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A comprehensive study of the historic development of division in extreme and mean ratio ("the golden number"), this text traces the concept’s development from its first appearance in Euclid’s Elements through the 18th century. The coherent but rigorous presentation offers clear explanations of DEMR’s historical transmission, poses controversial views on the concept’s relationship to other mathematical topics, and features numerous illustrations.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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defining pentagon, broken chord theorem, quinque corporibus, given rectilineal figure, icosahedron inscribed, ivth century, decagon inscribed, geometrical algebra, irrational line, diagonal numbers, pentagon inscribed, golden number, inscribed pentagon, area formulation, proportion theory, fixed compass, twelve pentagons, circumscribing circle Key Phrases - Capitalized Phrases (CAPs): (learn more)
Abu Kamil, Pythagorean Theorem, Catalogue of Geometers, Euclid's Book, Sketch of Proof, Euclid's Elements, Heraclea Pontica, Zeus Ammon, Ibn Yunus, British Museum, Jemdet Nasr, Comparison of the Five Figures, Pappus-Ver Eecke, Plato's Theaetetus, Bibliothèque Nationale, Geometrica Deutsch, Determination of Chords, Hippocrates of Chios, Leodamas of Thasos, Tell Dan, Thabit ibn Qurra, Euclidean Algorithm, Tuleilat Ghassul, Tell Esdar, Ptolemy's Theorem Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Surprise Me!
defining pentagon, broken chord theorem, quinque corporibus, given rectilineal figure, icosahedron inscribed, ivth century, decagon inscribed, geometrical algebra, irrational line, diagonal numbers, pentagon inscribed, golden number, inscribed pentagon, area formulation, proportion theory, fixed compass, twelve pentagons, circumscribing circle Key Phrases - Capitalized Phrases (CAPs): (learn more)
Abu Kamil, Pythagorean Theorem, Catalogue of Geometers, Euclid's Book, Sketch of Proof, Euclid's Elements, Heraclea Pontica, Zeus Ammon, Ibn Yunus, British Museum, Jemdet Nasr, Comparison of the Five Figures, Pappus-Ver Eecke, Plato's Theaetetus, Bibliothèque Nationale, Geometrica Deutsch, Determination of Chords, Hippocrates of Chios, Leodamas of Thasos, Tell Dan, Thabit ibn Qurra, Euclidean Algorithm, Tuleilat Ghassul, Tell Esdar, Ptolemy's Theorem Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Surprise Me!
Citations (learn more)
7
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cite this book:
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- The Golden Ratio: The Story of PHI, the World's Most Astonishing Number by Mario Livio on page 6, and Back Matter
- The Golden Ratio: The Story of Phi, the World's Most Astonishing Number by Mario Livio on page 6, and Back Matter
- Fib and Phi in Music: The Golden Proportion Musical Form (Inmusic) by Charles Madden in Back Matter
- The Essential Stratum Corneum by Ronald Marks on page 40
- New Geometries for New Materials by Eric A. Lord in Back Matter
See all 7 books citing this book
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40% buy the item featured on this page: A Mathematical History of the Golden Number$13.22 |
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13% buy The Geometry of Art and Life $9.95 |
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