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This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.
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This work was commenced by Mr. Gregory in the course ijjof 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 hadJ 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 natiual 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.
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