Exmedian Point


Draw a triangle DeltaA_1A_2A_3, and let A_1^' be the intersection of the parallel to A_3A_1 through A_2 (the A_2-exmedian) and the parallel to A_1A_2 through A_3 (the A_3-exmedian). Then A_1^' is the A_1-exmedian point of the triangle DeltaA_1A_2A_3.

A triangle DeltaA_1A_2A_3 has three exmedian points. They are the vertices of the anticomplementary triangle of DeltaA_1A_2A_3.

See also

Anticomplementary Triangle, Exmedian

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Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA: Houghton Mifflin, p. 176, 1929.

Referenced on Wolfram|Alpha

Exmedian Point

Cite this as:

Weisstein, Eric W. "Exmedian Point." From MathWorld--A Wolfram Web Resource.

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