The Divine Proportions of Luca Pacioli

The Divine Proportions of Luca Pacioli
Author: W.A.W. Parker
Publisher: Barbera Foundation
Total Pages: 214
Release:
Genre: Fiction
ISBN:

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 Proportions of Luca Pacioli

The Divine Proportions of Luca Pacioli
Author: W. A. W. Parker
Publisher: Barbera Foundation Incorporated
Total Pages: 256
Release: 2019
Genre: Fiction
ISBN: 9781947431270

Luca Pacioli stood beside the great Leonardo da Vinci and gazed at The Last Supper. He saw immediately that something was terribly wrong. If not for mentors who recognized his genius with numbers, the orphan from a small town in Italy, may have been destined for a life of struggle and obscurity. Instead, he was among the greats of the Renaissance.

Leonardo Da Vinci and the Pacioli Code

Leonardo Da Vinci and the Pacioli Code
Author: Jerzy K. Kulski
Publisher: Leonardo Da Vinci - Artist, Sc
Total Pages: 442
Release: 2019-11-17
Genre: History
ISBN: 9780648065333

Leonardo da Vinci and the Pacioli Code by Jerzy K. Kulski was published in 2019 to mark the 500th anniversary of Leonardo's death at 67-years of age on May 2 in Amboise in France. This illustrated ( 160 images) and referenced book honours and celebrates Leonardo's life and accomplishments in art, science and his philosophy on dialectics, linear perspective, geometric variations, divine proportion, vision, perception and anamorphosis. It highlights and commemorates his friendship with the Franciscan friar and mathematician, Fra Luca Pacioli. The author focuses particularly on the subjects, objects, pictorial codes and hidden messages contained within the mysterious portrait entitled Fra Luca Pacioli and Student that is held at the National Museum of Capodimonte in Naples and officially attributed to the Venetian painter Jacopo de' Barbari. However, this official attribution is questionable because the painting shows all the typical signatures, mysteries, anagrams, geometric proportions, symbols and praxis of Leonardo da Vinci. It is a fantastical Renaissance masterpiece drawn and painted with science, wit, guile and artistry by an innovator communicating with puzzling rebuses and psychological imagery. Kulski describes and analyses the science, mathematics, geometry, symbolism, history and pictorial codification of the portraiture of the Franciscan friar Luca Pacioli, the condottiero and jouster Galeazzo Sanseverino, Leonardo's signature rhombicuboctahedron hanging in space from a red thread, an enigmatic black fly, together with a secretive anagram, IACO. B AR. VIGEN NIS. P.1495, that encodes the political intrigues in the Duchy of Milan during the time of Leonardo da Vinci. The exposition explores Leonardo's 5-year working relationship with Fra Luca Pacioli on Euclidian geometry, regular solids and the divine proportion, together with the support and intrigues of their powerful and rich sponsors, Galeazzo Sanseverino and his father-in-law Ludovico Sforza, the Duke of Milan, who inspired the portraiture. This book is dedicated to the Italian Renaissance art researcher Carla Glori who deciphered the mysterious code associated with the menacing black fly on the yellowed, encrypted cartouche and proved beyond reasonable doubt that the painting originated from the studio of Leonardo da Vinci when he still was entangled in various disputes with his other major art works, The Virgin of the Rocks, The Last Supper, Mona Lisa and the giant equestrian statue known as Colossus.The 21 chapters also contain 160 images and a bibliography of 250 cited books, journal references and Internet web pages.

The Divine Proportion

The Divine Proportion
Author: H. E. Huntley
Publisher: Courier Corporation
Total Pages: 212
Release: 2012-06-08
Genre: Mathematics
ISBN: 0486131874

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.

Thinking 3D

Thinking 3D
Author: Daryl Green
Publisher:
Total Pages: 0
Release: 2019
Genre: ART
ISBN: 9781851245253

During the Renaissance, artists and illustrators developed the representation of truthful three-dimensional forms into a highly skilled art. As reliable illustrations of three-dimensional subjects became more prevalent, they also influenced the ways in which disciplines developed: architecture could be communicated much more clearly, mathematical concepts and astronomical observations could be quickly relayed, and observations of the natural world moved towards a more realistic method of depiction. Through essays on some of the world's greatest artists and thinkers--such as Leonardo da Vinci, Luca Pacioli, Andreas Vesalius, Johann Kepler, Galileo Galilei, William Hunter, and many more--this book tells the story of how of we learned to communicate three-dimensional forms on the two-dimensional page. It features some of Leonardo da Vinci's ground-breaking drawings now in the Royal Collections and British Library as well as extraordinary anatomical illustrations, early paper engineering such as volvelles and flaps, beautiful architectural plans, and even views of the moon. With in-depth analysis of more than forty manuscripts and books, Thinking 3D also reveals the impact that developing techniques had on artists and draftsmen throughout time and across space, culminating in the latest innovations in computer software and 3D printing.

The Glorious Golden Ratio

The Glorious Golden Ratio
Author: Alfred S. Posamentier
Publisher: Prometheus Books
Total Pages: 301
Release: 2011-12-20
Genre: Mathematics
ISBN: 1616144246

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.

Double Entry: How the Merchants of Venice Created Modern Finance

Double Entry: How the Merchants of Venice Created Modern Finance
Author: Jane Gleeson-White
Publisher: W. W. Norton & Company
Total Pages: 226
Release: 2012-10-01
Genre: Business & Economics
ISBN: 0393089681

“Lively history. . . . Show[s] double entry’s role in the creation of the accounting profession, and even of capitalism itself.”—The New Yorker Filled with colorful characters and history, Double Entry takes us from the ancient origins of accounting in Mesopotamia to the frontiers of modern finance. At the heart of the story is double-entry bookkeeping: the first system that allowed merchants to actually measure the worth of their businesses. Luca Pacioli—monk, mathematician, alchemist, and friend of Leonardo da Vinci—incorporated Arabic mathematics to formulate a system that could work across all trades and nations. As Jane Gleeson-White reveals, double-entry accounting was nothing short of revolutionary: it fueled the Renaissance, enabled capitalism to flourish, and created the global economy. John Maynard Keynes would use it to calculate GDP, the measure of a nation’s wealth. Yet double-entry accounting has had its failures. With the costs of sudden corporate collapses such as Enron and Lehman Brothers, and its disregard of environmental and human costs, the time may have come to re-create it for the future.

The Golden Ratio

The Golden Ratio
Author: Gary B. Meisner
Publisher: Quarto Publishing Group USA
Total Pages: 227
Release: 2018-10-23
Genre: Mathematics
ISBN: 076036026X

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.