Solution of Sondow’s Problem: A Synthetic Proof of the Tangency Property of the Parbelos

DOI10.4169/amer.math.monthly.121.05.438zbMath1310.51016DBLPjournals/tamm/Tsukerman14arXiv1210.5580OpenAlexW2962926859WikidataQ56058909 ScholiaQ56058909MaRDI QIDQ2928640

Emmanuel Tsukerman

Publication date: 10 November 2014

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5580

zbMATH Keywords

focusdirectrixshoemaker's knifelatus rectumLambert's theoremSimson-Wallace theoremArchimedean arbelosparbelos

Mathematics Subject Classification ID

Length, area and volume in real or complex geometry (51M25) Elementary problems in Euclidean geometries (51M04) Geometric constructions in real or complex geometry (51M15) Euclidean analytic geometry (51N20)

Related Items (2)

Hypergeometry of the Parbelos ⋮ Characterisations of the parabola

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