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The Divine Proportions Of Luca Pacioli
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Book Synopsis The Divine Proportions of Luca Pacioli by : W.A.W. Parker
Download or read book The Divine Proportions of Luca Pacioli written by W.A.W. Parker and published by Barbera Foundation. This book was released on with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis De Divina Proportione / on the Divine Proportion by : Luca Pacioli
Download or read book De Divina Proportione / on the Divine Proportion written by Luca Pacioli and published by CreateSpace. This book was released on 2014-08-15 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a facsimile (in black and white) of De Divina Proportione ("On the Divine Proportion"), printed June 1st 1509 in Venice, of which only two copies reached our XXIth century. It had to become one among the most famous books in the world, but not only because it was partly made by Leonardo da Vinci and printed during his lifetime. He drew fifty nine of the sketches it includes, which form the earliest work from the artist's hand to appear in print. Luca Bartolomeo de Pacioli (1445-1517), Italian mathematician and Franciscan friar, wrote the full text of it. He and Leonardo da Vinci set forth a way of describing the visible world in terms of its common geometrical elements, what he calls the "divine proportion", equally known as the "Golden ratio". Even the layout of this book, which we may find somehow surprising today, Pacioli and da Vinci drafted it on a geometrical grid with respect to the divine proportion. De Divina proportione also is one of the most remarkable illustrated books published in the sixteenth century. Based on the writings of Plato, Euclid, and Vitruvius, and arguing his thesis by means of exegesis and the generous use of evocative illustration, Pacioli claims that this proportional element is shared by a variety of solid bodies, from human anatomy to architectural forms and even to the composition of the letter's design in the Roman alphabet. Today we don't know how many copies of De Divina Proportione were printed in Venice by printer Paganinus de Paganinus. Two surviving copies only exist, one at the Biblioteca Ambrosiana in Milan, and the second at the Bibliothèque de Genève in Geneva, Switzerland. For the intersection of art and science and the active engagement of the pre-eminent genius of the period, Leonardo da Vinci, this is one of the most iconic works of the Italian Renaissance. The clarity of both the written material and Leonardo's diagrams gave the book a popularity beyond mathematical circles. It has since then been reprinted several times and translated in many languages.
Book Synopsis The Divine Proportions of Luca Pacioli by : William Adam W. Parker
Download or read book The Divine Proportions of Luca Pacioli written by William Adam W. Parker and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Ancient Double-entry Bookkeeping by : John Bart Geijsbeek
Download or read book Ancient Double-entry Bookkeeping written by John Bart Geijsbeek and published by . This book was released on 1914 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Thinking 3D written by Daryl Green and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Divine Proportion by : H. E. Huntley
Download or read book The Divine Proportion written by H. E. Huntley and published by Courier Corporation. This book was released on 2012-06-08 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Leonardo Da Vinci and the Pacioli Code by : Jerzy K. Kulski
Download or read book Leonardo Da Vinci and the Pacioli Code written by Jerzy K. Kulski and published by Leonardo Da Vinci - Artist, Sc. This book was released on 2019-11-17 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Double Entry: How the Merchants of Venice Created Modern Finance by : Jane Gleeson-White
Download or read book Double Entry: How the Merchants of Venice Created Modern Finance written by Jane Gleeson-White and published by W. W. Norton & Company. This book was released on 2012-10-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: “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.
Book Synopsis The Glorious Golden Ratio by : Alfred S. Posamentier
Download or read book The Glorious Golden Ratio written by Alfred S. Posamentier and published by Prometheus Books. This book was released on 2011-12-20 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Gondola Maker by : Laura Morelli
Download or read book The Gondola Maker written by Laura Morelli and published by Laura Morelli. This book was released on 2014-03-03 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Award-winning historical fiction set in 16th-century Venice -Benjamin Franklin Digital Award -IPPY Award for Best Adult Fiction E-book -National Indie Excellence Award Finalist -Eric Hoffer Award Finalist -Shortlisted for the da Vinci Eye Prize From the author of Made in Italy comes a tale of artisanal tradition and family bonds set in one of the world's most magnificent settings: Renaissance Venice. Venetian gondola-maker Luca Vianello considers his whole life arranged. His father charted a course for his eldest son from the day he was born, and Luca is positioned to inherit one of the city’s most esteemed boatyards. Soon he will marry the daughter of an artisan prow-maker, securing a key business alliance for the family. But when Luca experiences an unexpected tragedy in the boatyard, he believes that his destiny lies elsewhere. Soon he finds himself drawn to restore an antique gondola with the dream of taking a girl for a ride. The Gondola Maker brings the centuries-old art of gondola-making to life in the tale of a young man's complicated relationship with his master-craftsman father. Lovers of historical fiction will appreciate the authentic details of gondola craftsmanship, along with an intimate first-person narrative set against the richly textured backdrop of 16th-century Venice. "I'm a big fan of Venice, so I appreciate Laura Morelli's special knowledge of the city, the period, and the process of gondola-making. An especially compelling story." --Frances Mayes, author of Under the Tuscan Sun "Laura Morelli has done her research, or perhaps she was an Italian carpenter in another life. One can literally smell and feel the grain of finely turned wood in her hands." --Pamela Sheldon Johns, author of Italian Food Artisans "Romance, intrigue, family loyalty, pride, and redemption set against the backdrop of Renaissance Italy." --Library of Clean Reads "Beautiful, powerful evocation of the characters, the place, and the time. An elegant and thoroughly engaging narrative voice." --Mark Spencer, author of Fiction Club: A Concise Guide to Writing Good Fiction
Book Synopsis The Golden Ratio by : Gary B. Meisner
Download or read book The Golden Ratio written by Gary B. Meisner and published by Quarto Publishing Group USA. This book was released on 2018-10-23 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Reckoning written by Jacob Soll and published by Basic Books. This book was released on 2014-04-29 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: A “brilliant” (Los Angeles Review of Books) history of accounting, showing how financial and political accountability has shaped the rise and fall of nations and empires Whether building a road or fighting a war, leaders from ancient Mesopotamia to the present have relied on financial accounting to track their state's assets and guide its policies. Basic accounting tools such as auditing and double-entry bookkeeping form the basis of modern capitalism and the nation-state. Yet our appreciation for accounting and its formative role throughout history remains minimal at best-and we remain ignorant at our peril. Poor or risky practices can shake, and even bring down, entire societies. In The Reckoning, historian and MacArthur "Genius" Award-winner Jacob Soll presents a sweeping history of accounting, drawing on a wealth of examples from over a millennia of human history to reveal how accounting has shaped kingdoms, empires, and entire civilizations. The Medici family of 15th century Florence used the double-entry method to win the loyalty of their clients, but eventually began to misrepresent their accounts, ultimately contributing to the economic decline of the Florentine state itself. In the 17th and 18th centuries, European rulers shunned honest accounting, understanding that accurate bookkeeping would constrain their spending and throw their legitimacy into question. And in fact, when King Louis XVI's director of finances published the crown's accounts in 1781, his revelations provoked a public outcry that helped to fuel the French Revolution. When transparent accounting finally took hold in the 19th Century, the practice helped England establish a global empire. But both inept and willfully misused accounting persist, as the catastrophic Stock Market Crash of 1929 and the Great Recession of 2008 have made all too clear. A masterwork of economic and political history, and a radically new perspective on the recent past, The Reckoning compels us to see how accounting is an essential instrument of great institutions and nations-and one that, in our increasingly transparent and interconnected world, has never been more vital.
Book Synopsis The Mathematics of Harmony by : Alexey Stakhov
Download or read book The Mathematics of Harmony written by Alexey Stakhov and published by World Scientific. This book was released on 2009 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assisted by Scott Olsen ( Central Florida Community College, USA ). This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the OC Mathematics of Harmony, OCO a new interdisciplinary direction of modern science. This direction has its origins in OC The ElementsOCO of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the OC goldenOCO algebraic equations, the generalized Binet formulas, Fibonacci and OC goldenOCO matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and OC goldenOCO matrices). The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science. Sample Chapter(s). Introduction (503k). Chapter 1: The Golden Section (2,459k). Contents: Classical Golden Mean, Fibonacci Numbers, and Platonic Solids: The Golden Section; Fibonacci and Lucas Numbers; Regular Polyhedrons; Mathematics of Harmony: Generalizations of Fibonacci Numbers and the Golden Mean; Hyperbolic Fibonacci and Lucas Functions; Fibonacci and Golden Matrices; Application in Computer Science: Algorithmic Measurement Theory; Fibonacci Computers; Codes of the Golden Proportion; Ternary Mirror-Symmetrical Arithmetic; A New Coding Theory Based on a Matrix Approach. Readership: Researchers, teachers and students in mathematics (especially those interested in the Golden Section and Fibonacci numbers), theoretical physics and computer science."
Book Synopsis ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics by : Luigi Cocchiarella
Download or read book ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics written by Luigi Cocchiarella and published by Springer. This book was released on 2018-07-06 with total page 2334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers peer-reviewed papers presented at the 18th International Conference on Geometry and Graphics (ICGG), held in Milan, Italy, on August 3-7, 2018. The spectrum of papers ranges from theoretical research to applications, including education, in several fields of science, technology and the arts. The ICGG 2018 mainly focused on the following topics and subtopics: Theoretical Graphics and Geometry (Geometry of Curves and Surfaces, Kinematic and Descriptive Geometry, Computer Aided Geometric Design), Applied Geometry and Graphics (Modeling of Objects, Phenomena and Processes, Applications of Geometry in Engineering, Art and Architecture, Computer Animation and Games, Graphic Simulation in Urban and Territorial Studies), Engineering Computer Graphics (Computer Aided Design and Drafting, Computational Geometry, Geometric and Solid Modeling, Image Synthesis, Pattern Recognition, Digital Image Processing) and Graphics Education (Education Technology Research, Multimedia Educational Software Development, E-learning, Virtual Reality, Educational Systems, Educational Software Development Tools, MOOCs). Given its breadth of coverage, the book introduces engineers, architects and designers interested in computer applications, graphics and geometry to the latest advances in the field, with a particular focus on science, the arts and mathematics education.
Book Synopsis Demoniality; Or, Incubi and Succubi by : Ludovico Maria Sinistrari
Download or read book Demoniality; Or, Incubi and Succubi written by Ludovico Maria Sinistrari and published by . This book was released on 1879 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematics and Art by : Lynn Gamwell
Download or read book Mathematics and Art written by Lynn Gamwell and published by Princeton University Press. This book was released on 2016 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell's comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians' search for the foundations of their science, such as David Hilbert's conception of mathematics as an arrangement of meaning-free signs, as well as artists' search for the essence of their craft, such as Aleksandr Rodchenko's monochrome paintings. She shows that self-reflection is inherent to the practice of both modern mathematics and art, and that this introspection points to a deep resonance between the two fields: Kurt Gödel posed questions about the nature of mathematics in the language of mathematics and Jasper Johns asked "What is art?" in the vocabulary of art. Throughout, Gamwell describes the personalities and cultural environments of a multitude of mathematicians and artists, from Gottlob Frege and Benoît Mandelbrot to Max Bill and Xu Bing. Mathematics and Art demonstrates how mathematical ideas are embodied in the visual arts and will enlighten all who are interested in the complex intellectual pursuits, personalities, and cultural settings that connect these vast disciplines.
Book Synopsis Math and the Mona Lisa by : Bulent Atalay
Download or read book Math and the Mona Lisa written by Bulent Atalay and published by Smithsonian Institution. This book was released on 2011-09-20 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leonardo da Vinci was one of history's true geniuses, equally brilliant as an artist, scientist, and mathematician. Readers of The Da Vinci Code were given a glimpse of the mysterious connections between math, science, and Leonardo's art. Math and the Mona Lisa picks up where The Da Vinci Code left off, illuminating Leonardo's life and work to uncover connections that, until now, have been known only to scholars. Bülent Atalay, a distinguished scientist and artist, examines the science and mathematics that underlie Leonardo's work, paying special attention to the proportions, patterns, shapes, and symmetries that scientists and mathematicians have also identified in nature. Following Leonardo's own unique model, Atalay searches for the internal dynamics of art and science, revealing to us the deep unity of the two cultures. He provides a broad overview of the development of science from the dawn of civilization to today's quantum mechanics. From this base of information, Atalay offers a fascinating view into Leonardo's restless intellect and modus operandi, allowing us to see the source of his ideas and to appreciate his art from a new perspective.
