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 v
... " And how did he define Direction? "The Direction of a Line in any part is the direction of a point at that part from the next preceding point of the Line." Were Dodgson still alive, he would be equally indignant about.
... " And how did he define Direction? "The Direction of a Line in any part is the direction of a point at that part from the next preceding point of the Line." Were Dodgson still alive, he would be equally indignant about.
Side xvii
... Definition, two Axioms, and five Theorems . . . . .68 Test for meeting of two finite Lines . . . 6!i Manual a modified Euclid . , . 70 SCENE V. Treatment of Parallels by revolving lines. Treatment of ARGUMENT OF DRAMA. xix.
... Definition, two Axioms, and five Theorems . . . . .68 Test for meeting of two finite Lines . . . 6!i Manual a modified Euclid . , . 70 SCENE V. Treatment of Parallels by revolving lines. Treatment of ARGUMENT OF DRAMA. xix.
Side xix
... definition of Pair of Lines . . . . .118 ' Parallel/ as used by Wilson, to be replaced by term ' sepcodal ' I . . . . . . „ Definition discussed . . . . . . .119 Theorem ' sepcodal Lines do not meet ' accepted . 121 PAGE Theorem ' Lines ...
... definition of Pair of Lines . . . . .118 ' Parallel/ as used by Wilson, to be replaced by term ' sepcodal ' I . . . . . . „ Definition discussed . . . . . . .119 Theorem ' sepcodal Lines do not meet ' accepted . 121 PAGE Theorem ' Lines ...
Side 1
... (Definition 9) ; therefore AGII is equal to GITD; but these are alternate angles.' Did you ever hear anything like that for calm assumption ? Win. What does the miscreant mean by ' Definition 9 ' ? Rhad. Oh, that's the grandest of all ...
... (Definition 9) ; therefore AGII is equal to GITD; but these are alternate angles.' Did you ever hear anything like that for calm assumption ? Win. What does the miscreant mean by ' Definition 9 ' ? Rhad. Oh, that's the grandest of all ...
Side 17
... definition, of course, does not assert real existence : it is merely provisional. Now, if you omit I. 46, what right would you have, in I. 47, to say ' draw a Square ' ? How would you know it to be possible ? Min. We could easily deduce ...
... definition, of course, does not assert real existence : it is merely provisional. Now, if you omit I. 46, what right would you have, in I. 47, to say ' draw a Square ' ? How would you know it to be possible ? Min. We could easily deduce ...
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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