An Elementary Course in Synthetic Projective Geometry

The Project Gutenberg EBook of An Elementary Course in Synthetic Projective Geometry by Lehmer, Derrick Norman This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever.You may copy it, give it away or re-use it under the terms of the Project Gutenberg License included with this eBook or online at http://www.gutenberg.org/license Title: An Elementary Course in Synthetic Projective Geometry Author: Lehmer, Derrick Norman Release Date: November 4, 2005 [Ebook 17001] Language: English ***START OF THE PROJECT GUTENBERG EBOOK AN ELEMENTARY COURSE IN SYNTHETIC PROJECTIVE GEOMETRY*** An Elementary Course in Synthetic Projective Geometry by Lehmer, Derrick Norman Edition 1, (November 4, 2005) Preface The following course is intended to give, in as simple a way as possible, the essentials of synthetic projective geometry. While, in the main, the theory is developed along the well-beaten track laid out by the great masters of the subject, it is believed that there has been a slight smoothing of the road in some places. Especially will this be observed in the chapter on Involution. The author has never felt satisfied with the usual treatment of that subject by means of circles and anharmonic ratios. A purely projective notion ought not to be based on metrical foundations. Metrical developments should be made there, as elsewhere in the theory, by the introduction of infinitely distant elements.