Excerpt from An Elementary Treatise on Solid Geometry, Vol. 3 The present work is intended as an introductory text-book for the use of Students reading for the Mathematical Tripos. Many of the higher applications of the subject are therefore either omitted entirely or treated very briefly. At the same time the Author believes that the book includes as much as the great majority of Cambridge Students have time to master thoroughly, while those who are desirous of making farther acquaintance with the subject will perhaps find a work like the present not unsuitable as an introduction to the more complete treatises of Salmon and others. The Author begs to thank those of his friends who have kindly assisted him by revising the manuscript and proof sheets, and will feel obliged to any one who will offer corrections or improvements. Examples, selected chiefly from recent College and University Examination Papers, will be found at the end of each Chapter. Cambridge, August, 1865. 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.