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Two Butterflies Theorem III: What is it about?
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This is a further generalization of the Two Butterflies theorem. One was suggested by Nathan Bowler who observed that the two butterflies need not live on the same circle as long as the circles intersect. It appears that the latter restriction is unnecessary. If the circles do not intersect the role of AB - the meeting place of the butterfly contours - is taken up by the radical axis of the circles.
Butterfly Theorem and Variants
- Butterfly theorem
- 2N-Wing Butterfly Theorem
- Better Butterfly Theorem
- The Lepidoptera of the Circles
- The Lepidoptera of the Quadrilateral
- The Lepidoptera of the Quadrilateral II
- Butterflies in Quadrilaterals and Elsewhere
- Two Butterflies Theorem
- Two Butterflies Theorem II
- Two Butterflies Theorem III
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