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Eudoxus, son of Aeschines, was born and died in Cnidus (also transliterated Knidos), a city on the southwest coast of Anatolia. [3] The years of Eudoxus' birth and death are not fully known but Diogenes Laërtius gave several biographical details, mentioned that Apollodorus said he reached his acme in the 103rd Olympiad (368– 365 BC), and claimed he died in his 53rd year.
The cosmological model of concentric (or homocentric) spheres, developed by Eudoxus, Callippus, and Aristotle, employed celestial spheres all centered on the Earth. [1] [2] In this respect, it differed from the epicyclic and eccentric models with multiple centers, which were used by Ptolemy and other mathematical astronomers until the time of Copernicus.
In Greek antiquity the ideas of celestial spheres and rings first appeared in the cosmology of Anaximander in the early 6th century BC. [7] In his cosmology both the Sun and Moon are circular open vents in tubular rings of fire enclosed in tubes of condensed air; these rings constitute the rims of rotating chariot-like wheels pivoting on the Earth at their centre.
Book 2 provides the basic results that one can arrive at with a spherical astronomy. Book 3 provides a theory of the sun. Book 4 provides an equivalent treatment for the moon. Book 5 deals with the new complications that arise from applying Ptolemy's theory to the moon, as opposed to the simpler case of the sun.
The Art of Eudoxus is a treatise on astronomy which was preserved in a second-century BCE papyrus and which mentions Hermes as an authority. [ 13 ] The Liber Hermetis ("The Book of Hermes") is an important work on astrology laying out the names of the decans (a distinctly Egyptian system that divided the zodiac into 36 parts).
Callippus was born at Cyzicus, and studied under Eudoxus of Cnidus at the Academy of Plato. He also worked with Aristotle at the Lyceum, which means that he was active in Athens prior to Aristotle's death in 322 BC. He observed the movements of the planets and attempted to use Eudoxus' scheme of connected spheres to account for their movements.
Astronomer Johannes Kepler proposed a model of the Solar System in which the five solids were set inside one another and separated by a series of inscribed and circumscribed spheres. Eudoxus of Cnidus (c. 408 – c. 355 BC) is considered by some to be the greatest of classical Greek mathematicians, and in all antiquity second only to Archimedes ...
Aratus of Soli. Aratus (/ ə ˈ r eɪ t ə s /; Ancient Greek: Ἄρατος ὁ Σολεύς; c. 315/310 – 240 BC) was a Greek didactic poet.His major extant work is his hexameter poem Phenomena (Ancient Greek: Φαινόμενα, Phainómena, "Appearances"; Latin: Phaenomena), the first half of which is a verse setting of a lost work of the same name by Eudoxus of Cnidus.