Synopsis
The digital edition of all books may be viewed on our website before purchase. Excerpt from Constructive Text-Book of Practical Mathematics, Vol. 3 (Classic Reprint)
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Présentation de l'éditeur
In this period of education when every study is measured by its vocational value, one must be wise indeed not to be misled into the belief that geometry is of value in the business or industry or profession in which one shall engage, only when its study is interspersed with every conceivable application. Yet the supreme value of demonstrative geometry to a boy or girl or to an older person, consists not in the various ways in which it may be applied, but in the fact that its study, when uninterrupted by extraneous material, gives the ability to think clearly and logically. The development of reason through the use of the mind in reasoning, and the minds inherent self-activity, are therefore two of the unchallenged facts which underly the subject-matter and method of this book. The knowledge and acceptance of these principles are as general as is their disregard. With hardly an exception demonstrative geometries fromE uclid to the present, in method of presentation are essentially Euclidean. Theorem, figure, hypothesis, conclusion, and Q. E. D. ,succeed each other in undeviating order. The results of the use of this method are inevitable. Students naturally mathematical acquire a formal knowledge of geometry and a restricted developCO ment of reason; others develop memory of demonstrations, only.
(Typographical errors above are due to OCR software and don't occur in the book.)
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