Poristic virtues of a negative pedal curve

zbMATH Open1513.51023arXiv2012.12385MaRDI QIDQ6356751

Publication date: 22 December 2020

Abstract: We describe all triangles that shares either circumcircle and pedal circle or circumcircle and negative-pedal circle. Neither of these pairs is poristic; nevertheless, the negative-pedal curve of the pedal-circle is a (very) special i-conic that points toward a poristic solution. Subsequently, other poristic pairs show up and the choreography swiftly begins.

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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