Published by . Isaac Moiseevich Yaglom's two-volume book "Geometric Transformations" is undoubtedly one of the main, reference books for schoolchildren who study geometry deeply, serves as a valuable help for their teachers for many decades. The book was published in the 50s in a relatively small print run (1st volume - 1955, 25,000, 2nd volume - 1956, 15,000). Paper versions of this remarkable book have long become a bibliographic rarity and are not available in all even large libraries. by the author. This book, consisting of two volumes, is devoted to elementary geometry. During most of the 19th century, a very extensive material was accumulated in elementary geometry. Many beautiful and unexpected theorems about circles, triangles, polygons, etc. have been proven. d. But, in addition to specific theorems, elementary geometry contains two more large general ideas that formed the basis for all further development of geometry and the value of which goes far beyond even this fairly broad framework. We are talking about the deductive method and axiomatic substantiation of geometry, firstly, and about geometric transformations and theoretical-group substantiation of geometry, secondly. These ideas are very substantial and fruitful; both of them, in their direct development, lead to non-Euclidean geometries. The disclosure of one of these ideas - the idea of the theoretical and group substantiation of geometry - constitutes the main task of the book. Content. Foreword by . Instructions for use of the book. The first . MOVEMENT. Introduction. What is geometry? (Inception). Chapter I. Own movements. ? 1. Parallel Transfer. ? 2. Symmetry with respect to point and rotation. Chapter II. Symmetry. ? 1. Symmetry relative to straight line and sliding symmetry. ? 2. Self-equal and mirror-equal figures. Classification of plane movements. Part 2 . TRANSFORMATION SIMILARITY . Introduction. What is geometry? (Continued). Chapter I. Classification of Similarity Transformations. ? 1. Central-like transformation (homothetia). ? 2. Central-like rotation and central-like symmetry. Self-similar and center-like figures. Chapter II. Further applications of similar motions and transformations. 1. Systems similar to each other figures . 2. Applying motions and transformations of similarity to solving problems at minimum and maximum. TASK SOLUTIONS. The first . Movement. Part 2 . Similarity conversions. List of problems, other solutions of which are contained in other books. The second volume of the book . Other issues of the series on the website. Issue. 1 - Chentsov N. N. , Shklyarsky D. About. , Yaglom I. M. Selected Problems and Theorems of Elementary Mathematics . Arithmetic and Algebraic . Issue. 2 - Chentsov N. N. , Shklyarsky D. About. , Yaglom I. M. Selected Problems and Theorems of Elementary Mathematics . Geometry (planimetry), Vyp. 3 - Chentsov N. N. , Shklyarsky D. About. , Yaglom I. M. Selected Problems and Theorems of Elementary Mathematics . Geometry (stereometry), Vyp. 4 - Boltyansky V. G. , Yaglom I. M. Convex Figures . Issue. 5 - Yaglom I. M. , Yaglom A. M. Non-elementary tasks in elementary presentation. Issue. 6 - Dynkin E. B. , Uspensky V. A. Mathematical Conversations . More on ?elementary geometry?Adamar J. Elementary Geometry . T. 1. Planimetry. Adamar J. Elementary Geometry . T. 2. Stereometry. Atanasyan L. C. and others. Geometry. Grades 7-9. Atanasyan L. C. and others. Geometry. Grades 10-11 . Bakelman I. I. Inversion. Weber G. , Welstein E. , Jacobsthal W. Encyclopedia of Elementary Mathematics . Volume II. Encyclopedia of Elementary Geometry . Book I. Foundations of Geometry. Weber G. , Jacobsthal W. Encyclopedia of Elementary Mathematics . Volume II. Encyclopedia of Elementary Geometry . Books II and III . Trigonometry. Analytical Geometry and Stereometry . Kiselev A . P. Geometry (planimetry, stereometry), Pogorelov A. In. Geometry. Grades 7-11 . Perelman I. and . Interesting geometry . Fetisov A . and . Proof in Geometry . Encyclopedia of Elementary Mathematics . Kn. 4. Kn. 5. Geometry. / under ed. P. C. Aleksandrova, A. and . Markushevich, A. I. Hinchin . Buy the book: urss. ru