Non-Euclidean Geometry (Classic Reprint)

Yrarrs l-ovdjrci oT PREFACE Non-E uclidean Geometry is now recognized as an important branch of Mathematics. Those who teach Geometry should have some knowledge of this subject, and all who are interested in Mathematics will find much to stimulate them and much for them to enjoy in the novel results and views that it presents. This book is an attempt to give a simple and direct account of theN on-E uclidean Geometry, and one which presupposes but little knowledge of Mathematics. The first three chapters assume a knowledge of only Plane andS olid Geometry and Trigonometry, and the entire book can be read by one who has taken the mathematical courses commonly given in our colleges. No special claim to originality can be made for what is published here. The propositions have long been established, and in various ways. Some of the proofs may be new, but others, as already given by writers on this subject, could not be improved. These have come to me chiefly through the translations of Professor George Bruce Halsted of the University ofT exas. I am particularly indebted to my friend, Arnold B. Chace, Sc.D., of Valley Palis, E. I., with whom I have studied and discussed the subject. HENRY P. MANNING. Providence, January,
(Typographical errors above are due to OCR software and don't occur in the book.)

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