De Longchamps point

De Longchamps point

In geometry, the de Longchamps point of a triangle is the reflection of its orthocenter about its circumcenter.Weisstein, Eric W. "de Longchamps Point." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/deLongchampsPoint.html] It is listed as "X"(20) in the Encyclopedia of Triangle Centers. Its trilinear coordinates are:displaystylecos A - cos B cos C : cos B - cos C cos A : cos C - cos A cos B

The point is collinear with the orthocenter and circumcenter.mathworld|urlname=deLongchampsPoint|title=de Longchamps Point]

ee also

*Circumcircle
*Excircle
*Incircle

Notes


Wikimedia Foundation. 2010.

Игры ⚽ Поможем решить контрольную работу

Look at other dictionaries:

  • de Longchamps point — The orthocenter H reflected about the circumcenter O gives the de Longchamps point L. In geometry, the de Longchamps point of a triangle is the reflection of its orthocenter about its circumcenter.[1] It is listed as X(20) in …   Wikipedia

  • Longchamps (Aisne) — Vadencourt (Aisne) Vadencourt Église de Vadencourt Administration Pays France Région Picardie Département …   Wikipédia en Français

  • Cubic plane curve — A selection of cubic curves. See information page for details. Cubic curve redirects here. For information on polynomial functions of degree 3, see Cubic function. In mathematics, a cubic plane curve is a plane algebraic curve C defined by a… …   Wikipedia

  • Euler line — In geometry, the Euler line, named after Leonhard Euler, is a line determined from any triangle that is not equilateral; it passes through several important points determined from the triangle. In the image, the Euler line is shown in red. It… …   Wikipedia

  • Trilinear coordinates — In geometry, the trilinear coordinates of a point relative to a given triangle describe the relative distances from the three sides of the triangle. Trilinear coordinates are an example of homogeneous coordinates. They are often called simply… …   Wikipedia

  • List of triangle topics — This list of triangle topics includes things related to the geometric shape, either abstractly, as in idealizations studied by geometers, or in triangular arrays such as Pascal s triangle or triangular matrices, or concretely in physical space.… …   Wikipedia

  • GEOS circle — In geometry, the GEOS circle is derived from the intersection of four lines that are associated with a generalized triangle: the Euler line, the Soddy line, the orthic axis and the Gergonne line. Note that the Euler line is orthogonal to the… …   Wikipedia

  • List of mathematics articles (D) — NOTOC D D distribution D module D D Agostino s K squared test D Alembert Euler condition D Alembert operator D Alembert s formula D Alembert s paradox D Alembert s principle Dagger category Dagger compact category Dagger symmetric monoidal… …   Wikipedia

  • Waremme — 50°41′52″N 5°15′18″E / 50.69778, 5.255 …   Wikipédia en Français

  • Borgworm — Waremme 50°41′52″N 5°15′18″E / 50.69778, 5.255 …   Wikipédia en Français

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”