Eutocius of Ascalon

Eutocius of Ascalon (/juːˈtoʊʃəs/; c. 480 – c. 540) was a Greek-speaking Palestinian 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.^[1]

References

Sources

• Boyer, Carl Benjamin (1991). A History of Mathematics (Second ed.). John Wiley & Sons, Inc. ISBN 0-471-54397-7. 

External links

• O'Connor, John J.; Robertson, Edmund F., "Eutocius of Ascalon", MacTutor History of Mathematics archive, University of St Andrews .