Euclid's Phaenomena: A Translation and Study of a Hellenistic Treatise in Spherical Astronomy, 1st Edition (Paperback) book cover

Euclid's Phaenomena

A Translation and Study of a Hellenistic Treatise in Spherical Astronomy, 1st Edition

By J. L. Berggren, R. S. D. Thomas


132 pages

Purchasing Options:$ = USD
Paperback: 9780367109806
pub: 2020-06-22
SAVE ~$8.00
Available for pre-order. Item will ship after 22nd June 2020
Hardback: 9780367109790
pub: 2019-06-05
SAVE ~$22.00
eBook (VitalSource) : 9780429024139
pub: 2019-05-29
from $20.00

FREE Standard Shipping!


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.

Table of Contents

Preface to the Second Printing. Preface. 1. Introduction. 1a. The Purpose and Strategy of the Phaenomena. 1b. Pre-Euclidean Works on the Subject of the Phaenomena. 1c. The Integrity and Authenticity of the Phaenomena. 1d. History of the Text. 2. Euclid's Presuppositions. 2a. Mathematical Presuppositions. 2b. Astronomical Presuppositions. 2c. Geographical Presuppositions. 3. Notes on the Translation. 3a. The Greek Text. 3b. Other Translations. 3c. General Remarks. 3d. Technical Remarks. 3e. The Figures.

About the Series

Routledge Revivals

Are there elusive titles that you need and have been trying to source for years but thought that you would never be able to find?

Well this may be the end of your quest – here is a fantastic opportunity for you to discover past brilliance and purchase previously out of print and unavailable titles by some of the world’s most eminent academic scholars.

Drawing from over 100 years of innovative, cutting-edge publishing, Routledge Revivals is an exciting programme whereby key titles from the distinguished and extensive backlist of the many acclaimed imprints associated with Routledge will be re-issued.

The programme draws upon the illustrious backlists of Kegan Paul, Trench & Trubner, Routledge & Kegan Paul, Methuen, Allen & Unwin and Routledge itself.

Routledge Revivals spans the whole of the Humanities and Social Sciences, and includes works by some of the world’s greatest thinkers including Emile Durkheim, Max Weber, Simone Weil, Martin Buber, Karl Jaspers and Max Beloff.

If you are interested in Revivals in the Behavioral Sciences, please visit

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / History & Philosophy