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Diagonal Triangle


The diagonal triangle of a complete quadrangle is the triangle formed by its three diagonal points.

DiagonalTriangle

If the quadrangle is a cyclic quadrilateral, then the circle is the polar circle of the diagonal triangle, i.e., each vertex is the inversion pole of the opposite side with respect to the circle.


See also

Cyclic Quadrilateral, Inversion Pole, Triangle

Portions of this entry contributed by Floor van Lamoen

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References

Wells, D. The Penguin Dictionary of Curious and Interesting Geometry. London: Penguin, p. 44, 1991.

Referenced on Wolfram|Alpha

Diagonal Triangle

Cite this as:

van Lamoen, Floor and Weisstein, Eric W. "Diagonal Triangle." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DiagonalTriangle.html

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