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''The Sea Island Mathematical Manual'' or ''Haidao suanjing'' (海岛算经) was written by the Chinese mathematician Liu Hui of the Three Kingdoms era (220–280) as an extension of chapter 9 of ''The Nine Chapters on the Mathematical Art''.〔 L. van. Hee, ''Le Classique d I'Ile Maritime: Ouvrage Chinois de III'' siecle 1932〕 During the Tang Dynasty, this appendix was taken out from ''The Nine Chapters on the Mathematical Art'' as a separate book, titled ''Haidao suanjing'' (''Sea Island Mathematical Manual''), named after problem No 1 "Looking at a sea island." In the time of the early Tang dynasty, ''The Sea Island Mathematical Manual'' was selected into one of The Ten Computational Canons as the official mathematical texts for imperial examinations in mathematics. ==Content== This book contained many practical problems of surveying using geometry. This work provided detailed instructions on how to measure distances and heights with tall surveyor's poles and horizontal bars fixed at right angles to them. The unit of measurement was 1 li = 180 zhang= 1800chi, 1 zhang = 10 chi, 1 chi = 10 cun, 1 step(bu) = 6 chi. Calculation was carried out with place value decimal Rod calculus. Liu Hui used his rectangle in right angle triangle theorem as the mathematical basis for survey. With his "In-out-complement" principle, he proved that the area of two inscribed rectangles in the two complementary right angle triangles have equal area, thus CE * AF = FB * BC 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「The Sea Island Mathematical Manual」の詳細全文を読む スポンサード リンク
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