The Divine Proportion

The Divine Proportion

Author: H. E. Huntley

Publisher: Courier Corporation

Published: 2012-06-08

Total Pages: 212

ISBN-13: 0486131874

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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.


The Golden Ratio

The Golden Ratio

Author: Gary B. Meisner

Publisher: Quarto Publishing Group USA

Published: 2018-10-23

Total Pages: 227

ISBN-13: 076036026X

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This enlightening and gorgeously illustrated book explores the beauty and mystery of the divine proportion in art, architecture, nature, and beyond. 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. Author Gary Meisner has spent decades researching the subject, investigating and collaborating with people across the globe in dozens of professions and walks of life. In The Golden Ratio, he shares his enlightening journey. Exploring the long history of this fascinating number, as well as new insights into its power and potential applications, The Golden Ratio invites you to take a new look at this timeless topic.


Divine Proportion

Divine Proportion

Author: Priya Hemenway

Publisher: Sterling Publishing Company Incorporated

Published: 2005

Total Pages: 203

ISBN-13: 9781402735226

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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.


Divine Proportions

Divine Proportions

Author: Norman John Wildberger

Publisher:

Published: 2005

Total Pages: 330

ISBN-13:

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"... introduces a remarkable new approach to trigonometry and Euclidean geometry, with dramatic implications for mathematics teaching, industrial applications and the direction of mathematical research in geometry" -- p. vii.


The Divine Proportions of Luca Pacioli

The Divine Proportions of Luca Pacioli

Author: W.A.W. Parker

Publisher: Barbera Foundation

Published:

Total Pages: 214

ISBN-13:

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Luca Pacioli stood beside the great Leonardo da Vinci and gazed at The Last Supper. He saw immediately that something was terribly wrong. An orphan from a small town in Italy, Pacioli came of age during the Renaissance seemingly destined for a life of struggle and obscurity. But Pacioli had the good fortune of meeting mentors who recognized his uncanny ability with numbers and introduced him to renowned artists and philosophers, royalty, and popes. At a time when many still used Roman numerals and colleges didn’t even teach mathematics, Pacioli was determined to share his passion and make it accessible and understandable. Apprentice to an artist, but a terrible artist himself, he became a master at calculating mathematical perspective in paintings. Tasked with teaching mathematics with no textbook, he wrote his own—followed by books on double-entry bookkeeping, chess, and the divine proportion. In this way, Luca Pacioli, “the father of accounting,” still has something to teach us—not just about mathematics—but about how we account for setbacks in our lives and how we determine what our legacy will be.


The Glorious Golden Ratio

The Glorious Golden Ratio

Author: Alfred S. Posamentier

Publisher: Prometheus Books

Published: 2011-12-20

Total Pages: 301

ISBN-13: 1616144246

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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.


Architectural Details Sketchbook

Architectural Details Sketchbook

Author: Romeo D. Ty

Publisher:

Published: 2013-07

Total Pages: 200

ISBN-13: 9780985516819

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Architectural Details Sketchbook is about hand-sketches of details ranging from the Mediterranean to the American styles. It was purposely created to promote accuracy in creating details and to discourage the use of guesswork. Its main intent is to share creative ideas as well to architects, designers, students, and individuals alike based on its cultural heritage of style.


The Golden Ratio

The Golden Ratio

Author: Steve Richards

Publisher: Union Square & Company

Published: 2016-11

Total Pages: 0

ISBN-13: 9781454710226

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The elegance of mathematics meets the creativity of art in this unique coloring book. The golden ratio is the mathematical equation that describes what many consider the "divine proportion," and it's found throughout nature, as well as in art and architecture. This stunning coloring book showcases the beauty of Fibonacci's most famous formula, exploring the many ways numbers and beauty combine. Logical and creative minds alike will enjoy filling in the spirals and designs in these remarkable images.


Mystifying Square, Divine Proportions - Nature's Black Box

Mystifying Square, Divine Proportions - Nature's Black Box

Author: Pauline Novak-Reich

Publisher: Pauline Reich

Published: 2014-11-01

Total Pages: 276

ISBN-13: 9781742984810

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This volume traces W.D. Gann's "Time Factor" and "Law of Vibration" back to the Chaldeans of 3000 BCE Sumer whose principal aspiration was to understand the motion of time. They divided time into years, months, weeks, days, hours, minutes and seconds and devised calendars which helped them predict, and therefore survive, their two rivers' ravaging floods. Inadvertently, their findings also solved the mystery behind the ups and down of money markets. From ancient Sumer to Egypt, ancient China to the native peoples of Central and North America, civilisations unlikely to have had contact with each other built remarkably similar monuments according to geometrical proportions designed to embody cosmic knowledge that would last for all time. Each deciphered time cycles, created calendars and made long term projections of natural phenomena. The Square-of-9 is a matrix embodying nature's cosmic clock. Pauline Novak-Reich takes the reader through ancient math, sacred geometry and lore demonstrating the extraordinary achievements of people who lived in tandem with nature. Each one of these civilisations discovered Nature's "Black Box." Gann often reiterated that: "Everything in existence is based on exact proportion and perfect relationship. There is no chance in nature; because mathematical principles of the highest order lie at the foundation of all things...Vibration is fundamental: nothing is exempt from this law. It is universal, therefore applicable to every class of phenomena on the globe."


The Harmony of the World

The Harmony of the World

Author: Johannes Kepler

Publisher: American Philosophical Society

Published: 1997

Total Pages: 618

ISBN-13: 9780871692092

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The authors have presented and interpreted Johannes Kepler's Latin text to English readers by putting it into the kind of clear but earnest language they suppose Kepler would have used if he had been writing today.