A Treatise on the Application of Analysis to Solid Geometry


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Excerpt from A Treatise on the Application of Analysis to Solid Geometry This work was commenced by Sir. Gregory in the course of the year 1842; and in the Autumn of 1843 had received his final revision as far as the end of Chapter XI.: he had likewise made numerous extracts from various sources preparatory to writing Chapters XII., XIII., XIV., XV.; and had arranged a collection of Problems which, with slight additions, forms the subject of Chapter xvi., the last of the Treatise. His further progress in this work was unhappily arrested by death. Having, in accordance with the last wishes of my most valued friend, undertaken the completion of this work, I have fulfilled my task to the best of my ability. It is hoped that the natural difficulty of bringing to a conclusion a treatise commenced by another, will secure for me the indulgence of the reader. The principal object of this Treatise is to develop a system of Solid Geometry, in a form suitable to mathematical students, by means of symmetrical equations. The general advantage of symmetry in this branch of mathematics is so striking, that the utility of such a work will be at once recognized. 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.




Descriptive Geometry


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Excerpt from Descriptive Geometry: A Treatise From a Mathematical Standpoint, Together With a Collection of Exercises and Practical Applications Descriptive geometry is essentially a mathematical subject. The application of its principles to the making of working drawings, however, and the modifications which are made to suit the contingencies of practice, have had a tendency to obscure this fact, and like other theoretical subjects it has suffered mutilation in the interest of short cuts to immediate practical uses. But does not technical education, after all, consist chiefly in an equipment of sound theory? It has been the author's purpose to refrain from any attempt to hold the student's interest by clothing a few principles with some immediate pratical application, but instead, to present a sound theoretical treatment. How well he has succeeded he leaves others to judge. The principles are herein formulated under theorems, as in plane and solid geometry; illustrative problems are solved in accordance with these theorems and special constructions discussed. The plan of; at least, one well know text is followed of dividing all problems into two parts; the first of which is a statement of the geometrical principles and the theoretical solution called an analysis; the second is a description of the graphic solution, accompanied by a drawing. An important feature is added, however, of giving the statement of the geometrical conditions and the solution in the analysis in a general form, instead of being made to refer to a certain kind of problem exclusively. 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.




Analytic Geometry (Classic Reprint)


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Excerpt from Analytic Geometry While the book is to be regarded as a text-book of plane analytic geometry, the concluding chapter is devoted to solid geometry. Only the barest outline of some of the fundamental principles of this subject is included, enough to enable the student, when he studies calculus, and wishes to apply its principles to problems involving solids and surfaces, to feel that he is not on entirely new ground. 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.




The Athenaeum


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Athenaeum


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The Athenaeum


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