A Treatise on Spherical Trigonometry, and Its Application to Geodesy and Astronomy, with Numerous Examples
A Treatise on Spherical Trigonometry, and Its Application to Geodesy and Astronomy, with Numerous Examples

Author: John Casey

Publisher: Hervey Press

Published: 2011-04

Total Pages: 180

ISBN-13: 1446056686

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This early work on spherical trigonometry is both expensive and hard to find in its first edition. It contains a comprehensive account of the subject and includes numerous examples and exercises. This is a fascinating work and highly recommended for anyone interested in learning spherical trigonometry. Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.

Euclid's Phaenomena
Euclid's Phaenomena

Author: J. L. Berggren

Publisher: Routledge

Published: 2019-05-29

Total Pages: 164

ISBN-13: 0429656793

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Originally published in 1996, this book contains a translation and study of Euclid's Phaenomena, a work which once formed part of the mathematical training of astronomers from Central Asia to Western Europe. Included is an introduction that sets Euclid's geometry of the celestial sphere, and its application to the astronomy of his day, into its historical context for readers not already familiar with it. So no knowledge of astronomy or advanced mathematics is necessary for an understanding of the work. The book shows mathematical astronomy shortly before the invention of trigonometry, which allowed the calculation of exact results and the subsequent composition of Ptolemy's Almagest. This work and the (roughly) contemporaneous treatises of Autolycus and Aristarchos form a corpus of the oldest extant works on mathematical astronomy. Together with Euclid's Optics one has the beginnings of the history of science as an application of mathematics.

Heavenly Mathematics
Heavenly Mathematics

Author: Glen Van Brummelen

Publisher: Princeton University Press

Published: 2017-04-04

Total Pages: 208

ISBN-13: 0691175993

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"Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught. Heavenly Mathematics traces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth."--Jacket.