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The Problem of Attention

The Problem of Attention


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About the Book

This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1902 edition. Excerpt: ... of the problems of the "applications of areas" and the introduction of irrational quantities, were prepared the instruments which came afterwards to be continually used by the most eminent of the ancient geometers, and to which must always recur whoever intends to follow their luminous footsteps. The destruction of the Pythagorean community did not extinguish the enthusiasm for mathematics among the admirers and followers of the philosopher of Samos; certainly we find in Hippocrates of Chios and Archytas of Tarentum, late disciples of Pythagoras, two strenuous workers in the research of geometric truth. Nor did the other philosophical sects which were afterwards so numerous in Greece remain indifferent to the progress of exact science: this is shown by what we know respecting Zeno and Democritus, Anaxagoras and Hippias, Plato and Aristotle, and the phalanx of thinkers who were instructed or directed by these. Thanks to the co-operation of so many great geniuses, there was laid so solid a foundation for the geometric edifice, that more than one judged that the time had come to organise into a body of doctrine the results of the investigations accomplished. Besides were studied thoroughly the three famous problems, the quadrature of the circle, the duplication of the cube, and the trisection of the angle, which gave opportunity (to Archytas, Eudoxus of Cnidos, and Deinostratus), for inventing important new lines plane and of double curvature. Moreover there were discovered and coordinated by Aristaaus the Elder, the properties and various applications made of those curves which Menaechmus discovered and Kepler was later to recognise as the trajectories of the planets; finally the conception of infinity makes timidly its ingress...


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Product Details
  • ISBN-13: 9781230036571
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 62
  • Spine Width: 3 mm
  • Width: 189 mm
  • ISBN-10: 1230036571
  • Publisher Date: 13 Sep 2013
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 127 gr


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