English Dictionary

affine geometry

名詞

不可算名詞 可算名詞

(geometry, uncountable) The branch of geometry dealing with what can be deduced in Euclidean geometry when the notions of line length and angle size are ignored.

日本語の意味

アフィン幾何学：ユークリッド幾何学における線分の長さや角度の概念を無視した場合に導かれる性質や構造を扱う幾何学の分野

Affine geometry reveals which properties of a figure remain invariant under parallel projection.

アフィン幾何学は、平行射影の下で図形のどの性質が不変であるかを明らかにする。

意味（1）

(geometry, uncountable) The branch of geometry dealing with what can be deduced in Euclidean geometry when the notions of line length and angle size are ignored.

As an alternative to the axiomatic approach, affine geometry can be studied via the properties of affine transformations, which do not, in general, preserve distances or angles, but do preserve alignment of points and parallelism of lines.

意味（2）

(countable) A geometry that is otherwise Euclidean but disregards lengths and angle sizes.

This chapter is devoted to the theory of affine geometries: those incidence geometries which satisfy the Euclidean parallel postulate in Playfair's form (Ch. 2, Sec. 2).

affine geometries （ plural ）