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On the substitution of Wallis's Postulate of Similarity for Euclid's Postulate of Parallels

  • M. J. M. Hill (a1)
Extract

In the year 1663 John Wallis, Savilian Professor of Geometry in the University of Oxford, delivered a lecture in which he claimed that he had proved Euclid's Postulate of Parallels according to the strictest laws of demonstration after Euclid's manner.

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COPYRIGHT: © Cambridge Philosophical Society 1925
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* See p. 674 of the 2nd volume of Wallis's Collected Works.

* See also Note 2 at the end of this paper.

* This proof is due to Professor Nunn (see Mathematical Gazette, May 1922).

* The proof of this proposition is included here because Euclid uses it in his proof of I. 27.

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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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