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 2
... position GAP, GA having same direction as DC (Ax. 9) ; similarly slide Z BCE along AE into position GAC. Then the ext. /s = CAF, FAG, GAC=one revolution = two straight Zs. But the ext. and int. Zs = 3 straight Z s. Therefore the int. Zs ...
... position GAP, GA having same direction as DC (Ax. 9) ; similarly slide Z BCE along AE into position GAC. Then the ext. /s = CAF, FAG, GAC=one revolution = two straight Zs. But the ext. and int. Zs = 3 straight Z s. Therefore the int. Zs ...
Side 7
... position, without involving risk of circular argument. Euc. Now, in order to secure this uniform logical sequence, we should require to know, as to any particular Proposition, what other Propositions were its logical descendants, so ...
... position, without involving risk of circular argument. Euc. Now, in order to secure this uniform logical sequence, we should require to know, as to any particular Proposition, what other Propositions were its logical descendants, so ...
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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