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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
* Eudoxus of Cnidus, Greek philosopher and astronomer who has expanded on Plato's ideas ( or 355 BC ) ( b. 410 BC or 408 BC )
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
* 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 408
Eudoxus ( 408 355 BCE ) and Theaetetus ( 417 369 BCE ) formulated theorems but did not prove them.
* Zeno ( Fifth Century BC ), Eudoxus ( 408 355 BC ), Archimedes ( 287 ?– 212 BC )
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 BC
The original work of Eudoxus is lost, but it survives as a versification by Aratus, dating to the 3rd century BC.
In the 2nd or 1st century BC, Eudoxus of Cyzicus was the first Greek to cross the Indian Ocean.
The monsoon wind system of the Indian Ocean was first sailed by Greek navigator Eudoxus of Cyzicus in 118 BC.
In Ancient Greece, the astronomer and mathematician Eudoxus laid down a full set of the classical constellations around 370 BC.
Around 368 BC, Eudoxus returned to Athens with his students.
The Greco-Roman trade with India started by Eudoxus of Cyzicus in 130 BC kept on increasing, and according to Strabo ( II. 5. 12 ), by the time of Augustus, up to 120 ships were setting sail every year from Myos Hormos in Roman Egypt to India.
* Eudoxus of Cyzicus, 130 BC, navigator and explorer.
It had been earlier mentioned by Eudoxus in the 4th century BC and Aratus in the 3rd century BC.
According to Poseidonius, later reported in Strabo's Geography, the monsoon wind system of the Indian Ocean was first sailed by Eudoxus of Cyzicus in 118 or 116 BC.

Eudoxus and
Astronomers such as Eudoxus ( contemporary with Plato ) observed planetary motions and cycles, and created a geocentric cosmological model that would be accepted by Aristotle this model generally lasted until Ptolemy, who added epicycles to explain the retrograde motion of Mars.

Eudoxus and was
It was mentioned by Eudoxus in the 4th century BCE and Aratus in the 3rd century BCE.
He was so influential that even after his death, Constantius II heeded his and Eudoxus of Constantinople's advice to attempt to convert the Roman Empire to Arianism by creating Arian Councils and official Arian Doctrines.
The first coherent model was proposed by Eudoxus of Cnidos.
Eudoxus () was the name of two ancient Greeks:
Eudoxus was quite poor and could only afford an apartment at the Piraeus.
Eudoxus was able to restore confidence in the use of proportionalities by providing an astounding definition for the meaning of the equality between two ratios.
We are fairly well informed about the contents of Phaenomena, for Eudoxus ' prose text was the basis for a poem of the same name by Aratus.
However, Eudoxus ' importance to Greek astronomy is considerable, as he was the first to attempt a mathematical explanation of the planets.
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.
The discrepancy between rationals and reals was finally resolved by Eudoxus of Cnidus, a student of Plato, who reduced the comparison of irrational ratios to comparisons of multiples ( rational ratios ), thus anticipating Richard Dedekind's definition of real numbers.
Pythagoras was probably the source of most of books I and II, Hippocrates of Chios ( not the better known Hippocrates of Kos ) of book III, and Eudoxus book V, while books IV, VI, XI, and XII probably came from other Pythagorean or Athenian mathematicians.
It was first used geometrically by the mathematicians Archimedes and Eudoxus in an effort to compute π, and was formulated in modern terms by Gauss.
After Eudoxus returned with a cargo of aromatics and precious stones a second voyage was undertaken in 116 BC.
When Eudoxus was returning from his second voyage to India the wind forced him south of the Gulf of Aden and down the coast of Africa for some distance.
Due to its appearance and the story told by the natives, Eudoxus concluded that the ship was from Gades ( today's Cádiz in Spain ) and had sailed south around Africa.
Eudoxus established their measurement, proving the pyramid and cone to have one-third the volume of a prism and cylinder on the same base and of the same height, and was probably the discoverer of a proof that the volume of a sphere is proportional to the cube of its radius.

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