## The Glorious Golden RatioWhat exactly is the Golden Ratio? How was it discovered? Where is it found? These questions and more are thoroughly explained in this engaging tour of one of mathematics' most interesting phenomena. The authors trace the appearance of the Golden Ratio throughout history, demonstrate a variety of ingenious techniques used to construct it, and illustrate the many surprising geometric figures in which the Golden Ratio is embedded. Requiring no more than an elementary knowledge of geometry and algebra, the authors give readers a new appreciation of the indispensable qualities and inherent beauty of mathematics. |

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#### LibraryThing Review

User Review - fpagan - LibraryThingNot the first book on that most astonishing of irrational but non-transcendental numbers phi = (sqrt(5) + 1) / 2 = 1.61803..., but could there ever be too many? Popular-level, if heavy use of high ... Read full review

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angle bisector apply the Pythagorean approximation arbelos arctan base Binet formula bisects Chapter circumscribed circle consider construct a circle continue this process continued fraction cube cuboid CURIOSITY diagonal dimensions divergence angle divide dodecahedron edges ellipse equal equation equilateral triangle famous Fibonacci numbers fractal Furthermore geometric gives golden angle golden pyramid golden ratio golden rectangle golden rhombus GOLDEN SECTION CONSTRUCTION golden spiral golden triangle height hypotenuse icosahedron infigure inscribed circle inthe irrational numbers isosceles Johannes Kepler lattice line segment Lucas mathematician mathematics notice numerical value octahedron ofthe golden parallelogram partitions pattern pentagram perpendicular primordia Pythagorean theorem quadrilateral radii radius real numbers reciprocal regular pentagon relationship rhombus right triangle semicircle sequence shaded region shown in figure side length sides of length square tangent thatthe thegolden ratio theorem to triangle tothe trapezoid triangle ABC vertex vertices