{"product_id":"ruler-and-the-round-classic-problems-in-geometric-constructions-9780486425153","title":"Ruler and the Round: Classic Problems in Geometric Constructions","description":"Although easy to comprehend and fun to do, many geometric constructions defy completion with just a ruler and a compass. This book takes an intriguing look at the most famous of these \"impossible\" constructions. \u003cbr\u003eIn exploring ground rules, history, and angle trisection, the first part considers angle trisection and bird migration, constructed points, analytic geometry, algebraic classification of constructible numbers, fields of real numbers, cubic equations, and marked ruler, quadratix, and hyperbola (among other subjects). The second part treats nonconstructible regular polygons and the algebra associated with them; specifically, irreducibility and factorization, unique factorization of quadratic integers, finite dimensional vector spaces, algebraic fields, and nonconstructible regular polygons. \u003cbr\u003eHigh school and college students as well as amateur mathematicians will appreciate this stimulating and provocative book, and its glimpses into the crucial role geometry plays in a wide range of mathematical applications.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Dover Publications\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/20\/2011\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780486425153\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 160\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.38lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.22h x 1.49w x 0.32d","brand":"Nicholas D. Kazarinoff","offers":[{"title":"Default Title","offer_id":36637772644508,"sku":"9780486425153","price":9.31,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0473\/0804\/6492\/products\/img_c755a5d9-895f-4c85-a6d8-89d94e89d833.jpg?v=1603845652","url":"https:\/\/pastforward.org\/products\/ruler-and-the-round-classic-problems-in-geometric-constructions-9780486425153","provider":"Past Forward","version":"1.0","type":"link"}