• Thumbnail for Desargues's theorem
    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
  • Thumbnail for Girard Desargues
    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
  • Thumbnail for Desargues configuration
    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
  • Thumbnail for Projective 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
  • Thumbnail for Pascal's theorem
    many interesting figures on parabolas and hyperbolas. Desargues's theorem Brianchon's theorem Unicursal hexagram Pascal 1640, translation Smith 1959...
    17 KB (2,193 words) - 00:12, 23 June 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...
    30 KB (3,641 words) - 01:24, 25 February 2024
  • Thumbnail for Projective space
    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
  • Thumbnail for Pappus's hexagon theorem
    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
  • Thumbnail for Projective geometry
    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