Abstract
A CLOSE examination of this small treatise shows at a glance that the usual method of treatment has undergone considerable alteration. The proofs contained therein are of those theorems in the syllabus of modern plane geometry which was issued by the Association for the Improvement of Geometrical Teaching. The range of the subject treated may be gathered to a certain extent from the statement that the work is intended to serve as a sequel to Euclid, or to the “Treatise on Elementary Plane Geometry” issued by the above-mentioned Association, and, as the authors state, as a systematic means of procedure from Euclidean geometry to the higher descriptive geometry of conics and of imaginary points. The chapters treat of the geometry of the triangle, quadrangle and circle, harmonic ratio, geometrical maxima and minima, that relating to the first being fully considered and containing an introduction to more recent work on special points connected with the triangle. Other chapters deal with cross ratios, involution and reciprocal polars, and projection. The authors inform us that there has been practically no departure from the syllabus referred to above, with the exception of a few additions and the interpolated examples and problems. The theorems are for the most part accompanied by clearly drawn figures which considerably facilitate the rendering of the text.
Modern Plane Geometry.
By G. Richardson A. S. Ramsey (London: Macmillan and Co., 1894.)
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[Book Reviews]. Nature 50, 196 (1894). https://doi.org/10.1038/050196a0
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DOI: https://doi.org/10.1038/050196a0