In projective geometry, Desargues's theorem, named after Girard Desargues, states: Two triangles are in perspective axially if and only if they are in...
16 KB (1,778 words) - 02:07, 29 March 2023
projective geometry. Desargues' theorem, the Desargues graph, and the crater Desargues on the Moon are named in his honour. Born in Lyon, Desargues came from a...
6 KB (630 words) - 07:49, 21 August 2024
Girard Desargues. The Desargues configuration can be constructed in two dimensions from the points and lines occurring in Desargues's theorem, in three...
12 KB (1,485 words) - 19:06, 12 October 2024
Projective plane (redirect from Desargues plane)
spaces; such embeddability is a consequence of a property known as Desargues' theorem, not shared by all projective planes. A projective plane consists...
51 KB (6,625 words) - 23:21, 9 September 2024
theorem (functional analysis) Desargues's theorem (projective geometry) Descartes's theorem (plane geometry) Descartes's theorem on total angular defect (polyhedra)...
73 KB (6,015 words) - 12:17, 2 August 2024
many interesting figures on parabolas and hyperbolas. Desargues's theorem Brianchon's theorem Unicursal hexagram Pascal 1640, translation Smith 1959...
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Homography (redirect from Fundamental theorem of projective geometry)
over a (commutative) field. Equivalently Pappus's hexagon theorem and Desargues's theorem are supposed to be true. A large part of the results remain...
30 KB (3,641 words) - 01:24, 25 February 2024
over a (commutative) field. Equivalently Pappus's hexagon theorem and Desargues's theorem are supposed to be true. A large part of the results remain...
37 KB (5,670 words) - 12:20, 2 September 2024
mathematician Gerhard Hessenberg proved that Pappus's theorem implies Desargues's theorem. In general, Pappus's theorem holds for some projective plane if and only...
17 KB (2,865 words) - 15:53, 3 April 2024
geometric system. Desargues's study on conic sections drew the attention of 16-year-old Blaise Pascal and helped him formulate Pascal's theorem. The works of...
39 KB (5,099 words) - 01:24, 8 October 2024