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Cambridge Tracts in Mathematics and Mathematical Physics. (Cambridge University Press.) - No. 4. The Axioms of Projective Geometry. By A. N. Whitehead, Sc.D., F.R.S. 2s. 6d. net. - No. 5. The Axioms of Descriptive Geometry. By the same. 2s. 6d. net.

Published online by Cambridge University Press:  03 November 2016

F. S. M.
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The Mathematical Gazette , Volume 4 , Issue 72 , June 1908 , pp. 287 - 290
Copyright
Copyright © Mathematical Association 1908

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References

* From here onwards we use the terms projective and descriptive in the sense of the author. The distinction made between them is that in projective geometry and projective space two co-planar lines have always one, and only one, intersectibn ; in descriptive geometry and descriptive space they have one intersection or none.

page note 289 * Not apparently without exception, however ; for Axiom V. (p. 8) says, “ If A, B are distinct points there exists a point C such that A, B, C are in the order ABC.” This is not true if B is on the boundary of the convex region.