In projective geometry, Desargues's theorem, named after Girard Desargues, states: Two triangles are in perspective axially if and only if they are in...

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...

spaces; such embeddability is a consequence of a property known as Desargues' theorem, not shared by all projective planes. A projective plane is a rank...

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...

Girard Desargues. The Desargues configuration can be constructed in two dimensions from the points and lines occurring in Desargues's theorem, in three...

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...

satisfy Desargues' theorem (named after Girard Desargues), or in other words a plane that is not a Desarguesian plane. The theorem of Desargues is true...

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...

many interesting figures on parabolas and hyperbolas. Desargues's theorem Brianchon's theorem Unicursal hexagram Pascal 1640, translation Smith 1959...

De Bruijn–Erdős theorem (incidence geometry) De Gua's theorem (geometry) Desargues's theorem (projective geometry) Descartes's theorem (plane geometry)...

three dimensions. Monge's theorem can also be proved by using Desargues' theorem. Another easy proof uses Menelaus' theorem, since the ratios can be calculated...

The Desargues graph has one vertex for each point, one vertex for each line, and one edge for every incident point-line pair. Desargues' theorem, named...

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...

ABC\doublebarwedge abc} to indicate that triangles ABC and abc are perspective. Desargues' theorem states that a central couple of triangles is axial. The converse statement...

treatment of the geometries here possible seem to me desirable. Desargues's theorem: If two triangles lie on a plane such that the lines connecting corresponding...

According to Kahn's Theorem, it is fulfilled by "ovoidal" Möbius planes only; thus, it is the analog for Möbius planes of Desargues' Theorem for projective...

projective plane in which the little Desargues theorem holds. This theorem states that a restricted form of Desargues' theorem holds for every line in the plane...

like a "5"). Anamorphosis Curvilinear perspective Cutaway drawing Desargues's theorem Filmmaking Optical illusion Perspective control Perspective (graphical)...

Brianchon's theorem Ceva's theorem Desargues's theorem Menelaus's theorem Pascal's theorem Poncelet's closure theorem Ptolemy's theorem Apollonian circles...

have fixed points, so that the dual of A is A itself. For example, Desargues' theorem is self-dual in this sense under the standard duality in projective...

Desarguesian planes (those that are isomorphic with a PG(2, q)) satisfy Desargues's theorem and are projective planes over finite fields, but there are many...

theorem is not necessarily true in all projective geometries; it is a property that some geometries satisfy but others don't. For example, Desargues'...

spaces; such embeddability is a consequence of a property known as Desargues' theorem, not shared by all projective planes. In addition to its familiar...

section Crystal Cuisenaire rods Desargues' theorem Right circular cone Hyperboloid Napkin ring problem Pappus's centroid theorem Paraboloid Polyhedron Defect...

these are: Desargues' theorem ⇔ Converse of Desargues' theorem Pascal's theorem ⇔ Brianchon's theorem Menelaus' theorem ⇔ Ceva's theorem Not only statements...

geometry, the Moulton plane is an example of an affine plane in which Desargues's theorem does not hold. It is named after the American astronomer Forest Ray...

triangulation de Longchamps point Desargues' theorem Droz-Farny line theorem Encyclopedia of Triangle Centers Equal incircles theorem Equal parallelians point...

significant for projective planes due to the universal validity of Desargues' theorem in higher dimensions. In contrast, the analytic approach is to define...

in spirit to classical configuration theorems in projective geometry such as Pascal's theorem, Desargues's theorem and others. The iterates of the pentagram...

over the reals as ordered geometry together with an affine form of Desargues's theorem and an axiom stating that in a plane there is at most one line through...