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Claudius Ptolemy

克劳狄乌斯·托勒密 Κλαύδιος Πτολεμαῖος

The great systematizer of ancient mathematical science, whose books outlasted nearly everything they were built on.

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Claudius Ptolemy (c. 100–c. 170 CE) worked in Roman Alexandria. His Almagest, Geography and other works served as standard textbooks of astronomy, geography and astrology for many centuries.

Date
c. 100–c. 170 CE
Place
Alexandria under Rome
Civilisation
Greco-Roman
Fields
Astronomy, Geography & Navigation, Mathematics & Computing

I know that I am mortal, a creature of a day; but when I search into the multitudinous revolving spirals of the stars my feet no longer rest on the earth, but, standing by Zeus himself, I take my fill of ambrosia, the food of the gods.

—— Greek Anthology (Palatine Anthology) IX.577, attributed to Ptolemy; trans. W. R. Paton (Loeb, 1917)
The opening page of a Latin Almagest copied in Paris around 1213. Ptolemy is painted as a crowned king, a common medieval confusion of the astronomer with the Ptolemaic dynasty. Bibliothèque nationale de France.
The opening page of a Latin Almagest copied in Paris around 1213. Ptolemy is painted as a crowned king, a common medieval confusion of the astronomer with the Ptolemaic dynasty. Bibliothèque nationale de France.public domain, via Wikimedia Commons source
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History

Almost all that is known of Claudius Ptolemy comes from his own works. The observations he reports in the Almagest run from 26 March 127 to 2 February 141 CE, all made at Alexandria. "Claudius" marks Roman citizenship; "Ptolemy" was a common name in Egypt, and he had no tie to the royal dynasty. The Almagest, thirteen books originally titled Mathematical Syntaxis, starts from a central, stationary Earth, builds a geometrical model for the sun, the moon and each planet, derives the parameters from observations and turns them into tables for prediction; it also contains a catalogue of 1,022 stars in 48 constellations. Later came the more practical Handy Tables, the Planetary Hypotheses on the physical arrangement of the heavens, the astrological Tetrabiblos, and works on optics and harmonics. The eight books of the Geography give longitudes and latitudes for more than six thousand places and describe two ways of projecting the globe onto a flat map. They assume a small Earth, 500 stades to the degree or 180,000 stades round, and stretch Eurasia too far east. Translated into Latin by Jacopo Angeli around 1406, the Geography was copied and printed many times, and Columbus's belief that Asia lay a short sail west drew on exactly this tradition of a small Earth and a long Asia.

Why it matters

Ptolemy's weight lies in turning Greek astronomy from a set of separate models into a complete textbook that runs from first principles to working tables. Much of his predecessors' work, Hipparchus' above all, survives only through his citations; the Almagest became standard almost at once and, through Arabic and Latin translations, governed astronomy until the end of the sixteenth century. His practice also left a seam. In the Almagest the circles are geometrical devices for computation; in the Planetary Hypotheses he tried to give them physical spheres. The gap between calculation and physical reality was pressed again and again by Ibn al-Haytham's Doubts, the Maragha astronomers and Copernicus. In geography his lasting legacy was method more than numbers: coordinates and projections that let a map be rebuilt from text alone.

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Sources

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