Bicentric polygons, their incircles, circumcircles and the circles between. Issue 568 (March 2023)

• Record Type: Journal Article
• Authors: Stephenson, Paul
• Is Part Of: Mathematical gazette. Volume 107:Issue 568(2023)
• Page Start: 160
• Page End: 161
• Publication Date: 2023-03
• Subjects: Mathematics -- Periodicals; Mathématique; Mathematik; Mathematics; Periodicals; Ressource Internet (Descripteur de forme); Périodique électronique (Descripteur de forme); Zeitschrift; Online-Publikation; 510
• DOI: 10.1017/mag.2023.29
• Languages: English
• ISSNs: 0025-5572

Abstract

Abstract : 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.