Geometry by Its History

DOI10.1007/978-3-642-29163-0zbMath1288.51001OpenAlexW4210774655WikidataQ56144988 ScholiaQ56144988MaRDI QIDQ2880319

Alexander Ostermann, Gerhard Wanner

Publication date: 13 April 2012

Published in: Undergraduate Texts in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-29163-0

zbMATH Keywords

spherical geometryArchimedes' spiralconstructibilityFermat-Torricelli pointlemniscatePoncelet's porismKepler's lawsErdős-Mordell inequalityMalfatti's problemSteiner-Lehmus theoremArchimedean solidsGram determinantspherical trigonometryPascal's hexagon theoremNapoleon's theoremGergonne pointCeva's theoremMiquel's theoremMorley's theorembutterfly theoremHeron's formulaEuler linePick's theoremangle trisectionapproximate constructionsMenelaus' theoremcycloidFeuerbach's circleregular heptagonPythagoras' theoremNagel linedoubling the cubenine-point circleNagel pointBrahmagupta's formulaperimeter bisectorfolium of DescartesCassini's ovalsSimson lineSteiner's porismcircle squaringPappus' problemApollonius' three-circle problemArchimedes' arbelosarea bisectorBrianchon's hexagon theoremBrocard's pointsconchoid of Nicomedesdeltoid of SteinerDesargue's theoremgeneralized Fermat-Torricelli pointseventeen-gonSteiner's circlesSturm's circlesUrquhart's theoremvan der Waerden's pentagon theorem

Mathematics Subject Classification ID

Elementary problems in Euclidean geometries (51M04) Geometric constructions in real or complex geometry (51M15) Euclidean geometries (general) and generalizations (51M05) Affine analytic geometry (51N10) Projective analytic geometry (51N15) General histories, source books (01A05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to geometry (51-01) History of geometry (51-03)

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