Haruki's Theorem
HarukisTheorem
Given three circles, each intersecting the other two in two points, the line segments connecting their points of intersection satisfy
(Honsberger 1995).
See also
Circular Triangle, Johnson's Theorem, Venn DiagramExplore with Wolfram|Alpha
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References
Honsberger, R. "Haruki's Cevian Theorem for Circles." §12.4 in Episodes in Nineteenth and Twentieth Century Euclidean Geometry. Washington, DC: Math. Assoc. Amer., pp. 144-146, 1995.Referenced on Wolfram|Alpha
Haruki's TheoremCite this as:
Weisstein, Eric W. "Haruki's Theorem." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/HarukisTheorem.html