This thought-provoking book guides readers through an in-depth exploration of geometrical theorems, uncovering their significance and providing a profound understanding of their applications. The author presents a structured approach, beginning with the fundamental postulates of Euclidean geometry and gradually progressing through more advanced concepts. Each theorem is meticulously dissected, revealing its intricate relationships with other mathematical principles. The text employs clear and accessible language, making it an invaluable resource for students, educators, and anyone seeking to enhance their geometrical knowledge. Through a series of solved examples and practice deductions, the author skillfully demonstrates how theorems can be applied to solve complex geometrical problems. This book not only provides a comprehensive understanding of Euclidean geometry but also fosters critical thinking and problem-solving abilities, making it an indispensable tool for anyone passionate about mathematics and its practical applications.
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Excerpt from A Text-Book of Geometrical Deductions, Vol. 1: Corresponding to Euclid, Book I
Alge bra, for the Use of Schools and Colleges. London Sampson Low, Martin, Searle, and Rivington. Price 55.
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Excerpt from A Text-Book of Geometrical Deductions, Vol. 1: Corresponding to Euclid, Book I
The object of this treatise is to afford a systematic course of training in the art of solving Geometrical Deductions or Eiders. With this view it is divided into sections, each section consisting of three parts. There is first a deduction worked out in full, which is intended to serve as a model for the student. This is followed by a number of similar deductions, which are to be written out by the student, the figure being given in each case, and such hints regarding the mode of solution as experience shows are required by beginners. Lastly, each section contains some deductions to be accomplished without this aid, no figures or assistance being given except an occasional reference to the proposition on which the proof depends, or to a previous example.
As a rule it is desirable that the proofs should depend upon propositions of Euclid, and not upon previous examples, the only exception being in the case of certain standard theorems which are indicated in the text.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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