Celestial Geometry

Celestial Geometry

Author: Ken Taylor

Publisher: National Geographic Books

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.


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.


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.


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.


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: 1316546241

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Celestial mechanics is the branch of mathematical astronomy devoted to studying the motions of celestial bodies subject to the Newtonian law of gravitation. This mathematical introductory textbook reveals that even the most basic question in celestial mechanics, the Kepler problem, leads to a cornucopia of geometric concepts: conformal and projective transformations, spherical and hyperbolic geometry, notions of curvature, and the topology of geodesic flows. For advanced undergraduate and beginning graduate students, this book explores the geometric concepts underlying celestial mechanics and is an ideal companion for introductory courses. The focus on the history of geometric ideas makes it perfect supplementary reading for students in elementary geometry and topology. Numerous exercises, historical notes and an extensive bibliography provide all the contextual information required to gain a solid grounding in celestial mechanics.


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.


Celestial Mirror

Celestial Mirror

Author: Barry Perlus

Publisher: Yale University Press

Published: 2020-06-26

Total Pages: 168

ISBN-13: 0300246277

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Explore the eighteenth-century Indian astronomical observatories called the Jantar Mantars, massive, stunning structures built to observe and understand the heavens Between 1724 and 1730, Maharaja Sawai Jai Singh II of Jaipur constructed five astronomical observatories, called Jantar Mantars, in northern India. The four remaining observatories are an extraordinary fusion of architecture and science, combining elements of astronomy, astrology, and geometry into forms of remarkable beauty. The observatories’ large scale and striking geometric forms have captivated the attention of architects, artists, scientists, and historians worldwide, yet their purpose and use remain largely unknown to the public. In this book, Barry Perlus’s visually driven exploration brings readers to the Jantar Mantars and creates an immersive experience. Panoramas plunge the viewer into a breathtaking 360-degree space, while pages of explanatory illustrations describe the observatories and the workings of their many instruments. The book provides the experience of visiting the sites, the historical context of the Jantar Mantars, and an understanding of their scientific and architectural innovations.


Relativity in Astrometry, Celestial Mechanics and Geodesy

Relativity in Astrometry, Celestial Mechanics and Geodesy

Author: Michael H. Soffel

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 221

ISBN-13: 3642734065

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The book "Relativity in Astrometry, Celestial Mechanics and Geodesy" repre sents a significant contribution to modern relativistic celestial mechanics and astrometry. In these branches of astronomy the theory of general relativity is used nowadays as an efficient practical framework for constructing accurate dynamical theories of motion of celestial bodies and discussing high-precision observations. The author develops the useful tools for this purpose and intro duces the reader into the modern state of the art in these domains. More specifically, the distinctive feature of the book is the wide application of the tetrad formalism to astronomical problems. One may not agree with the author's opinion that this is the only method so far to be able to treat the rel ativistic astronomical problems in a consistent and satisfactory manner. (On the contrary, one may foresee in the nearest future other books on relativistic celestial mechanics and astrometry based on different approaches solving the same problems. ) However, we are now at the beginning of practical relativis tic astronomy and it will demand much effort to reconstruct in a relativistic manner all Newtonian conceptions of ephemeris astronomy and geodesy. In particular, this concern. s the definitions of reference frames, time scales and astronomical units of measurement. This book is one of the first steps in the correct direction. V. A.


Textbook on Spherical Astronomy

Textbook on Spherical Astronomy

Author: W. M. Smart

Publisher: Cambridge University Press

Published: 1977-07-07

Total Pages: 452

ISBN-13: 9780521291804

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This new revision of a standard work gives a general but comprehensive introduction to positional astronomy. Useful for researchers as well as undergraduates.