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. |
Inni boken
Resultat 1-5 av 84
Side vii
... proved . " A few years later , Dodgson would doubtless have in- cluded , in the latter table , a nineteenth item ( see " A New Theory of Parallels , " which is Part I of Curiosa Mathematica , 3rd ed . , London , 1890 , p . 14 ) : In ...
... proved . " A few years later , Dodgson would doubtless have in- cluded , in the latter table , a nineteenth item ( see " A New Theory of Parallels , " which is Part I of Curiosa Mathematica , 3rd ed . , London , 1890 , p . 14 ) : In ...
Side x
... prove a failure : I mean that I have not thought it necessary to maintain throughout the gravity of style which scientific writers usually affect , and which has some- how come to be regarded as an ' inseparable accident ' of scientific ...
... prove a failure : I mean that I have not thought it necessary to maintain throughout the gravity of style which scientific writers usually affect , and which has some- how come to be regarded as an ' inseparable accident ' of scientific ...
Side xiv
... 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 proofs ; ( 3 ) New Propositions to be added . Proposed changes which , if proved ...
... 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 proofs ; ( 3 ) New Propositions to be added . Proposed changes which , if proved ...
Side xx
... proved à la Henrici Motion ' per saltum ' denied A strange hypothesis . A new kind of open question ' Another non - sequitur ' • وو rejected 83 . . 84 85 86 87 89 90 وو An awkward corner . Theorems on Symmetry Summary of faults Euclid I ...
... proved à la Henrici Motion ' per saltum ' denied A strange hypothesis . A new kind of open question ' Another non - sequitur ' • وو rejected 83 . . 84 85 86 87 89 90 وو An awkward corner . Theorems on Symmetry Summary of faults Euclid I ...
Side 1
Beklager, innholdet på denne siden er tilgangsbegrenset..
Beklager, innholdet på denne siden er tilgangsbegrenset..
Andre utgaver - Vis alle
Vanlige uttrykk og setninger
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