,
<lb n="9"/>ὁ τρίτος θησα<add place="above">υ</add>ρὸς <choice><reg>εἶχεν</reg><orig>ἔχεν</orig></choice> <subst><add place="inline"><expan>ἀ<ex>ρτάβας</ex></expan></add><del rend="corrected"><expan>ο<ex>ρταβας</ex></expan><certainty match=".." locus="value"/></del></subst> <num value="400"><hi rend="supraline">υ</hi></num>. <choice><reg>εἰσῆλθέν</reg><orig>εἰσῆλθόν</orig></choice> τις
<lb n="10"/><surplus>τις</surplus> καὶ <choice><reg>μείξας</reg><orig>μίξας</orig></choice>. εὑρεῖν <expan>ἀ<ex>ρτάβας</ex></expan> <num value="630"><hi rend="supraline">χλ</hi></num>. οὕτω ποιοῦμεν. <num value="200"><hi rend="supraline">σ</hi></num> πό<supplied reason="lost">σα</supplied>
<lb n="11"/><choice><reg>ἑκατοστὰς</reg><orig>ἑκαστοστὰς</orig></choice> ἔχει; <num value="2"><hi rend="supraline">β</hi></num>. <choice><reg>τριακόσιοι</reg><orig>τριακὸς</orig></choice> πόσα <choice><reg>ἑκατὸν</reg><orig>ἕκαστος</orig></choice> ἔχ<unclear>ε</unclear><supplied reason="lost">ι; <num value="3"><hi rend="supraline">γ</hi></num>.</supplied>
<lb n="12"/><choice><reg><hi rend="supraline">υ</hi></reg><orig><hi rend="diaeresis">υ</hi></orig></choice> πόσα <choice><reg>ἑκατοστὰς</reg><orig>ἑκαστηστὰ<unclear>ς</unclear></orig></choice> ἔχει; <num value="4"><hi rend="supraline">δ</hi></num>. συντίθω <num value="4"><hi rend="supraline">β</hi></num> καὶ <num value="3"><hi rend="supraline">γ</hi></num> καὶ <supplied reason="lost"><num value="4"><hi rend="supraline">δ</hi></num>.</supplied>
<lb n="13"/><expan>γί<ex>νεται</ex></expan> <num value="9">θ</num> <del rend="erasure">υ</del> μερίζω <num value="630"><hi rend="supraline">χλ</hi></num> παρὰ τὸν <num value="9"><hi rend="supraline">θ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="70"><hi rend="supraline">ο</hi></num>. <num value="70"><hi rend="supraline">ο</hi></num> ἐπὶ τὸν <supplied reason="lost"><num value="2"><hi rend="supraline">β</hi></num>.</supplied>
<lb n="14"/><expan>γί<ex>νεται</ex></expan> <num value="140"><hi rend="supraline">ρμ</hi></num>. ὁμοίως καὶ <choice><reg>τοῦ</reg><orig>τῶ</orig></choice> <choice><reg>δευτέρου</reg><orig>τευτέρου</orig></choice>, <num value="70"><hi rend="supraline">ο</hi></num> ἐπὶ τὸν <num value="3"><hi rend="supraline">γ</hi></num>. <expan>γ<unclear>ί</unclear><ex>νεται</ex></expan> <num value="210"><supplied reason="lost"><hi rend="supraline">σι</hi>.</supplied></num>
<lb n="15"/>ὁμοίως καὶ τοῦ τρίτου, <num value="70"><hi rend="supraline">ο</hi></num> ἐπὶ τὸν <num value="4"><hi rend="supraline">δ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="280"><hi rend="supraline">σπ</hi></num>. σ<unclear>υ</unclear><supplied reason="lost">ντίθω</supplied>
<lb n="16"/><num value="140"><hi rend="supraline">ρμ</hi></num> καὶ <num value="210"><hi rend="supraline">σι</hi></num> καὶ <num value="280"><hi rend="supraline">σπ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="630"><hi rend="supraline">χλ</hi></num>. <choice><reg>οὕτως</reg><orig>οὕτος</orig></choice> ἔχει ὁμοί<unclear>ω</unclear><supplied reason="lost">ς.</supplied>
<lb n="17"/><surplus>κα</surplus>
<milestone rend="paragraphos" unit="undefined"/>
<lb n="18"/><note xml:lang="en">diagram</note> <num value="630">χλ</num> <g type="long-vertical-bar"/> <num value="140">ρμ</num> <g type="long-vertical-bar"/> <num value="210">σι</num> <g type="long-vertical-bar"/> <num value="280">σπ</num> <g type="long-vertical-bar"/> <num value="200">σ</num> <g type="long-vertical-bar"/> <num value="400">υ</num> <g type="long-vertical-bar"/> <num value="630">χλ</num> <g type="long-vertical-bar"/> οὔτως ἔχ<supplied reason="lost">ει</supplied>
<lb n="19"/><choice><reg>λοιπαὶ</reg><orig>λοιπὲ</orig></choice> <num value="9"><hi rend="supraline">θ</hi></num>, τὸ <choice><reg><num value="1/119" rend="tick">ριθ</num></reg><orig><num value="1/119"><hi rend="supraline">ριθ</hi></num></orig></choice> ἐν <num value="4"><hi rend="supraline">δ</hi></num> μόρια·
<lb n="20"/>μὴ πρόβα <num value="100"><hi rend="supraline">ρ</hi></num>. ἔσται τὰ μόρια
<lb n="21"/><choice><reg><num value="1/34" rend="tick">λδ</num></reg><orig><num value="1/34">λδ</num></orig></choice>, <choice><reg><num value="1/51" rend="tick">να</num></reg><orig><num value="1/51">να</num></orig></choice>, <choice><reg><num value="1/68" rend="tick">ξη</num></reg><orig><num value="1/68">ξη</num></orig></choice>, <choice><reg><num value="1/84" rend="tick">πδ</num></reg><orig><num value="1/85">πε</num></orig></choice>.<g type="slanting-stroke"/><g type="slanting-stroke"/><g type="slanting-stroke"/><g type="slanting-stroke"/><g type="slanting-stroke"/>
<lb n="22"/>λοιπαὶ <num value="36"><hi rend="supraline">λς</hi></num> <surplus><num value="32">λβ</num></surplus>, τὸ <choice><reg><num value="1/228" rend="tick">σκη</num></reg><orig><num value="1/228"><hi rend="supraline">σκη</hi></num></orig></choice> ἐν πέντε μόρια·
<lb n="23"/><choice><reg>μὴ</reg><orig>μοὶ</orig></choice> πρόβα <num value="100"><hi rend="supraline">ρ</hi></num>. ἔ<unclear>σ</unclear>ται τὰ μόρια <choice><reg><num value="1/12" rend="tick">ιβ</num></reg><orig><num value="1/12">ιβ</num></orig></choice>, <choice><reg><num value="1/30" rend="tick">λ</num></reg><orig><num value="1/30">λ</num></orig></choice>, <choice><reg><num value="1/57" rend="tick">νζ</num></reg><orig><num value="1/57">νζ</num></orig></choice>, <choice><reg><num value="1/76" rend="tick">οϛ</num></reg><orig><num value="1/76">οϛ</num></orig></choice>, <choice><reg><num value="1/95" rend="tick">ϙε</num></reg><orig><num value="1/95"><subst><add place="inline">ϙ<add place="above">ε</add></add><del rend="corrected">ϙϛ</del></subst></num></orig></choice>
<lb n="24"/><note xml:lang="en">decorative border</note>
</ab></div>
<div n="v" type="textpart"><ab>
<lb n="1"/> <gap reason="lost" extent="unknown" unit="line"/>
<lb n="1"/><gap reason="lost" quantity="5" unit="character" precision="low"/> <supplied reason="lost">νότου β</supplied><unclear>ή</unclear>ματα <num value="8">η</num>, β<unclear>ορ</unclear>ρᾶ βήμ<unclear>ατ</unclear><supplied reason="lost">α</supplied> <num value="6">ς</num>, ἀπηλιώτ<unclear>ο</unclear><supplied reason="lost">υ</supplied>
<lb n="2" xml:id="div16-div17-lb3"/><supplied reason="lost"><gap reason="illegible" quantity="4" unit="character" precision="low"/>-5 </supplied><gap reason="illegible" quantity="2" unit="character"/><unclear>σ</unclear>ι<unclear>δ</unclear>ι<unclear>α</unclear> π<supplied reason="omitted">ή</supplied>χεις <num value="15"><hi rend="supraline">ιε</hi></num> λ<unclear>ι</unclear>βὸς <num value="13"><hi rend="supraline">ιγ</hi></num>. εὑρεῖν τὰς ἀρούρ<unclear>α</unclear><supplied reason="lost">ς.</supplied>
<lb n="3"/><supplied reason="lost">οὕ</supplied><unclear>τω</unclear> <unclear>π</unclear>οιοῦμεν. σ<unclear>υ</unclear>ντίθω τὸ <choice><reg>νότον</reg><orig><unclear>ν</unclear>ώτον</orig></choice> καὶ τὸν <choice><reg>βορρᾶν</reg><orig>βορέα</orig></choice>,
<lb n="4"/><supplied reason="lost"><hi rend="supraline">η</hi></supplied> <unclear>κ</unclear>αὶ <num value="6"><hi rend="supraline">ϛ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="14"><hi rend="supraline">ιδ</hi></num>. ὧν <num value="1/2">ἥμισυ</num> <num value="7"><hi rend="supraline">ζ</hi></num>. ἐπὶ τὸν <num value="2"><hi rend="supraline">β</hi></num>. διὰ τί ἐπὶ τὸν <num value="2"><hi rend="supraline">β</hi></num>; <supplied reason="lost">ὅτι</supplied>
<lb n="5"/>τὸ βῆμα ἔχει πήχεις <num value="2"><hi rend="supraline">β</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="14"><hi rend="supraline">ιδ</hi></num> πήχεις. καὶ συντίθ<unclear>ω</unclear>
<lb n="6"/><supplied reason="lost">τ</supplied><unclear>ὸ</unclear>ν <choice><reg>ἀπηλιώτην</reg><orig>ἀπ<unclear>η</unclear>λιώτον</orig></choice> καὶ τὸν λιβάν, <num value="15"><hi rend="supraline">ιε</hi></num> καὶ <num value="13"><hi rend="supraline">ιγ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="28"><hi rend="supraline">κη</hi></num>. ὧν
<lb n="7"/><num value="1/2"><supplied reason="lost">ἥ</supplied>μισυ</num> <num value="14"> <hi rend="supraline"><unclear>ι</unclear>δ</hi></num>. ἐπὶ <choice><reg>τοὺς</reg><orig>τοῦ</orig></choice> πήχεις. <expan>γί<ex>νεται</ex></expan> <num value="84"><hi rend="supraline">πδ</hi></num>. <num value="84"><hi rend="supraline">πδ</hi></num> ἐπὶ τὸν <num value="14"> <hi rend="supraline">ιδ</hi></num>.
<lb n="8"/><expan><unclear>γ</unclear>ί<ex>νεται</ex></expan> <num value="1176"><supplied reason="lost"><hi rend="supraline">A</hi></supplied><hi rend="supraline"><unclear>ρ</unclear></hi><supplied reason="lost"><hi rend="supraline">ο</hi></supplied><hi rend="supraline"><unclear>ς</unclear></hi></num>. λοιπαὶ <num value="1176"><hi rend="supraline">Αρος</hi></num>. <supplied reason="omitted">παρὰ</supplied> τὸ <num value="9216"><hi rend="supraline">Θσις</hi></num>. <expan>γί<ex>νεται</ex></expan> <figure><figDesc>symbol</figDesc></figure> <choice><reg><num value="1/8" rend="tick">η</num> <num value="384" rend="tick">τπδ</num></reg><orig><num value="384"><hi rend="supraline">τπδ</hi></num></orig></choice>.
<lb n="9"/><supplied reason="lost">ἔσ</supplied><unclear>τ</unclear>αι ἄρο<unclear>υ</unclear>ραι <figure><figDesc>symbol</figDesc></figure> <num value="384"><hi rend="supraline">τπδ</hi></num>. οὕτως ἔχει<g type="slanting-stroke"/><g type="slanting-stroke"/> ὁμοίως.
<lb n="10"/><note xml:lang="en">decorative border</note>
<lb n="11"/><unclear>ὀ</unclear>ρθογώνιον, <choice><reg>ὑποτείνουσα</reg><orig>ὑποτίνουσα</orig></choice> <num value="17"> <hi rend="supraline">ιζ</hi></num>. εὑρεῖν τὰς ἄλλας
<lb n="12"/><supplied reason="lost">π</supplied><unclear>λ</unclear>ευράς. οὕτω ποιοῦμεν. τὰ <num value="17"> <hi rend="supraline">ιζ</hi></num> τῆς <choice><reg>ὑποτεινούσης</reg><orig>ὑποτινούσα</orig></choice><g type="slanting-stroke"/>
<lb n="13"/><supplied reason="lost">ἐ</supplied><unclear>φ</unclear>’ ἑ<unclear>α</unclear>υ<unclear>τά</unclear>. <expan>γί<ex>νεται</ex></expan> <num value="289"> <hi rend="supraline">σπθ</hi></num>. εἰς δύο πλευρὰς ἔσται. <hi rend="supraline">η</hi> ἐφ’ ἑαυτά.
<lb n="14"/><expan><unclear>γί</unclear><ex>νεται</ex></expan> <num value="64"> <hi rend="supraline">ξδ</hi></num>. ἀπὸ τῶν <hi rend="supraline">σπθ</hi> <choice><reg>ὑφέλομεν</reg><orig>οἱφέλομεν</orig></choice> <num value="64"> <hi rend="supraline">ξδ</hi></num>. λοι<supplied reason="omitted">πὰ</supplied> <num value="225">σκε</num>. ὧν
<lb n="15"/><supplied reason="lost">πλ</supplied><unclear>ευρ</unclear>ὰ <num value="15"> <hi rend="supraline">ιε</hi></num>. ἄρα ἦν ὀρθὴ <num value="8"><hi rend="supraline">η</hi></num>, βάσις <num value="15"> <hi rend="supraline">ιε</hi></num>, <choice><reg>ὑποτείνουσα</reg><orig>ὑποτίνουσα</orig></choice>
<lb n="16"/><supplied reason="lost"><num value="17"> <hi rend="supraline">ιζ</hi></num>.</supplied> οὕτως ἔχει ὄμοίως.
<milestone rend="paragraphos" unit="undefined"/>
<lb n="17"/><note xml:lang="en">diagram</note> <num value="40"> μ</num> <g type="long-vertical-bar"/> ὀρθὴ <num value="8"> η</num> <g type="long-vertical-bar"/> βάσις <g type="long-vertical-bar"/> <num value="15">ιε</num> <g type="long-vertical-bar"/> <choice><reg>ὑποτείνουσα</reg><orig>ὑποτίνουσα</orig></choice> <num value="17"> <hi rend="supraline">ιζ</hi></num>
<lb n="18"/><choice><reg>χωρίον</reg><orig><supplied reason="lost">χ</supplied><unclear>ω</unclear>ρίων</orig></choice> ἀμπέλιον, νότος ἐπὶ βορρᾶ πήχ
<lb n="19" break="no"/><supplied reason="lost">εις</supplied> <num value="30"><hi rend="supraline"><unclear>λ</unclear></hi></num>, ἀπὸ δὲ λιβὸς εἰς <choice><reg>ἀπηλιώτην</reg><orig>ἀπηλιώτου</orig></choice> πήχεις <num value="20"><hi rend="supraline">κ</hi></num>.
<lb n="20"/><unclear>εὑρ</unclear>εῖν πόσους ἀμπέλους <choice><reg>χωρήσει</reg><orig>χωρήσε</orig></choice>. <num value="30"><hi rend="supraline"><unclear>λ</unclear></hi></num> <supplied reason="omitted">ἐ</supplied>πὶ τὸν <num value="20"><hi rend="supraline">κ</hi></num>.
<lb n="21"/><supplied reason="lost"><expan>γί<ex>νεται</ex></expan></supplied> <num value="600"><unclear>χ</unclear></num><g type="slanting-stroke"/><g type="slanting-stroke"/>. <choice><reg>τούτων</reg><orig>τούτον</orig></choice> τὸ τέταρτον. <expan>γί<ex>νεται</ex></expan> <num value="150"><hi rend="supraline">ρν</hi></num><g type="slanting-stroke"/>. ἄρα ὁ <choice><reg>χωρίον</reg><orig>χωρίω<unclear>ν</unclear></orig></choice>
<lb n="22"/><choice><reg>ἀμπέλους</reg><orig><unclear>ἀμπέ</unclear>λων</orig></choice> <num value="150"><hi rend="supraline">ρν</hi></num>. οὕτως ἔχει ὁμοίως<g type="slanting-stroke"/><g type="slanting-stroke"/><g type="slanting-stroke"/><g type="slanting-stroke"/>.
<milestone rend="paragraphos" unit="undefined"/>
<lb n="23"/><note xml:lang="en">decorative border</note>
</ab></div>
</div>
<div n="G" type="textpart">
<div n="r" type="textpart"><ab>
<lb n="1"/><choice><reg>μέτρων</reg><orig><unclear>μέτ</unclear>ρον</orig></choice> <unclear>εἴ</unclear><supplied reason="lost">δη</supplied> <unclear>ἐ</unclear>στὶν τάδε·<g type="slanting-stroke"/> δάκτυ<unclear>λ</unclear><supplied reason="lost">ος,<g type="slanting-stroke"/> παλαιστής,<g type="slanting-stroke"/></supplied>
<lb n="2"/>λιχάς,<g type="slanting-stroke"/> <choice><reg>σπιθαμή</reg><orig>ψιθαμή</orig></choice>,<g type="slanting-stroke"/> πούς,<g type="slanting-stroke"/> <choice><reg>πυγών</reg><orig>πηγών</orig></choice>,<g type="slanting-stroke"/> π<unclear>ῆχ</unclear><supplied reason="lost">υς,<g type="slanting-stroke"/> βῆμα,<g type="slanting-stroke"/></supplied>
<lb n="3"/>ξύλον,<g type="slanting-stroke"/> <choice><reg>ὄργυια</reg><orig><subst><add place="inline">ὄργηεια</add><del rend="corrected">ὄρθηεια</del></subst></orig></choice>,<g type="slanting-stroke"/> κάλαμος,<g type="slanting-stroke"/> <choice><reg>ἄκαινα</reg><orig>ἄκενα</orig></choice>,<g type="slanting-stroke"/> <unclear>ἅ</unclear>μμ<supplied reason="lost">α,<g type="slanting-stroke"/> πλέθρον,<g type="slanting-stroke"/></supplied>
<lb n="4"/>σχοινίον,<g type="slanting-stroke"/> στάδιον,<g type="slanting-stroke"/> δίαυλον,<g type="slanting-stroke"/> δόλιχος,<g type="slanting-stroke"/> <num value="3">γ</num> <gap reason="lost" extent="unknown" unit="character"/>
<lb n="5"/><choice><reg>μίλιον</reg><orig>μείλιον</orig></choice>,<g type="slanting-stroke"/> <choice><reg>παρασάγγης</reg><orig>παρασάγης</orig></choice>,<g type="slanting-stroke"/> σχοῖνος,<g type="slanting-stroke"/> <supplied reason="omitted">ἣ</supplied> δωδεκατ<supplied reason="lost">ικόν</supplied>
<lb n="6"/><choice><reg>καλεῖται</reg><orig>καλῖται</orig></choice>. ἐστὶν <choice><reg>λαύρα</reg><orig>λα<add place="above">ο</add>ύρα</orig></choice>,<g type="slanting-stroke"/> <choice><reg>ἄμφοδον</reg><orig>ἄμφοδος</orig></choice>,<g type="slanting-stroke"/> <choice><reg>ὄργυια</reg><orig>ὄργοι<unclear>ει</unclear>α</orig></choice><g type="slanting-stroke"/> <gap reason="lost" atLeast="5" atMost="7" unit="character"/> <supplied reason="lost">τῶ</supplied>
<lb n="7" break="no"/>νδε τῶν <choice><reg>μέτρων</reg><orig>μέτρον</orig></choice> δάκτυλος<g type="slanting-stroke"/> ὁ προάγων<g type="slanting-stroke"/> <unclear>κ</unclear><supplied reason="lost">αὶ ἐλά</supplied>
<lb n="8" break="no"/>χιστος,<g type="slanting-stroke"/> καθάπερ καὶ ἡ <choice><reg>μονάς</reg><orig>μωνάς</orig></choice><g type="slanting-stroke"/>, ἥτις οὐκ <gap reason="lost" extent="unknown" unit="character"/>
<lb n="9"/>ἄλλως.<g type="slanting-stroke"/> <choice><reg>συγκεῖται</reg><orig>σύνκιτε</orig></choice> ἡ τῶν <hi rend="diaeresis">ἰ</hi>δίων μέτ<unclear>ρων</unclear> <gap reason="lost" extent="unknown" unit="character"/> <supplied reason="lost">μέ</supplied>
<lb n="10" break="no"/>τρων παληστής.<g type="slanting-stroke"/> οἱ <num value="2"><hi rend="supraline">β</hi></num> <choice><reg>παλαιστής</reg><orig>παλισταὶ</orig></choice> λιχάς·<g type="slanting-stroke"/> οἱ <supplied reason="lost"><num value="3"><hi rend="supraline">γ</hi></num> παλαισ</supplied>
<lb n="11" break="no"/>ταὶ <choice><reg>σπιθαμή</reg><orig>ψιθαμή</orig></choice>·<g type="slanting-stroke"/> <choice><reg>οἱ</reg><orig>ὁ</orig></choice> <num value="4"><hi rend="supraline">δ</hi></num> <choice><reg>παλαισταὶ</reg><orig>παλησταὶ</orig></choice> ποὺς πτολεμαικ<supplied reason="lost">ός·</supplied>
<lb n="12"/>οὗτός ἐστιν ὁ <choice><reg>Αἰγύπτιος</reg><orig>Ἐκύπτιος</orig></choice>.<g type="slanting-stroke"/> ὁ γὰρ <choice><reg>Ἰταλικὸς</reg><orig><hi rend="diaeresis">Ἰ</hi>δαλικὸς</orig></choice> πο<unclear>ὺ</unclear><supplied reason="lost">ς</supplied>
<lb n="13"/>δακτύλων ἐστὶν <num value="13"><hi rend="supraline">ιγ</hi></num> <num value="1/3" rend="tick"><hi rend="supraline">γ</hi></num><g type="slanting-stroke"/><g type="slanting-stroke"/>· ὁ δὲ <choice><reg>τεκτονικὸς</reg><orig><supplied reason="omitted">τεκτο</supplied>νεικὸς</orig></choice> ποὺς<g type="slanting-stroke"/> <unclear>δ</unclear><supplied reason="lost">ακτύλω</supplied>
<lb n="14" break="no"/>ν ἐστὶν <num value="13"><hi rend="supraline">ιγ</hi></num> <num value="2/3"><unclear>𐅷</unclear></num>· <choice><reg>διαιροῦνται</reg><orig>διεροῦντε</orig></choice> δὲ καὶ αὐτοὶ <choice><reg>εἰς</reg><orig><hi rend="diaeresis">ἰ</hi>ς</orig></choice> δισι<gap reason="lost" extent="unknown" unit="character"/>
<lb n="15"/>της <num value="4"><hi rend="supraline">δ</hi></num>· οἱ πέντε <choice><reg>παλαισταί</reg><orig>παλεσταὶς</orig></choice><g type="slanting-stroke"/> <choice><reg>πῆχυς</reg><orig>πῆχεις</orig></choice><g type="slanting-stroke"/> λ<unclear>ιν</unclear><supplied reason="lost">οϋφικός·</supplied>
<lb n="16"/><choice><reg>καλεῖται</reg><orig>καλῖτη</orig></choice> δὲ<g type="slanting-stroke"/> καὶ <choice><reg>πυγών</reg><orig>ποιγών</orig></choice>·<g type="slanting-stroke"/> οἱ <num value="6"><hi rend="supraline">ϛ</hi></num> <choice><reg>παλαισταὶ</reg><orig>παλησταί</orig></choice> πῆχει<supplied reason="lost">ς τεκτονι</supplied>
<lb n="17" break="no"/>κός·<g type="slanting-stroke"/> ὁ δὲ αὐτὸς<g type="slanting-stroke"/> καὶ δημόσιος κα<unclear>λ</unclear><supplied reason="lost">εῖται·</supplied>
<lb n="18" break="no"/>οἱ <num value="7"><hi rend="supraline">ζ</hi></num> <unclear>πα</unclear>λησταὶ <choice><reg>πῆχυς</reg><orig>πῆχεις</orig></choice> νιλομετρικός· <supplied reason="lost">οἱ <num value="8"><hi rend="supraline">η</hi></num> παλαισ</supplied>
<lb n="19" break="no"/>ται <choice><reg>πῆχυς</reg><orig>πῆχεις</orig></choice> <choice><reg>ἱστονικός</reg><orig>εἱστονικός</orig></choice>·<g type="slanting-stroke"/> ο<add place="above">ἱ</add> <num value="9"><hi rend="supraline">θ</hi></num> <choice><reg>παλαισταὶ</reg><orig>παλ<unclear>ησ</unclear><supplied reason="lost">ταὶ</supplied></orig></choice> <gap reason="lost" extent="unknown" unit="character"/>
<lb n="20"/>τος ἐστὶν ἡ διάστασις τῶν σκελῶν. <gap reason="lost" extent="unknown" unit="character"/>
<lb n="21"/><note xml:lang="en">decorative border</note>
<lb n="22"/>ναύβιον <choice><reg>στρογγύλον</reg><orig>στρονκύλουν</orig></choice> <app type="editorial"><lem resp="J. Lougovaya, Pylon 4 (2023) §9"><choice><reg><app type="alternative"><lem>μύουρον</lem><rdg>μείουρον</rdg></app></reg><orig>μίο<unclear>υρ</unclear>ων</orig></choice> <gap reason="lost" extent="unknown" unit="character"/></lem><rdg>μισ<gap reason="illegible" quantity="1" unit="character"/>ων<gap reason="lost" extent="unknown" unit="character"/></rdg></app> <supplied reason="lost">περιφέρεια</supplied>
<lb n="23"/>πηχῶν <num value="20"><hi rend="supraline">κ</hi></num>, βάθος πηχῶν <num value="1"><hi rend="supraline">α</hi></num> <num value="1/2"><hi rend="supraline">𐅵</hi></num> <num value="1/4" rend="tick"><hi rend="supraline">δ</hi></num>. εὑρ<supplied reason="lost">εῖν πόσα</supplied> <gap reason="lost" extent="unknown" unit="character"/>
<lb n="24"/><choice><reg>χωρήσει</reg><orig>χωρήσι</orig></choice>. οὕτω ποιοῦμεν. λαμβάνω τ<unclear>ὸ</unclear> ἥ<unclear>μ</unclear><supplied reason="lost">ισυ τῆς</supplied> <choice><reg><supplied reason="lost">περιφερ</supplied><lb n="25" break="no"/>είας</reg><orig><supplied reason="lost">περιφερ</supplied>
<lb n="25" break="no"/>ίας</orig></choice>. <expan>γί<ex>νεται</ex></expan> <num value="10"><hi rend="diaeresis">ι</hi></num>. <num value="10"><hi rend="supraline">ι</hi></num><supplied reason="lost"><supplied reason="lost"><hi rend="supraline">ε</hi></supplied></supplied> ἐφ’ ἑαυτά. <expan>γί<ex>νεται</ex></expan> <num value="100"><hi rend="supraline">ρ</hi></num>. τούτων <unclear>τ</unclear><supplied reason="lost">ὸ <num value="1/12">ιβ</num><g type="slanting-stroke"/>. <expan>γί<ex>νεται</ex></expan></supplied>
<lb n="26"/><num value="8"><hi rend="supraline">η</hi></num> <num value="1/3"><hi rend="supraline"><unclear>γ</unclear></hi></num><g type="slanting-stroke"/><g type="slanting-stroke"/>. ἐπὶ τὸ βά<supplied reason="omitted">θ</supplied>ος, πηχῶν <num value="1"><hi rend="supraline">α</hi></num> <num value="1/2"><hi rend="supraline">𐅵</hi></num> <num value="1/4"><hi rend="supraline">δ</hi></num>. <expan>γί<ex>νεται</ex></expan> <supplied reason="lost"><num value="14"><hi rend="supraline">ιδ</hi></num> <num value="1/2" rend="tick">𐅵</num> <num value="12" rend="tick">ιβ</num>. οὕ</supplied>
<lb n="27" break="no"/><unclear>τως</unclear> <unclear>ἔχ</unclear>ει ὁμ<unclear>ο</unclear>ίω<unclear>ς</unclear>. <g rend="extension" type="filler"/>
<lb n="28"/><note xml:lang="en">diagram</note> <num value="1/14">ιδ</num> επ <num atLeast="11" atMost="19"><hi rend="supraline">ι</hi><hi rend="supraline"><gap reason="illegible" quantity="1" unit="character"/></hi></num> <g type="long-vertical-bar"/> <num value="1"><unclear>α</unclear></num> <num value="1/2">𐅵</num> <num value="1/4"><unclear>δ</unclear></num> <g type="long-vertical-bar"/> traces
<lb n="29"/><note xml:lang="en">diagram</note>
</ab></div>
<div n="v" type="textpart"><ab>
<lb n="1"/><gap reason="lost" extent="unknown" unit="line"/>
<lb n="1"/><gap reason="lost" quantity="12" unit="character"/> <gap reason="illegible" quantity="4" unit="character"/>μ<gap reason="illegible" quantity="2" unit="character"/><unclear>ο</unclear> <gap reason="illegible" quantity="1" unit="character"/><gap reason="lost" quantity="1" unit="character"/><gap reason="illegible" quantity="1" unit="character"/> <unclear>ἰ</unclear><supplied reason="lost">σο</supplied>σκελὴς ειοσυ <gap reason="illegible" quantity="1" unit="character"/><gap reason="lost" extent="unknown" unit="character"/>
<lb n="2"/><supplied reason="lost">ἰσοσκελὴς</supplied> <unclear>ἀ</unclear>νὰ σχοινία <num value="20"><hi rend="supraline">κ</hi></num>, <choice><reg>κοινὴ</reg><orig>κυν<unclear>ὴ</unclear></orig></choice> <supplied reason="lost">β</supplied>άσ<unclear>ις</unclear> <num value="32"><hi rend="supraline"><unclear>λ</unclear>β</hi></num>. εὑρεῖν τὰς ἄλλα<supplied reason="lost">ς</supplied>
<lb n="3"/><supplied reason="lost">πλευρ</supplied><unclear>ά</unclear>ς. οὕτω ποιοῦμεν· λαμβάνομαι τὸ ἥμισυ τῆς
<lb n="4"/><supplied reason="lost">κοινῆ</supplied><unclear>ς</unclear> βάσεως, <num value="16"><hi rend="supraline">ις</hi></num>. <unclear>ἐ</unclear>φ’ ἑαυτά. <expan>γί<ex>νεται</ex></expan> <num value="256"><hi rend="supraline">σνς</hi></num>. καὶ τὰ <num value="20"><hi rend="supraline">κ</hi></num> ἐφ’ ἑαυτά. <expan>γί<ex>νεται</ex></expan> <hi rend="supraline">υ</hi>.
<lb n="5"/><supplied reason="lost">ἀπὸ τῶ</supplied>ν <num value="400"><hi rend="diaeresis">υ</hi></num> <choice><reg>ὑφέλομεν</reg><orig>ἡφέλομεν</orig></choice> <num value="256"><hi rend="supraline">σνς</hi></num>. <choice><reg>λοιπαὶ</reg><orig>λοπαὶ</orig></choice> <num value="144"><hi rend="supraline">ρμδ</hi></num>. ὧν πλευρὰ <num value="12"><hi rend="supraline">ιβ</hi></num>.
<lb n="6"/><supplied reason="lost">ἄρα ἦν</supplied> ἡ ἑκάστη ὀ<unclear>ρθ</unclear>ὴ <num value="12"><hi rend="supraline">ιβ</hi></num>. εὑρεῖν τὸ <choice><reg>ἐμβαδόν</reg><orig>ἐνβαδόν</orig></choice>. τὴν βάσιν
<lb n="7"/><supplied reason="lost">ἐπὶ τὴν</supplied> <unclear>ὀ</unclear>ρθήν, <num value="12"><hi rend="supraline">ιβ</hi></num> ἐπὶ τὸν <num value="16"><hi rend="supraline">ις</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="192"><hi rend="supraline">ρ<unclear>ο</unclear>β</hi></num>. ὧν ἥμισυ <num value="96"><hi rend="supraline"><unclear>ο</unclear>ς</hi></num>.
<lb n="8"/><supplied reason="lost">ἄρα ἦν τ</supplied>ὸ <choice><reg>ἐμβαδὸν</reg><orig>ἐνβαδὸν</orig></choice> <unclear>ἀ</unclear>ρουρῶν <num value="96"><hi rend="supraline"><unclear>ο</unclear>ς</hi></num>. οὕτως ἔχει ὁμοίως.<g type="slanting-stroke"/><g type="slanting-stroke"/>
<lb n="9"/><note xml:lang="en">diagram</note> <supplied reason="lost">ἄρα ἦ</supplied>ν ἑκάστη <expan>ὀρ<ex>θὴ</ex></expan><g type="slanting-stroke"/> <g type="long-vertical-bar"/> <num value="12"><hi rend="supraline">ιβ</hi></num> <g type="long-vertical-bar"/> <num value="192">ρϙβ</num> <g type="long-vertical-bar"/> <num value="16"><hi rend="supraline">ις</hi></num> <g type="long-vertical-bar"/> <num value="96"><hi rend="supraline"><unclear>ο</unclear>ς</hi></num> <g type="long-vertical-bar"/> <choice><reg>κοινὴ</reg><orig>κοινοὶ</orig></choice> βάσις <num value="32">λβ</num> <g type="long-vertical-bar"/> <num value="16">ιϛ</num>
<lb n="10"/><supplied reason="lost"><gap reason="illegible" quantity="5" unit="character"/> </supplied>ν <choice><reg>στρογγύλον</reg><orig>στρονκύλουν</orig></choice> ἴσον, μῆκος πηχῶν <num value="30"><hi rend="supraline">λ</hi></num>,
<lb n="11"/><supplied reason="lost">πλάτος δ</supplied>ακτύλων <num value="8"><hi rend="supraline">η</hi></num>, πάχος δακτύλων <num value="4"><hi rend="supraline">δ</hi></num>. εὑρεῖν
<lb n="12"/><supplied reason="lost">τὸ στ</supplied>ερεόν. οὕτω ποιοῦμεν. τὸ πλάτος ἐπὶ τὸ
<lb n="13"/><supplied reason="lost">μῆκος, τὸ</supplied> <num value="8"><hi rend="supraline"><unclear>η</unclear></hi></num> <unclear>ἐπ</unclear>ὶ τ<unclear>ὸ</unclear> <num value="30"><hi rend="supraline">λ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="240"><hi rend="supraline">σμ</hi></num>. ταῦτα ἐπὶ τὸ πάχος,
<lb n="14"/><supplied reason="lost">τὸ <num value="240"><hi rend="supraline">σμ</hi></num> ἐπὶ τὸ <num value="4"><hi rend="supraline">δ</hi></num>.</supplied> <expan>γί<ex>νεται</ex></expan> <num value="960"><hi rend="supraline">ϡξ</hi></num>. ταῦτα μερίζομαι παρὰ τὸν
<lb n="15"/><supplied reason="lost"><num value="288"><hi rend="supraline">σπη</hi></num>, καὶ τὰ λοιπ</supplied><unclear>ὰ</unclear> <unclear>ε</unclear>ἰς δακτύλους <surplus><num value="12"><hi rend="supraline">ιβ</hi></num></surplus>. <expan>γί<ex>νεται</ex></expan> <num value="3"><hi rend="supraline">γ</hi></num> καὶ δακ
<lb n="16" break="no"/><supplied reason="lost">τύλους <num value="8"><hi rend="supraline">η</hi></num>. οὕτ</supplied>ως ἕχει ὁμοίως. <g rend="extension" type="filler"/>
<lb n="17"/><note xml:lang="en">diagram</note> <gap reason="illegible" quantity="1" unit="character"/> <g type="long-vertical-bar"/> <choice><reg>πῆχεις</reg><orig>πῆχος</orig></choice> <num value="3"><hi rend="supraline">γ</hi></num> <unclear>δακ</unclear> <g type="long-vertical-bar"/> <num value="8"><hi rend="supraline">η</hi></num>
<lb n="18"/><note xml:lang="en">decorative border</note>
</ab></div>
</div>
<div n="M" type="textpart">
<div n="r" type="textpart"><ab>
<lb n="1"/><gap reason="lost" extent="unknown" unit="line"/>
<lb n="1"/><gap reason="lost" quantity="14" unit="character"/> <choice><reg>σχοῖνος</reg><orig><unclear>σ</unclear>χ<unclear>οιν</unclear><supplied reason="lost">ι</supplied><unclear>α</unclear></orig></choice> <gap reason="illegible" quantity="4" unit="character"/><gap reason="lost" extent="unknown" unit="character"/>
<lb n="2"/><gap reason="lost" quantity="14" unit="character"/>ον<gap reason="lost" extent="unknown" unit="character"/>α<unclear>ν</unclear>εχονια <gap reason="illegible" quantity="1" unit="character"/><unclear>ρ</unclear><gap reason="lost" quantity="2" unit="character"/><gap reason="illegible" quantity="3" unit="character"/><gap reason="lost" extent="unknown" unit="character"/>
<lb n="3"/><gap reason="lost" quantity="4" unit="character"/> <unclear>ἡ</unclear> βαρβαρικὴ σχῦ<unclear>νο</unclear>ς <subst><add place="inline"><unclear>θ</unclear></add><del rend="corrected">γ<certainty match=".." locus="value"/></del></subst><gap reason="illegible" quantity="2" unit="character"/>εσ<unclear>τ</unclear>ινημουσου<gap reason="lost" extent="unknown" unit="character"/>
<lb n="4"/><supplied reason="lost">καλ</supplied>ουμένης σχοινία. τὰ <num value="240"><hi rend="supraline">σμ</hi></num> σχοινία σχ<supplied reason="lost">οῖνος, ἢ</supplied>
<lb n="5"/><supplied reason="lost">δω</supplied>δεκατικὸν <choice><reg>καλεῖται</reg><reg>καλοῦνται</reg><orig>κ<unclear>α</unclear>λ<unclear>ο</unclear>ῦντε</orig></choice>. ἐστὶν <unclear>λαύ</unclear>ρα ἡ <num value="10000">μυρ<supplied reason="lost">ιὰς</supplied></num>
<lb n="6"/><unclear>π</unclear>ηχῶν. <choice><reg>ἄμφοδον</reg><orig>ἄμφοτον</orig></choice> ἔχει τ<unclear>ὸ</unclear> μὲν <choice><reg>μῆκος</reg><orig>μοῖκος</orig></choice> π<supplied reason="lost">ηχῶν <num value="200"><hi rend="supraline">σ</hi></num>,</supplied>
<lb n="7"/>τὸ δὲ πλάτος πηχῶν <num value="100"><hi rend="supraline">ρ</hi></num>· <expan>γί<ex>νεται</ex></expan> <choice><reg>ἐμβαδῶν</reg><orig>ἐνβαδοὶ</orig></choice> πηχῶν <num value="20000"><supplied reason="lost">μυριάδες</supplied>
<lb n="8"/>δύο</num><g type="slanting-stroke"/><g type="slanting-stroke"/>. τὸ καλούμεν<supplied reason="omitted">ον</supplied> δωδεκατικόν ἐστιν ἀμ<unclear>φ</unclear><supplied reason="lost">όδων <num value="90">ϙ̅</num>,</supplied>
<lb n="9"/><choice><reg>λαυρῶν</reg><orig>λαοωρῶν</orig></choice> δὲ <num value="180"><hi rend="supraline">ρπ</hi></num>. <choice><reg>τὸ</reg><orig>τὰ</orig></choice> <choice><reg>ναύβιον</reg><orig>ναύβια</orig></choice> ἐκ πανταχόθεν <supplied reason="lost" cert="low">ἐστὶν</supplied>
<lb n="10"/><choice><reg>ξύλον</reg><orig><unclear>ξ</unclear>ύλων</orig></choice> <num value="1">ἕν</num>, βάθος <choice><reg>ξύλον</reg><orig><unclear>ξ</unclear>ύλων</orig></choice> <num value="1"><hi rend="supraline">ἕν</hi></num>. <unclear>τ</unclear>ὸ δὲ <choice><reg>ξύλον</reg><orig><subst><add place="inline">ξύλων</add><del rend="corrected">φύλων<certainty match=".." locus="value"/></del></subst></orig></choice> <subst><add place="inline">ἔχ<unclear>ε</unclear>ι</add><del rend="corrected">ἔκει</del></subst> πή<unclear>χ</unclear><supplied reason="lost">εις</supplied>
<lb n="11"/><num value="3">γ</num>, ὥστε εἶναι τὸ μὲν <choice><reg>δημόσιον</reg><orig>τ<unclear>υ</unclear>μόσιον</orig></choice> ναύβιον στερε<supplied reason="lost">ὰς</supplied>
<lb n="12"/><choice><reg>πήχεις</reg><orig>πήχης</orig></choice> <num value="27"><hi rend="supraline">κζ</hi></num>. ὁ στερεὸς <choice><reg>πῆχυς</reg><orig>πῆχεις</orig></choice> <choice><reg>χωρεῖ</reg><orig>χωρῖ</orig></choice> <choice><reg>ξηροῦ</reg><orig>ξυροῦ</orig></choice> <expan>ἀ<ex>ρτάβας</ex></expan> <num value="3"><hi rend="supraline">γ</hi></num> <num value="1/4">δ</num> <num value="1/8"><supplied reason="lost"><hi rend="supraline">η</hi></supplied></num>,
<lb n="13"/><choice><reg>ὑγροῦ</reg><orig>ἡκροῦ</orig></choice> <choice><reg>δὲ</reg><orig>ταὶ</orig></choice> μετρήτας <supplied reason="omitted"><num value="3"><hi rend="supraline">γ</hi></num></supplied>. ἡ ἄρ<unclear>ου</unclear>ρα ἐστὶν ἡ μὲν κατ’ <choice><reg>ἄγρον</reg><orig>ἄκρ<supplied reason="lost">ον</supplied></orig></choice>
<lb n="14"/>ἔχει βίκους <num value="48"><hi rend="supraline">μη</hi></num>, ἡ δὲ κατὰ πόλιν <num value="50"><hi rend="supraline">ν</hi></num>. ἔχει <supplied reason="omitted">ὁ</supplied> σχοῖν<supplied reason="lost">ο</supplied><unclear>ς</unclear> <supplied reason="lost">μίλια</supplied>
<lb n="15"/><num value="4"><hi rend="supraline">δ</hi></num>. <choice><reg>ὁ</reg><orig>τὸ</orig></choice> δὲ μίλιον ἔχει <choice><reg>γύας</reg><orig>γοίας</orig></choice> <num value="3"><hi rend="supraline">γ</hi></num>. <choice><reg>ὁ</reg><orig>τὸ</orig></choice> <choice><reg>δὲ</reg><orig>τ<unclear>ὲ</unclear></orig></choice> <choice><reg>γύης</reg><orig>γοίης</orig></choice> ἔχ<supplied reason="lost">ει στάδια</supplied>
<lb n="16"/><num value="5"><hi rend="supraline">ε</hi></num>. τὸ δὲ στάδιον ἔχει <choice><reg>σχοινίον</reg><orig>σχοινία</orig></choice> <subst><add place="inline">γεωμετρικὰ</add><del rend="corrected">γεωμετρυὰ</del></subst> <num value="4"><hi rend="supraline">δ</hi></num>. <unclear>τ</unclear><supplied reason="lost">ὸ δὲ σχο</supplied>
<lb n="17" break="no"/>ινίων τὸ γεωμετρικὸν <supplied reason="omitted">ἔχει</supplied> <choice><reg>πηχῶν</reg><orig>πωχῶν</orig></choice> <num value="96"><hi rend="supraline"><unclear>ος</unclear></hi></num>. ὥσ<unclear>τε</unclear> <supplied reason="lost">ἔχειν</supplied>
<lb n="18"/>τὴν σχοῖν<supplied reason="omitted">ον</supplied> <choice><reg>γύας</reg><orig><supplied reason="lost">γ</supplied>οία<unclear>ς</unclear></orig></choice> μὲν <num value="12"><hi rend="supraline">ιβ</hi></num>, <choice><reg>στάδια</reg><orig>στάδιον</orig></choice> <num value="60"><hi rend="supraline">ξ</hi></num>, σχοινία <unclear>γ</unclear><supplied reason="lost">εω</supplied>
<lb n="19" break="no"/>μετρικὰ <num value="240"><hi rend="supraline">σμ</hi></num>, πηχ<surplus>ηχ</surplus>ῶν <surplus>δ̅</surplus> <num value="23040"><expan><ex>μυριάδας</ex></expan> <hi rend="supraline">β</hi> <hi rend="supraline">Γμ</hi></num> <subst><add place="inline"><unclear>ξ</unclear><gap reason="lost" quantity="2" unit="character"/><gap reason="illegible" quantity="1" unit="character"/><unclear>ν</unclear>δε</add><del rend="corrected"><unclear>ξ</unclear><gap reason="lost" quantity="2" unit="character"/><gap reason="illegible" quantity="2" unit="character"/>δε</del></subst><gap reason="illegible" quantity="1" unit="character"/><gap reason="lost" extent="unknown" unit="character"/>
<lb n="20"/><note xml:lang="en">decorative border, palm fronds, and ankh</note>
</ab></div>
<div n="v" type="textpart"><ab>
<lb n="1"/><gap reason="lost" extent="unknown" unit="character"/><unclear>ς</unclear> <choice><reg>ὑπερέχει</reg><orig>ὑπερίχε<unclear>ι</unclear></orig></choice> <gap reason="lost" quantity="4" unit="character"/><gap reason="illegible" quantity="2" unit="character"/><gap reason="lost" quantity="3" unit="character"/><gap reason="illegible" quantity="2" unit="character"/><gap reason="lost" extent="unknown" unit="character"/>
<lb n="2"/><gap reason="lost" quantity="7" unit="character"/>ε<gap reason="illegible" quantity="1" unit="character"/> οὕτω ποιοῦμεν. τοὺς <choice><reg>κοινωνοὺς</reg><orig>γενωνοὺ<supplied reason="lost">ς</supplied></orig></choice> <supplied reason="lost">,<num value="5"><hi rend="supraline">ε</hi></num>,</supplied>
<lb n="3"/><supplied reason="lost">ἐφ’ ἑαυτ</supplied><unclear>ά</unclear>. <expan>γί<ex>νεται</ex></expan> <num value="25"><hi rend="supraline">κε</hi></num>. ἄλλα καὶ <num value="5">πέν<unclear>τ</unclear>ε</num>. <expan>γί<ex>νεται</ex></expan> <num value="30"><hi rend="supraline">λ</hi></num>. ὧν <num value="1/2"><unclear>ἥ</unclear><supplied reason="lost">μισυ</supplied></num>
<lb n="4"/><supplied reason="lost"><num value="15"><hi rend="supraline">ιε</hi></num>. ἐπὶ</supplied> <unclear>τ</unclear>ὸν <num value="8"><hi rend="supraline">η</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="120"><hi rend="supraline">ρκ</hi></num>. ἀπὸ τῶν <num value="300">τ</num> <choice><reg>ὑφέλομεν</reg><orig>ἡφέλω<add place="above"><unclear>σ</unclear></add>μεν</orig></choice> <supplied reason="lost"><num value="120"><hi rend="supraline">ρκ</hi></num>.</supplied>
<lb n="5"/><supplied reason="lost"><expan>γί<ex>νεται</ex></expan></supplied> <num value="180"><hi rend="supraline"><unclear>ρ</unclear>π</hi></num>. παρὰ τὸν <choice><reg>τῶν</reg><orig>τοὺς</orig></choice> <choice><reg>κοινωνῶν</reg><orig>κυνωνούς</orig></choice>. <expan>γί<ex>νεται</ex></expan> <num value="36"><hi rend="supraline">λ</hi><supplied reason="lost"><hi rend="supraline">ϛ</hi>.</supplied></num>
<lb n="6"/><choice><reg>προστίθομεν</reg><orig><supplied reason="lost">προστίθ</supplied>ωμεν</orig></choice> ἄλλας <num value="8"><hi rend="supraline">η</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="44"><supplied reason="lost"><hi rend="supraline">μ</hi></supplied><hi rend="supraline">δ</hi></num>. ἄρα ὁ πρῶτ<supplied reason="lost">ο</supplied>ς
<lb n="7"/><choice><reg><supplied reason="lost">λήψ</supplied>εται</reg><orig><supplied reason="lost">λήμψ</supplied>ετε</orig></choice> <choice><reg>πυροῦ</reg><orig>ποιροῦ</orig></choice> <expan>ἀ<ex>ρτάβας</ex></expan> <num value="44"><hi rend="supraline">μδ</hi></num>. <choice><reg>προστίθομεν</reg><orig>πρ<unclear>οσ</unclear>τίθωμεν</orig></choice> ἄλλα<unclear>ς</unclear> <num value="8"><hi rend="supraline">η</hi></num>.
<lb n="8"/><supplied reason="lost">γί<expan><ex>νεται</ex></expan> <num value="52"><hi rend="supraline">νβ</hi></num>.</supplied> ἄρα ὁ <choice><reg>δεύτερος</reg><orig>τεύτερος</orig></choice> <choice><reg>λήψεται</reg><orig>λήμψε<unclear>τ</unclear>ε</orig></choice> <choice><reg>πυροῦ</reg><orig>π<unclear>ο</unclear>ιροῦ</orig></choice> <unclear>ἀ</unclear><expan><ex>ρτάβας</ex></expan> <num value="52"><hi rend="supraline">νβ</hi></num>. καὶ
<lb n="9"/><choice><reg><supplied reason="lost">π</supplied>ροστίθομεν</reg><orig><supplied reason="lost">π</supplied>ροσ<unclear>τ</unclear>ίθ<unclear>ω</unclear>μεν</orig></choice> <num value="8"><hi rend="supraline">η</hi></num>. γί<expan><ex>νεται</ex></expan> <num value="60"><hi rend="supraline">ξ</hi></num>. ἄρ<unclear>α</unclear> ὁ τρί<unclear>τ</unclear><supplied reason="lost">ο</supplied><unclear>ς</unclear> δεύτερος <choice><reg>λήψεται</reg><orig>λ<unclear>ήμψ</unclear>ετε</orig></choice>
<lb n="10"/><choice><reg>πυροῦ</reg><orig><unclear>π</unclear>οιροῦ</orig></choice> ἀ<expan><ex>ρτάβας</ex></expan> <num value="60"><hi rend="supraline">ξ</hi></num>. καὶ <choice><reg>προστίθομεν</reg><orig>προστίθ<unclear>ω</unclear>μεν</orig></choice> <num value="8"><hi rend="supraline">η</hi></num>. γί<expan><ex>νεται</ex></expan> <num value="68"><hi rend="supraline">ξ<unclear>η</unclear></hi></num>. ἄρα
<lb n="11"/><supplied reason="lost">ὁ</supplied> <unclear>τ</unclear>έταρτος <choice><reg>λήψεται</reg><orig>λοίμψετε</orig></choice> <choice><reg>πυροῦ</reg><orig>ποιροῦ</orig></choice> <expan><unclear>ἀ</unclear><ex>ρτάβας</ex></expan> <num value="68"><hi rend="supraline"><unclear>ξη</unclear></hi></num>. καὶ <choice><reg>προστίθο<lb n="12" break="no"/>μ<supplied reason="lost">εν</supplied></reg><orig>προστίθω
<lb n="12" break="no"/><unclear>μ</unclear><supplied reason="lost">εν</supplied></orig></choice> <num value="8"><hi rend="supraline">η</hi></num>. γί<expan><ex>νεται</ex></expan> <num value="76"><hi rend="supraline">ος</hi></num>. ἄρα ὁ <choice><reg>πέμπτος</reg><orig>πένπτος</orig></choice> <choice><reg>λήψετ<supplied reason="lost">αι</supplied></reg><orig><unclear>λήμ</unclear>ψ<unclear>ετ</unclear><supplied reason="lost">ε</supplied></orig></choice> <choice><reg>πυροῦ</reg><orig><unclear>π</unclear>οιροῦ</orig></choice>
<lb n="13"/><expan><supplied reason="lost">ἀ<ex>ρτάβας</ex></supplied></expan> <num value="76"><supplied reason="lost"><hi rend="supraline">ο</hi></supplied><hi rend="supraline">ς</hi></num>. συντίθω <unclear>τ</unclear>ὰς ἀρτάβας, <num value="44"><hi rend="supraline">μδ</hi></num> <unclear>κ</unclear>αὶ <num value="52"><hi rend="supraline">νβ</hi></num> <unclear>κ</unclear>α<unclear>ὶ</unclear> <num value="60"><hi rend="supraline">ξ</hi></num> καὶ
<lb n="14"/><num value="68"><supplied reason="lost"><hi rend="supraline">ξη</hi></supplied></num> <supplied reason="lost">καὶ</supplied> <num value="76"><supplied reason="lost"><hi rend="supraline">ο</hi></supplied><hi rend="supraline"><unclear>ς</unclear></hi></num>. γί<expan><ex>νεται</ex></expan> <num value="300"><hi rend="supraline">τ</hi></num>. οὕτως ἔχε<unclear>ι</unclear> ὁμοίως.<g type="slanting-stroke"/><g type="slanting-stroke"/>
<lb n="15"/><note xml:lang="en">diagram</note> <num value="44">μδ</num> <g type="long-vertical-bar"/> <num value="52">νβ</num> <g type="long-vertical-bar"/> <num value="60">ξ</num> <g type="long-vertical-bar"/> <num value="68">ξη</num> <g type="long-vertical-bar"/> <num value="76">οϛ</num> <g type="long-vertical-bar"/><num value="300">τ</num> <num value="8">η</num>
<lb n="16"/><note xml:lang="en">palm fronds and ankh</note>
</ab></div>
</div>
<div n="N" type="textpart">
<div n="r" type="textpart"><ab>
<lb n="1"/><gap reason="lost" extent="unknown" unit="line"/>
<lb n="1"/><gap reason="lost" extent="unknown" unit="character"/> <supplied reason="lost">κ</supplied><unclear>άτω</unclear> <unclear>δ</unclear><supplied reason="lost">ιάμετρο</supplied>ς <unclear>πηχ</unclear><supplied reason="lost">ῶν <num value="32"><hi rend="supraline">λβ</hi></num>, βάθος</supplied>
<lb n="2"/><supplied reason="lost">πηχῶ</supplied>ν <num value="80"><hi rend="supraline">π</hi></num>. εὑρεῖν πόσα ναύβια <choice><reg>ἀνεβλήθη</reg><orig><unclear>ἀ</unclear>ν<unclear>α</unclear>ιβ<supplied reason="lost">λήθη</supplied></orig></choice>
<lb n="3"/><supplied reason="lost">οὕτ</supplied><unclear>ω</unclear> ποιῶ. συντίθω τ<unclear>ὰ</unclear>ς <num value="2">δύο</num> διαμέ<unclear>τ</unclear>ρ<supplied reason="lost">ους, τουτ</supplied>
<lb n="4" break="no"/><supplied reason="lost">έσ</supplied>τιν <num value="40"><hi rend="supraline">μ</hi></num> καὶ <num value="32"><hi rend="supraline">λβ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="72"><hi rend="supraline">οβ</hi></num>. ὧν <choice><reg>ἥμισυ</reg><orig>ἥμησυ</orig></choice> <expan>γί<ex>νεται</ex></expan> <num value="36"><hi rend="supraline">λς</hi></num>. <supplied reason="lost"><num value="36"><hi rend="supraline">λς</hi></num></supplied>
<lb n="5"/><supplied reason="lost">ἐφ’ ἑα</supplied><unclear>υ</unclear>τά. <expan>γί<ex>νεται</ex></expan> <num value="1296"><hi rend="supraline">Ασ<unclear>ο</unclear>ς</hi></num>. τούτων <choice><reg>ὑφέλω</reg><orig>ἑφέλω</orig></choice> <unclear>τ</unclear><supplied reason="lost">ὸ</supplied> <num value="1/4"><hi rend="supraline">δ</hi></num>. λο<supplied reason="lost">ιπαὶ <num value="972"><hi rend="supraline">ϡοβ</hi></num>.</supplied>
<lb n="6"/><num value="972"><supplied reason="lost">ϡ̅ο̅β̅</supplied></num> <unclear>ἐ</unclear>π<supplied reason="lost">ὶ τ</supplied>ὸ βάθ<unclear>ο</unclear>ς, πηχῶν <num value="80"><hi rend="supraline">π</hi></num>. <expan><unclear>γί</unclear><ex>νεται</ex></expan> <num value="77760"><supplied reason="lost"><expan><ex>μυριάδες</ex></expan></supplied> <hi rend="supraline">ζ</hi> <hi rend="supraline">Ζφξ</hi></num>.
<lb n="7"/><supplied reason="lost">τα</supplied><unclear>ῦ</unclear>τα <choice><reg>μερίζω</reg><orig><unclear>μερ</unclear>ίσω</orig></choice> παρὰ <choice><reg>τὸν</reg><orig>τῶν</orig></choice> <num value="27"><hi rend="supraline">κζ</hi></num>. διότι; <supplied reason="lost">ἔχει</supplied> τὸ να<unclear>ύ</unclear>
<lb n="8" break="no"/><supplied reason="lost">β</supplied><unclear>ι</unclear>ον πήχεις <num value="27"><hi rend="supraline">κζ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="2880"><hi rend="supraline">Βωπ</hi></num>. ἄρα <supplied reason="lost">ἀνεβ</supplied><unclear>λ</unclear>ήθη
<lb n="9"/><supplied reason="lost">ν</supplied><unclear>αύ</unclear>βια <num value="2880"><hi rend="supraline">Βωπ</hi></num>.
<lb n="10"/><note xml:lang="en">diagram</note> <num value="40">μ</num> <g type="long-vertical-bar"/> <num value="32">λβ</num> <g type="long-vertical-bar"/> <num value="80">π</num> <g type="long-vertical-bar"/> <num value="2880">Βωπ</num>
<lb n="11"/><note xml:lang="en">decorative border</note>
<lb n="12"/>θησαυρὸς τρίγωνος, μῆκος πηχῶν <num value="20"><hi rend="supraline">κ</hi></num>, πλάτος πηχῶν
<lb n="13"/><num value="30"><hi rend="supraline"><unclear>λ</unclear></hi></num>, βά<unclear>θ</unclear>ος πηχῶν <num value="6"><hi rend="supraline">ς</hi></num>. εὑρεῖν τὰς ἀρτάβας. οὕτω ποιοῦμεν.
<lb n="14"/><supplied reason="lost">τ</supplied>ὸ πλάτος ἐπὶ τὸ μῆκος, <num value="20"><hi rend="supraline">κ</hi></num> ἐπὶ τὸν <num value="30"><hi rend="supraline">λ</hi></num>. γί<expan><ex>νεται</ex></expan> <num value="600"><hi rend="supraline">χ</hi></num>. τούτων
<lb n="15"/>τὸ <num value="1/4">τέταρτον</num>. γί<expan><ex>νεται</ex></expan> <num value="150"><hi rend="supraline">ρν</hi></num>. <choice><reg>ἐπὶ</reg><orig>ἐπεὶ</orig></choice> <choice><reg>τὸ</reg><orig>δὸ</orig></choice> βάθος, πηχῶν <num value="6"><hi rend="supraline">ς</hi></num>.
<lb n="16"/><supplied reason="lost">γί<expan><ex>νεται</ex></expan></supplied> <num value="900"><hi rend="supraline">ϡ</hi></num>. <num value="900"><hi rend="supraline">ϡ</hi></num> ἐπὶ τὸν <num value="3"><hi rend="supraline">γ</hi></num> <num value="1/4"><hi rend="supraline">δ</hi></num> <num value="1/8"><hi rend="supraline">η</hi></num>. γί<expan><ex>νεται</ex></expan> <num value="3037"><hi rend="supraline">Γλζ</hi></num> <num value="1/2"><hi rend="supraline">𐅵</hi></num>. οὕτως ἔχει.
<lb n="17"/><note xml:lang="en">diagram</note> <num value="20">κ</num> <g type="long-vertical-bar"/> <num value="30">λ</num> <g type="long-vertical-bar"/> <num value="6">ϛ</num> <g type="long-vertical-bar"/> <num value="3037"><hi rend="supraline">Γλζ</hi></num> <num value="1/2"><hi rend="supraline">𐅵</hi></num>
<lb n="18"/><note xml:lang="en">palm frond and decorative border</note>
</ab></div>
<div n="v" type="textpart"><ab>
<lb n="1"/> <gap reason="lost" extent="unknown" unit="line"/>
<lb n="1"/><supplied reason="lost">εὑρε</supplied><unclear>ῖ</unclear><supplied reason="lost">ν</supplied> <unclear>πόσ</unclear><supplied reason="lost">ας ἀ</supplied><unclear>ρτ</unclear><supplied reason="lost">ά</supplied>βας χώρη<supplied reason="lost">σει ὁ θησαυ</supplied>
<lb n="2" break="no"/><unclear>ρ</unclear><supplied reason="lost">ός.</supplied> <choice><reg><supplied reason="lost">οὕ</supplied>τω</reg><orig><supplied reason="lost">οὕ</supplied>το</orig></choice> π<supplied reason="lost">ο</supplied>ιοῦμεν. <choice><reg>πολυπλασιάζο<supplied reason="lost">μεν</supplied></reg><orig><supplied reason="lost">πο</supplied>λυπλαδιάζω<supplied reason="lost">μεν</supplied></orig></choice> <supplied reason="lost">τὸ μῆκος</supplied>
<lb n="3"/>ἐπ<supplied reason="lost">ὶ</supplied> τὸ πλάτος, <num value="20"><hi rend="supraline">κ</hi></num> <supplied reason="lost">ἐ</supplied><unclear>π</unclear>ὶ τ<unclear>ὸ</unclear>ν <num value="10"><hi rend="supraline">ι</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="200"><hi rend="supraline">σ</hi></num>. <app type="editorial"><lem resp="J. Lougovaya, Pylon 4 (2023) §12">ὧ<supplied reason="lost">ν τὸ <num value="1/4">δ</num> <expan>γ<ex>ίνεται</ex></expan> <num value="50"><hi rend="supraline">ν</hi></num></supplied></lem><rdg>ὧ<supplied reason="lost">ν <num value="1/2">ἥμισυ</num> <num value="100"><hi rend="supraline">ρ</hi></num>.</supplied></rdg></app>
<lb n="4"/>τα<unclear>ῦ</unclear>τα ποιῶ ἐπὶ τὸ βάθος, πηχῶ<supplied reason="lost">ν</supplied> <app type="editorial"><lem resp="J. Lougovaya, Pylon 4 (2023) §12"><num value="6"><supplied reason="lost"><hi rend="supraline">ϛ</hi></supplied></num></lem><rdg><num value="3"><supplied reason="lost"><hi rend="supraline">γ</hi></supplied></num></rdg></app><supplied reason="lost">. <expan>γ<ex>ίνεται</ex></expan> <num value="300"><hi rend="supraline">τ</hi></num>. <num value="300"><hi rend="supraline">τ</hi></num></supplied>
<lb n="5"/><unclear>ἐ</unclear>πὶ τὸν <num value="3"><hi rend="supraline"><unclear>γ</unclear></hi></num> <num value="1/4"><hi rend="supraline">δ</hi></num> <num value="1/8"><hi rend="supraline">η</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="1012"><hi rend="supraline">Αιβ</hi></num> <num value="1/2"><hi rend="supraline">𐅵</hi></num>. ἄρα <choice><reg>χωρήσει</reg><orig>χωρήσι</orig></choice> ὁ <supplied reason="lost">θησαυρὸς</supplied>
<lb n="6"/>σίτου ἀρτάβας<num value="1012"><hi rend="supraline">Αιβ</hi></num> <num value="1/2"><hi rend="supraline">𐅵</hi></num>. καὶ ἐπὶ τῶν ὁμοί<supplied reason="lost">ων.</supplied>
<lb n="7"/><note xml:lang="en">diagram</note> <expan>ἀ<ex>ρτάβαι</ex></expan> <num value="1012">Αιβ</num> <num value="1/2"><hi rend="supraline">𐅵</hi></num>
<lb n="8"/>θησαυρὸς καμαρωτὸ<unclear>ς</unclear> <choice><reg>σχῆμα</reg><orig>σχοῖμα</orig></choice> <gap reason="illegible" quantity="5" unit="character"/><gap reason="lost" extent="unknown" unit="character"/>
<lb n="9"/>μενος ὑπὸ <choice><reg>τεσσάρων</reg><orig>τεσάρων</orig></choice> διαστάσεω<supplied reason="lost">ν</supplied> <gap reason="illegible" quantity="3" unit="character"/><gap reason="lost" extent="unknown" unit="character"/>
<lb n="10"/>τὸ μῆκος πηχῶν <num value="25"><hi rend="supraline">κε</hi></num>, τὸ <choice><reg>δὲ</reg><orig>τὲ</orig></choice> πλά<supplied reason="lost">τ</supplied><unclear>ος</unclear> <unclear>π</unclear><supplied reason="lost">ηχῶν</supplied>
<lb n="11"/><num value="15"><hi rend="supraline">ιε</hi></num>, <choice><reg>ἡ</reg><orig>τὴ</orig></choice> δὲ καμάρα πηχῶν <num value="18"><hi rend="supraline">ιη</hi></num>, β<unclear>ά</unclear>θο<unclear>ς</unclear> <supplied reason="lost">πηχ</supplied>
<lb n="12" break="no"/>ῶν <num value="16"><hi rend="supraline">ις</hi></num>. εὑ<unclear>ρ</unclear>εῖν <unclear>πό</unclear>σ<unclear>ας</unclear> ἀρτάβας <choice><reg>χωρήσει</reg><orig>χωρήσι</orig></choice> ὁ θ<supplied reason="lost">ησ</supplied>
<lb n="13" break="no"/>αυρός. οὕτω ποιῶ. <choice><reg>πολυπλασιάζω</reg><orig>ποληπλαδιάζω</orig></choice> τὸ <supplied reason="lost">μῆκος</supplied>
<lb n="14"/>ἐπὶ τὸ πλάτος, <subst><add place="inline">τούτεστιν</add><del rend="corrected">δούδεσδιν</del></subst> <num value="25"><hi rend="supraline">κε</hi></num> ἐπὶ τὸν <num value="15"><hi rend="supraline">ιε</hi></num>. <expan>γί<ex>νεται</ex></expan> <supplied reason="lost"><num value="375"><hi rend="supraline">τοε</hi></num>.</supplied>
<lb n="15"/>ὁμοίως. <choice><reg>πολυπλασιάζω</reg><orig>ποληπλαδιάζω</orig></choice> τὴν καμάραν <unclear>ἐ</unclear><supplied reason="lost">πὶ</supplied>
<lb n="16"/><unclear>τὸ</unclear> <unclear>β</unclear>άθος, <num value="16"><hi rend="supraline">ις</hi></num> ἐπὶ τὸν <num value="18"><hi rend="supraline">ιη</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="288"><hi rend="supraline">σπη</hi></num>. ταῦτ<unclear>α</unclear> <supplied reason="lost">πολυ</supplied>
<lb n="17" break="no"/><choice><reg>πλασιάζω</reg><orig>πλαδιάζω</orig></choice> ἐπὶ τὸν <num value="375"><hi rend="supraline">τοε</hi></num>. <expan>γί<ex>νεται</ex></expan> <expan><ex>μυριάδες</ex></expan> <num value="108000"><hi rend="supraline">ιΗ</hi></num>. <supplied reason="lost">ἐ</supplied>πὶ <unclear>τ</unclear><supplied reason="lost">ὸ <num value="3"><hi rend="supraline">γ</hi></num> <num value="1/4"><hi rend="supraline">δ</hi></num> <num value="8"><hi rend="supraline">η</hi></num>.</supplied>
<lb n="18"/><supplied reason="lost"><expan>γί<ex>νεται</ex></expan></supplied> <expan><ex>μυριάδες</ex></expan> <num value="364500"><hi rend="supraline">λςΔφ</hi></num>. ἄρα <choice><reg>χωρήσει</reg><orig>χωρήσι</orig></choice> <surplus>ἄρα χωρήσι</surplus> <supplied reason="lost">ὁ</supplied> θη<unclear>σ</unclear><supplied reason="lost">αυρὸς</supplied>
<lb n="19"/><choice><reg>ἀρταβῶν</reg><orig><supplied reason="lost">ἀρ</supplied>τάβας</orig></choice> <expan><ex>μυριάδας</ex></expan> <num value="364500"><hi rend="supraline">λςΔφ</hi></num>.
<lb n="20"/><note xml:lang="en">diagram</note> <expan><ex>μυριάδες</ex></expan> <num value="364500"><hi rend="supraline">λςΔφ</hi></num>
</ab></div>
</div>
<div n="O" type="textpart">
<div n="r" type="textpart"><ab>
<lb n="1"/><supplied reason="lost">θησαυρὸ</supplied><unclear>ς</unclear> <unclear>κ</unclear><supplied reason="lost">α</supplied><unclear>μ</unclear><supplied reason="lost">α</supplied><unclear>ρ</unclear><supplied reason="lost">ω</supplied>τός, μῆκος <unclear>π</unclear><supplied reason="lost">ηχῶν <num value="5"><hi rend="supraline">ε</hi></num>, πλά</supplied>
<lb n="2" break="no"/><supplied reason="lost">τος π</supplied><unclear>η</unclear>χῶν <num value="3"><hi rend="supraline">γ</hi></num>, βάθος πηχῶν <supplied reason="lost"><num value="2"><hi rend="supraline">β</hi></num>,</supplied> <unclear>κα</unclear>ὶ <choice><reg>καμ<lb n="3" break="no"/>άρα</reg><orig><unclear>κ</unclear><supplied reason="lost">α</supplied>
<lb n="3" break="no"/><unclear>μάρο</unclear>ς</orig></choice> πηχῶν <num value="2"><hi rend="supraline">β</hi></num>. <choice><reg>εὑρεῖν</reg><orig>εὑρεν</orig></choice> τὰς ἀρτάβας. <choice><reg>οὕτω</reg><orig>οὕτο</orig></choice> <supplied reason="lost">ποιοῦμεν.</supplied>
<lb n="4"/><unclear>τὸ</unclear> πλάτος ἐ<unclear>πὶ</unclear> τὸ βά<supplied reason="omitted">θο</supplied>ς, <num value="5"><hi rend="supraline">ε</hi></num> ἐπὶ τὸν <num value="2"><hi rend="supraline">β</hi></num>. γί<expan><ex>νεται</ex></expan> <num value="10"><hi rend="diaeresis">ι</hi></num>. ἐπ<supplied reason="lost">ὶ τὸ πλάτος, <num value="3"><hi rend="supraline">γ</hi></num>.</supplied>
<lb n="5"/>γί<expan><ex>νεται</ex></expan> <num value="30"><hi rend="supraline">λ</hi></num>. ἐπὶ τὴν καμάραν, <num value="2"><hi rend="supraline">β</hi></num>. γί<expan><ex>νεται</ex></expan> <num value="60"><hi rend="supraline">ξ</hi></num>. ἐπὶ τὸν <num value="3"><hi rend="supraline">γ</hi></num> <num value="1/4"><hi rend="supraline">δ</hi></num> <num value="8"><hi rend="supraline">η</hi></num>. <supplied reason="lost">γί<expan><ex>νεται</ex></expan> <num value="202"><hi rend="supraline">σβ</hi></num> <num value="1/2" rend="tick">𐅵</num>.</supplied>
<lb n="6"/>ἄρα <choice><reg>χωρήσει</reg><orig>χωρήσι</orig></choice> ὁ <choice><reg>θησαυρὸς</reg><orig>θ<unclear>υσα</unclear>υρὸς</orig></choice> ἀρτάβας <num value="202"><hi rend="supraline">σ<unclear>β</unclear></hi></num> <num value="1/2" rend="tick">𐅵</num>. <unclear>ο</unclear><supplied reason="lost">ὕτως ἔχει ὁμοίως.</supplied>
<lb n="7"/><note xml:lang="en">diagram</note> <num value="8">ε</num> <g type="long-vertical-bar"/> <num value="3">γ</num> <g type="long-vertical-bar"/> <num value="1/2" rend="tick">𐅵</num>
<lb n="8"/>σφραγὶς, <unclear>ν</unclear>ότ<unclear>ο</unclear>υ <supplied reason="lost">σχοι</supplied><unclear>ν</unclear>ί<supplied reason="lost">α</supplied> ὁσαδήποτε, βορρ<unclear>ᾶ</unclear> <num value="4"><supplied reason="lost"><hi rend="supraline">δ</hi></supplied></num>,
<lb n="9"/>ἀπηλιώτου <num value="4"><hi rend="supraline">δ</hi></num>, λ<unclear>ι</unclear><supplied reason="lost"><space extent="unknown" unit="character"/></supplied>β<unclear>ὸς</unclear> <num value="4"><hi rend="supraline">δ</hi></num>, ἐπὶ ἀρούρας <num value="32"><hi rend="supraline">λ<unclear>β</unclear></hi></num>. <unclear>ο</unclear><supplied reason="lost">ὕτω</supplied>
<lb n="10"/>ποι<supplied reason="omitted">οῦ</supplied>μεν. διπλοῦμεν τὰ<unclear>ς</unclear> ἀρούρας, διπλοῦμεν τὰ <supplied reason="lost"><num value="32"><hi rend="supraline">λβ</hi></num>. γί<expan><ex>νεται</ex></expan> <num value="64"><hi rend="supraline">ξδ</hi></num>.</supplied>
<lb n="11"/><unclear>π</unclear>αρὰ τὸν <num value="4"><hi rend="supraline">δ</hi></num>. <supplied reason="omitted"><expan>γί<ex>νεται</ex></expan></supplied> <num value="16"><hi rend="supraline">ις</hi></num>. ἀπὸ τῶν <num value="16"><hi rend="supraline">ις</hi></num> <choice><reg>ὑφέλομεν</reg><orig>οἱφέλομεν</orig></choice> <num value="4"><hi rend="supraline">δ</hi></num>. <supplied reason="lost">γί<expan><ex>νεται</ex></expan> <num value="12"><hi rend="supraline">ιβ</hi></num>.</supplied>
<lb n="12"/>ἔσται νότου <num value="12"><hi rend="supraline">ιβ</hi></num>. οὕτως ἔχει.<g type="slanting-stroke"/><g type="slanting-stroke"/><g type="slanting-stroke"/><g type="slanting-stroke"/>
<lb n="13"/>diagram <num value="12"><hi rend="supraline">ιβ</hi></num><g type="slanting-stroke"/> <g type="long-vertical-bar"/> <num value="4"><hi rend="supraline">δ</hi></num> <g type="long-vertical-bar"/> <num value="4"><hi rend="supraline">δ</hi></num> <g type="long-vertical-bar"/> <num value="4"><hi rend="supraline">δ</hi></num> <g type="long-vertical-bar"/> <num value="32"><hi rend="supraline">λβ</hi></num>
<lb n="14"/>ψιλός, μῆκος πηχῶν <num value="60"><hi rend="supraline">ξ</hi></num>, πλάτος πηχ<unclear>ῶν</unclear> <num value="30"><supplied reason="lost"><hi rend="supraline">λ</hi></supplied></num> <supplied reason="lost" cert="low">καὶ</supplied>
<lb n="15"/>πηχῶν <num value="12"><hi rend="supraline">ιβ</hi></num>. εὑρεῖν πόσους βίκους ἔ<unclear>σ</unclear>τ<supplied reason="lost">αι.</supplied>
<lb n="16"/><choice><reg>οὕτω</reg><orig>οὕτο</orig></choice> ποιοῦμεν. <num value="30"><hi rend="supraline">λ</hi></num> ἐπὶ τὸν <num value="60"><hi rend="supraline">ξ</hi></num> γί<expan><ex>νεται</ex></expan> <num value="1800"><hi rend="supraline">Αω</hi></num>. ἐπ<unclear>ὶ</unclear>
<lb n="17"/>πηχῶν <num value="12"><hi rend="supraline">ιβ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="21600"><expan><ex>μυριάδες</ex></expan> <num value="2"><hi rend="supraline">β</hi></num><num value="1600"><subst><add place="inline"><hi rend="supraline">Αχ</hi></add><del rend="corrected"><hi rend="supraline">Α</hi>ω</del></subst></num></num>. ταῦτα μερίζομ<supplied reason="lost">εν</supplied>
<lb n="18"/>παρὰ τὸν <num value="200"><hi rend="supraline">σ</hi></num>. διὰ τί παρὰ τὸν <num value="200"><hi rend="supraline">σ</hi></num>; ὅτι ὁ βῖκο<unclear>ς</unclear>
<lb n="19"/>ἔχει <choice><reg>ἐμβαδοὺς</reg><orig>ἐνβαδοὺς</orig></choice> πήχεις <num value="200"><hi rend="supraline">σ</hi></num><g type="slanting-stroke"/>. γί<expan><ex>νεται</ex></expan> <num value="108"><hi rend="supraline">ρη</hi></num>. ἄρα ἦν <unclear>ὁ</unclear>
<lb n="20"/><choice><reg>ψιλὸς</reg><orig>ψιλὼ</orig></choice> βίκων <num value="108"><hi rend="supraline">ρη</hi></num>. οὕτως ἔχει.<g type="slanting-stroke"/><g type="slanting-stroke"/>
<lb n="21"/><note xml:lang="en">decorative border</note>
<lb n="22"/><choice><reg>τρίγωνον</reg><orig>τρίκωνι</orig></choice> καὶ πλευρὰ τὸν <num value="10"><hi rend="diaeresis">ι</hi></num>. οὕτω ποιοῦ<unclear>με</unclear><supplied reason="lost">ν. ὀ</supplied>
<lb n="23" break="no"/>κταπλοῦμεν τὰ <num value="10">δέκα</num>. γί<expan><ex>νεται</ex></expan> <num value="80"><hi rend="supraline">π</hi></num>. προσθὲς <num value="80"><unclear>π</unclear></num> <supplied reason="lost">ἐπὶ</supplied>
<lb n="24"/><choice><reg>τὴν</reg><orig>τὰν</orig></choice> μίαν. <expan>γί<ex>νεται</ex></expan> <num value="81"><hi rend="supraline">πα</hi></num>. ὧν πλευρὰ <num value="8"><hi rend="supraline">θ</hi></num>. <choice><reg>ὑφέλομεν</reg><orig>οἱφέλωμ<supplied reason="lost">εν</supplied></orig></choice>
<lb n="25"/><choice><reg>τὴν</reg><orig><unclear>τ</unclear>ὰν</orig></choice> μίαν<g type="slanting-stroke"/>. λο<add place="above">ι</add>παὶ <num value="8"><hi rend="supraline">η</hi></num>. τούτων τὸ τρίτον, <num value="2"><hi rend="supraline">β</hi></num> <num value="2/3">𐅷</num>. <supplied reason="lost">οὕτως</supplied>
<lb n="26"/>ἔχει ὁμοίω<unclear>ς</unclear>. <g rend="extension" type="filler"/>
</ab></div>
<div n="v" type="textpart"><ab>
<lb n="1"/><gap reason="lost" extent="unknown" unit="line"/>
<lb n="1"/><gap reason="lost" quantity="7" unit="character"/> <supplied reason="lost">νότου σχ</supplied>οιν<supplied reason="omitted">ί</supplied>α <supplied reason="lost"><num value="8"><hi rend="supraline">η</hi></num> <num value="1/2" rend="tick">𐅵</num> <num value="1/4">δ</num> <num value="8"><hi rend="supraline">η</hi></num></supplied>, β<unclear>ο</unclear>ρρᾶ σχ<unclear>οιν</unclear><supplied reason="lost">ία <num value="6"><hi rend="supraline">ϛ</hi></num> <num value="1/2" rend="tick">𐅵</num> <num value="1/4">δ</num>,</supplied>
<lb n="2"/><supplied reason="lost">ἀπηλιώτ</supplied><unclear>ο</unclear>υ σχοινία <num value="1/2" rend="tick">𐅵</num> <num value="1/4">δ</num> <num value="8"><hi rend="supraline">η</hi></num>, λιβὸς σχοινία <num value="4"><unclear>δ</unclear></num> <num value="1/2" rend="tick">𐅵</num>.
<lb n="3"/><supplied reason="lost">εὑρεῖ</supplied>ν τὰς ἀρούρας. <choice><reg>οὕτω</reg><orig>οὕτου</orig></choice> ποιοῦμεν. συντί
<lb n="4" break="no"/><supplied reason="lost">θωμεν</supplied> <choice><reg><supplied reason="lost">τ</supplied>ὸν</reg><orig><supplied reason="lost">τ</supplied>ὸ</orig></choice> <choice><reg>νότον</reg><orig>νώτον</orig></choice> καὶ τὸν <choice><reg>βορρᾶν</reg><orig>βορέαν</orig></choice>, <num value="8">η</num> <num value="1/2" rend="tick"><hi rend="supraline">𐅵</hi></num> <num value="1/4"><hi rend="supraline">δ</hi></num> <num value="8"><hi rend="supraline">η</hi></num> καὶ <num value="6"><hi rend="supraline">ϛ</hi></num> <num value="1/2" rend="tick"><hi rend="supraline">𐅵</hi></num> <num value="1/4"><hi rend="supraline">δ</hi></num>.
<lb n="5"/><supplied reason="lost"><expan>γί<ex>νεται</ex></expan> <num value="15">ιε</num> <num value="1/2" rend="tick"><hi rend="supraline">𐅵</hi></num></supplied> <num value="1/4"><surplus><hi rend="supraline">δ</hi></surplus></num> <num value="8"><hi rend="supraline">η</hi></num>. ὧν <num value="1/2">ἥμισυ</num> <surplus>υ</surplus> <num value="7"><hi rend="supraline">ζ</hi></num> <num value="1/2" rend="tick"><hi rend="supraline">𐅵</hi></num> <num value="1/4"><hi rend="supraline">δ</hi></num> <num value="16"><hi rend="supraline">ιϛ</hi></num>. καὶ πάλιν συντίθω
<lb n="6" break="no"/><supplied reason="lost">μεν τὸν</supplied> <choice><reg>ἀπηλιώτην</reg><orig>ἀπηλιώτου</orig></choice> καὶ τὸν <choice><reg>λίβα</reg><orig>λίβαν</orig></choice>, <num value="5"><hi rend="supraline">ε</hi></num> <num value="1/2" rend="tick"><hi rend="supraline">𐅵</hi></num> <num value="4"><hi rend="supraline">δ</hi></num> <num value="8"><hi rend="supraline">η</hi></num> καὶ <num value="4"><hi rend="supraline"><unclear>δ</unclear></hi></num><num value="1/2" rend="tick"><hi rend="supraline">𐅵</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="10"><hi rend="supraline">ι</hi></num> <choice><reg><num value="4"><hi rend="supraline">δ</hi></num> <num value="8"><hi rend="supraline">η</hi></num></reg><reg><num value="8"><hi rend="supraline">η</hi></num></reg><orig><num value="1/2" rend="tick"><hi rend="supraline">𐅵</hi></num></orig></choice>.
<lb n="7"/><supplied reason="lost">ὧν</supplied> <choice><reg>ἡμίση</reg><orig>ἥμισυ</orig></choice> <num value="5"><hi rend="supraline">ε</hi></num> <num value="1/16"><hi rend="supraline">ις</hi></num> . τὰ <choice><reg>ἡμίση</reg><orig>ἥμισυ</orig></choice> ἐπ’ ἄλληλα. <choice><reg>ἀπόδειξις</reg><orig>ἀπόδιξεις</orig></choice>.
<lb n="8"/><supplied reason="lost"><num value="7"><hi rend="supraline">ζ</hi></num> <num value="1/2" rend="tick"><hi rend="supraline">𐅵</hi></num> <num value="1/4"><hi rend="supraline">δ</hi></num></supplied> <num value="1/16"><supplied reason="lost"><hi rend="supraline">ι</hi></supplied><hi rend="supraline">ς</hi></num> ἐπὶ τὸν <num value="8"><hi rend="supraline">η</hi></num> <expan>γί<ex>νεται</ex></expan> <num value="62"><hi rend="supraline">ξβ</hi></num><num value="1/2" rend="tick"><hi rend="supraline">𐅵</hi></num>. καὶ πάλιν <num value="5">ε</num> <num value="1/16"><hi rend="supraline">ις</hi></num>
<lb n="9"/><supplied reason="lost">ἐπὶ τ</supplied><unclear>ὸ</unclear>ν <num value="8"><hi rend="supraline">η</hi></num>. <expan>γί<ex>νεται</ex></expan> <choice><reg><app type="alternative"><lem><num value="40"><hi rend="supraline">μ</hi></num> <num value="1/2" rend="tick">𐅵</num></lem><rdg><num value="41"><hi rend="supraline">μα</hi></num> <num value="1/2" rend="tick">𐅵</num></rdg></app></reg><orig><num value="42"><hi rend="supraline">μβ</hi></num> <num value="1/2" rend="tick">𐅵</num></orig></choice>. <num value="62"><hi rend="supraline">ξβ</hi></num> <num value="1/2" rend="tick">𐅵</num> ἐπὶ τὸν <choice><reg><app type="alternative"><lem><num value="40"><hi rend="supraline">μ</hi></num> <num value="1/2" rend="tick">𐅵</num></lem><rdg><num value="41"><hi rend="supraline">μα</hi></num> <num value="1/2" rend="tick">𐅵</num></rdg></app></reg><orig><num value="42"><hi rend="supraline">μβ</hi></num> <num value="1/2" rend="tick">𐅵</num></orig></choice>. <expan>γί<ex>νεται</ex></expan> <num value="2531">Βφλα</num> <num value="1/4">δ</num>.
<lb n="10"/><supplied reason="lost">παρὰ τὸ</supplied>ν <num value="64"><hi rend="supraline">ξδ</hi></num>. <expan>γί<ex>νεται</ex></expan> <num value="39"><hi rend="supraline">λθ</hi></num> <num value="1/2" rend="tick">𐅵</num> <num value="32">λβ</num> <num value="64">ξδ</num> <num value="1/256"><hi rend="supraline">σνς</hi></num>. οὕτως ἔχει. <g type="slanting-stroke"/><g type="slanting-stroke"/><g type="slanting-stroke"/>
<lb n="11"/><note xml:lang="en">diagram</note> <supplied reason="lost"><num value="8">η</num></supplied><num value="1/2" rend="tick">𐅵</num> <num value="1/4"><hi rend="supraline">δ</hi></num> <num value="1/8">η</num> <g type="long-vertical-bar"/> <num value="5">ε</num> <num value="1/2" rend="tick">𐅵</num> <num value="1/4">δ</num> <num value="1/8">η</num> <g type="long-vertical-bar"/> <num value="6">ϛ</num> <num value="1/2" rend="tick">𐅵</num> <num value="1/4">δ</num> <g type="long-vertical-bar"/> <num value="4">δ</num> <num value="1/2" rend="tick">𐅵</num> <g type="long-vertical-bar"/> <num value="39">λθ</num> <num value="1/2">𐅵</num> <del rend="erasure"><num value="1/4">δ</num></del> <num value="1/32">λβ</num> <num value="1/64">ξδ</num> <num value="1/256">σνϛ</num>
<lb n="12"/><gap reason="lost" quantity="5" unit="character"/><unclear>ς</unclear> <choice><reg>ξυλοτομοῦντες</reg><orig>ξυλοτομοῦντος</orig></choice> ἐφ’ ἡμέρας <hi rend="supraline">ιε</hi>
<lb n="13"/><supplied reason="lost">καὶ κο</supplied><unclear>μίσ</unclear>ας ὑπὲρ <choice><reg>μισθοῦ</reg><orig>μισθοὺς</orig></choice> ἀργυρίου <expan><ex>τάλαντα</ex></expan> <subst><add place="inline"><num value="120">ρκ</num></add><del rend="corrected"><num value="130">ρλ</num></del></subst>,