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| From | Michael de Villiers <profmd@mweb.co.za> |
|---|---|
| Newsgroups | geometry.puzzles |
| Subject | Japanese Circumscribed Quadrilateral Theorem and its Generalization |
| Date | 2016-10-03 00:58 +0000 |
| Organization | The Math Forum |
| Message-ID | <8667034.55784.1475455663451.JavaMail.root@sodium.mathforum.org> (permalink) |
This dynamic, interactive sketch at http://dynamicmathematicslearning.com/japanese-circum-quad-theorem.html shows the following beautiful Japanese Temple Geometry result, "The products of the radii of the excircles on each pair of opposite sides of a circumscribed quadrilateral are equal", as well as its generalization to circumscribed 2n-gons. Can you explain why (prove) that the result and its generalization is true? Attachment available from http://mathforum.org/kb/forum.jspa?forumID=129
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Japanese Circumscribed Quadrilateral Theorem and its Generalization Michael de Villiers <profmd@mweb.co.za> - 2016-10-03 00:58 +0000
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