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 ix
... length and with no sparing hand — partly because it may well be deemed an impertinence in one, whose line of study has been chiefly in the lower branches of Mathematics, to dare to pronounce any opinion at all on the work of a Senior ...
... length and with no sparing hand — partly because it may well be deemed an impertinence in one, whose line of study has been chiefly in the lower branches of Mathematics, to dare to pronounce any opinion at all on the work of a Senior ...
Side xxvi
... length of demonstration ' ,, ' Too great brevity of demonstration ' . . .215 ' Constant reference to Axioms ' 4. Euclid's style. Artificiality, unsnggestiveness, and want of simplicity . . . . . . . .217 § 5. Euclid's treatment of Lines ...
... length of demonstration ' ,, ' Too great brevity of demonstration ' . . .215 ' Constant reference to Axioms ' 4. Euclid's style. Artificiality, unsnggestiveness, and want of simplicity . . . . . . . .217 § 5. Euclid's treatment of Lines ...
Side xxxiii
... length breaks out in a passionate soliloquy^ Min. So, my friend! That's the way you prove I. 19, is it? Assuming I. 20? Cool, refreshingly cool! But stop a bit ! Perhaps he doesn't ' declare to win ' on Euclid. Let's see. Ah, just so ...
... length breaks out in a passionate soliloquy^ Min. So, my friend! That's the way you prove I. 19, is it? Assuming I. 20? Cool, refreshingly cool! But stop a bit ! Perhaps he doesn't ' declare to win ' on Euclid. Let's see. Ah, just so ...
Side 19
... length of the right Line joining them ; and, by 'the distance of a point from a Line/ the length of the perpendicular drawn, from the point, to the Line. Now the properties of a Pair of Lines may be ranged under four headings : — (1) as ...
... length of the right Line joining them ; and, by 'the distance of a point from a Line/ the length of the perpendicular drawn, from the point, to the Line. Now the properties of a Pair of Lines may be ranged under four headings : — (1) as ...
Side 25
... length ; (5) they have different directions. And thirdly, if we are told that a certain Pair of Lines fulfil some one of the following conditions : — (i) they have a separate point, and are equally inclined to a certain transversal ; or ...
... length ; (5) they have different directions. And thirdly, if we are told that a certain Pair of Lines fulfil some one of the following conditions : — (i) they have a separate point, and are equally inclined to a certain transversal ; or ...
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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