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When Euler (circle) meets Poncelet (Porism) - MaRDI portal

When Euler (circle) meets Poncelet (Porism)

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Publication:6352951

zbMATH Open1513.51022arXiv2011.01988MaRDI QIDQ6352951

Liliana Gabriela Gheorghe

Publication date: 3 November 2020

Abstract: We describe all triangles that shares the same circumcircle and Euler circle. Although this two circles do not form a poristic pair of circles, we find a poristic circle "in-between" that enable to solve this problem using Poncelet porism.





Mathematics Subject Classification ID

Elementary problems in Euclidean geometries (51M04) Geometric constructions in real or complex geometry (51M15) General theory of linear incidence geometry and projective geometries (51A05)








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