With the books in this series, students, as well as anyone interested in Geometry, have the opportunity to encounter the current standard of geometric requirements worldwide, from the classroom to the International Mathematical Olympiad.
The first volume of the series consists of six sections:
- The first section summarizes all the basic, school-level theory regarding triangles, quadrilaterals, and the circle. Simple applications are interspersed within the theory to clarify the most important points. Towards the end, a few significant exercises that touch on the level of competitions and Olympiads are given as proposed topics of increasing difficulty.
- The second section provides exercises of all levels, focused solely on triangles and quadrilaterals, so that even students in lower grades can study or practice solving demanding problems.
- The third section forms the core of the book concerning theory. Here, the most important theorems are presented, such as Euler's line, Simson's line, Euler's circle, Miquel's theorems for the complete quadrilateral, Brocard points for triangles, and other significant topics.
- In the fourth section, we engage with exercises on the circle, inscribed figures, and general competition and Olympiad topics. Exercises from the International Mathematical Olympiad, along with their solutions, have been included, as well as problems from this competition's shortlist.
- Finally, in the fifth and sixth sections, there are additional exercises of all levels that relate to all the material covered so far.
Manufacturer
- Author
- CHaralampos Stergiou
- Publisher
- Savvalas
- Type
- Mathematics of Positive Sciences
- Language
- Greek
- Subtitle
- Triangles, quadrilaterals, circle, writable
- Cover
- Soft
- Number of Pages
- 638
- Release Date
- 1/2011
- Publication Date
- 2011
- Dimensions
- 17x24 cm
- ISBN-13
- 9789604930357
Important information
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