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Re: [EMHL] Rhombi problem

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  • John Conway
    ... I remark that if we extend all three sides of the medial triangle to these semicircles, we get six points on a circle - in fact this is the medial Conway
    Message 1 of 3 , May 1, 2001
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      On Mon, 30 Apr 2001, Floor van Lamoen wrote:

      > Let ABC the a triangle. Draw externally on each side a semicircle. If we
      > take two sides of the medial triangle, and extend these so that they
      > each meet two of the semicircles we get four points on these
      > semicircles. There is a rhombus tangent to the three semicircles in
      > these four points. Find the center of the rhombus.

      I remark that if we extend all three sides of the medial triangle to
      these semicircles, we get six points on a circle - in fact this is
      the medial "Conway circle". JHC
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