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Oenopides of Chios
Bornc. 490 BCE
Died420 BCE

Oenopides of Chios (Greek: Οἰνοπίδης ὁ Χῖος; born c. 490 BCE) was an ancient Greek geometer, astronomer and mathematician, who lived around 450 BCE.


Only limited information are known about the early life of Oenopides except his birthplace which was the island of Chios around 490 BCE.[1] It is believed that Oenopides spent time in Athens but there is only circumstantial evidence to support this. Plato mentions him in Erastae: A Dialogue On Philosophy which places him in Athens.[2] The English translator of the same book reveals (in footnote 3) one other aspect in Oenopides life which was his travel in Egypt in which he enriched his knowledge in the art of Astronomy and Geometry by some Egyptian priests.[2]


The main accomplishment of Oenopides as an astronomer was his determination of the angle between the plane of the celestial equator, and the zodiac (the yearly path of the Sun in the sky). He found this angle to be 24°. In effect this amounted to measuring the inclination of the Earth axis. Oenopides's result remained the standard value for two centuries, until Eratosthenes measured it with greater precision.[3]

Oenopides also determined the value of the Great Year, that is, the shortest interval of time that is equal to both an integer number of years and an integer number of months. As the relative positions of the Sun and Moon repeat themselves after each Great Year, this offers a means to predict solar and lunar eclipses. In actual practice this is only approximately true, because the ratio of the length of the year and that of the month does not exactly match any simple mathematical fraction, and because in addition the lunar orbit varies continuously.

Oenopides put the Great Year at 59 years, corresponding to 730 months. This was a good approximation, but not a perfect one, since 59 (sidereal) years are equal to 21550.1 days, while 730 (synodical) months equal 21557.3 days. The difference therefore amounts to seven days. In addition there are the interfering variations in the lunar orbit. However, a 59-year period had the advantage that it corresponded quite closely to an integer number of orbital revolutions of several planets around the Sun, which meant that their relative positions also repeated each Great Year cycle. Before Oenopides a Great Year of eight solar years was in use (= 99 months). Shortly after Oenopides, in 432 BC, Meton and Euctemon discovered the better value of 18 years, equal to 223 months (the so-called Saros period).


Distinction of theorems and problems

While Oenopides's innovations as an astronomer mainly concern practical issues, as a geometer he seems to have been rather a theorist and methodologist, who set himself the task to make geometry comply with higher standards of theoretical purity. Thus he introduced the distinction between 'theorems' and 'problems': though both are involved with the solution of an exercise, a theorem is meant to be a theoretical building block to be used as the fundament of further theory, while a problem is only an isolated exercise without further follow-up or importance.

Compass and straightedge

Oenopides apparently also was the author of the rule that geometrical constructions should use no other means than compass and straightedge. In this context his name adheres to two specific elementary constructions of plane geometry: first, to draw from a given point a straight line perpendicular to a given straight line; and second, on a given straight line and at a given point on it, to construct a rectilineal angle equal to a given rectilineal angle.

Miscellaneous opinions attributed to Oenopides

Several more opinions in various areas are attributed to Oenopides:


  1. ^ "Oenopides biography". Retrieved 2017-08-19.
  2. ^ a b Plato (1826). Erastae: a dialogue on philosophy. p. 9.
  3. ^ Bodnár, István M. (2013). "Oenopides of Chios". The Encyclopedia of Ancient History. John Wiley & Sons, Inc. doi:10.1002/9781444338386.wbeah21234. ISBN 9781444338386.