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<a href="classCGAL_1_1Circle__2-members.html">List of all members</a> </div>
<div class="headertitle"><div class="title">CGAL::Circle_2< Kernel > Class Template Reference<div class="ingroups"><a class="el" href="group__PkgKernel23Ref.html">2D and 3D Linear Geometry Kernel Reference</a> » <a class="el" href="group__kernel__classes2.html">2D Kernel Objects</a></div></div></div>
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<p><code>#include <CGAL/Circle_2.h></code></p>
<a name="details" id="details"></a><h2 class="groupheader">Definition</h2>
<div class="textblock"><div class="compoundTemplParams">template<typename <a class="el" href="classKernel.html">Kernel</a>><br>
class CGAL::Circle_2< Kernel ></div><p>An object <code>c</code> of type <code><a class="el" href="classCGAL_1_1Circle__2.html" title="An object c of type Circle_2 is a circle in the two-dimensional Euclidean plane .">Circle_2</a></code> is a circle in the two-dimensional Euclidean plane \( \E^2\). </p>
<p>The circle is oriented, i.e. its boundary has clockwise or counterclockwise orientation. The boundary splits \( \E^2\) into a positive and a negative side, where the positive side is to the left of the boundary. The boundary also splits \( \E^2\) into a bounded and an unbounded side. Note that the circle can be degenerated, i.e. the squared radius may be zero.</p>
<dl>
<dt>Is model of</dt>
<dd><code><a class="el" href="classKernel_1_1Circle__2.html" title="A type representing circles in two dimensions.">Kernel::Circle_2</a></code> </dd>
<dt></dt>
<dd><code><a class="elRef" href="../STL_Extension/classHashable.html">Hashable</a></code> if <code><a class="el" href="classKernel.html" title="The concept of a kernel is defined by a set of requirements on the provision of certain types and acc...">Kernel</a></code> is a cartesian kernel and if <code>Kernel::FT</code> is <code><a class="elRef" href="../STL_Extension/classHashable.html">Hashable</a></code></dd>
</dl>
</div><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader">Creation</h2></td></tr>
<tr class="memitem:aa4288248fd220340df32bf677b243a87"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classCGAL_1_1Circle__2.html#aa4288248fd220340df32bf677b243a87">Circle_2</a> (const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > &<a class="el" href="classCGAL_1_1Circle__2.html#a12f2724f354977c15fe8b29af099484b">center</a>, const Kernel::FT &<a class="el" href="classCGAL_1_1Circle__2.html#a3bee3b5df6f471d9fa3a6546c5a4c523">squared_radius</a>, const <a class="el" href="group__kernel__enums.html#ga59bee58a806ccde81562ea315ff75525">Orientation</a> &ori=<a class="el" href="group__kernel__enums.html#ga39fcfbab0b0f0ce9139ad1613e21d60d">COUNTERCLOCKWISE</a>)</td></tr>
<tr class="memdesc:aa4288248fd220340df32bf677b243a87"><td class="mdescLeft"> </td><td class="mdescRight">introduces a variable <code>c</code> of type <code><a class="el" href="classCGAL_1_1Circle__2.html" title="An object c of type Circle_2 is a circle in the two-dimensional Euclidean plane .">Circle_2</a></code>. <br></td></tr>
<tr class="separator:aa4288248fd220340df32bf677b243a87"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a0224ebf5bbcd2992731a077d95d09b27"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classCGAL_1_1Circle__2.html#a0224ebf5bbcd2992731a077d95d09b27">Circle_2</a> (const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > &p, const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > &q, const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > &r)</td></tr>
<tr class="memdesc:a0224ebf5bbcd2992731a077d95d09b27"><td class="mdescLeft"> </td><td class="mdescRight">introduces a variable <code>c</code> of type <code><a class="el" href="classCGAL_1_1Circle__2.html" title="An object c of type Circle_2 is a circle in the two-dimensional Euclidean plane .">Circle_2</a></code>. <br></td></tr>
<tr class="separator:a0224ebf5bbcd2992731a077d95d09b27"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a54b545c955b2c19dd0cacd0aaa59a46b"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classCGAL_1_1Circle__2.html#a54b545c955b2c19dd0cacd0aaa59a46b">Circle_2</a> (const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > &p, const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > &q, const <a class="el" href="group__kernel__enums.html#ga59bee58a806ccde81562ea315ff75525">Orientation</a> &ori=<a class="el" href="group__kernel__enums.html#ga39fcfbab0b0f0ce9139ad1613e21d60d">COUNTERCLOCKWISE</a>)</td></tr>
<tr class="memdesc:a54b545c955b2c19dd0cacd0aaa59a46b"><td class="mdescLeft"> </td><td class="mdescRight">introduces a variable <code>c</code> of type <code><a class="el" href="classCGAL_1_1Circle__2.html" title="An object c of type Circle_2 is a circle in the two-dimensional Euclidean plane .">Circle_2</a></code>. <br></td></tr>
<tr class="separator:a54b545c955b2c19dd0cacd0aaa59a46b"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a029d79198da34c791b978e40b492f4e9"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classCGAL_1_1Circle__2.html#a029d79198da34c791b978e40b492f4e9">Circle_2</a> (const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > &<a class="el" href="classCGAL_1_1Circle__2.html#a12f2724f354977c15fe8b29af099484b">center</a>, const <a class="el" href="group__kernel__enums.html#ga59bee58a806ccde81562ea315ff75525">Orientation</a> &ori=<a class="el" href="group__kernel__enums.html#ga39fcfbab0b0f0ce9139ad1613e21d60d">COUNTERCLOCKWISE</a>)</td></tr>
<tr class="memdesc:a029d79198da34c791b978e40b492f4e9"><td class="mdescLeft"> </td><td class="mdescRight">introduces a variable <code>c</code> of type <code><a class="el" href="classCGAL_1_1Circle__2.html" title="An object c of type Circle_2 is a circle in the two-dimensional Euclidean plane .">Circle_2</a></code>. <br></td></tr>
<tr class="separator:a029d79198da34c791b978e40b492f4e9"><td class="memSeparator" colspan="2"> </td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader">Access Functions</h2></td></tr>
<tr class="memitem:a12f2724f354977c15fe8b29af099484b"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > & </td><td class="memItemRight" valign="bottom"><a class="el" href="classCGAL_1_1Circle__2.html#a12f2724f354977c15fe8b29af099484b">center</a> () const</td></tr>
<tr class="memdesc:a12f2724f354977c15fe8b29af099484b"><td class="mdescLeft"> </td><td class="mdescRight">returns the center of <code>c</code>. <br></td></tr>
<tr class="separator:a12f2724f354977c15fe8b29af099484b"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a3bee3b5df6f471d9fa3a6546c5a4c523"><td class="memItemLeft" align="right" valign="top">const Kernel::FT & </td><td class="memItemRight" valign="bottom"><a class="el" href="classCGAL_1_1Circle__2.html#a3bee3b5df6f471d9fa3a6546c5a4c523">squared_radius</a> () const</td></tr>
<tr class="memdesc:a3bee3b5df6f471d9fa3a6546c5a4c523"><td class="mdescLeft"> </td><td class="mdescRight">returns the squared radius of <code>c</code>. <br></td></tr>
<tr class="separator:a3bee3b5df6f471d9fa3a6546c5a4c523"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a6cfaae0dc899fa0b53268b15a169b775"><td class="memItemLeft" align="right" valign="top"><a class="el" href="group__kernel__enums.html#ga59bee58a806ccde81562ea315ff75525">Orientation</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classCGAL_1_1Circle__2.html#a6cfaae0dc899fa0b53268b15a169b775">orientation</a> () const</td></tr>
<tr class="memdesc:a6cfaae0dc899fa0b53268b15a169b775"><td class="mdescLeft"> </td><td class="mdescRight">returns the orientation of <code>c</code>. <br></td></tr>
<tr class="separator:a6cfaae0dc899fa0b53268b15a169b775"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a206d0b170681f478df9dcb268f120162"><td class="memItemLeft" align="right" valign="top"><a id="a206d0b170681f478df9dcb268f120162" name="a206d0b170681f478df9dcb268f120162"></a>
bool </td><td class="memItemRight" valign="bottom"><b>operator==</b> (const <a class="el" href="classCGAL_1_1Circle__2.html">Circle_2</a>< <a class="el" href="classKernel.html">Kernel</a> > &circle2) const</td></tr>
<tr class="memdesc:a206d0b170681f478df9dcb268f120162"><td class="mdescLeft"> </td><td class="mdescRight">returns <code>true</code>, iff <code>c</code> and <code>circle2</code> are equal, i.e. if they have the same center, same squared radius and same orientation. <br></td></tr>
<tr class="separator:a206d0b170681f478df9dcb268f120162"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a76ac2fdf5766bc7e581b31d839a9bf20"><td class="memItemLeft" align="right" valign="top"><a id="a76ac2fdf5766bc7e581b31d839a9bf20" name="a76ac2fdf5766bc7e581b31d839a9bf20"></a>
bool </td><td class="memItemRight" valign="bottom"><b>operator!=</b> (const <a class="el" href="classCGAL_1_1Circle__2.html">Circle_2</a>< <a class="el" href="classKernel.html">Kernel</a> > &circle2) const</td></tr>
<tr class="memdesc:a76ac2fdf5766bc7e581b31d839a9bf20"><td class="mdescLeft"> </td><td class="mdescRight">returns <code>true</code>, iff <code>c</code> and <code>circle2</code> are not equal. <br></td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader">Predicates</h2></td></tr>
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bool </td><td class="memItemRight" valign="bottom"><b>is_degenerate</b> () const</td></tr>
<tr class="memdesc:afc1572cabcd6189ef105911b728708b8"><td class="mdescLeft"> </td><td class="mdescRight">returns <code>true</code>, iff <code>c</code> is degenerate, i.e. if <code>c</code> has squared radius zero. <br></td></tr>
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<a class="el" href="group__kernel__enums.html#ga5006dd2552d97fa577d81bd819c0f979">Oriented_side</a> </td><td class="memItemRight" valign="bottom"><b>oriented_side</b> (const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > &p) const</td></tr>
<tr class="memdesc:a54e05146199d9b0472d92a39b10d4835"><td class="mdescLeft"> </td><td class="mdescRight">returns either the constant <a class="el" href="group__kernel__enums.html#gga5006dd2552d97fa577d81bd819c0f979a45220491cf36139beffd09434aa31256">ON_ORIENTED_BOUNDARY</a>, <a class="el" href="group__kernel__enums.html#gga5006dd2552d97fa577d81bd819c0f979aec3846b620579589dcc30c8fe71cc7f0">ON_POSITIVE_SIDE</a>, or <a class="el" href="group__kernel__enums.html#gga5006dd2552d97fa577d81bd819c0f979ab906419672c7ae509b5e63158479ed85">ON_NEGATIVE_SIDE</a>, iff <code>p</code> lies on the boundary, properly on the positive side, or properly on the negative side of <code>c</code>, resp. <br></td></tr>
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<a class="el" href="group__kernel__enums.html#gaf6030e89dadcc1f45369b0cdc5d9e111">Bounded_side</a> </td><td class="memItemRight" valign="bottom"><b>bounded_side</b> (const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > &p) const</td></tr>
<tr class="memdesc:a37424719cfaa243d2841dcea46fa8bef"><td class="mdescLeft"> </td><td class="mdescRight">returns <a class="el" href="group__kernel__enums.html#ggaf6030e89dadcc1f45369b0cdc5d9e111ad8333d35d4801c08b3a5ae9e94d7cabe">ON_BOUNDED_SIDE</a>, <a class="el" href="group__kernel__enums.html#ggaf6030e89dadcc1f45369b0cdc5d9e111a060193157c0875fb2e6445a648f3ac1f">ON_BOUNDARY</a>, or <a class="el" href="group__kernel__enums.html#ggaf6030e89dadcc1f45369b0cdc5d9e111a3a96e6da84164cc8300c9e130be23f71">ON_UNBOUNDED_SIDE</a> iff <code>p</code> lies properly inside, on the boundary, or properly outside of <code>c</code>, resp. <br></td></tr>
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bool </td><td class="memItemRight" valign="bottom"><b>has_on_positive_side</b> (const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > &p) const</td></tr>
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bool </td><td class="memItemRight" valign="bottom"><b>has_on_negative_side</b> (const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > &p) const</td></tr>
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bool </td><td class="memItemRight" valign="bottom"><b>has_on_boundary</b> (const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > &p) const</td></tr>
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bool </td><td class="memItemRight" valign="bottom"><b>has_on_bounded_side</b> (const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > &p) const</td></tr>
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bool </td><td class="memItemRight" valign="bottom"><b>has_on_unbounded_side</b> (const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > &p) const</td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader">Miscellaneous</h2></td></tr>
<tr class="memitem:ab41e6aeba289475ccf0aeab5c91de201"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classCGAL_1_1Circle__2.html">Circle_2</a>< <a class="el" href="classKernel.html">Kernel</a> > </td><td class="memItemRight" valign="bottom"><a class="el" href="classCGAL_1_1Circle__2.html#ab41e6aeba289475ccf0aeab5c91de201">opposite</a> () const</td></tr>
<tr class="memdesc:ab41e6aeba289475ccf0aeab5c91de201"><td class="mdescLeft"> </td><td class="mdescRight">returns the circle with the same center and squared radius as <code>c</code> but with opposite orientation. <br></td></tr>
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<tr class="memitem:a9c0b7562b2ad7884a3cf4eac758633d6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classCGAL_1_1Circle__2.html">Circle_2</a>< <a class="el" href="classKernel.html">Kernel</a> > </td><td class="memItemRight" valign="bottom"><a class="el" href="classCGAL_1_1Circle__2.html#a9c0b7562b2ad7884a3cf4eac758633d6">orthogonal_transform</a> (<a class="el" href="classCGAL_1_1Aff__transformation__2.html">Aff_transformation_2</a>< <a class="el" href="classKernel.html">Kernel</a> > const &at) const</td></tr>
<tr class="memdesc:a9c0b7562b2ad7884a3cf4eac758633d6"><td class="mdescLeft"> </td><td class="mdescRight">returns the circle obtained by applying \( at\) on <code>c</code>. <br></td></tr>
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<a class="el" href="classCGAL_1_1Bbox__2.html">Bbox_2</a> </td><td class="memItemRight" valign="bottom"><b>bbox</b> () const</td></tr>
<tr class="memdesc:ab75edddb7938c9780e2865b8340d154a"><td class="mdescLeft"> </td><td class="mdescRight">returns a bounding box containing <code>c</code>. <br></td></tr>
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<h2 class="groupheader">Constructor & Destructor Documentation</h2>
<a id="aa4288248fd220340df32bf677b243a87" name="aa4288248fd220340df32bf677b243a87"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa4288248fd220340df32bf677b243a87">◆ </a></span>Circle_2() <span class="overload">[1/4]</span></h2>
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template<typename <a class="el" href="classKernel.html">Kernel</a> > </div>
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<td class="memname"><a class="el" href="classCGAL_1_1Circle__2.html">CGAL::Circle_2</a>< <a class="el" href="classKernel.html">Kernel</a> >::Circle_2 </td>
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<td class="paramtype">const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > & </td>
<td class="paramname"><em>center</em>, </td>
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<td class="paramtype">const Kernel::FT & </td>
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<td class="paramtype">const <a class="el" href="group__kernel__enums.html#ga59bee58a806ccde81562ea315ff75525">Orientation</a> & </td>
<td class="paramname"><em>ori</em> = <code><a class="el" href="group__kernel__enums.html#ga39fcfbab0b0f0ce9139ad1613e21d60d">COUNTERCLOCKWISE</a></code> </td>
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<p>introduces a variable <code>c</code> of type <code><a class="el" href="classCGAL_1_1Circle__2.html" title="An object c of type Circle_2 is a circle in the two-dimensional Euclidean plane .">Circle_2</a></code>. </p>
<p>It is initialized to the circle with center <code>center</code>, squared radius <code>squared_radius</code> and orientation <code>ori</code>. </p><dl class="section pre"><dt>Precondition</dt><dd><code>ori != COLLINEAR</code> and <code>squared_radius >= 0</code>.</dd></dl>
<dl class="section note">
<dt>Exactness</dt>
<dd>This construction is trivial and therefore always exact in <code><a class="el" href="classCGAL_1_1Exact__predicates__inexact__constructions__kernel.html" title="A typedef to a kernel that has the following properties:">Exact_predicates_inexact_constructions_kernel</a></code>.</dd>
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<h2 class="memtitle"><span class="permalink"><a href="#a0224ebf5bbcd2992731a077d95d09b27">◆ </a></span>Circle_2() <span class="overload">[2/4]</span></h2>
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template<typename <a class="el" href="classKernel.html">Kernel</a> > </div>
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<td class="memname"><a class="el" href="classCGAL_1_1Circle__2.html">CGAL::Circle_2</a>< <a class="el" href="classKernel.html">Kernel</a> >::Circle_2 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > & </td>
<td class="paramname"><em>p</em>, </td>
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<td class="paramtype">const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > & </td>
<td class="paramname"><em>q</em>, </td>
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<td class="paramtype">const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > & </td>
<td class="paramname"><em>r</em> </td>
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<p>introduces a variable <code>c</code> of type <code><a class="el" href="classCGAL_1_1Circle__2.html" title="An object c of type Circle_2 is a circle in the two-dimensional Euclidean plane .">Circle_2</a></code>. </p>
<p>It is initialized to the unique circle which passes through the points <code>p</code>, <code>q</code> and <code>r</code>. The orientation of the circle is the orientation of the point triple <code>p</code>, <code>q</code>, <code>r</code>. </p><dl class="section pre"><dt>Precondition</dt><dd><code>p</code>, <code>q</code>, and <code>r</code> are not collinear. </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a54b545c955b2c19dd0cacd0aaa59a46b">◆ </a></span>Circle_2() <span class="overload">[3/4]</span></h2>
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template<typename <a class="el" href="classKernel.html">Kernel</a> > </div>
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<td class="memname"><a class="el" href="classCGAL_1_1Circle__2.html">CGAL::Circle_2</a>< <a class="el" href="classKernel.html">Kernel</a> >::Circle_2 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > & </td>
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<td class="paramtype">const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > & </td>
<td class="paramname"><em>q</em>, </td>
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<td class="paramtype">const <a class="el" href="group__kernel__enums.html#ga59bee58a806ccde81562ea315ff75525">Orientation</a> & </td>
<td class="paramname"><em>ori</em> = <code><a class="el" href="group__kernel__enums.html#ga39fcfbab0b0f0ce9139ad1613e21d60d">COUNTERCLOCKWISE</a></code> </td>
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<p>introduces a variable <code>c</code> of type <code><a class="el" href="classCGAL_1_1Circle__2.html" title="An object c of type Circle_2 is a circle in the two-dimensional Euclidean plane .">Circle_2</a></code>. </p>
<p>It is initialized to the circle with diameter \( \overline{pq}\) and orientation <code>ori</code>. </p><dl class="section pre"><dt>Precondition</dt><dd><code>ori != COLLINEAR</code>. </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a029d79198da34c791b978e40b492f4e9">◆ </a></span>Circle_2() <span class="overload">[4/4]</span></h2>
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template<typename <a class="el" href="classKernel.html">Kernel</a> > </div>
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<td class="memname"><a class="el" href="classCGAL_1_1Circle__2.html">CGAL::Circle_2</a>< <a class="el" href="classKernel.html">Kernel</a> >::Circle_2 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > & </td>
<td class="paramname"><em>center</em>, </td>
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<td class="paramtype">const <a class="el" href="group__kernel__enums.html#ga59bee58a806ccde81562ea315ff75525">Orientation</a> & </td>
<td class="paramname"><em>ori</em> = <code><a class="el" href="group__kernel__enums.html#ga39fcfbab0b0f0ce9139ad1613e21d60d">COUNTERCLOCKWISE</a></code> </td>
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<p>introduces a variable <code>c</code> of type <code><a class="el" href="classCGAL_1_1Circle__2.html" title="An object c of type Circle_2 is a circle in the two-dimensional Euclidean plane .">Circle_2</a></code>. </p>
<p>It is initialized to the circle with center <code>center</code>, squared radius zero and orientation <code>ori</code>. </p><dl class="section pre"><dt>Precondition</dt><dd><code>ori != COLLINEAR</code>. </dd></dl>
<dl class="section post"><dt>Postcondition</dt><dd><code>c.is_degenerate()</code> = <code>true</code>.</dd></dl>
<dl class="section note">
<dt>Exactness</dt>
<dd>This construction is trivial and therefore always exact in <code><a class="el" href="classCGAL_1_1Exact__predicates__inexact__constructions__kernel.html" title="A typedef to a kernel that has the following properties:">Exact_predicates_inexact_constructions_kernel</a></code>.</dd>
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<h2 class="groupheader">Member Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a12f2724f354977c15fe8b29af099484b">◆ </a></span>center()</h2>
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<td class="memname">const <a class="el" href="classCGAL_1_1Point__2.html">Point_2</a>< <a class="el" href="classKernel.html">Kernel</a> > & <a class="el" href="classCGAL_1_1Circle__2.html">CGAL::Circle_2</a>< <a class="el" href="classKernel.html">Kernel</a> >::center </td>
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<p>returns the center of <code>c</code>. </p>
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<dt>Exactness</dt>
<dd>This construction is trivial and therefore always exact in <code><a class="el" href="classCGAL_1_1Exact__predicates__inexact__constructions__kernel.html" title="A typedef to a kernel that has the following properties:">Exact_predicates_inexact_constructions_kernel</a></code>.</dd>
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<h2 class="memtitle"><span class="permalink"><a href="#ab41e6aeba289475ccf0aeab5c91de201">◆ </a></span>opposite()</h2>
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<td class="memname"><a class="el" href="classCGAL_1_1Circle__2.html">Circle_2</a>< <a class="el" href="classKernel.html">Kernel</a> > <a class="el" href="classCGAL_1_1Circle__2.html">CGAL::Circle_2</a>< <a class="el" href="classKernel.html">Kernel</a> >::opposite </td>
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<p>returns the circle with the same center and squared radius as <code>c</code> but with opposite orientation. </p>
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<dt>Exactness</dt>
<dd>This construction is trivial and therefore always exact in <code><a class="el" href="classCGAL_1_1Exact__predicates__inexact__constructions__kernel.html" title="A typedef to a kernel that has the following properties:">Exact_predicates_inexact_constructions_kernel</a></code>.</dd>
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<h2 class="memtitle"><span class="permalink"><a href="#a6cfaae0dc899fa0b53268b15a169b775">◆ </a></span>orientation()</h2>
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template<typename <a class="el" href="classKernel.html">Kernel</a> > </div>
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<td class="memname"><a class="el" href="group__kernel__enums.html#ga59bee58a806ccde81562ea315ff75525">Orientation</a> <a class="el" href="classCGAL_1_1Circle__2.html">CGAL::Circle_2</a>< <a class="el" href="classKernel.html">Kernel</a> >::orientation </td>
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<p>returns the orientation of <code>c</code>. </p>
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<dt>Exactness</dt>
<dd>This construction is trivial and therefore always exact in <code><a class="el" href="classCGAL_1_1Exact__predicates__inexact__constructions__kernel.html" title="A typedef to a kernel that has the following properties:">Exact_predicates_inexact_constructions_kernel</a></code>.</dd>
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<h2 class="memtitle"><span class="permalink"><a href="#a9c0b7562b2ad7884a3cf4eac758633d6">◆ </a></span>orthogonal_transform()</h2>
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<td class="memname"><a class="el" href="classCGAL_1_1Circle__2.html">Circle_2</a>< <a class="el" href="classKernel.html">Kernel</a> > <a class="el" href="classCGAL_1_1Circle__2.html">CGAL::Circle_2</a>< <a class="el" href="classKernel.html">Kernel</a> >::orthogonal_transform </td>
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<p>returns the circle obtained by applying \( at\) on <code>c</code>. </p>
<dl class="section pre"><dt>Precondition</dt><dd><code>at</code> is an orthogonal transformation. </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a3bee3b5df6f471d9fa3a6546c5a4c523">◆ </a></span>squared_radius()</h2>
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<td class="memname">const Kernel::FT & <a class="el" href="classCGAL_1_1Circle__2.html">CGAL::Circle_2</a>< <a class="el" href="classKernel.html">Kernel</a> >::squared_radius </td>
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<p>returns the squared radius of <code>c</code>. </p>
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<dt>Exactness</dt>
<dd>This construction is trivial and therefore always exact in <code><a class="el" href="classCGAL_1_1Exact__predicates__inexact__constructions__kernel.html" title="A typedef to a kernel that has the following properties:">Exact_predicates_inexact_constructions_kernel</a></code>.</dd>
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