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

Published online by Cambridge University Press:  24 October 2008

M. J. M. Hill
M. J. M. Hill
Affiliation:
Peterhouse
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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.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 22 , Issue 6 , November 1925 , pp. 964 - 969
Copyright
Copyright © Cambridge Philosophical Society 1925

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References

* See p. 674 of the 2nd volume of Wallis's Collected Works.Google Scholar

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

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

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