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The Axioms of Geometry*

Published online by Cambridge University Press:  03 November 2016

H. G. Forder
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Extract

It is generally recognised that the proofs given in the school text-books on Geometry are incomplete and that many theorems are assumed because they are intuitively ‘obvious,’ and one of my aims this afternoon is to show wherein this incompleteness lies and to state the ‘obvious’ assumptions.

Type
Research Article
Information
The Mathematical Gazette , Volume 14 , Issue 199 , March 1929 , pp. 321 - 331
Copyright
Copyright © Mathematical Association 1929

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Footnotes

*

A lecture delivered at the Annual Meeting of the Mathematical Association, Jan. 7, 1929.

References

page 321 note † A ray is the set of points on a line on one side of a fixed point, the ‘origin’ of the ray. Cf. below, § 7.

page 323 note * These conditions do not provide tor a zero magnitude; and, as a rule, we do not need a zero angle; in fact such an angle would be a nuisance.

page 327 note * See last year’s Presidential Address.

page 327 note † The results following assume the Multiplicative Axiom.