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Bicentric polygons, their incircles, circumcircles and the circles between

Published online by Cambridge University Press:  16 February 2023

Paul Stephenson
Paul Stephenson*
Affiliation:
Bohmerstrrasse 66, 45144, Essen, Germany e-mail: pstephenson1@me.com
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Extract

A bicentric polygon is one which possesses both an incircle and a circumcircle. To every bicentric polygon belong sets of circles which relate to them in the way described below (Figure 1). We take the triangle as our exemplar. We state results which students can verify using elementary methods. They may consult [1] for our own proofs but in several cases they may spot a neater approach. If so they should submit it to this journal as Feedback.

Type
Teaching Notes
Information
The Mathematical Gazette , Volume 107 , Issue 568 , March 2023 , pp. 160 - 161
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Copyright
© The Authors, 2023. Published by Cambridge University Press on behalf of The Mathematical Association

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References

www.magicmathworks.org/follow-up/publications/6403 Google Scholar
The Japanese collection ‘Seiyo Sampo’ (1781), 2(84).Google Scholar