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 14
... conclude, in each case, with a general survey of the book, as to style, &c. The following may be taken as a fairly complete catalogue of the books to be examined : — T. Legendre. 8. Chauvenet. 2. Cooley. 9. Loomis. 3. Cuthbcrtson. 10 ...
... conclude, in each case, with a general survey of the book, as to style, &c. The following may be taken as a fairly complete catalogue of the books to be examined : — T. Legendre. 8. Chauvenet. 2. Cooley. 9. Loomis. 3. Cuthbcrtson. 10 ...
Side 15
... conclude this interview: but, when it comes to criticising particular authors, I must leave you to yourself, to deal with them as best you can. Min. It will be weary work to do it all alone. And yet I suppose you cannot, even with your ...
... conclude this interview: but, when it comes to criticising particular authors, I must leave you to yourself, to deal with them as best you can. Min. It will be weary work to do it all alone. And yet I suppose you cannot, even with your ...
Side 22
... conclude that they fulfil all the following conditions : — (1) they are coincidental ; (2) they are equally inclined to any transversal ; (3) they are ' equidistantial, i. e. any two points on one are equidistant from the other ; (4) ...
... conclude that they fulfil all the following conditions : — (1) they are coincidental ; (2) they are equally inclined to any transversal ; (3) they are ' equidistantial, i. e. any two points on one are equidistant from the other ; (4) ...
Side 23
Lewis Carroll. Min. You mean, by ' conclude,' that we may prove our conclusion ? FMC. Yes, wherever proof is needed. Conclusions (i) and (4) need none, and are usually stated as Axioms. Min. In subject (4), instead of ' identical ...
Lewis Carroll. Min. You mean, by ' conclude,' that we may prove our conclusion ? FMC. Yes, wherever proof is needed. Conclusions (i) and (4) need none, and are usually stated as Axioms. Min. In subject (4), instead of ' identical ...
Side 24
... conclude that they fulfil all the following conditions : — 1 I ) they are separational ; (2) they are unequally inclined to any transversal; (3) any two points on one, which are on the same side of the other, are not equidistant from it ...
... conclude that they fulfil all the following conditions : — 1 I ) they are separational ; (2) they are unequally inclined to any transversal; (3) any two points on one, which are on the same side of the other, are not equidistant from it ...
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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