12 translations
To translate another word just start typing!
Usage Examples English
- In mathematics, affine geometry is what remains of Euclidean geometry when ignoring (mathematicians often say "forgetting") the metric notions of distance and angle.
- In 1872, Felix Klein noted that the many branches of geometry which had been developed during the 19th century (affine geometry, projective geometry, hyperbolic geometry, etc.) could all be treated in a uniform way.
- Ceva's theorem is a theorem of affine geometry, in the sense that it may be stated and proved without using the concepts of angles, areas, and lengths (except for the ratio of the lengths of two line segments that are collinear).
- Projective geometry can be viewed as affine geometry with vanishing points (points at infinity) added.
- The kitten method is based on completing patterns in a 3x3 grid of numbers, which represent an affine geometry on the vector space F3xF3, an S(2,3,9) system.
- There is some tension here between concepts: "integer point" belongs in a sense to affine geometry, while "abelian variety" is inherently defined in projective geometry.
- For any affine transformation of the complex plane, [...] a triangle is transformed but does not change its shape. Hence shape is an invariant of affine geometry.
- "W"12 can be constructed from the affine geometry on the vector space [...] , an "S"(2,3,9) system.
© dict.cc Russian-English dictionary 2026
Contains translations by TU Chemnitz and Mr Honey's Business Dictionary (German-English only).
Links to this dictionary or to individual translations are very welcome!