Euclid and His Modern RivalsCourier Corporation, 2004 M01 1 - 275 páginas 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. |
Dentro del libro
Resultados 1-5 de 38
Página xxi
... different Lines may have the same direction , ' discussed Property same direction , ' when asserted of different Lines , can neither be defined , nor constructed , nor tested . ' Separational directions ' not identical with identical ...
... different Lines may have the same direction , ' discussed Property same direction , ' when asserted of different Lines , can neither be defined , nor constructed , nor tested . ' Separational directions ' not identical with identical ...
Página xxii
... different Lines that PAGE 121 122 . 123 125 make equal angles with any transversal . 127 ( 2 ) Lines , which make equal angles with a cer- tain transversal , do so with any transversal 128 Axiom rejected Ideas of direction ' discussed ...
... different Lines that PAGE 121 122 . 123 125 make equal angles with any transversal . 127 ( 2 ) Lines , which make equal angles with a cer- tain transversal , do so with any transversal 128 Axiom rejected Ideas of direction ' discussed ...
Página xxiii
... different Lines may have the same direction ' List of Euclid's Theorems which are omitted Manual not adapted for beginners · وو 146 • 147 148 " " § 3. WILLOCK . Treatment of Parallels Virtual assumption of Axiom ' different Lines may ...
... different Lines may have the same direction ' List of Euclid's Theorems which are omitted Manual not adapted for beginners · وو 146 • 147 148 " " § 3. WILLOCK . Treatment of Parallels Virtual assumption of Axiom ' different Lines may ...
Página 26
Lo sentimos, el contenido de esta página está restringido..
Lo sentimos, el contenido de esta página está restringido..
Página 27
Lo sentimos, el contenido de esta página está restringido..
Lo sentimos, el contenido de esta página está restringido..
Otras ediciones - Ver todas
Términos y frases comunes
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