In geometry, Brocard points are special points within a triangle. They are named after Henri Brocard (1845–1922), a French mathematician. In a triangle...
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Triangle center (section Brocard points)
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...
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invention and discovery of the properties of the Brocard points, the Brocard circle, and the Brocard triangle, all bearing his name. Contemporary mathematician...
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Brocard can refer to: Brocard (law) Henri Brocard, a nineteenth-century mathematician, and these geometrical entities he discovered: Brocard points Brocard...
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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...
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Cubic plane curve (section 1st Brocard cubic)
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...
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Modern triangle geometry (section The Brocard points)
C . {\displaystyle \cot \omega =\cot A+\cot B+\cot C.} The Brocard points and the Brocard angles have several interesting properties. Two poristic triangles...
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(1845–1922) Max Noether (1844–1921) – algebraic geometry Henri Brocard (1845–1922) – Brocard points William Kingdon Clifford (1845–1879) – geometric algebra...
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(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...
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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...
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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...
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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...
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triangle. This strict definition excludes pairs of bicentric points such as the Brocard points (which are interchanged by a mirror-image reflection). As...
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constant e is a transcendental number Henri Brocard introduces the Brocard points, Brocard triangle and Brocard circle September 15 – agreement for establishment...
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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...
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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...
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Degree (angle) Gon (angle) (aka Grad, Gradian) Radian Turn (angle) Brocard points Chord (geometry) Circle (also see List of circle topics) Unit circle...
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to its corresponding Brocard point and the other two points constructed using different combinations of vertices and Brocard points. This triangle is also...
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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...
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coordinates (mathematics) Bernoulli's quadrisection problem Brocard circle Brocard points Brocard triangle Carnot's theorem (conics) Carnot's theorem (inradius...
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Collinearity (redirect from Collinear points)
and the Spieker circle's center are collinear. The circumcenter, the Brocard midpoint, and the Lemoine point of a triangle are collinear. Two perpendicular...
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Mathematics archive. "Biot biography". MacTutor History of Mathematics archive. "Brocard biography". MacTutor History of Mathematics archive. "Carnot Sadi biography"...
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orthocenter, and centroid) the book covers other centers including the Brocard points, Fermat point, Gergonne point, and other geometric objects associated...
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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...
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Central line (geometry) (redirect from Brocard axis)
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...
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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...
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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...
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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...
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" with points (periods); Fowler's Modern English Usage takes the same approach, and its newest edition is especially emphatic about the points being retained...
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triangle perpendicular to the corresponding sides of the triangle's first Brocard triangle. The Schiffler point of a triangle is the point of concurrence...
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