Chasles's Polars Theorem

If the trilinear polars of the polygon vertices of a triangle are distinct from the respectively opposite sides, they meet the sides in three collinear points.

See also

Chasles's Contact Theorem, Chasles's Polar Triangle Theorem, Chasles's Theorem Collinear, Triangle, Trilinear Polar

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Altshiller-Court, N. College Geometry: A Second Course in Plane Geometry for Colleges and Normal Schools, 2nd ed., rev. enl. New York: Barnes and Noble, p. 244, 1952.Johnson, R. A. Modern Geometry: An Elementary Treatise on the Geometry of the Triangle and the Circle. Boston, MA: Houghton Mifflin, p. 101, 1929.Kimberling, C. "Polar of a Point." §1.19 in "Triangle Centers and Central Triangles." Congr. Numer. 129, 1-295, 1998.

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Chasles's Polars Theorem

Cite this as:

Weisstein, Eric W. "Chasles's Polars Theorem." From MathWorld--A Wolfram Web Resource.

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