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An Elementary Course in Synthetic Projective Geometry
Derrick Norman Lehmer
Parallel lines meet at infinity, and in projective geometry that is no paradox but a rule. Lehmer's elementary course builds the subject without coordinates, from the correspondence of fundamental forms to point-rows and their projections. A clean introduction to a beautiful, visual branch of mathematics. See geometry the way an artist and an algebraist would both recognize.
Every copy includes a printable PDF edition, a beautifully typeset book you can print, mark up in the margins, and keep on your shelf. Yours the moment you own it.
22 chapters
- 1Preface
- 2Contents
- 3CHAPTER I - ONE-TO-ONE CORRESPONDENCE
- 4PROBLEMS
- 5CHAPTER II - RELATIONS BETWEEN FUNDAMENTAL FORMS IN ONE-TO-ONE CORRESPONDENCE WITH EACH OTHER
- 6PROBLEMS
- 7CHAPTER III - COMBINATION OF TWO PROJECTIVELY RELATED FUNDAMENTAL FORMS
- 8PROBLEMS
- 9CHAPTER IV - POINT-ROWS OF THE SECOND ORDER
- 10PROBLEMS
- 11CHAPTER V - PENCILS OF RAYS OF THE SECOND ORDER
- 12PROBLEMS
- 13CHAPTER VI - POLES AND POLARS
- 14PROBLEMS
- 15CHAPTER VII - METRICAL PROPERTIES OF THE CONIC SECTIONS
- 16PROBLEMS
- 17CHAPTER VIII - INVOLUTION
- 18PROBLEMS
+ 4 more. The full contents open with the book.
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