A Unified Pythagorean Theorem in Euclidean, Spherical, and Hyperbolic Geometries

DOI10.4169/math.mag.90.1.59zbMath1398.51014OpenAlexW2588715987WikidataQ114021537 ScholiaQ114021537MaRDI QIDQ4692167

Robert L. Foote

Publication date: 26 October 2018

Published in: Mathematics Magazine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4169/math.mag.90.1.59

Mathematics Subject Classification ID

Elementary problems in Euclidean geometries (51M04) Elementary problems in hyperbolic and elliptic geometries (51M09)

Related Items (1)

Ultrametric properties for valuation spaces of normal surface singularities

Cites Work

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• Tractrices, Bicycle Tire Tracks, Hatchet Planimeters, and a 100-year-old Conjecture
• Bonnesen-Style Isoperimetric Inequalities
• Sign and geometric meaning of curvature
• Subtangents -- An Aid to Visual Calculus
• Non-Euclidean III.36
• An Intrinsic Formula for the Cross Ratio in Spherical and Hyperbolic Geometries

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