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 viii
... less tedious and a little more acceptable to unscientific readers. In one respect this book is an experiment, and may chance to prove a failure : I mean that I have not thought it necessary to maintain throughout the gravity of style ...
... less tedious and a little more acceptable to unscientific readers. In one respect this book is an experiment, and may chance to prove a failure : I mean that I have not thought it necessary to maintain throughout the gravity of style ...
Side xxvi
... less than sum of two right angles . ,, ' multiple angles ' in VI. 33 . . . „ proof for Ax. 10 accepted . . . .211) 6. Omissions, alterations, and additions, suggested by Modern Rivals. Omission of I. 7 suggested . . . . .220 PAGE ...
... less than sum of two right angles . ,, ' multiple angles ' in VI. 33 . . . „ proof for Ax. 10 accepted . . . .211) 6. Omissions, alterations, and additions, suggested by Modern Rivals. Omission of I. 7 suggested . . . . .220 PAGE ...
Side 9
... provided for without discarding my system of numbers. If you wished, for instance, to insert two new Propositions between I. 13 and I. 14, it would be far less inconvenient to call them 13 B and 13. Sc. II, § 1.] EUCLID'S MANUAL. 11.
... provided for without discarding my system of numbers. If you wished, for instance, to insert two new Propositions between I. 13 and I. 14, it would be far less inconvenient to call them 13 B and 13. Sc. II, § 1.] EUCLID'S MANUAL. 11.
Side 10
Lewis Carroll. far less inconvenient to call them 13 B and 13 C than to abandon the old numbers. Min. I give up the objection. Euc. You will allow then, I think, that my sequence and system of numbers should not be abandoned without good ...
Lewis Carroll. far less inconvenient to call them 13 B and 13 C than to abandon the old numbers. Min. I give up the objection. Euc. You will allow then, I think, that my sequence and system of numbers should not be abandoned without good ...
Side 27
... less than two right angles. T 17.] 5. A Pair of Lines, which have a common point and are equally inclined to a certain transversal, are coincidental. 6. A Pair of Lines, which have a separate point and are equally inclined to a certain ...
... less than two right angles. T 17.] 5. A Pair of Lines, which have a common point and are equally inclined to a certain transversal, are coincidental. 6. A Pair of Lines, which have a separate point and are equally inclined to a certain ...
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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