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The Divine Proportion

Author: H. E. Huntley
Publisher: Courier Corporation
ISBN: 0486131874
Size: 27.70 MB
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Discussion ranges from theories of biological growth to intervals and tones in music, Pythagorean numerology, conic sections, Pascal's triangle, the Fibonnacci series, and much more. Excellent bridge between science and art. Features 58 figures.

Divine Proportion

Author: Priya Hemenway
Publisher: Sterling Publishing Company, Inc.
ISBN: 9781402735226
Size: 37.98 MB
Format: PDF, ePub, Mobi
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The number Phi, simply defined, is one plus the square root of five, all divided by two. But its myriad occurrences in art, nature, and science have been a source of speculation and wonder for thousands of years. Divine Proportion draws upon both religion and science to tell the story of Phi and to explore its manifestations in such diverse places as the structure of the inner ear, the spiral of a hurricane, the majesty of the Parthenon, and the elusive perfection of the Mona Lisa. A universal key to harmony, regeneration, and balance, Phi is at the heart of a tantalizing story begun on clay tablets in ancient Babylon, and which will continue to be written for centuries to come.

Proportion

Author: Richard Padovan
Publisher: Taylor & Francis
ISBN: 1135811113
Size: 67.83 MB
Format: PDF, ePub
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This handbook provides readers with a well-illustrated and readable comparative guide to proportion systems in architecture, setting out the mathematical principles that underlie the main systems and illustrating these with examples of their use in historical and modern buildings. The main body of the text traces the interplay of abstraction and empathy through the history of science, philosophy and architecture from the early Greeks through to the two early twentieth-century architects who made proportion the focus of their work: Le Corbusier and Van der Laan. The book ends with a reflection on the present and future role of proportion in architecture.

Mathematics And The Physical World

Author: Morris Kline
Publisher: Courier Corporation
ISBN: 0486136310
Size: 72.17 MB
Format: PDF, ePub, Docs
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Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.

The Geometry Of Art And Life

Author: Matila Costiescu Ghyka
Publisher: Courier Corporation
ISBN: 9780486235424
Size: 24.95 MB
Format: PDF, ePub
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This classic study probes the geometric interrelationships between art and life in discussions ranging from dissertations by Plato, Pythagoras, and Archimedes to examples of modern architecture and art. Other topics include the Golden Section, geometrical shapes on the plane, geometrical shapes in space, crystal lattices, and other fascinating subjects. 80 plates and 64 figures.

The Glorious Golden Ratio

Author: Alfred S. Posamentier
Publisher: Prometheus Books
ISBN: 1616144246
Size: 21.77 MB
Format: PDF, Docs
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What 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. From the Hardcover edition.

The Golden Ratio

Author: Gary B. Meisner
Publisher: Race Point Publishing
ISBN: 076036026X
Size: 20.11 MB
Format: PDF, ePub, Mobi
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The Golden Ratio examines the presence of this divine number in art and architecture throughout history, as well as its ubiquity among plants, animals, and even the cosmos. This gorgeous book—with layflat dimensions that closely approximate the golden ratio—features clear, enlightening, and entertaining commentary alongside stunning full-color illustrations by Venezuelan artist and architect Rafael Araujo. From the pyramids of Giza, to quasicrystals, to the proportions of the human face, the golden ratio has an infinite capacity to generate shapes with exquisite properties. This book invites you to take a new look at this timeless topic, with a compilation of research and information worthy of a text book, accompanied by over 200 beautiful color illustrations that transform this into the ultimate coffee table book. Author Gary Meisner shares the results of his twenty-year investigation and collaboration with thousands of people across the globe in dozens of professions and walks of life. The evidence will close the gaps of understanding related to many claims of the golden ratio’s appearances and applications, and present new findings to take our knowledge further yet. Whoever you are, and whatever you may know about this topic, you’ll find something new, interesting, and informative in this book, and may find yourself challenged to see, apply, and share this unique number of mathematics and science in new ways.

The Curves Of Life

Author: Sir Theodore Andrea Cook
Publisher: Courier Corporation
ISBN: 9780486237015
Size: 69.35 MB
Format: PDF, ePub
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The significance of the spiral in nature, art, science, and the phenomena of life and growth is probed

Art And Geometry

Author: William M. Ivins
Publisher: Courier Corporation
ISBN: 0486143589
Size: 60.24 MB
Format: PDF, ePub, Docs
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This highly stimulating study observes many historical interrelationships between art and mathematics. It explores ancient and Renaissance painting and sculpture, the development of perspective, and advances in projective geometry.