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Metrical Coordinates in Non-Euclidean Geometry

Published online by Cambridge University Press:  20 January 2009

D. M. Y. Sommerville
D. M. Y. Sommerville
Affiliation:
Victoria University College, Wellington, N.Z.
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§1. The coordinates considered are linear, i.e. in a plane the equation of a straight line, and in space the equation of a plane, is linear in the coordinates. We shall first consider point-coordinates in plane geometry, taking elliptic geometry as typical, with space-constant unity.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 3 , Issue 1 , March 1932 , pp. 16 - 25
Copyright
Copyright © Edinburgh Mathematical Society 1932

References

1 See, for example, Castelnuovo: Lezioni di geometria analitica (6th ed. 1924), p. 229;Google Scholar or the author's Geometry of n dimensions (Methuen, 1929), p. 55.Google Scholar