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 v
... propositions . One by one , these rivals are ridiculed and put to shame . Time has justified Dodgson's scorn , for all save Legendre and Peirce have been forgotten . A. M. Legendre's Elé- ments de Géométrie , " though well suited for ...
... propositions . One by one , these rivals are ridiculed and put to shame . Time has justified Dodgson's scorn , for all save Legendre and Peirce have been forgotten . A. M. Legendre's Elé- ments de Géométrie , " though well suited for ...
Side vi
... 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 ' and ' the Windmill'— are now historical characters , and their nicknames are ' familiar as ...
... 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 ' and ' the Windmill'— are now historical characters , and their nicknames are ' familiar as ...
Side vii
... Propositions of which no one is an undisputed Axiom , but all are real and valid Theorems , which , though not de ... proposition fails for any sufficiently large circle ) . In his Sylvie and Bruno Concluded ( London , 1893 , pp . 100 ...
... Propositions of which no one is an undisputed Axiom , but all are real and valid Theorems , which , though not de ... proposition fails for any sufficiently large circle ) . In his Sylvie and Bruno Concluded ( London , 1893 , pp . 100 ...
Side ix
... Propositions and in its treat- ment of Parallels , the Manual of Euclid ; and thirdly , that no sufficient reasons have yet been shown for aban- doning it in favour of any one of the modern Manuals which have been offered as substitutes ...
... Propositions and in its treat- ment of Parallels , the Manual of Euclid ; and thirdly , that no sufficient reasons have yet been shown for aban- doning it in favour of any one of the modern Manuals which have been offered as substitutes ...
Side xiv
... Propositions to be omitted ; ( 2 ) 39 to be replaced by new proofs ; ( 3 ) New Propositions to be added . Proposed changes which , if proved to be essential , would necessitate such abandonment : - . ( 1 ) Separation of Problems and ...
... Propositions to be omitted ; ( 2 ) 39 to be replaced by new proofs ; ( 3 ) New Propositions to be added . Proposed changes which , if proved to be essential , would necessitate such abandonment : - . ( 1 ) Separation of Problems and ...
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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