Polynomial triangle centers on the line at infinity

DOI10.1007/s00022-020-0522-yzbMath1442.51007OpenAlexW3002883639WikidataQ114232052 ScholiaQ114232052MaRDI QIDQ2175730

Clark H. Kimberling

Publication date: 30 April 2020

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-020-0522-y

zbMATH Keywords

circumcirclebarycentric coordinatestriangle centerEuler linesymbolic substitutionisotomic conjugateNagel lineisogonal conjugateline at infinitypolynomial triangle center

Mathematics Subject Classification ID

Euclidean analytic geometry (51N20) Projective analytic geometry (51N15)

Related Items (2)

The Ballet of Triangle Centers on the Elliptic Billiard ⋮ Intriguing invariants of centers of ellipse-inscribed triangles

Cites Work

• Degree of triangle centers and a generalization of the Euler line
• Some applications of trilinear coordinates
• Symbolic substitutions in the transfigured plane of a triangle
• The Rise, Fall, and Possible Transfiguration of Triangle Geometry: A Mini-History
• Rubio cubics and generalized Cundy-Parry mappings
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