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.
Clifford's Circle Theorem
See also
Circle, Cox's TheoremExplore with Wolfram|Alpha
References
Wells, D. The Penguin Dictionary of Curious and Interesting Geometry. London: Penguin, pp. 32-33, 1991.Referenced on Wolfram|Alpha
Clifford's Circle TheoremCite this as:
Weisstein, Eric W. "Clifford's Circle Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CliffordsCircleTheorem.html