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...

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...

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

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

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...

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...

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

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...

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...

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...

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

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

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...

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...

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

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

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

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...

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

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

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

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...

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...

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...

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...

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

" with points (periods); Fowler's Modern English Usage takes the same approach, and its newest edition is especially emphatic about the points being retained...