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Celestial Geometry

Celestial Geometry PDF Author: Ken Taylor
Publisher: National Geographic Books
ISBN: 1786782707
Category : Social Science
Languages : en
Pages : 0

Book Description
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 PDF Author: Ken Taylor
Publisher: National Geographic Books
ISBN: 1786782707
Category : Social Science
Languages : en
Pages : 0

Book Description
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 PDF Author: Mary Gow
Publisher: Enslow Publishing, LLC
ISBN: 9780766031203
Category : Juvenile Nonfiction
Languages : en
Pages : 136

Book Description
"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 PDF Author: Hansjörg Geiges
Publisher: Cambridge University Press
ISBN: 1107125405
Category : Mathematics
Languages : en
Pages : 241

Book Description
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 PDF Author: Hartmut Warm
Publisher: Rudolf Steiner Press
ISBN: 1855842351
Category : Body, Mind & Spirit
Languages : en
Pages : 416

Book Description
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 PDF Author: Frank Morley
Publisher: Courier Corporation
ISBN: 0486493393
Category : Mathematics
Languages : en
Pages : 292

Book Description
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 Civilized

Geometry Civilized PDF Author: J. L. Heilbron
Publisher: Oxford University Press
ISBN: 9780198506904
Category : History
Languages : en
Pages : 344

Book Description
This lavishly illustrated book provides an unusually accessible approach to geometry by placing it in historical context. With concise discussions and carefully chosen illustrations the author brings the material to life by showing what problems motivated early geometers throughout the world. Geometry Civilized covers classical plane geometry, emphasizing the methods of Euclid but also drawing on advances made in China and India. It includes a wide range of problems, solutions, and illustrations, as well as a chapter on trigonometry, and prepares its readers for the study of solid geometry and conic sections.

Lectures on the Geometry of Numbers

Lectures on the Geometry of Numbers PDF Author: Carl Ludwig Siegel
Publisher: Springer Science & Business Media
ISBN: 366208287X
Category : Mathematics
Languages : en
Pages : 168

Book Description
Carl Ludwig Siegel gave a course of lectures on the Geometry of Numbers at New York University during the academic year 1945-46, when there were hardly any books on the subject other than Minkowski's original one. This volume stems from Siegel's requirements of accuracy in detail, both in the text and in the illustrations, but involving no changes in the structure and style of the lectures as originally delivered. This book is an enticing introduction to Minkowski's great work. It also reveals the workings of a remarkable mind, such as Siegel's with its precision and power and aesthetic charm. It is of interest to the aspiring as well as the established mathematician, with its unique blend of arithmetic, algebra, geometry, and analysis, and its easy readability.

Celestial Mirror

Celestial Mirror PDF Author: Barry Perlus
Publisher: Yale University Press
ISBN: 0300246277
Category : Science
Languages : en
Pages : 168

Book Description
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.

Geometry of Continued Fractions

Geometry of Continued Fractions PDF Author: Oleg Karpenkov
Publisher: Springer Science & Business Media
ISBN: 3642393683
Category : Mathematics
Languages : en
Pages : 409

Book Description
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.

Celestial Mechanics

Celestial Mechanics PDF Author: Alessandra Celletti
Publisher: Springer Science & Business Media
ISBN: 0387685774
Category : Science
Languages : en
Pages : 277

Book Description
The aim of this book is to demonstrate to a wider audience, as well as to a more skilled audience, the many fascinating aspects of modern celestial mechanics. It sets out to do this without the use of mathematics. After giving the reader the technical tools needed for a basic understanding of the underlying physical phenomena (using only elementary mathematics), facts and figures are provided on historical events, modern discoveries and future applications. Contents are divided into major topics where the three "souls" of modern celestial mechanics (dynamical systems, Solar System and stellar systems, spaceflight dynamics) play a major role.