Advanced Euclidean Geometry (modern Geometry): An Elementary Treatise On The Geometry Of The Triange And The Circle

Advanced Euclidean Geometry (modern Geometry): An Elementary Treatise On The Geometry Of The Triange And The Circle
by R A Johnson / / / PDF


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There are fashions in mathematics as well as in clothes — and in both domains they have a tendency to repeat themselves. During the second half of the nineteenth century "Modern Geometry," in the sense of the content of the present book, aroused much interest and was prosecuted vigorously by a considerable number both in England and on the continent of Europe. Many beautiful new theorems were proved, most of them by elementary methods. Toward the end of the century this interest waned somewhat. The present appears to exhibit a revival of this interest. This is in large part due to the recognition of the value of this new material as training for the prospective teacher of geometry in our secondary schools. Here is indeed a discipline which is a natural "sequel" to elementary geometry, a body of propositions which may be derived by methods similar to those used in the classical plane geometry and which has all the attraction of novelty and inherent beauty. It is not surprising, therefore, that an increasing number of colleges and normal schools are introducing into their curricula courses in this " Modern Geometry."

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