In geometry, Brocard points are special points within a triangle. They are named after Henri Brocard (1845–1922), a French mathematician. In a triangle...

property of a triangle center. It rules out other well-known points such as the Brocard points which are not invariant under reflection and so fail to qualify...

invention and discovery of the properties of the Brocard points, the Brocard circle, and the Brocard triangle, all bearing his name. Contemporary mathematician...

AB, respectively. The 1st Brocard cubic is the locus of X for which the points XA, XB, XC are collinear. The 1st Brocard cubic passes through the centroid...

medians. A triangle's circumcenter, its Lemoine point, and its first two Brocard points are concyclic, with the segment from the circumcenter to the Lemoine...

Brocard can refer to: Brocard (law) Henri Brocard, a nineteenth-century mathematician, and these geometrical entities he discovered: Brocard points Brocard...

C . {\displaystyle \cot \omega =\cot A+\cot B+\cot C.} The Brocard points and the Brocard angles have several interesting properties. Two poristic triangles...

(30 July 1912 – 2 April 2000), usually now known by his religious name Brocard Sewell, was a British Carmelite friar, priest and literary figure. He was...

sample space, or total set of possible outcomes. In triangle geometry, Brocard points In number theory, Ω(n) is the number of prime divisors of n (counting...

(1845–1922) Max Noether (1844–1921) – algebraic geometry Henri Brocard (1845–1922) – Brocard points William Kingdon Clifford (1845–1879) – geometric algebra...

A brocard is a legal maxim in Latin that is, in a strict sense, derived from traditional legal authorities, even from ancient Rome. According to the dictionaries...

triangle. This strict definition excludes pairs of bicentric points such as the Brocard points (which are interchanged by a mirror-image reflection). As...

K. The isogonal conjugates of the Fermat points are the isodynamic points and vice versa. The Brocard points are isogonal conjugates of each other. In...

The two Brocard points lie on this circle, as do the vertices of the Brocard triangle. These five points, together with the other two points on the circle...

constant e is a transcendental number Henri Brocard introduces the Brocard points, Brocard triangle and Brocard circle September 15 – agreement for establishment...

circumradius is at least twice the distance between the first and second Brocard points B1 and B2: R ≥ 2 B 1 B 2 . {\displaystyle R\geq 2B_{1}B_{2}.} For the...

orthocentroidal circle. The set of potential locations of one or the other of the Brocard points is also the open orthocentroidal disk. The square of the diameter of...

coordinates (mathematics) Bernoulli's quadrisection problem Brocard circle Brocard points Brocard triangle Carnot's theorem (conics) Carnot's theorem (inradius...

Degree (angle) Gon (angle) (aka Grad, Gradian) Radian Turn (angle) Brocard points Chord (geometry) Circle (also see List of circle topics) Unit circle...

and the Spieker circle's center are collinear. The circumcenter, the Brocard midpoint, and the Lemoine point of a triangle are collinear. Two perpendicular...

to its corresponding Brocard point and the other two points constructed using different combinations of vertices and Brocard points. This triangle is also...

orthocenter, and centroid) the book covers other centers including the Brocard points, Fermat point, Gergonne point, and other geometric objects associated...

Mathematics archive. "Biot biography". MacTutor History of Mathematics archive. "Brocard biography". MacTutor History of Mathematics archive. "Carnot Sadi biography"...

This is the central line associated with the triangle center X649. The Brocard axis of △ABC is the line through the circumcenter and the symmedian point...

Encyclopedia of Triangle Centers (ETC) is an online list of thousands of points or "centers" associated with the geometry of a triangle. This resource is...

8 (4): 137–148. 1902. doi:10.1090/s0002-9904-1902-00864-1. Brocard circle Brocard points Geometrography Nagel point Tarry point Lemoine's problem Modern...

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre. The distance between any point of...

D E F G H I J L M N O P Q R S T U V See also References External links Brocard (law) Byzantine law Code of Hammurabi Corpus Juris Canonici International...

the triangle at the midpoints of its sides, the Mandart inellipse and Brocard inellipse (see examples section). For any triangle there exist an infinite...

triangle perpendicular to the corresponding sides of the triangle's first Brocard triangle. The Schiffler point of a triangle is the point of concurrence...