In geometry, Brianchon's theorem is a theorem stating that when a hexagon is circumscribed around a conic section, its principal diagonals (those connecting...

Brianchon's theorem (1810). Brianchon's book Mémoire sur les lignes du second ordre (Paris, 1817) is available online [1]. Brianchon's Theorem O'Connor, John J.;...

Pascal line of the hexagon). Pascal's theorem is the polar reciprocal and projective dual of Brianchon's theorem. It was formulated by Blaise Pascal in...

Beckman–Quarles theorem (Euclidean geometry) Beer's theorem (metric geometry) Brahmagupta theorem (Euclidean geometry) Brianchon's theorem (conics) British...

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

be a hexagon formed by six tangent lines of a conic section. Then Brianchon's theorem states that the three main diagonals AD, BE, and CF intersect at...

the dual polyhedron. Another example is Brianchon's theorem, the dual of the already mentioned Pascal's theorem, and one of whose proofs simply consists...

Historically, advanced Euclidean geometry, including theorems like Pascal's theorem and Brianchon's theorem, was integral to drafting practices. However, with...

theorem was not discovered until 1974 (by Evelyn, Money-Coutts, and Tyrrell). Brianchon's theorem Cundy, H. Martyn (1978). "The seven-circles theorem"...

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

by Brianchon's theorem its principal diagonals are concurrent (as in the above image). Concurrent lines arise in the dual of Pappus's hexagon theorem. For...

of projective spaces Rational normal curve Conics, Pascal's theorem, Brianchon's theorem Twisted cubic Elliptic curve, cubic curve Elliptic function,...

ABC. It can be shown that these three lines meet at a point using Brianchon's theorem. Line AA' is a symmedian, as can be seen by drawing the circle with...

Lytta vesicatoria (Spanish fly) in Paris. Charles Julien Brianchon proves Brianchon's theorem. John Haslam, resident apothecary at Bethlem Hospital in...

ABCDEF, the main diagonals AD, BE, and CF are concurrent according to Brianchon's theorem. Circumgon Owen Byer, Felix Lazebnik and Deirdre Smeltzer, Methods...

concurrent.: p.11  One way to see this is as a limiting case of Brianchon's theorem, which states that a hexagon all of whose sides are tangent to a...

early collaboration with Charles Julien Brianchon provided a significant contribution to Feuerbach's theorem. He also made discoveries about projective...

In geometry, the Gram–Euler theorem, Gram-Sommerville, Brianchon-Gram or Gram relation (named after Jørgen Pedersen Gram, Leonhard Euler, Duncan Sommerville...

(At a slightly earlier date, Charles Brianchon and Jean-Victor Poncelet had stated and proven the same theorem.) But soon after Feuerbach, mathematician...

on the properties of the trapezium, Pascal's hexagramme mystique, Brianchon's theorem, symmetrical properties of plane triangles, and researches into the...

Notable Points. Eric W. Weisstein. "Orthocenter", "Feuerbach's Theorem", "Feuerbach's Conic Theorem", "Feuerbach Hyperbola", "Jerabek Hyperbola", "Kiepert Hyperbola"...

theorem in the plane connecting points and lines corresponds to another theorem in which points and lines are interchanged, provided that the theorem...

extremely simple proofs of the properties of a conic...the theorems of Chasles, Brianchon, and Pascal ..." In a finite geometry PG(3, q), a regulus has...

JSTOR 1968298, MR 1502899 Weddle, Thomas (1850), "On the theorems in space analogous to those of Pascal and Brianchon in a plane.– Part II", Cambridge and Dublin Mathematical...

{OM}}+{\vec {f}}_{1}\cos \varphi +{\vec {f}}_{2}\sin \varphi \;.} The Brianchon point of the inellipse (common point K {\displaystyle K} of the lines...

configuration is a configuration of 10 lines and 10 points in Desargues' theorem. desmic system A desmic system is a configuration of three desmic tetrahedra...