If the vertices , , and of triangle lie on sides , , and of the triangle , then the three circumcircles , , and have a common point . In extended form, this theorem becomes Miquel's theorem.

Coxeter, H. S. M. and Greitzer, S. L. Geometry Revisited. New York: Random House, pp. 61-62, 1967.

Forder, H. G. Geometry. London: Hutchinson, p. 17, 1960.

Wells, D. The Penguin Dictionary of Curious and Interesting Geometry. London: Penguin, p. 184, 1991.

CITE THIS AS:

Weisstein, Eric W. "Pivot Theorem." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/PivotTheorem.html