Author: Peter Ward
Publisher: Taylor & Francis
ISBN: 0240516818
Category : Education
Languages : en
Pages : 282
Book Description
First Published in 2003. Routledge is an imprint of Taylor & Francis, an informa company.
The Divine Proportions of Luca Pacioli
Author: W.A.W. Parker
Publisher: Barbera Foundation
ISBN:
Category : Fiction
Languages : en
Pages : 214
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.
Publisher: Barbera Foundation
ISBN:
Category : Fiction
Languages : en
Pages : 214
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
Author: H. E. Huntley
Publisher: Courier Corporation
ISBN: 0486131874
Category : Mathematics
Languages : en
Pages : 212
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.
Publisher: Courier Corporation
ISBN: 0486131874
Category : Mathematics
Languages : en
Pages : 212
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
Author: Gary B. Meisner
Publisher: Quarto Publishing Group USA
ISBN: 076036026X
Category : Mathematics
Languages : en
Pages : 227
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.
Publisher: Quarto Publishing Group USA
ISBN: 076036026X
Category : Mathematics
Languages : en
Pages : 227
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.
Divine Proportion
Author: Priya Hemenway
Publisher: Sterling Publishing Company Incorporated
ISBN: 9781402735226
Category : Science
Languages : en
Pages : 203
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.
Publisher: Sterling Publishing Company Incorporated
ISBN: 9781402735226
Category : Science
Languages : en
Pages : 203
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
Author: Pauline Novak-Reich
Publisher: Pauline Reich
ISBN: 9781742984810
Category : Mathematics
Languages : en
Pages : 276
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."
Publisher: Pauline Reich
ISBN: 9781742984810
Category : Mathematics
Languages : en
Pages : 276
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."
Picture Composition for Film and Television
Author: Peter Ward
Publisher: Taylor & Francis
ISBN: 0240516818
Category : Education
Languages : en
Pages : 282
Book Description
First Published in 2003. Routledge is an imprint of Taylor & Francis, an informa company.
Publisher: Taylor & Francis
ISBN: 0240516818
Category : Education
Languages : en
Pages : 282
Book Description
First Published in 2003. Routledge is an imprint of Taylor & Francis, an informa company.
The Golden Number
Author: Matila C. Ghyka
Publisher: Inner Traditions
ISBN: 9781594771002
Category : Body, Mind & Spirit
Languages : en
Pages : 448
Book Description
The first English translation of Ghyka’s masterwork on sacred geometry • Reveals how the Golden Number Phi underlies the spiritual nature of beauty and the hidden harmonies that connect the whole of creation • Explains how the spiritual mysteries of the Golden Number were passed down in an unbroken line of transmission from the Pythagorean brotherhoods through the medieval builders’ guilds to the secret societies of 18th-century Europe The Golden Number, or Phi (Φ), is a geometric ratio found throughout nature, often underlying the dimensions of objects considered especially beautiful. Simplified as 1.618 and symbolized by the Fibonacci sequence, the Golden Number represents the unique relationship within an object where the ratio of a larger part to a smaller part is the same as the ratio of the whole to the larger part. It appears in the proportions of the human face and body as well as in the proportions of animals, plants, and celestial bodies. Called the divine proportion by the monk Fra Luca Pacioli, whose book on the subject was illustrated by Leonardo da Vinci, Phi’s use in art and architecture goes back at least to the mystical mathematics of Pythagoras and his followers in the sixth century BCE. The perfect synthesis of spiritual and material, it can be found in the measurements of the sacred temples of Egypt, Ancient Greece, and Medieval and Renaissance Europe. The asymptotic series of integers that define Phi represent the macrocosm and microcosm as portrayed in Plato’s concept of the world soul. Presenting Matila Ghyka’s classic treatise on the Golden Number for the first time in English, this book reveals the many ways this ratio can be found not only in the organic forms of nature--such as in the spirals of shells or the number of petals on a flower--but also in the most beautiful and highest creations of humanity. One of the most important concepts of sacred geometry, its mysteries were passed down in an unbroken line of transmission from the Pythagorean brotherhoods through the medieval builders’ guilds to the secret societies of 18th-century Europe. Ghyka shows how the secrets of this divine proportion were not sought merely for their value in architecture, painting, and music, but also as a portal to a deeper understanding of the spiritual nature of beauty and the hidden harmonies that connect the whole of creation.
Publisher: Inner Traditions
ISBN: 9781594771002
Category : Body, Mind & Spirit
Languages : en
Pages : 448
Book Description
The first English translation of Ghyka’s masterwork on sacred geometry • Reveals how the Golden Number Phi underlies the spiritual nature of beauty and the hidden harmonies that connect the whole of creation • Explains how the spiritual mysteries of the Golden Number were passed down in an unbroken line of transmission from the Pythagorean brotherhoods through the medieval builders’ guilds to the secret societies of 18th-century Europe The Golden Number, or Phi (Φ), is a geometric ratio found throughout nature, often underlying the dimensions of objects considered especially beautiful. Simplified as 1.618 and symbolized by the Fibonacci sequence, the Golden Number represents the unique relationship within an object where the ratio of a larger part to a smaller part is the same as the ratio of the whole to the larger part. It appears in the proportions of the human face and body as well as in the proportions of animals, plants, and celestial bodies. Called the divine proportion by the monk Fra Luca Pacioli, whose book on the subject was illustrated by Leonardo da Vinci, Phi’s use in art and architecture goes back at least to the mystical mathematics of Pythagoras and his followers in the sixth century BCE. The perfect synthesis of spiritual and material, it can be found in the measurements of the sacred temples of Egypt, Ancient Greece, and Medieval and Renaissance Europe. The asymptotic series of integers that define Phi represent the macrocosm and microcosm as portrayed in Plato’s concept of the world soul. Presenting Matila Ghyka’s classic treatise on the Golden Number for the first time in English, this book reveals the many ways this ratio can be found not only in the organic forms of nature--such as in the spirals of shells or the number of petals on a flower--but also in the most beautiful and highest creations of humanity. One of the most important concepts of sacred geometry, its mysteries were passed down in an unbroken line of transmission from the Pythagorean brotherhoods through the medieval builders’ guilds to the secret societies of 18th-century Europe. Ghyka shows how the secrets of this divine proportion were not sought merely for their value in architecture, painting, and music, but also as a portal to a deeper understanding of the spiritual nature of beauty and the hidden harmonies that connect the whole of creation.
Visual Harmony
Author: SendPoints
Publisher: Gingko Press Editions
ISBN: 9781584236191
Category : Commercial art
Languages : en
Pages : 0
Book Description
Effective visual communication is not an accidental occurrence, but rather is the result of serious intention on the part of the designer to balance all aspects of the design. This is often achieved through careful application of proportion based on guiding principles that are here detailed; the golden ratio, 'divine proportion' and the Fibonacci sequence. By way of 1200 full-colour illustrations, the way in which modern design is utilising these ancient principles is explored.
Publisher: Gingko Press Editions
ISBN: 9781584236191
Category : Commercial art
Languages : en
Pages : 0
Book Description
Effective visual communication is not an accidental occurrence, but rather is the result of serious intention on the part of the designer to balance all aspects of the design. This is often achieved through careful application of proportion based on guiding principles that are here detailed; the golden ratio, 'divine proportion' and the Fibonacci sequence. By way of 1200 full-colour illustrations, the way in which modern design is utilising these ancient principles is explored.
The Forehead and Temporal Fossa
Author: David M. Knize
Publisher: Lippincott Williams & Wilkins
ISBN: 0781720745
Category : Medical
Languages : en
Pages : 227
Book Description
This volume is a superbly illustrated guide to the anatomy of the forehead and temporal fossa and to the three major foreheadplasty techniques practiced today. The first section is a detailed anatomic atlas that the surgeon can use to plan an operative procedure. The second section is a "how-to-do-it" description and demonstration of foreheadplasty techniques--limited incision, endoscopic, and open--correlating the surgical anatomy with the gross and endoscopic anatomy presented in the first part of the book. 294 full-color drawings and photographs present a true-to-life view of the anatomic structures as they are seen during a surgical procedure.
Publisher: Lippincott Williams & Wilkins
ISBN: 0781720745
Category : Medical
Languages : en
Pages : 227
Book Description
This volume is a superbly illustrated guide to the anatomy of the forehead and temporal fossa and to the three major foreheadplasty techniques practiced today. The first section is a detailed anatomic atlas that the surgeon can use to plan an operative procedure. The second section is a "how-to-do-it" description and demonstration of foreheadplasty techniques--limited incision, endoscopic, and open--correlating the surgical anatomy with the gross and endoscopic anatomy presented in the first part of the book. 294 full-color drawings and photographs present a true-to-life view of the anatomic structures as they are seen during a surgical procedure.
Our Light Body
Author: Mary Rabyor
Publisher: Mary Rabyor
ISBN: 0985466308
Category : Body, Mind & Spirit
Languages : en
Pages : 496
Book Description
Human beings are now evolving into a new species, popularized as the light body that starts to grow when our vibration is high enough to activate DNA that exists in our genes. The growing force increases the vibration of all objects over time. When the old body design no longer thrives in the increased vibratory field a species wide metamorphosis triggers. That is where we are today. In early 2006, Mary unexpectedly experienced a kundalini awakening after years of doing meditation. After this, she devoted three years full-time to the kundalini transformation and took daily notes. The core of Our Light Body is Mary's journal for the first year of kundalini transformation with notes, poetry, insights, visions and dreams. The book has chapters with the author's insights about the personality, the higher-self, steps of spiritual awakening, dark nights of the soul, DNA activation, kundalini, human metamorphosis and evolution.
Publisher: Mary Rabyor
ISBN: 0985466308
Category : Body, Mind & Spirit
Languages : en
Pages : 496
Book Description
Human beings are now evolving into a new species, popularized as the light body that starts to grow when our vibration is high enough to activate DNA that exists in our genes. The growing force increases the vibration of all objects over time. When the old body design no longer thrives in the increased vibratory field a species wide metamorphosis triggers. That is where we are today. In early 2006, Mary unexpectedly experienced a kundalini awakening after years of doing meditation. After this, she devoted three years full-time to the kundalini transformation and took daily notes. The core of Our Light Body is Mary's journal for the first year of kundalini transformation with notes, poetry, insights, visions and dreams. The book has chapters with the author's insights about the personality, the higher-self, steps of spiritual awakening, dark nights of the soul, DNA activation, kundalini, human metamorphosis and evolution.