Person: Diocles Of Carystus
Diocles was a Greek mathematician who was the first to prove the focal property of a parabolic mirror and studied the cissoid curve as part of an attempt to duplicate the cube.
Mathematical Profile (Excerpt):
 In this work we are told that Diocles studied the cissoid as part of an attempt to duplicate the cube.
 The extracts quoted by Eutocius from Diocles' On burning mirrors showed that he was the first to prove the focal property of a parabolic mirror.
 Although Diocles' text was largely ignored by later Greeks, it had considerable influence on the Arab mathematicians, in particular on alHaytham.
 Latin translations from about 1200 of the writings of alHaytham brought the properties of parabolic mirrors discovered by Diocles to European mathematicians.
 Recently, however, some more information about Diocles' life has come to us from the Arabic translation of Diocles' On burning mirrors whose discovery is described below.
 From this work we learn that Zenodorus travelled to Arcadia and entered into discussions with Diocles, so that certainly Diocles was working in Arcadia at the time.
 It is only recently that an Arabic translation of Diocles On burning mirrors has been found in the Shrine Library in Mashhad, Iran.
 The first of these propositions proves what has long been known to have been first established by Diocles, namely the focal property of the parabola.
 These constructions are again properties of the parabola that Diocles was the first to give.
 The duplication of the cube problem, again referred to by Eutocius, is studied by Diocles in Proposition 10.
 The next two propositions solve the problem of inserting two mean proportions between a pair of magnitudes using the cissoid curve which was invented by Diocles.
 In On burning mirrors Diocles also studies the problem of finding a mirror such that the envelope of reflected rays is a given caustic curve or of finding a mirror such that the focus traces a given curve as the Sun moves across the sky.
Born about 240 BC. Died about 180 BC.
View full biography at MacTutor
Tags relevant for this person:
Ancient Arab, Ancient Greek, Geometry, Origin Greece
Thank you to the contributors under CC BYSA 4.0!
 Github:

 nonGithub:
 @JJO'Connor
 @EFRobertson
References
Adapted from other CC BYSA 4.0 Sources:
 Oâ€™Connor, John J; Robertson, Edmund F: MacTutor History of Mathematics Archive