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 xx
... equal angles with any transversal . 127 (2) Lines, which make equal angles with a certain transversal, do so with any transversal 128 Axiom rejected . . . . . . .129 Ideas of ' direction ' discussed . . . . .130 Theory of 'direction ...
... equal angles with any transversal . 127 (2) Lines, which make equal angles with a certain transversal, do so with any transversal 128 Axiom rejected . . . . . . .129 Ideas of ' direction ' discussed . . . . .130 Theory of 'direction ...
Side 1
Lewis Carroll. 'For AGH and EGB are equal because vertically opposite, and KGB is also equal to GHD (Definition 9) ; therefore AGII is equal to GITD; but these are alternate angles.' Did you ever hear anything like that for calm ...
Lewis Carroll. 'For AGH and EGB are equal because vertically opposite, and KGB is also equal to GHD (Definition 9) ; therefore AGII is equal to GITD; but these are alternate angles.' Did you ever hear anything like that for calm ...
Side 12
... equal in merit to the standard proof, and may make a desirable variety : but on this one vital point it seems essential that nothing but the best proof existing should be offered to the limited capacity of a learner. J'acitis committere ...
... equal in merit to the standard proof, and may make a desirable variety : but on this one vital point it seems essential that nothing but the best proof existing should be offered to the limited capacity of a learner. J'acitis committere ...
Side 20
... equal, or (d) an exterior angle equal to the interior opposite angle on the same side of the transversal, or (c) a pair of interior angles on the same side of the transversal supplementary ; they will make, with the same transversal, (d) ...
... equal, or (d) an exterior angle equal to the interior opposite angle on the same side of the transversal, or (c) a pair of interior angles on the same side of the transversal supplementary ; they will make, with the same transversal, (d) ...
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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