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=PHASE ONE = ~ Yang Hui ~ We know very little about Yang Hui. What we do know is he wrote several outstanding mathematical texts. He was born in the year of 1238 in the 13th century. He was inspired by the Chinese mathematics during the Southern song dynasty. Witch contained solutions of quadratic equation as well as pascal's triangle and magic squares. He says that he was taught mathematics by Liu I who was a native of Chung-shan, in Kwangtung province. And Qin Jiushao witch they know not much about. We only know about Yang because of the stuff that was found when he died in 1248. And he was a contemporary of both Qin jiushao and Li Zhi, which we know from the dates on which his texts appeared.owever, both Qin and Li's major works appeared about fifteen years before the first work of Yang http://www.ask.com/bar?q=yang+hui&page=1&qsrc=0&ab=1&u=http%3A%2F%2Fwww.gap-system.org%2F~history%2FBiographies%2FYang_Hui.html

~ Babylonians ~ Babylonian mathematical texts are plentiful and well edited. In respect of time they fall in two distinct groups one from the old babylonian period 1830-1531 BC, the other mainly Seleucid from the last three or four centuries B.C. In respect of content there is scarcely any difference between the two groups of texts. Thus Babylonian mathematics remained constant, in character and content, for nearly two millennia. The Babylonian system of mathematics was sexagesimal, or a base 60 numeral systemsee Babylonian numerals. From this we derive the modern day usage of 60 seconds in a minute, 60 minutes in an hour, and 360 60 x 6 degrees in a circle. The Babylonians were able to make great advances in mathematics for two reasons. First, the number 60 has many divesors 2, 3, 4, 5, 6, 10, 12, 15, 20, and 30), making calculations easier. Additionally, unlike the Egyptians and Romans, the Babylonians had a true place-value system, where digits written in the left column represented larger values much as in our base-ten system: 734 = 7×100 + 3×10 + 4×1. Among the Babylonians' mathematical accomplishments were the determination of the spuare roor of correctly to seven places (YBC 7289 clay tablet). They also demonstrated knowledge of the Pythagorean theorem well before Pythagoras, as evidenced by this tablet translated by Dennis Ramsey and dating to ca. 1900 BC:

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