笛沙格定理 Desargues's theorem
(重定向自Desargues Theorem)




笛沙格(Desargues)定理说明:在射影空间中,有六点A,B,C,a,b,c。Aa,Bb,Cc共点若且唯若AB∩ab,BC∩bc,CA∩ca共线。
在射影几何的对偶性来看,笛沙格定理是自对偶的。
单词 | Desargues Theorem |
释义 |
Desargues Theorem
中文百科
笛沙格定理 Desargues's theorem(重定向自Desargues Theorem)
![]() ![]() ![]() ![]() 笛沙格(Desargues)定理说明:在射影空间中,有六点A,B,C,a,b,c。Aa,Bb,Cc共点若且唯若AB∩ab,BC∩bc,CA∩ca共线。 在射影几何的对偶性来看,笛沙格定理是自对偶的。
英语百科
Desargues's theorem 笛沙格定理(重定向自Desargues Theorem)
![]() ![]() ![]() ![]() In projective geometry, Desargues's theorem, named after Girard Desargues, states: Denote the three vertices of one triangle by a, b and c, and those of the other by A, B and C. Axial perspectivity means that lines ab and AB meet in a point, lines ac and AC meet in a second point, and lines bc and BC meet in a third point, and that these three points all lie on a common line called the axis of perspectivity. Central perspectivity means that the three lines Aa, Bb and Cc are concurrent, at a point called the center of perspectivity. |
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