Stability of Brocard points of polygons

DOI10.1216/rmjm/1022009273zbMath0976.51006OpenAlexW2017601369MaRDI QIDQ5928684

Stephan Foldes, Adi Ben-Israel

Publication date: 1 April 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL30-2/CONT30-2/CONT30-2.html

zbMATH Keywords

similarityBrocard angleBrocard pointnested polygonsruler-and-compass construction

Mathematics Subject Classification ID

Elementary problems in Euclidean geometries (51M04) Geometric constructions in real or complex geometry (51M15)

Cites Work

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• Some new transversality properties
• Triangle centers as functions
• Point-to-line distances in the plane of a triangle
• Ceva, Menelaus, and selftransversality
• A class of major centers of triangles
• Functional equations associated with triangle geometry
• On the Brocard Points of a Triangle
• Complementary halfspaces and trigonometric Ceva-Brocard inequalities for polygons
• A new Ceva-type theorem
• Central Points and Central Lines in the Plane of a Triangle
• Ceva, Menelaus, and the Area Principle

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