… Saying that point A is on line l is the same as saying that line l passes through point A, and in this case we say that point A is connected to line l . Connectivity is a projective property, and therefore the property that several points are connected to a line (collinearity) and the property that several lines are connected to a point (concentricity) are projective properties. And theorems that deal only with these properties, such as the following Desargues theorem, are theorems of projective geometry. … *Some of the terminology explanations that mention "concordance" are listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
… 点Aが直線l上にあるということと,直線lが点Aを通るということとは同内容であるが,このことを点Aは直線lと結合しているという。結合性は射影的性質で,したがっていくつかの点が1直線と結合しているという性質(共線性)や,いくつかの直線が1点と結合しているという性質(共点性)は射影的性質である。そして,これらの性質のみを扱った定理,例えば次のデザルグの定理は射影幾何学の定理である。… ※「共点性」について言及している用語解説の一部を掲載しています。 出典|株式会社平凡社世界大百科事典 第2版について | 情報 |
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