Ceyuan haijing Chinese mathematics

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li ye s inscribed circle in triangle:diagram of round town



yang hui s magic circle


ceyuan haijing (pinyin: cèyuán hǎijìng) (chinese characters:測圓海鏡), or sea-mirror of circle measurements, collection of 692 formula , 170 problems related inscribed circle in triangle, written li zhi (or li ye) (1192–1272 ad). used tian yuan shu convert intricated geometry problems pure algebra problems. used fan fa, or horner s method, solve equations of degree high six, although did not describe method of solving equations. li chih (or li yeh, 1192–1279), mathematician of peking offered government post khublai khan in 1206, politely found excuse decline it. ts e-yuan hai-ching (sea-mirror of circle measurements) includes 170 problems dealing with[...]some of problems leading polynomial equations of sixth degree. although did not describe method of solution of equations, appears not different used chu shih-chieh , horner. others used horner method ch in chiu-shao (ca. 1202 – ca.1261) , yang hui (fl. ca. 1261–1275).








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