Abstract
THIS text-book should evoke in the student a realization of the infinite possibilities opened up by the many geometries included in the general scheme in which the classical geometry of his curriculum occupies a very subsidiary place. Starting with the initial propositions of incidence of lines and points, the synthetic method is developed up to the interpretation of the more complex properties of the conic. Then, co-ordinate systems are introduced protectively, to lead to the definition in protective terms of distance and angle. The various metrical geometries, both Euclidean and non-Euclidean, are discussed, and Euclidean geometry is shown to be a special case of the general projective metrical geometry. An Introduction to Projective Geometry By C. W. O'Hara D. R. Ward. (Pp. ix + 298. (Oxford: Clarendon Press; London: Oxford University Press, 1937.) 12s. 6d. net.
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