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Antiphon was also a capable mathematician. Antiphon, alongside his companion Bryson of Heraclea , was the first to give an upper and lower bound for the value of pi by inscribing and then circumscribing a polygon around a circle and finally proceeding to calculate the polygons' areas.
Bryson, along with his contemporary, Antiphon, was the first to inscribe a polygon inside a circle, find the polygon's area, double the number of sides of the polygon, and repeat the process, resulting in a lower bound approximation of the area of a circle. "Sooner or later (they figured), ...[there would be] so many sides that the polygon ...
Antiphon was a statesman who took up rhetoric as a profession. He was active in political affairs in Athens, and, as a zealous supporter of the oligarchical party, was largely responsible for the establishment of the Four Hundred in 411 (see Theramenes); upon restoration of the democracy shortly afterwards, he was accused of treason and condemned to death. [1]
The idea originated in the late 5th century BC with Antiphon, although it is not entirely clear how well he understood it. [1] 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 in China by Liu Hui in the 3rd century AD in order to find the area of a circle. [2]
– Antiphon: c. 470 BC – 410 BC – Hippocrates: 465 BC – 398 BC – Theodorus: ... Timeline of mathematical logic; Timeline of mathematics; References
Constantin Carathéodory (1873–1950) - Mathematician who pioneered the Axiomatic Formulation of Thermodynamics. [14] Demetrios Christodoulou (born 1951) - Mathematician-physicist who has contributed in the field of general relativity. [15] Constantine Dafermos (born 1941) - Usually notable for hyperbolic conservation laws and control theory. [16]
Pages in category "Ancient Greek mathematicians" The following 70 pages are in this category, out of 70 total. ... Antiphon (orator) Archytas; Aristaeus the Elder;
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