Euclid and His Modern RivalsCourier Corporation, 5. mars 2014 - 320 sider The author of Alice in Wonderland (and an Oxford professor of mathematics) employs the fanciful format of a play set in Hell to take a hard look at late-19th-century interpretations of Euclidean geometry. Carroll's penetrating observations on geometry are accompanied by ample doses of his famous wit. 1885 edition. |
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Side xviii
... discussed . . „ „ „ rejected . . 83 General survey of book : — ...... Enormous amount of new matter . . .84 Two ' non-sequiturs ' 85 An absurdity proved a la Henrici . . .86 Motion ' per saltum ' denied . . . .87 A strange hypothesis ...
... discussed . . „ „ „ rejected . . 83 General survey of book : — ...... Enormous amount of new matter . . .84 Two ' non-sequiturs ' 85 An absurdity proved a la Henrici . . .86 Motion ' per saltum ' denied . . . .87 A strange hypothesis ...
Side xix
... discussed . . . . . . . .108 Property ' same direction,' when asserted of different Lines, can neither be defined, nor constructed, nor tested 109 ' Separational directions ' not identical with ' identical directions ...
... discussed . . . . . . . .108 Property ' same direction,' when asserted of different Lines, can neither be defined, nor constructed, nor tested 109 ' Separational directions ' not identical with ' identical directions ...
Side xx
... discussed ..... 122 If angle be variable, it involves fallacy ' A dicto secun- dum quid ad dictum Simpliciter ... discussed . . . . .130 Theory of 'direction ' unsuited for teaching . .131 Test for meeting of finite Lines discussed ...
... discussed ..... 122 If angle be variable, it involves fallacy ' A dicto secun- dum quid ad dictum Simpliciter ... discussed . . . . .130 Theory of 'direction ' unsuited for teaching . .131 Test for meeting of finite Lines discussed ...
Side xxi
... conversion ' discussed, and condemned as illogical . . . „ Mysterious passage about ' incommensurables ' . 157 Manual rejected ........ ACT III. Manuals which adopt Euclid's treatment of Parallels SCENE ARGUMENT OF DRAMA. xxiii.
... conversion ' discussed, and condemned as illogical . . . „ Mysterious passage about ' incommensurables ' . 157 Manual rejected ........ ACT III. Manuals which adopt Euclid's treatment of Parallels SCENE ARGUMENT OF DRAMA. xxiii.
Side xxiv
... discussed in detail : — An important omission . . . . .199 An illogical conversion . . . . . „ ' Un enfant terrible' 201 Summary of results : — ...... 206 Of 73 Propositions of Euclid, this Manual has 14 omitted ; 43 done as in Euclid ...
... discussed in detail : — An important omission . . . . .199 An illogical conversion . . . . . „ ' Un enfant terrible' 201 Summary of results : — ...... 206 Of 73 Propositions of Euclid, this Manual has 14 omitted ; 43 done as in Euclid ...
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admit adopted allow already assert assume Axiom axiomatic beginners better Certainly coincide common point conclusion consider construct contain course curve define Definition demonstration different directions discussed draw drawn edition equal equally inclined equidistant Euclid examining exist fact fear figure Geometry give given Line grant greater instance intersectional length less limit logical magnitude Manual mathematical matter mean meet method moving necessary NIEMAND opposite Pair of Lines parallel pass perpendicular Plane position possible principle Problems produced proof Prop proposed Propositions prove question reason refer remaining remark right angles right Line Rivals separational sequence side straight Line suppose surely Table teaching Theorem thing third tion transversal Triangle true turn Unabridged republication whole Wilson writer دو