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# 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.

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

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## References

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. https://mathworld.wolfram.com/ChaslessPolarsTheorem.html