Edited by Titu Andreescu, University of Texas at Dallas, Dorin Andrica and Paul Blaga, Babeş-Bolyai University, Cluj-Napoca, Romania, and Dan Bränzei
| Hardcover ISBN: | 978-0-9968745-1-9 |
| Product Code: | XYZ/17 |
| List Price: | $89.95 |
| AMS Member Price: | $71.96 |
Edited by Titu Andreescu, University of Texas at Dallas, Dorin Andrica and Paul Blaga, Babeş-Bolyai University, Cluj-Napoca, Romania, and Dan Bränzei
| Hardcover ISBN: | 978-0-9968745-1-9 |
| Product Code: | XYZ/17 |
| List Price: | $89.95 |
| AMS Member Price: | $71.96 |
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Book DetailsXYZ SeriesVolume: 17; 2016; 580 ppMSC: Primary 00; 97
This book is an English translation of a text written by Constantin Mihalescu, a retired artillery colonel and enthusiastic amateur mathematician. It contains a comprehensive collection of the most important properties of points, lines, and circles related to triangles and quadrilaterals, as they were known by the mid-1950s, and a rich assortment of problems to entice and inspire readers of all levels. Topics covered include the nine-point circle, the Simson line, the orthopolar triangles, the orthopole, the Gergonne and Nagel points, the Miquel point and circle, the Carnot circle, the Brocard points, the Lemoine point and circles, the Newton-Gauss line, and much more.
A publication of XYZ Press. Distributed in North America by the American Mathematical Society.
ReadershipYoung students and problem solvers, as well as geometers interested in elementary geometry.
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Reviews
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This wonderful compendium, a triumph of triangle exegesis, is by a retired artillery colonel and avid mathematics enthusiast. Compiling results from a century ago and earlier, the work's charm is its comprehensive curation of a dizzying gallery of special points, lines, and circles related to triangles and a few other shapes, such as quadrilaterals.
Tom Schulte, MAA Reviews
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This book is an English translation of a text written by Constantin Mihalescu, a retired artillery colonel and enthusiastic amateur mathematician. It contains a comprehensive collection of the most important properties of points, lines, and circles related to triangles and quadrilaterals, as they were known by the mid-1950s, and a rich assortment of problems to entice and inspire readers of all levels. Topics covered include the nine-point circle, the Simson line, the orthopolar triangles, the orthopole, the Gergonne and Nagel points, the Miquel point and circle, the Carnot circle, the Brocard points, the Lemoine point and circles, the Newton-Gauss line, and much more.
A publication of XYZ Press. Distributed in North America by the American Mathematical Society.
Young students and problem solvers, as well as geometers interested in elementary geometry.
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This wonderful compendium, a triumph of triangle exegesis, is by a retired artillery colonel and avid mathematics enthusiast. Compiling results from a century ago and earlier, the work's charm is its comprehensive curation of a dizzying gallery of special points, lines, and circles related to triangles and a few other shapes, such as quadrilaterals.
Tom Schulte, MAA Reviews
