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 88
Side vi
... Theorem which can be proved by the Axioms we already possess . " There is much to be said for his standpoint that the degree of rigor in Euclid's Elements is just right for high school : a modern axiomatic treatment ( such as H. G. ...
... Theorem which can be proved by the Axioms we already possess . " There is much to be said for his standpoint that the degree of rigor in Euclid's Elements is just right for high school : a modern axiomatic treatment ( such as H. G. ...
Side vii
... Theorems , deducible from un- disputed Axioms " and " TABLE II , Containing eighteen Propositions of which no one is an undisputed Axiom , but all are real and valid Theorems , which , though not de- ducible from undisputed Axioms , are ...
... Theorems , deducible from un- disputed Axioms " and " TABLE II , Containing eighteen Propositions of which no one is an undisputed Axiom , but all are real and valid Theorems , which , though not de- ducible from undisputed Axioms , are ...
Side xiv
... Theorems might be interpolated without change of numeration PAGE 6 8 99 10 . 11 • § 2. Method of procedure in examining Modern Rivals . Proposed changes which , even if proved to be essential , would not necessitate the abandonment of ...
... Theorems might be interpolated without change of numeration PAGE 6 8 99 10 . 11 • § 2. Method of procedure in examining Modern Rivals . Proposed changes which , even if proved to be essential , would not necessitate the abandonment of ...
Side xv
... Theorems . PAGE 15 16 Reasons assigned for separation Reasons for combination : - ( 1 ) Problems are also Theorems ; ( 2 ) Separation would necessitate a new numer- ation , ( 3 ) and hypothetical constructions . §4 . Syllabus of ...
... Theorems . PAGE 15 16 Reasons assigned for separation Reasons for combination : - ( 1 ) Problems are also Theorems ; ( 2 ) Separation would necessitate a new numer- ation , ( 3 ) and hypothetical constructions . §4 . Syllabus of ...
Side xvi
... Theorems , deducible from undisputed Axioms Subjects and predicates of other propositions concern- ing Separational Lines . TABLE II . Containing eighteen Propositions , of which no one is an undisputed Ariom , but all are real and ...
... Theorems , deducible from undisputed Axioms Subjects and predicates of other propositions concern- ing Separational Lines . TABLE II . Containing eighteen Propositions , of which no one is an undisputed Ariom , but all are real and ...
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