Autolycus of Pitane - Life and Work

Life and Work

Autolycus was born in Pitane, a town of Aeolis within Western Anatolia. Of his personal life nothing is known, although he was a contemporary of Aristotle and his works seem to have been completed in Athens within the years 335 BC and 300 BC. Euclid references some of Autolycus' work, and Autolycus is known to have taught Arcesilaus. Autolycus' surviving works include a book on spheres entitled On the Moving Sphere and another On Risings and Settings of celestial bodies. Autolycus' works were translated by Maurolycus in the sixteenth century.

On the Moving Sphere is believed to be the oldest mathematical treatise from ancient Greece that is completely preserved. All Greek mathematical works prior to Autolycus' Spheres are taken from later summaries, commentaries, or descriptions of the works. One reason for its survival is that it had originally been a part of a widely used collection called "Little Astronomy", which was preserved by translation into Arabic in the 9th century. In Europe, it was lost, but was brought back during the crusades in the 12th century, and translated back into Latin. In his Sphere, Autolycus studied the characteristics and movement of a sphere. The work is simple and not exactly original since it consists of only elementary theorems on spheres that would be needed by astronomers, but its theorems are clearly enunciated and proved. Its prime significance, therefore, is that it indicates that by his day there was a thoroughly established textbook tradition in geometry that is today regarded as typical of classical Greek geometry. The theorem statement is clearly enunciated, a figure of the construction is given alongside the proof, and finally a concluding remark is made. Moreover, it gives indications of what theorems were well known in his day (around 320 BCE). Two hundred years later Theodosius' wrote Sphaerics, a book that is believed to have a common origin with On the Moving Sphere in some pre-Euclidean textbook, possibly written by Eudoxus.

In astronomy, Autolycus studied the relationship between the rising and the setting of the celestial bodies in his treatise in two books entitled On Risings and Settings. The second book is actually an expansion of his first book and of higher quality. He wrote that "any star which rises and sets always rises and sets at the same point in the horizon." Autolycus relied heavily on Eudoxus' astronomy and was a strong supporter of Eudoxus' theory of homocentric spheres.