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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Resultat 1-5 av 47
Side vi
... method of treating straight Lines , 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 ...
... method of treating straight Lines , 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 ...
Side xiv
... Method of procedure in examining Modern Rivals . Proposed changes which , even if proved to be essential , would not necessitate the abandonment of Euclid's Manual : - . ( 1 ) Propositions to be omitted ; ( 2 ) 39 to be replaced by new ...
... Method of procedure in examining Modern Rivals . Proposed changes which , even if proved to be essential , would not necessitate the abandonment of Euclid's Manual : - . ( 1 ) Propositions to be omitted ; ( 2 ) 39 to be replaced by new ...
Side xviii
... methods involving infinite series . LEGENDRE . Treatment of Line Angle Parallels Test for meeting of finite Lines Manual unsuited for beginners . PAGE 50 54 55 • 57 58 59 SCENE III . Treatment of Parallels by angles made with xviii ...
... methods involving infinite series . LEGENDRE . Treatment of Line Angle Parallels Test for meeting of finite Lines Manual unsuited for beginners . PAGE 50 54 55 • 57 58 59 SCENE III . Treatment of Parallels by angles made with xviii ...
Side xxvi
... methods , viz.- I illogical ; I ' hypothetical construction ' ; 2 needlessly using superposition ' ; 2 algebraical ; 4 omitting the diagonals of Euc . II .; 6 done by new and admissible methods . No reason for abandoning Euclid's ...
... methods , viz.- I illogical ; I ' hypothetical construction ' ; 2 needlessly using superposition ' ; 2 algebraical ; 4 omitting the diagonals of Euc . II .; 6 done by new and admissible methods . No reason for abandoning Euclid's ...
Side 8
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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