Eudoxus of Cnidus: Difference between revisions

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Eudoxus's father Aeschines of [[Cnidus]] loved to watch stars at night. Eudoxus first travelled to [[Taranto|Tarentum]] to study with [[Archytas]], from whom he learned [[mathematics]]. While in [[Italy]], Eudoxus visited [[Sicily]], where he studied medicine with [[Philistion of Locri|Philiston]].
Around 387 &nbsp;BC, at the age of 23, he traveled with the physician [[Theomedon]], who—who (according to [[Diogenes Laërtius]]) some believed was his lover,<ref>Diogenes Laertius; VIII.87</ref> to—to [[Athens]] to study with the followers of [[Socrates]]. He eventually attended lectures of [[Plato]] and other philosophers for several months, but due to a disagreement they had a falling-out. Eudoxus was quite poor and could only afford an apartment at the [[Piraeus]]. To attend Plato's lectures, he walked the seven{{convert|7|mi|km}} miles (11&nbsp;km)in each direction, each day. Due to his poverty, his friends raised funds sufficient to send him to [[Heliopolis (Ancient Egypt)|Heliopolis]], [[Roman Egypt|Egypt]], to pursue his study of astronomy and mathematics. He lived there for 16 months. From Egypt, he then traveled north to [[Cyzicus]], located on the south shore of the Sea of Marmara, the [[Propontis]]. He traveled south to the court of [[Mausolus]]. During his travels he gathered many students of his own.
Around 368 BC, Eudoxus returned to Athens with his students. According to some sources, around 367 he assumed headship of the Academy during Plato's period in Syracuse, and taught Aristotle.{{Citation needed|date=September 2010}} He eventually returned to his native Cnidus, where he served in the city assembly. While in Cnidus, he built an observatory and continued writing and lecturing on [[theology]], astronomy and [[meteorology]]. He had one son, Aristagoras, and three daughters, Actis, Philtis, and Delphis.
In mathematical astronomy, his fame is due to the introduction of the [[concentric spheres|astronomical globe]], and his early contributions to understanding the movement of the [[planet]]s.
His work on [[proportionProportion (mathematics)|proportion]]s shows insight into [[number]]s; it allows rigorous treatment of continuous quantities and not just [[Integer|whole numbers]] or even [[rational number]]s. When it was revived by [[Niccolò Fontana Tartaglia|Tartaglia]] and others in the 16th century, it became the basis for quantitative work in science for a century, until it was replaced by [[Richard Dedekind]].
[[Impact crater|Craters]] on [[List of craters on Mars#E|Mars]] and the [[Eudoxus (lunar crater)|Moon]] are named in his honor. An [[algebraic curve]] (the [[Kampyle of Eudoxus]]) is also named after him.