GEOMETRY OF CIRCLES POWER AXES AND INVERSION

Discover the fascinating world of circle geometry! This book is an ideal introduction to advanced mathematical concepts that form the foundation of many areas of science and technology. You will understand how power axes and inversion can be used to solve geometric problems.

• Concise and structured introduction to circle geometry.
• Extended version of lectures from the University of Warsaw.
• Problems from mathematics olympiads for high school students.
• Theory of power axes and inversion as an Olympic standard.
• Valuable addition to the geometry curriculum.
• Joy of discovering beautiful mathematical theories.

The book "Geometry of Circles. Power Axes and Inversion" is the result of the author's many years of experience in giving geometry lectures at the University of Warsaw. It is an expanded version of materials that were presented to students and are now available to a wider audience. The author has ensured that the theory is presented in an understandable and accessible way, even for those who are just beginning their journey into circle geometry. This publication is an excellent introduction to the subject, allowing the reader to gain a solid theoretical foundation as well as practical skills to apply the knowledge. With this book, circle geometry will become not only a fascinating field, but also a tool for solving problems and developing logical thinking.

The power axis and inversion are powerful tools in geometry that allow you to solve problems that seem difficult to solve using traditional methods. This study contains numerous examples of the application of these tools, which allow you to understand their essence and possibilities. Problems using power axes and inversion often appear in mathematics olympiads for high school students. Although this theory is not included in school geometry curricula, its charm has made it an Olympic standard in many countries, including Poland, and at the International Mathematical Olympiad (IMO). The author hopes that this booklet will be a valuable addition to the geometric curriculum and will give all geometry enthusiasts much joy in discovering this difficult but extremely beautiful theory...

This book, published by the renowned Omega Publishing House, guarantees high editorial and substantive quality. It contains 104 pages full of knowledge and inspiration, and its handy format (234x162x7 mm) makes it easy to take it with you everywhere. The paperback cover ensures durability and ease of use. The year of publication, 2021, proves that it is a current publication that takes into account the latest trends in geometry teaching. Whether you are a student, teacher or simply a mathematics enthusiast, this book will certainly enrich your knowledge and arouse your curiosity. Let yourself be carried away into the world of circle geometry and discover its extraordinary beauty and potential!