De Longchamps point

The Longchamps - point (point of De Longchamps ), named after the French mathematician Gohierre de Longchamps (* 1842, † 1906), is among the excellent points of a triangle. It is defined as the mirror point ( L) of the height of the intersection point (H ) at the circumcenter (U).

Properties

  • The Longchamps Point lies on the Euler's line.
  • The Longchamps Point lies with the Gergonne point and the incenter on a straight line.

Coordinates

Triangle center Inscribed circle Trilinear coordinates
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