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Eudoxus and Cnidus
Ptolemy's catalogue is informed by Eudoxus of Cnidus, a Greek astronomer of the 4th century BC who introduced earlier Babylonian astronomy to the Hellenistic culture.
Greek astronomy essentially adopted the older Babylonian system in the Hellenistic era, first introduced to Greece by Eudoxus of Cnidus in the 4th century BC.
In Greece, the constellation of Centaurus was noted by Eudoxus of Cnidus in the fourth century BC and by Aratus in the third century.
In this work, Proclus also listed the first mathematicians associated with Plato: a mature set of mathematicians ( Leodamas of Thasos, Archytas of Taras, and Theaetetus ), a second set of younger mathematicians ( Neoclides, Eudoxus of Cnidus ), and a third yet younger set ( Amyntas, Menaechmus and his brother Dinostratus, Theudius of Magnesia, Hermotimus of Colophon and Philip of Opus ).
* The Ptolemaic model of planetary motion: Based on the geometrical model of Eudoxus of Cnidus, Ptolemy's Almagest, demonstrated that calculations could compute the exact positions of the Sun, Moon, stars, and planets in the future and in the past, and showed how these computational models were derived from astronomical observations.
The Babylonian star catalogs entered Greek astronomy in the 4th century BC, via Eudoxus of Cnidus and others.
* 489 BC — Birth of Eudoxus of Cnidus, early mathematician and adherent of Pythagoras Dion, student of Plato and tyrant of Syracuse
As a Neoplatonist philosopher, she belonged to the mathematic tradition of the Academy of Athens, as represented by Eudoxus of Cnidus ; she was of the intellectual school of the 3rd century thinker Plotinus, which encouraged logic and mathematical study in place of empirical enquiry and strongly encouraged law in place of nature.
* Eudoxus of Cnidus ( c. 408 BC – c. 347 BC ), Greek astronomer and mathematician
Eudoxus of Cnidus ( 410 or 408 BC355 or 347 BC ) was a Greek astronomer, mathematician, scholar and student of Plato.
* Phaenomena ( Φαινόμενα ) and Entropon ( Ἔντροπον ), on spherical astronomy, probably based on observations made by Eudoxus in Egypt and Cnidus
* Eudoxus of Cnidus, Greek astronomer, mathematician, physician, scholar and adherent of Pythagoras ( d. c. 355 BC )
The first geometrical, three-dimensional models to explain the apparent motion of the planets were developed in the 4th century BC by Eudoxus of Cnidus and Callippus of Cyzicus.
* Eudoxus of Cnidus, Greek astronomer and mathematician ( b. c. 408 BC )
* Eudoxus of Cnidus develops the method of exhaustion for mathematically determining the area under a curve.
* Eudoxus of Cnidus
Eudoxus of Cnidus, who worked with Plato, developed a less mythical, more mathematical explanation of the planets ' motion based on Plato's dictum stating that all phenomena in the heavens can be explained with uniform circular motion.
His major extant work is his hexameter poem Phaenomena ( Φαινόμενα " Appearances "), the first half of which is a verse setting of a lost work of the same name by Eudoxus of Cnidus.
The Phaenomena appears to be based on two prose works — Phaenomena and Enoptron ( Ἔνοπτρον " Mirror ", presumably a descriptive image of the heavens )— by Eudoxus of Cnidus, written about a century earlier.
Among his other works are editions of Eudoxus of Cnidus ( 1887 ), the Ἀθηναίων πολιτεία ( 4th ed., 1903 ), a work of great importance, and Bacchylides ( 3rd.
Greek authors of the 4th century ( Pseudo-Scylax, Eudoxus of Cnidus ) mention Syrmatae as the name of a people living at the Don, perhaps reflecting the ethnonym as it was pronounced in the final phase of Sarmatian culture.
It may have been inspired by the non-Ptolemaic system of Girolamo Fracastoro, who used either 77 or 79 orbs in his system inspired by Eudoxus of Cnidus.
He was the first to realize that the concentric spheres of Eudoxus of Cnidus and Callippus, unlike those used by many astronomers of later times, were not to be taken as material objects, but only as part of an algorithm similar to the modern Fourier series.
Other notable members of Akademia include Aristotle, Heraclides Ponticus, Eudoxus of Cnidus, Philip of Opus, Crantor, and Antiochus of Ascalon.

Eudoxus and Greek
In the 2nd or 1st century BC, Eudoxus of Cyzicus was the first Greek to cross the Indian Ocean.
The first documented systematic technique capable of determining integrals is the method of exhaustion of the ancient Greek astronomer Eudoxus ( ca.
The monsoon wind system of the Indian Ocean was first sailed by Greek navigator Eudoxus of Cyzicus in 118 BC.
His name Eudoxus means " honored " or " of good repute " ( in Greek Εὔδοξος, from eu " good " and doxa " opinion, belief, fame ").
Eudoxus is considered by some to be the greatest of classical Greek mathematicians, and in all antiquity, second only to Archimedes.
Callippus, a Greek astronomer of the 4th century, added seven spheres to Eudoxus ' original 27 ( in addition to the planetary spheres, Eudoxus included a sphere for the fixed stars ).
However, Eudoxus ' importance to Greek astronomy is considerable, as he was the first to attempt a mathematical explanation of the planets.
For instance, an infinite geometric sum is implicit in Zeno's paradox of the dichotomy .< ref name =" Stillwell Infinite Series Early Results "> Later, Greek mathematicians such as Eudoxus and Archimedes made more explicit, but informal, use of the concepts of limits and convergence when they used the method of exhaustion to compute the area and volume of regions and solids.
Proclus, a Greek mathematician who lived several centuries after Euclid, wrote in his commentary of the Elements: " Euclid, who put together the Elements, collecting many of Eudoxus ' theorems, perfecting many of Theaetetus ', and also bringing to irrefragable demonstration the things which were only somewhat loosely proved by his predecessors ".
Whether or not the story told by Poseidonius of a shipwrecked Indian pilot teaching Eudoxus about the monsoon winds is true, Greek ships were in fact soon using the monsoon winds to sail to India.
Eudoxus ( under the Greek spelling of his name, Eudoxos ) is the narrator of L. Sprague de Camp's historical novel The Golden Wind.
But earlier Greek astronomers like Eudoxus spoke of vernal equinox at 15 ° in Aries, while later Greeks spoke of vernal equinox at 8 ° and then 0 ° in Aries ( cf.
He is sometimes conjectured to have been the captain of the Greek explorer Eudoxus of Cyzicus ' ship.
Graph of Kampyle of EudoxusThe Kampyle of Eudoxus ( Greek: καμπύλη, meaning simply " curved, curve ") is a curve, with a Cartesian equation of
This quartic curve was studied by the Greek astronomer and mathematician Eudoxus of Cnidus ( c. 408 BC – c. 347 BC ) in relation to the classical problem of doubling the cube.

Eudoxus and philosopher
In his Phaenomena, which set to verse an astronomical treatise written by the philosopher Eudoxus in roughly 350 BC, the poet Aratus describes " those five other orbs, that intermingle with constellations and wheel wandering on every side of the twelve figures of the Zodiac.

Eudoxus and astronomer
In Ancient Greece, the astronomer and mathematician Eudoxus laid down a full set of the classical constellations around 370 BC.
Eudoxus, the astronomer, Ctesias, the writer on Persian history, and Sostratus, the builder of the celebrated Pharos at Alexandria, are the most remarkable of the Knidians mentioned in history.
Hipparchus ( about a century later ), who was a scientific astronomer and observer, has left a commentary upon the Phaenomena of Eudoxus and Aratus, accompanied by the discrepancies which he had noticed between his own observations and their descriptions.

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