Euclid and His Modern RivalsCourier Corporation, 1. jan. 2004 - 275 sider 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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Side vi
... angles , right angles , and ( most especially ) Parallels . " And again ( p . 11 ) : " The Propositions have been known by those numbers for two thousand years ; . . . and some of them , I.5 and I.47 for instance- ' the Asses ' Bridge ...
... angles , right angles , and ( most especially ) Parallels . " And again ( p . 11 ) : " The Propositions have been known by those numbers for two thousand years ; . . . and some of them , I.5 and I.47 for instance- ' the Asses ' Bridge ...
Side xxi
Lewis Carroll, Charles Lutwidge Dodgson. Extension of limit of angle ' to sum of four right angles . Straight ' angles Meaning of direction ' ' Opposite ' directions PAGE 99 . 101 . 103 . 105 ' Same ' and ' different ' directions Axiom ...
Lewis Carroll, Charles Lutwidge Dodgson. Extension of limit of angle ' to sum of four right angles . Straight ' angles Meaning of direction ' ' Opposite ' directions PAGE 99 . 101 . 103 . 105 ' Same ' and ' different ' directions Axiom ...
Side xxviii
... Angles . PAGE 214 . 215 217 Treatment of Line وو Angle ' declination from ' accepted must be less than sum of two right angles ' multiple angles ' in VI . 33 proof for Ax . 10 accepted • 217 218 • 33 219 • § 6. Omissions , alterations ...
... Angles . PAGE 214 . 215 217 Treatment of Line وو Angle ' declination from ' accepted must be less than sum of two right angles ' multiple angles ' in VI . 33 proof for Ax . 10 accepted • 217 218 • 33 219 • § 6. Omissions , alterations ...
Side 3
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Side 4
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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