Illustration of Haruki's Theorem:

Haruki's Theorem says that given three intersecting circles that only intersect each other at two points that the lines connecting the inner intersecting points to the outer satisfy:

where are the measure of segments connecting the inner and outer intersection points.[1][2][3]

The theorem is named after the Japanese mathematician Hiroshi Haruki.

References

  1. ↑ Wisstein, Eric. "Haruki's Theorem". Wolfram MathWorld. Wolfram MathWorld. Retrieved 19 August 2015.
  2. ↑ Bogomolny, Alexander. "Cut the Knot". Retrieved 19 August 2015.
  3. ↑ Ross Honsberger: Episodes in Nineteenth and Twentieth Century Euclidean Geometry. MAA, 1995, p. 144-146
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