Eudoxus of Cnidus information

Aratus and Eudoxus. Spherics by Theodosius of Bithynia may be based on a work by Eudoxus. Eudoxus, son of Aeschines, was born and died in Cnidus (also transliterated...

certain, indeterminate, depth. Eudoxus of Cnidus, in around 380 BCE, devised a geometric-mathematical model for the movements of the planets based on (conceptual)...

Eudoxus may refer to: Eudoxus of Cnidus (c. 395–390 BC – c. 342–337 BC), Greek astronomer and mathematician, student of Plato Eudoxus of Cyzicus (fl. c...

combination with a synthesis of theories from earlier Greek mathematicians, including Eudoxus of Cnidus, Hippocrates of Chios, Thales and Theaetetus....

sphere as the frame of reference for their geometric theories of the motions of the heavenly bodies". With his adoption of Eudoxus of Cnidus' theory, Aristotle...

Because Archimedes credited it to Eudoxus of Cnidus it is also known as the "Theorem of Eudoxus" or the Eudoxus axiom. Archimedes used infinitesimals...

Latin: Phaenomena), the first half of which is a verse setting of a lost work of the same name by Eudoxus of Cnidus. It describes the constellations and...

mathematical astronomers until the time of Copernicus. Eudoxus of Cnidus was the first astronomer to develop the concept of concentric spheres. He was originally...

to the integral calculus. Eudoxus of Cnidus developed a theory of proportion that bears resemblance to the modern theory of real numbers using the Dedekind...

discovery of a theory of ratios that does not assume commensurability is probably due to Eudoxus of Cnidus. The exposition of the theory of proportions...

Greek astronomer and mathematician Eudoxus of Cnidus (c. 408 BC – c.347 BC) in relation to the classical problem of doubling the cube. The Kampyle is symmetric...

earth, at the center of the universe. Plato and Eudoxus of Cnidus were both active in astronomical thought in the first half of the fourth century BC...

refer to this construction as the Eudoxus reals, named after an ancient Greek astronomer and mathematician Eudoxus of Cnidus. Let an almost homomorphism be...

model of Eudoxus of Cnidus, to provide a general explanation of the apparent wandering of the classical planets arising from uniform circular motions of celestial...

understood it. The theory was made rigorous a few decades later by Eudoxus of Cnidus, who used it to calculate areas and volumes. It was later reinvented...

if their ratio is a rational number. Eudoxus of Cnidus (c. 390−340 BC) provided a definition of the equality of two irrational proportions in a way that...

of Plato. Eudoxus of Cnidus (c. 408 – 355 BC). Pupil of Plato. Diogenes of Sinope (c. 404 – 323 BC). Cynic. Xenocrates (c. 396 – 314 BC). Disciple of...

observatory Eudoxus of Cnidus worked at. Warraq Island is an island of area 756 hectares (1,870 acres), located in the Giza Governorate. About 3% of the area...

and volume of a sphere, only a theorem that the volume of a sphere varies as the third power of its diameter, probably due to Eudoxus of Cnidus. The volume...

book On Isis and Osiris. Thus, Thales of Miletus, Eudoxus of Cnidus, Solon, Pythagoras, (some say Lycurgus of Sparta also) and Plato, traveled into Egypt...

mathematician. 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...

anticipated that of Dedekind cuts in the modern definition of real numbers by Richard Dedekind (1831–1916); see Eudoxus of Cnidus § Eudoxus' proportions....

one-third the volume of a cylinder or prism respectively, a result which Archimedes states was later proved by Eudoxus of Cnidus. Plutarch also reports...

However, the area of a disk was studied by the Ancient Greeks. Eudoxus of Cnidus in the fifth century B.C. had found that the area of a disk is proportional...

for legs. The earliest mention of the constellation is in Aratus, informed by the lost catalogue of Eudoxus of Cnidus (4th century BCE): To the Phantom's...

many axiom systems of mathematical interest will have undecidable statements. While early mathematicians such as Eudoxus of Cnidus did not use proofs...