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 viii
... Wilson especially such apology is due - partly because I have criticised his book at great length and with no sparing hand - partly because it may well be deemed an impertinence in one , whose line of study has been chiefly in the lower ...
... Wilson especially such apology is due - partly because I have criticised his book at great length and with no sparing hand - partly because it may well be deemed an impertinence in one , whose line of study has been chiefly in the lower ...
Side xi
... Wilson especially such apology is due - partly because I have criticised his book at great length and with no sparing hand - partly because it may well be deemed an impertinence in one , whose line of study has been chiefly in the lower ...
... Wilson especially such apology is due - partly because I have criticised his book at great length and with no sparing hand - partly because it may well be deemed an impertinence in one , whose line of study has been chiefly in the lower ...
Side xiii
... RHADAMANTHUS . ] Consequences of allowing the use of various Manuals of Geometry that we must accept ( 1 ) Circular ' arguments ( 2 ) Illogical do . Example from Cooley • وو دو Wilson . PAGE 1 2 54 4 SCENE II . [ MINOS and EUCLID . ] §
... RHADAMANTHUS . ] Consequences of allowing the use of various Manuals of Geometry that we must accept ( 1 ) Circular ' arguments ( 2 ) Illogical do . Example from Cooley • وو دو Wilson . PAGE 1 2 54 4 SCENE II . [ MINOS and EUCLID . ] §
Side xv
... Wilson , Pierce , Willock , Chauvenet , Loomis , Morell , Reynolds , Wright , Syllabus of Association for Improvement of Geometrical Teaching , Wilson's ' Syllabus ' -Manual . §3 . The combination , or separation , of Problems and ...
... Wilson , Pierce , Willock , Chauvenet , Loomis , Morell , Reynolds , Wright , Syllabus of Association for Improvement of Geometrical Teaching , Wilson's ' Syllabus ' -Manual . §3 . The combination , or separation , of Problems and ...
Side xviii
... Wilson's version of it ACT II . [ MINOS and NIEMAND . ] Manuals which reject Euclid's treatment of Parallels . SCENE I. Introductory SCENE II . Treatment of Parallels by methods involving infinite series . LEGENDRE . Treatment of Line ...
... Wilson's version of it ACT II . [ MINOS and NIEMAND . ] Manuals which reject Euclid's treatment of Parallels . SCENE I. Introductory SCENE II . Treatment of Parallels by methods involving infinite series . LEGENDRE . Treatment of Line ...
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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