Configuration Theorems (Topics In Mathematics) | B. I. Argunov, L. A. Skornyakov

THIs BOOKLET presents several important configuration theorems, along with their applications to the study of the properties of figures and to the solutions of several practical problems. In doing this, the authors introduce the reader to some fundamental concepts of projective geometry-central projection and ideal elements of space. Only the most elementary knowledge of plane and solid geometry is presupposed.

Chapters 2 and 3 are devoted to the two most important configuration theorems, the Pappus-Pascal theorem and that of Desargues. The chapters which follow present applications of these theorems. Chapter 6 touches upon the algebraic interpretation of configuration theorems and the general method of arriving at such theorems.

Students who wish to learn more about this subject should consult the bibliography given at the end of the booklet.