Last Updated :2025/12/05

projective space

Noun
Japanese Meaning
射影空間: 幾何学において、点と直線の包含関係や交差関係(インシデンス関係)のみが重要視される空間。ここでは、距離や角度は無視され、平行性(アフィン空間における概念)も考慮されない。
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射影空間では、平行な直線が無限遠点で交わると見なされ、これは多くの古典的な議論を簡素化します。

plural

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(geometry) A kind of geometrical space in which only relation(s) of incidence between points and lines matter; in such a space distances or angles do not matter and parallelism (as in an affine space) does not matter either.

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projective space

In projective space, parallel lines are treated as if they meet at a point at infinity, which simplifies many classical arguments.

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In projective space, parallel lines are treated as if they meet at a point at infinity, which simplifies many classical arguments.

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