Rational Geometry; A Text-Book for the Science of Space; Based on Hilbert's Foundations

George Bruce Halsted, 1924. Rational Geometry; A Text-Book for the Science of Space; Based on Hilbert's Foundations. This book is a thorough and systematic exposition of the principles and methods of rational geometry and space theory. The author has been concerned not so much with the mere statement of these principles as with their demonstration by means of appropriate geometrical constructions. In this way he has endeavored to provide a text-book which shall enable students to obtain a clear understanding of the subject without undue recourse to elementary geometry or trigonometry, and which shall be helpful also to those who wish to study it independently.