Transcription of PROBLEMS IN PLANE AND SOLID GEOMETRY v.1 Plane …
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PROBLEMS IN PLANE AND SOLID GEOMETRY v.1 Plane …
PROBLEMS IN PLANE AND PLANE GeometryViktor Prasolovtranslated and edited by Dimitry book has no equal. The priceless treasures of elementary GEOMETRY arenowhere else exposed in so complete and at the same time transparent form. The shortsolutions take barely 2 times more space than the formulations, while still remainingcomplete, with no gaps whatsoever, although many of the PROBLEMS are quite difficult. Onlythis enabled the author to squeeze about 2000 PROBLEMS on PLANE GEOMETRY in the book ofvolume of ca 600 pages thus embracing practically all the known PROBLEMS and theoremsofelementary book contains non-standard geometric PROBLEMS of a level higher than that of theproblems usually offered at high school. The collection consists of two parts. Itis based onthree Russian editions of Prasolov s books on PLANE text is considerably modified for the English edition. Many new PROBLEMS are addedand detailed structuring in accordance with the methods of solution is book is addressed to high school students, teachers of mathematics, mathematicalclubs, and college s preface11 From the Author s preface12 chapter 1.
CHAPTER 4. AREA 79 Background 79 Introductory problems 79 §1. A median divides the triangle into triangles of equal areas 79 §2. Calculation of areas 80 §3. The areas of the triangles into which a quadrilateral is divided 81 §4. The areas of the parts into which a quadrilateral is divided 81 §5. Miscellaneous problems 82 * * * 82 §6.
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