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
... seems to me, without using any other Theorem at all. Min. The thing sounds impossible. R/iacl. So /should have said. Here's the proof. D- ' Slide Z DBA along BF into position GAP, GA having same direction as DC (Ax. 9) ; similarly slide ...
... seems to me, without using any other Theorem at all. Min. The thing sounds impossible. R/iacl. So /should have said. Here's the proof. D- ' Slide Z DBA along BF into position GAP, GA having same direction as DC (Ax. 9) ; similarly slide ...
Side 6
... seems to think that no such fixed sequence is really necessary. He says (in his Preface, p. 10) ' Geometry when treated as a science, treated inartificially, falls into a certain order from which there can be no very wide departure ...
... seems to think that no such fixed sequence is really necessary. He says (in his Preface, p. 10) ' Geometry when treated as a science, treated inartificially, falls into a certain order from which there can be no very wide departure ...
Side 12
... seems essential that nothing but the best proof existing should be offered to the limited capacity of a learner. J'acitis committere renis nil nisi lene decet. Min. I agree with you that we ought to have one system only, and that the ...
... seems essential that nothing but the best proof existing should be offered to the limited capacity of a learner. J'acitis committere renis nil nisi lene decet. Min. I agree with you that we ought to have one system only, and that the ...
Side 17
... seems rather a strange proposal, to print the Propositions in one order and read them in another. But a stronger objection to the proposal is that several of the Problems are Theorems as well — such as I, 46, for instance. Mm. How is ...
... seems rather a strange proposal, to print the Propositions in one order and read them in another. But a stronger objection to the proposal is that several of the Problems are Theorems as well — such as I, 46, for instance. Mm. How is ...
Side 30
... seems obscure. Eiic. I will do what I can to make it less so. Let us name the three Lines 'A, B, C.' Then 17 may be read ' A Line (C), which has a point in common with one (A) of two coincidental Lines (A, B), has a point in common with ...
... seems obscure. Eiic. I will do what I can to make it less so. Let us name the three Lines 'A, B, C.' Then 17 may be read ' A Line (C), which has a point in common with one (A) of two coincidental Lines (A, B), has a point in common with ...
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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