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...all Euclidean planes are mutually isomorphic. In this sense we have "the" Euclidean plane. In terms of Bourbaki, the plane ...Euclidean geometry should prove all geometric statements that hold on the Euclidean plane, and only such statements. Similarly, arithmetics of natural numbers should

..., the set of orientation-preserving [[continuous]] transformations of the Euclidean plane <math>\mathbb{R}^2</math> that take lines to lines and preserve angles can

All triangles are taken to exist in the [[Euclidean plane]] so that the inside angles of each triangle sum to π [[radian]]s (or 180[

...ematics around age twelve; in 1891, he taught himself [[Euclidean geometry|Euclidean plane geometry]] from a school booklet and began to study [[calculus]] soon after