Eutocius of Ascalon

Greek mathematician
The basics

Quick Facts

IntroGreek mathematician
PlacesTurkey
Mathematician
Work fieldMathematics
Gender
Male
Birth1 January 480, Ashkelon, Southern District, Israel
Death1 January 600
The details

Biography

Eutocius of Ascalon (; Greek: Εὐτόκιος; c. 480 – c. 540) was a Greek-speaking 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 wrote commentaries on Apollonius and on Archimedes. The surviving works of Eutocius are:

  • A Commentary on the first four books of the Conics of Apollonius.
  • Commentaries on:
    • the Sphere and Cylinder of Archimedes.
    • the Quadrature of the Circle of Archimedes (In Archimedis circuli dimensionem in Latin).
    • the Two Books on Equilibrium of Archimedes.

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.

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