How is a plane described in mathmatics?
a plane is a flat, two-dimensional surface that extends infinitely far
Who set fourth the first great landmark of mathmatical thought?
Euclid
What was it?
an axiomatic treatment of geometry
In what aspects of mathematics are performed in two-dimensional space in other words in the plane?
geometry, trigonometry, graph theory, and graphing are performed in a two-dimensional space, or, in other words
Did Euclid ever use numbers to measure length, angle or area?
No
Is that the same as a Cartesian plane?
no
How can a plane arise?
as subspaces of some higher-dimensional space
What article is used when working exclusivley in two-dimensionial Euclidean space?
the definite article is used
Then what does the plane refer to?
the whole space
What did Euclid use to prove various geometric statements?
He selected a small core of undefined terms (called "common notions") and postulates (or axioms)