Let , , , and be four circles of general position through a point . Let be the second intersection of the circles and . Let be the circle . Then the four circles , , , and all pass through the point . Similarly, let be a fifth circle through . Then the five points , , , and all lie on one circle . And so on.

Wells, D. The Penguin Dictionary of Curious and Interesting Geometry. London: Penguin, pp. 32-33, 1991.

CITE THIS AS:

Weisstein, Eric W. "Clifford's Circle Theorem." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/CliffordsCircleTheorem.html