Celestial Geometry

Celestial Geometry

Author: Ken Taylor

Publisher: Paul Watkins

Published: 2012

Total Pages: 0

ISBN-13: 9781780283869

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This book travels the world to explore over 60 archaeological sites that enshrine the remarkable achievements of ancient astronomers. In many cultures an early understanding of the cosmos is expressed through architecture - stone circles that act as giant computers for the timing of solstices; apertures that offer sightlines to key events, such as a lunar standstill or planetary rising, as well as a host of allusions to sky gods and goddesses in carvings and wall paintings. The author's focus ranges broadly - from the great standing stones of Europe (Stonehenge, Ring of Brodgar, Carnac) to the pyramids of Egypt and the pyramidtemples of Central America, from the medicine wheels of North America to the carved monoliths of Easter Island. In part, however, the book's value lies in its revelation of astronomical alignments in lesser-known structures, such as the vast sun clock of Goseck in Germany, the mysterious standing stones of the Basque Country and the ancient rock art of Australia. The book is organised by key celestial events, such as solstices and equinoxes, and features original artwork showing key alignments and the movements of the planets and stars. This is a beautiful and fascinating insight into the mysteries of the ancient world - and a convincing vision of mankind's efforts to integrate our sense of spiritual belonging with the mysteries of space and time.


Measuring the Earth

Measuring the Earth

Author: Mary Gow

Publisher: Enslow Publishing, LLC

Published: 2009-07-01

Total Pages: 136

ISBN-13: 9780766031203

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"A biography of ancient Greek mathematician Eratosthenes, who used geometry to calculate the circumference of the earth. He is also known as the Father of Geography"--Provided by publisher.


The Geometry of Celestial Mechanics

The Geometry of Celestial Mechanics

Author: Hansjörg Geiges

Publisher: Cambridge University Press

Published: 2016-03-24

Total Pages: 241

ISBN-13: 1107125405

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A first course in celestial mechanics emphasising the variety of geometric ideas that have shaped the subject.


Celestial Geometry

Celestial Geometry

Author: Ken Taylor

Publisher: Watkins Media Limited

Published: 2019-04-23

Total Pages: 0

ISBN-13: 1786782707

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This book travels the world to explore over 60 archaeological sites that enshrine the remarkable achievements of ancient astronomers. In many cultures, an early understanding of the cosmos is expressed through architecture—stone circles that act as giant computers for the timing of eclipses or connections with the rising or setting of planets. The author’s focus ranges broadly—from the great stone circles of Europe to the pyramids of Egypt and the pyramid-temples of Central America, from the medicine wheels of North America to the carved monoliths of Easter Island. In part, however, the book’s value lies in its revelation of astronomical alignments in lesser-known structures, such as the vast sun clock of Goseck in Germany and the ancient rock art of Australia. The book is organized by key celestial events including lunar and solar eclipses, and features original artwork showing key alignments and the movements of the planets and stars. The book offers beautiful and fascinating insights into the mysteries of the ancient world—and a vision of mankind’s efforts to integrate our sense of spiritual belonging with the mysteries of space and time.


Geometry

Geometry

Author: Michel Serres

Publisher: Bloomsbury Publishing

Published: 2017-02-23

Total Pages: 224

ISBN-13: 1474281419

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In this third installment of his classic 'Foundations' trilogy, Michel Serres takes on the history of geometry and mathematics. Even more broadly, Geometry is the beginnings of things and also how these beginnings have shaped how we continue to think philosophically and critically. Serres rejects a traditional history of mathematics which unfolds in a linear manner, and argues for the need to delve into the past of maths and identify a series of ruptures which can help shed light on how this discipline has developed and how, in turn, the way we think has been shaped and formed. This meticulous and lyrical translation marks the first ever English translation of this key text in the history of ideas.


Signature of the Celestial Spheres

Signature of the Celestial Spheres

Author: Hartmut Warm

Publisher: Rudolf Steiner Press

Published: 2010

Total Pages: 416

ISBN-13: 1855842351

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Is the solar system ordered? Or is it simply the result of random and chaotic accidents? This book takes the reader on a compelling and powerful journey of discovery, revealing the celestial spheres in their astonishingly complex patterns. Movements of the planets are found to correspond accurately with simple geometric figures and musical intervals, pointing to an exciting new perspective on the ancient idea of the "harmony of the spheres." Hartmut Warm's detailed presentation incorporates the distances, velocities, and periods of conjunction of the planets, as well as the rotations of the Sun, Moon, and Venus. Numerous graphics--including color plates--illustrate the extraordinary beauty of geometrical forms that result when the movements of several planets are viewed in relation to one another. Moreover, the author describes and analyzes concepts of the "music of the spheres," with special emphasis on Kepler's revolutionary ideas. The book also discusses current scientific beliefs about the origin of the universe and the solar system, enabling the reader to understand fully how this remarkable research supplements contemporary materialistic views of the cosmos. The appendix includes his mathematical and astronomical methods of calculation, as well as a detailed discussion of their accuracy and validity based on modern astronomical algorithms.


Inversive Geometry

Inversive Geometry

Author: Frank Morley

Publisher: Courier Corporation

Published: 2014-01-15

Total Pages: 292

ISBN-13: 0486493393

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This introduction to algebraic geometry makes particular reference to the operation of inversion. Topics include Euclidean group; inversion; quadratics; finite inversive groups; parabolic, hyperbolic, and elliptic geometries; differential geometry; and more. 1933 edition.


Geometry of Continued Fractions

Geometry of Continued Fractions

Author: Oleg Karpenkov

Publisher: Springer Science & Business Media

Published: 2013-08-15

Total Pages: 409

ISBN-13: 3642393683

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Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise of computational geometry has resulted in renewed interest in multidimensional generalizations of continued fractions. Numerous classical theorems have been extended to the multidimensional case, casting light on phenomena in diverse areas of mathematics. This book introduces a new geometric vision of continued fractions. It covers several applications to questions related to such areas as Diophantine approximation, algebraic number theory, and toric geometry. The reader will find an overview of current progress in the geometric theory of multidimensional continued fractions accompanied by currently open problems. Whenever possible, we illustrate geometric constructions with figures and examples. Each chapter has exercises useful for undergraduate or graduate courses.