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Author: H. E. Huntley
Publisher: Courier Corporation
Published: 2012-06-08
Total Pages: 208
ISBN-13: 0486131874
DOWNLOAD EBOOK →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.
Author: Gary B. Meisner
Publisher: Quarto Publishing Group USA
Published: 2018-10-23
Total Pages: 227
ISBN-13: 076036026X
DOWNLOAD EBOOK →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.
Author: Priya Hemenway
Publisher: Sterling Publishing Company Incorporated
Published: 2005
Total Pages: 203
ISBN-13: 9781402735226
DOWNLOAD EBOOK →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.
Author: W.A.W. Parker
Publisher: Barbera Foundation
Published:
Total Pages: 214
ISBN-13:
DOWNLOAD EBOOK →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.
Author: Pauline Novak-Reich
Publisher: Pauline Reich
Published: 2014-11-01
Total Pages: 276
ISBN-13: 9781742984810
DOWNLOAD EBOOK →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."
Author: Lieselotte Kugler
Publisher: Hirmer Verlag GmbH
Published: 2016
Total Pages: 232
ISBN-13:
DOWNLOAD EBOOK →Does a mystic, divine formula lie behind everything that is beautiful? For centuries the golden mean has been a subject of endless fascination. The ratio of the proportion can be seen in Nature; it runs through artistic design processes and it affects our perception of our surroundings. But how much of this apparent 'world formula' is true, and how much of it is myth? The history of the golden mean begins with Euclid in the 3rd century BC. But it was only in the 19th century that it was raised to the universal constant of beauty. From this point onwards the 'golden section' was described in flora and fauna; the famous Fibonacci number. It determines the growth of the pineapple; and Le Corbusier optimised architecture by means of the Modulor. But does this art-historical phenomenon really play a universal role in the organisation of our world? Authors from all fields analyse the Golden Mean with regard to function, demonstrability and relevance, also by means of current examples from art and design as well as in comparison with the DIN and the tatami measurement. Exhibition: Museum für Kommunikation, Berlin, Germany (08.09.2016-28.02.2017) / Museum für Kommunikation, rankfurt, Germany (17.03.-27.08.2017). Essays by W. Beinert, A. Beutelspacher, M. Braun, W. Busch, C. Erbar, K. Fendius, J. Fingerhut, H. Fladt, O. Götze, P. Hirschmiller, H. Höge, B. Högner, M.-L. Kinne, M. Kuhn, P. Leins, M. Lauer, D. Lordick, T. Niemeyer, K. Schillinger, F. Schütz, E. Spiekermann, P. Zizka
Author: Alfred S. Posamentier
Publisher: Prometheus Books
Published: 2011-12-20
Total Pages: 301
ISBN-13: 1616144246
DOWNLOAD EBOOK →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.
Author: Peter Ward
Publisher: Taylor & Francis
Published: 2003
Total Pages: 282
ISBN-13: 0240516818
DOWNLOAD EBOOK →First Published in 2003. Routledge is an imprint of Taylor & Francis, an informa company.
Author: Norman John Wildberger
Publisher:
Published: 2005
Total Pages: 330
ISBN-13:
DOWNLOAD EBOOK →"... 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.
Author: Om Prakash Kharbanda
Publisher: Elsevier Health Sciences
Published: 2019-11-14
Total Pages: 1022
ISBN-13: 8131249360
DOWNLOAD EBOOK →The second edition is expanded and rejuvenated with a greater focus on PG students, orthodontic educators, UG students and practitioners. The book covers entire panorama of science and clinical practice of orthodontics, from basics to clinical, presented in 58 chapters organised in 15 sections. The information is provided in-depth, literature supported, complimented with real life scenarios and case reports. A special effort has been made to include structured information on subjects of relevance which are much talked about but found only in journals. Contains a balanced blend of texts, graphics, boxes and clinical case reports encountered in clinical practice A comprehensive coverage of cephalometric radiology, ethnic norms and advances in three-dimensional imaging A detailed step by step approach to orthodontic treatment with contemporary fixed appliances, from diagnosis to finishing Provides an up-to-date information on topics of day-to-day relevance such as epidemiology of malocclusion and orthodontic indices, psychological aspects of orthodontics, debonding, care and maintenance of occlusion after orthodontic treatment Presents updated information on temporary anchorage devices (TAD), impacted and transposed teeth, inter-disciplinary treatment, management of cleft lip and palate and orthognathic surgery Emerging fields such as surgically facilitated rapid tooth movement, distraction osteogenesis and obstructive sleep apnoea (OSA) are included with up-to-date clinically relevant information Includes Companion Website containing procedural videos
