Solid Geometry (Classic Reprint)

Angebote / Angebote:

Excerpt from Solid GeometryIn this book I have endeavored to 'present a treatment of the usual course in solid geometry more complete in logical structure than that of the textbooks commonly used, but at the same time essentially clear and simple.The Introduction, consisting of axioms, definitions, and introductory theorems, is intended for reference and also for introductory use at the discretion of the instructor. The theorems included in 11 - 26 are not necessary to what fol lows. In practice they have been found helpful, however, in quickening the student's perception of space relations.The names pencil of lines, pencil of planes, bundle of lines, bundle of planes, are used because in practice they have been found very convenient.Theorems essential to the main argument of the book, together with those few additional theorems recommended by the Committee of Ten, are as a rule proved in full.The order of the propositions has been chosen as affording a natural and attractive unfolding of the basal principles of the subject. If, however, it is thought desirable to place 7 7 - 85 before the theorems on parallel lines, because of the likeness of the proofs of these theorems to the proofs in plane geometry, this can be done at the pleasure of the instructor.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis 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.