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2. Special right triangle - Wikipedia

   en.wikipedia.org/wiki/Special_right_triangle

   Set square shaped as 45° - 45° - 90° triangle The side lengths of a 45° - 45° - 90° triangle 45° - 45° - 90° right triangle of hypotenuse length 1.. In plane geometry, dividing a square along its diagonal results in two isosceles right triangles, each with one right angle (90°, ⁠ π / 2 ⁠ radians) and two other congruent angles each measuring half of a right angle (45°, or ...

3. Desargues's theorem - Wikipedia

   en.wikipedia.org/wiki/Desargues's_theorem

   Under the standard duality of plane projective geometry (where points correspond to lines and collinearity of points corresponds to concurrency of lines), the statement of Desargues's theorem is self-dual: axial perspectivity is translated into central perspectivity and vice versa. The Desargues configuration (below) is a self-dual configuration.

4. List of theorems - Wikipedia

   en.wikipedia.org/wiki/List_of_theorems

   Cramer's theorem (algebraic curves) (analytic geometry) Cramér–Wold theorem (measure theory) Critical line theorem (number theory) Crooks fluctuation theorem ; Crossbar theorem (Euclidean plane geometry) Crystallographic restriction theorem (group theory, crystallography) Curtis–Hedlund–Lyndon theorem (cellular automata)

5. Plane (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Plane_(mathematics)

   In mathematics, a plane is a two-dimensional space or flat surface that extends indefinitely. A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space. When working exclusively in two-dimensional Euclidean space, the definite article is used, so the Euclidean plane refers to the ...

6. Category:Planes (geometry) - Wikipedia

   en.wikipedia.org/wiki/Category:Planes_(geometry)

   Euclidean plane geometry (11 C, 96 P) G. Planar graphs (1 C, 88 P) T. ... Pages in category "Planes (geometry)" The following 51 pages are in this category, out of 51 ...

7. Euclidean planes in three-dimensional space - Wikipedia

   en.wikipedia.org/wiki/Euclidean_planes_in_three...

   A plane segment or planar region (or simply "plane", in lay use) is a planar surface region; it is analogous to a line segment. A bivector is an oriented plane segment, analogous to directed line segments. [a] A face is a plane segment bounding a solid object. [1] A slab is a region bounded by two parallel planes.