Orthopolar Line


The orthopoles of a line l with respect to the four triangles formed by three out of four vertices of any quadrilateral ABCD lie on a straight line L known as the orthopolar line of l for the given quadrilateral (Servais 1923, McBrien 1942, Goormaghtigh 1947).

See also

Isopolar Line, Orthopole

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Goormaghtigh, R. "Orthopolar and Isopolar Lines in the Cyclic Quadrilateral." Amer. Math. Monthly 54, 211-214, 1947.McBrien, V. O. On Some Systems of Orthopolar and Kantor Lines of Lines Referred to a Quadrangle. Washington, DC: Catholic University of America Press, 1942.Servais, C. "Sur l'orthopóle." Mathesis, p. 11, 1923.

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Orthopolar Line

Cite this as:

Weisstein, Eric W. "Orthopolar Line." From MathWorld--A Wolfram Web Resource.

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