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 9
... fact that they are enacting many more sequences, as binding on writers, than the one logical sequence which they desire to secure. Their 'standard sequence' would be fitly replaced by a 'standard genealogy.' But in any case we are ...
... fact that they are enacting many more sequences, as binding on writers, than the one logical sequence which they desire to secure. Their 'standard sequence' would be fitly replaced by a 'standard genealogy.' But in any case we are ...
Side 14
... ' Rival ' — in fact, it is not a text-book at all, but a mere list of enunciations — but because, first, it comes with an array of imposing names to recommend it, and secondly, it discards my system of MhVOS AND EUCLID. [ACT I.
... ' Rival ' — in fact, it is not a text-book at all, but a mere list of enunciations — but because, first, it comes with an array of imposing names to recommend it, and secondly, it discards my system of MhVOS AND EUCLID. [ACT I.
Side 17
... fact essential to the proof of I. 32. Min. I must allow that I. 31 and I. 46 have a good claim to be retained in their places : and if two are to be retained, we may as well retain all. Euc. Another argument, for retaining the Problems ...
... fact essential to the proof of I. 32. Min. I must allow that I. 31 and I. 46 have a good claim to be retained in their places : and if two are to be retained, we may as well retain all. Euc. Another argument, for retaining the Problems ...
Side 29
... fact. No. 2 would be a right Line : but, as we have no right, at present, to assume this, I have drawn it as a wavy line. Min. I can suggest two Contranominals which you have omitted: one, deducible from 13 (i), 'Two Lines, which are ...
... fact. No. 2 would be a right Line : but, as we have no right, at present, to assume this, I have drawn it as a wavy line. Min. I can suggest two Contranominals which you have omitted: one, deducible from 13 (i), 'Two Lines, which are ...
Side 39
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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