Ptolemy

Claudius Ptolemy


Born: about 85 in Egypt
Died: about 165 in Alexandria, Egypt

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One of the most influential Greek astronomers and geographers of his time, Ptolemy propounded the geocentric theory that prevailed for 1400 years.

Ptolemy made astronomical observations from Alexandria Egypt during the years AD 127-41. He probably spent most of his life in Alexandria.

Ptolemy's two major works are the Almagest and the Geography . TheAlmagest is the earliest of his works and gives in detail the mathematical theory of the motions of the Sun, Moon, and planets. Ptolemy made his most original contribution by presenting details for the motions of each of the planets. TheAlmagest was not superseded until a century after Copernicus presented his heliocentric theory in the De revolutionibus of 1543.

Ptolemy's geometric models, used only to predict the positions of these bodies, employed combinations of circles known as epicycles, within the framework of the basic Earth-centred system supplied by Aristotle.

Ptolemy devised new geometrical proofs and theorems. He obtained, using chords of a circle and an inscribed 360-gon, the approximation

pi = 3 ^1^7/120 = 3.14166

and, using sqrt3 = chord 60degrees,

sqrt3 = 1.73205.

In a book entitled Analemma he discussed the projection of points on the celestial sphere. In Planisphaerium he is concerned with stereographic projection.

References elsewhere in this archive:

Tell me about work on trigonometry

Tell me about approximations to pi

Other Web sites:

Florence, Italy
Library of Congress, USA
Clarke University, USA

References:

  1. Dictionary of Scientific Biography
  2. Biography in Encyclopaedia Britannica
  3. T L Heath, A Manual of Greek Mathematics (1963).
  4. F Boll, Studien über Clauddius Ptolemäus, Jahrbücher für classische Philologie (1894), 53-66.
  5. O Gingerich, The Eye of Heaven: Ptolemy, Copernicus, Kepler (1993).

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JOC/EFR February 1996