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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

The following is an alternative to Proposition II of the former paper. It does not assume the second of the initial assumptions in Art. 2, nor does it assume that the angles supplementary to equal angles are equal, which Hilbert regards as a proposition (Foundations of Geometry, p. 18 of the English translation).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 23 , Issue 1 , February 1926 , pp. 19 - 21
Copyright
Copyright © Cambridge Philosophical Society 1926

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References

* Proc Camb. Phil. Soc. vol. 22 (1925), pp. 964–9.Google Scholar