Eutocius of Ascalon (/jˈtʃəs/; Greek: Εὐτόκιος ὁ Ἀσκαλωνίτης; c. 480s – c. 520s) was a Palestinian-Greek mathematician who wrote commentaries on several Archimedean treatises and on the Apollonian Conics.

Life and work

Little is known about the life of Eutocius. He was born in Ascalon, then in Palestina Prima. He lived during the reign of Justinian. Eutocius became head the school of philosophy in Athens following Ammonius and he was succeeded in this position by Olympiodorus, possibly as early as 525.[1] He traveled to the greatest scientific centers of his time, including Alexandria, to conduct research on Archimedes' manuscripts.

He wrote commentaries on Apollonius and on Archimedes. The surviving works of Eutocius are:

Historians owe much of their knowledge of Archimedes' solution of a cubic by means of intersecting conics, alluded to in The Sphere and Cylinder, to Eutocius and his commentaries. Eutocius dedicated his commentary on Apollonius' Conics to Anthemius of Tralles, also a mathematician, and architect of the Hagia Sophia patriarchal basilica in Constantinople.[5]


  1. ^ Watts, p. 233-234
  2. ^ "Conica". Retrieved 25 February 2021.
  3. ^ Eutocii Ascalonitae commentarius. 1401–1500.
  4. ^ "Eutocius – Biography". Maths History. Retrieved 27 October 2021.
  5. ^ Boyer, p. 193. "Eutocius (born ca. 480), commented on several Archimedean treatises and on the Apollonian Conics. It is to Eutocius that we owe the Archimedean solution of a cubic through intersecting conics, referred to in The Sphere and Cylinder but not otherwise extant except through the commentary of Eutocius. The commentary by Eutocius on the Conics of Apollonius was dedicated to Anthemius of Tralles (t534), an able mathematician and architect of St. Sophia of Constantinople."