The Divine Proportions of Luca Pacioli

The Divine Proportions of Luca Pacioli PDF Author: W.A.W. Parker
Publisher: Barbera Foundation
ISBN:
Category : Fiction
Languages : en
Pages : 214

Get Book

Book Description
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 Divine Proportion

The Divine Proportion PDF Author: H. E. Huntley
Publisher: Courier Corporation
ISBN: 0486131874
Category : Mathematics
Languages : en
Pages : 208

Get Book

Book Description
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 PDF Author: Gary B. Meisner
Publisher: Quarto Publishing Group USA
ISBN: 076036026X
Category : Mathematics
Languages : en
Pages : 227

Get Book

Book Description
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.

The Divine Proportions of Luca Pacioli

The Divine Proportions of Luca Pacioli PDF Author: W.A.W. Parker
Publisher: Barbera Foundation
ISBN:
Category : Fiction
Languages : en
Pages : 214

Get Book

Book Description
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.

Divine Proportion

Divine Proportion PDF Author: Priya Hemenway
Publisher: Sterling Publishing Company Incorporated
ISBN: 9781402735226
Category : Science
Languages : en
Pages : 203

Get Book

Book Description
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.

Mystifying Square, Divine Proportions - Nature's Black Box

Mystifying Square, Divine Proportions - Nature's Black Box PDF Author: Pauline Novak-Reich
Publisher: Pauline Reich
ISBN: 9781742984810
Category : Mathematics
Languages : en
Pages : 276

Get Book

Book Description
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."

Divine, Golden, Ingenious

Divine, Golden, Ingenious PDF Author: Lieselotte Kugler
Publisher: Hirmer Verlag GmbH
ISBN:
Category : Art
Languages : en
Pages : 232

Get Book

Book Description
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

Picture Composition for Film and Television

Picture Composition for Film and Television PDF Author: Peter Ward
Publisher: Taylor & Francis
ISBN: 0240516818
Category : Education
Languages : en
Pages : 282

Get Book

Book Description
First Published in 2003. Routledge is an imprint of Taylor & Francis, an informa company.

Divine Proportions

Divine Proportions PDF Author: Norman John Wildberger
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 330

Get Book

Book Description
"... 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.

Orthodontics: Diagnosis and Management of Malocclusion and Dentofacial Deformities, E-Book

Orthodontics: Diagnosis and Management of Malocclusion and Dentofacial Deformities, E-Book PDF Author: Om Prakash Kharbanda
Publisher: Elsevier Health Sciences
ISBN: 8131249360
Category : Medical
Languages : en
Pages : 1022

Get Book

Book Description
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

Beauty and Body Dysmorphic Disorder

Beauty and Body Dysmorphic Disorder PDF Author: Neelam A. Vashi
Publisher: Springer
ISBN: 3319178679
Category : Medical
Languages : en
Pages : 210

Get Book

Book Description
Over the decades, research has demonstrated that in categories of life deemed to be important, beautiful people achieve more desirable outcomes, are judged more favorably, and receive preferential treatment. An understanding of the historical aspects, science, and implications of what the human mind finds aesthetically pleasing is quintessential for dermatologists, plastic surgeons, and others who practice aesthetic medicine as the importance of beauty in today’s society is what brings patients into clinics. While an element of dissatisfaction with one’s appearance is commonplace, clinicians should remain vigilant for individuals who seek cosmetic procedures to quell excessive body image concerns that are out of proportion to objective physical findings. Body dysmorphic disorder (BDD) is a disorder of self-perception; it is the impairing preoccupation with a nonexistent or minimal flaw in appearance. According to recent statistics, BDD occurs in 0.7–2.4% of the general population; however, multiple studies have suggested an incidence of 6–16% in patients seeking aesthetic medical treatments. Moreover, a vast majority will at some point seek dermatologic treatment and cosmetic surgery. Such patients are unlikely to be satisfied with corrective procedures, and only 15% of dermatologists surveyed thought that they could successfully treat BDD. Therefore, Beauty and Body Dysmor phic Disorder aims to assist dermatologists, plastic surgeons, and other aesthetic providers in recognizing key characteristics as well as providing treatment strategies to help in caring for those with BDD.