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Méthodes Et Théories pour la Résolution des Problèmes de Constructions Géométriques - Softcover

Julius Petersen

 
9780282931506: Méthodes Et Théories pour la Résolution des Problèmes de Constructions Géométriques

Synopsis

This book presents a collection of theorems and problems in plane geometry, along with methods for solving them. It is aimed at students and teachers of geometry, and assumes no prior knowledge beyond elementary geometry. The book begins with a discussion of the basic concepts of geometry, such as points, lines, and angles. It then introduces the concept of a locus, which is the set of all points that satisfy a given condition. Loci are used to solve a variety of problems, such as finding the center of a circle or the midpoint of a line segment. The book also includes a discussion of geometric constructions, which are methods for drawing geometric figures using only a compass and straightedge. Constructions are used to solve a variety of problems, such as constructing a triangle given its three sides or constructing a circle given its center and radius. The author's approach to geometry is based on the belief that students learn best by doing. The book therefore includes a large number of exercises, both solved and unsolved. These exercises provide students with an opportunity to practice the techniques they have learned and to develop their problem-solving skills. This book is a valuable resource for anyone who wants to learn more about geometry. It is clearly written and well-organized, and it contains a wealth of information and exercises.

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