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
... Parallel Lines are straight Lines which have the same Direction." 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 ...
... Parallel Lines are straight Lines which have the same Direction." 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 ...
Side vi
... Parallels." And again (p. 11) : "The Propositions have been known by those numbers for two thousand years; . . . and some of them, 1.5 and 1.47 for instance — 'the Asses' Bridge' and 'the Windmill' — are now historical characters, and ...
... Parallels." And again (p. 11) : "The Propositions have been known by those numbers for two thousand years; . . . and some of them, 1.5 and 1.47 for instance — 'the Asses' Bridge' and 'the Windmill' — are now historical characters, and ...
Side vii
... Parallels," which is Part I of Curiosa Mathematica, 3rd ed., London, 1890, p. 14) : In every circle, the inscribed equilateral tetragon is greater than any one of the segments which lie outside it. Tables I and II are his nearest ...
... Parallels," which is Part I of Curiosa Mathematica, 3rd ed., London, 1890, p. 14) : In every circle, the inscribed equilateral tetragon is greater than any one of the segments which lie outside it. Tables I and II are his nearest ...
Side viii
... Parallels, the Manual of Euclid ; and thirdly, that no sufficient reasons have yet been shown for abandoning it in favour of any one of the modern Manuals which have been offered as substitutes. It is presented in a dramatic form ...
... Parallels, the Manual of Euclid ; and thirdly, that no sufficient reasons have yet been shown for abandoning it in favour of any one of the modern Manuals which have been offered as substitutes. It is presented in a dramatic form ...
Side xii
... Proposed changes which, if proved to be essential, would necessitate such abandonment: — . . .15 (1) Separation of Problems and Theorems; (2) Different treatment of Parallels. PAGE Other subjects of enquiry : — . . . xiv ARGUMENT OF DRAMA.
... Proposed changes which, if proved to be essential, would necessitate such abandonment: — . . .15 (1) Separation of Problems and Theorems; (2) Different treatment of Parallels. PAGE Other subjects of enquiry : — . . . xiv ARGUMENT OF DRAMA.
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