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De Longchamps point information


The de Longchamps point L of triangle ABC, formed as the reflection of the orthocenter H about the circumcenter O or as the orthocenter of the anticomplementary triangle A'B'C'

In geometry, the de Longchamps point of a triangle is a triangle center named after French mathematician Gaston Albert Gohierre de Longchamps. It is the reflection of the orthocenter of the triangle about the circumcenter.[1]

  1. ^ Kimberling, Clark, "X(20) = de Longchamps point", Encyclopedia of Triangle Centers.

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De Longchamps point

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geometry, the de Longchamps point of a triangle is a triangle center named after French mathematician Gaston Albert Gohierre de Longchamps. It is the reflection...

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of △ABC. The Bevan is point is also the midpoint of the line segment NL connecting the Nagel point N and the de Longchamps point L. The radius of the Bevan...

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point, the de Longchamps point, and the center of the nine-point circle are collinear, all falling on a line called the Euler line. The de Longchamps...

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cubic passes through the centroid, orthocenter, Gergonne point, Nagel point, de Longchamps point, other triangle centers, the vertices of the anticomplementary...

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points that lie on the Euler line include the de Longchamps point, the Schiffler point, the Exeter point, and the Gossard perspector. However, the incenter...

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Gaston Albert Gohierre de Longchamps

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Gaston Albert Gohierre de Longchamps (1 March 1842 – 9 July 1906) was a French mathematician. Gohierre de Longchamps was born on 1 March 1842 in Alençon...

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through an analog of the Gergonne point and the Eppstein points. The four Soddy lines concur at the de Longchamps point, the reflection of the orthocenter...

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vertex. A generalization of this notion is the Jacobi point. The de Longchamps point is the point of concurrence of several lines with the Euler line....

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Soddy line

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Soddy line intersects the Euler line in the de Longchamps point and the Gergonne line in the Fletcher point. It is also perpendicular to the Gergonne line...

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intersection of the Euler line with the Soddy line and is known as the de Longchamps point) and passes through these points as well as the two points of orthogonal...

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