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 xxi
... ' 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.
... ' 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 xxii
Lewis Carroll. ACT. III. Manuals which adopt Euclid's treatment of Parallels SCENE I. Introductory § 2. CHAUVENET. General survey General survey § 3. LOOMIS. § 4. MORELL. Treatment of Line ...... Angle „ Parallels General survey ...
Lewis Carroll. ACT. III. Manuals which adopt Euclid's treatment of Parallels SCENE I. Introductory § 2. CHAUVENET. General survey General survey § 3. LOOMIS. § 4. MORELL. Treatment of Line ...... Angle „ Parallels General survey ...
Side 8
... adopted) the genealogy would stand thus : — (see Frontispiece). Min. Would it not be enough to publish an arranged list (which would be all the better if numbered also), and to enact that no Proposition should be used to prove any of ...
... adopted) the genealogy would stand thus : — (see Frontispiece). Min. Would it not be enough to publish an arranged list (which would be all the better if numbered also), and to enact that no Proposition should be used to prove any of ...
Side 9
... adopt. You will allow, I think, that there are strong a priori reasons for retaining my numbers. The Propositions ... adopted, in order to introduce, in their proper places, some important Theorems which have been added to the subject ...
... adopt. You will allow, I think, that there are strong a priori reasons for retaining my numbers. The Propositions ... adopted, in order to introduce, in their proper places, some important Theorems which have been added to the subject ...
Side 12
... adopted, I feel that, after so vital a change as that, involving (as no doubt it would) the abandonment of my sequence and system of numbering, the remainder of my Manual would not be worth fighting for, though portions of it might be ...
... adopted, I feel that, after so vital a change as that, involving (as no doubt it would) the abandonment of my sequence and system of numbering, the remainder of my Manual would not be worth fighting for, though portions of it might be ...
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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