Euclid and His Modern RivalsCourier Corporation, 01.01.2004 - 275 Seiten From the Oxford don who created 'Alice in Wonderland' comes a fanciful play that takes a hard look at late-nineteenth-century interpretations of Euclidean geometry. 'Euclid and His Modern Rivals' takes place in Hell, where the Infernal Judges are examining and passing judgment on contemporary theories of geometry. Books that reject Euclid's treatment of parallels receive first consideration (infinite series, angles made by transversals, equidistances, revolving lines, 'directions,' infinitesimals), followed by books that adopt Euclid's treatment, and ultimately, Euclid's own works. |
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adjacent angles alternate angles angles are equal assert assume axiomatic beginners Cambridge Mathematical Tripos Certainly coincide coincidental Lines common point Contranominal Cor Cor course curve CUTHBERTSON deduce define Definition demonstration different directions different Lines drawn edition Elementary Geometry equal angles equally inclined equidistant equidistantial Euclid examining Felix Klein figure finite Lines given Line given point grant H. S. M. COXETER HENRICI interior angles interpolated intersectional Lines Legendre magnitude Manual mathematical mean meet if produced method Modern Rivals NIEMAND reads old proof Pair of Lines parallel perpendicular Petitio Principii phrase Plane Playfair's Axiom position Pr Pr Problems Prop Propositions prove right angles right Line separate point separational Lines sepcodal side straight angle straight Line suppose Syllabus teaching text-book Th Th Theorem tion transversal treatise Triangle true Unabridged republication undisputed Axioms Wilson words writer دو وو