Abstract
Orthodox elementary geometry deals principally with the metrical properties of space, based on Euclid's axioms. In the modern developments of geometry the metrical properties are a secondary consideration. The study of ordered aggregates of spatial elements, such as points, lines and planes, became a powerful weapon in the hands of the geometers of the last few generations, and one of the most useful forms of this study is the method of transformations and correspondences. M. Malet sets himself the task of presenting the fundamental ideas of correspondences, leading up to the generalised type which forms the title of his book. As is natural he offers first a careful study of homographic correspondences of points on straight lines, then the method of projection, coming finally to birational transformations. His method is purely geometrical.
Étude géométrique des transformations birationnelles et des courbes planes.
Par Henri Malet. Pp. viii + 261. (Paris: Gauthier-Villars et Cie, 1921.) 32 francs net.
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B., S. Étude géométrique des transformations birationnelles et des courbes planes . Nature 110, 276 (1922). https://doi.org/10.1038/110276a0
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DOI: https://doi.org/10.1038/110276a0