{"schema_version":"bf_book_companion_v1","release_id":"20261010T034321Z-reviewed-full-unique-works","book":{"amazon_purchase_url":"https://www.amazon.com/dp/1616145870?tag=bookfrontie00-20","asin":"1616145870","authors":["Alfred S. Posamentier","Ingmar Lehmann"],"book_id":"9781616145873","canonical_url":"https://bookfrontier.com/books/secrets-of-triangles-9781616145873","cover_image_url":"https://img.bookfrontier.com/9781616145873.jpg?v=8b7cb1ea48c12561","description":"Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing \"secrets.\" For example, if a circle is inscribed in any random triangle and then three lines are drawn from the three points of tangency to the opposite vertices of the triangle, these lines will always meet at a common point - no matter what the shape of the triangle. This and many more interesting geometrical properties are revealed in this entertaining and illuminating book about geometry. Flying in the face of the common impression that mathematics is usually dry and intimidating, this book proves that this sometimes-daunting, abstract discipline can be both fun and intellectually stimulating. The authors, two veteran math educators, explore the multitude of surprising relationships connected with triangles and show some clever approaches to constructing triangles using a straightedge and a compass. Readers will learn how they can improve their problem-solving skills by performing these triangle constructions. The lines, points, and circles related to triangles harbor countless surprising relationships that are presented here in a very engaging fashion.Requiring no more than a knowledge of high school mathematics and written in clear and accessible language, this book will give all readers a new insight into some of the most enjoyable and fascinating aspects of geometry.","forthcoming":false,"isbn13":"9781616145873","publication_date":"20120824","publisher":"Globe Pequot Publishing","slug":"secrets-of-triangles","subtitle":"A Mathematical Journey","title":"Secrets of Triangles"},"discovery":{"categories":{"all":[{"bisac_code":"MAT012010","confidence_band":"medium","label":"Algebraic Geometry","score":0.765,"source":"bisac_hint_model"},{"bisac_code":"JNF035050","confidence_band":"medium","label":"Geometry","score":0.7627,"source":"bisac_hint_model"},{"bisac_code":"MAT002010","confidence_band":"medium","label":"Abstract Algebra","score":0.7464,"source":"bisac_hint_model"}],"hint":[{"bisac_code":"MAT012010","confidence_band":"medium","label":"Algebraic Geometry","score":0.765,"source":"bisac_hint_model"},{"bisac_code":"JNF035050","confidence_band":"medium","label":"Geometry","score":0.7627,"source":"bisac_hint_model"},{"bisac_code":"MAT002010","confidence_band":"medium","label":"Abstract Algebra","score":0.7464,"source":"bisac_hint_model"}],"publisher":[{"bisac_code":"MAT012020","confidence_band":"high","label":"Analytic Geometry","score":1,"source":"onix_publisher_code"},{"bisac_code":"MAT015000","confidence_band":"high","label":"History & Philosophy of Math","score":1,"source":"onix_publisher_code"}]},"genres":[{"label":"Algebraic Geometry","score":0.765,"slug":"algebraic-geometry"},{"label":"Geometry","score":0.7627,"slug":"geometry"},{"label":"Abstract Algebra","score":0.7464,"slug":"abstract-algebra"}],"reader_fit":["Readers with high-school math seeking an accessible introduction to geometry","Good for readers interested in triangle construction and geometric problem-solving"],"related_lists":[],"series":null,"similar_books":[{"authors":["Mark Ryan"],"book_id":"9781119181552","cover_image_url":"https://img.bookfrontier.com/9781119181552.jpg?v=9304e243738ffae5","score":0.7324,"title":"Geometry for Dummies","url":"https://bookfrontier.com/books/9781119181552"},{"authors":["Miranda Lundy"],"book_id":"9780802713827","cover_image_url":"https://img.bookfrontier.com/9780802713827.jpg?v=52fcee9303901a46","score":0.7299,"title":"Sacred Geometry","url":"https://bookfrontier.com/books/9780802713827"},{"authors":["Larry Gonick"],"book_id":"9780063157576","cover_image_url":"https://img.bookfrontier.com/9780063157576.jpg?v=2a8940f439a47abe","score":0.7293,"title":"The Cartoon Guide to Geometry","url":"https://bookfrontier.com/books/9780063157576"},{"authors":["Arthur Benjamin","Michael Shermer"],"book_id":"9780307338402","cover_image_url":"https://img.bookfrontier.com/9780307338402.jpg?v=22797d56423b8322","score":0.7213,"title":"Secrets of Mental Math","url":"https://bookfrontier.com/books/9780307338402"},{"authors":["Dan Green"],"book_id":"9780753465974","cover_image_url":"https://img.bookfrontier.com/9780753465974.jpg?v=f36dd695d8bb17f2","score":0.7211,"title":"Basher Science: Algebra and Geometry","url":"https://bookfrontier.com/books/9780753465974"},{"authors":["David A. 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