The Nine Chapters on the Mathematical Art: Companion and CommentaryThis text contains a translation of the Nine Chapters. The Nine Chapters contains math problems and solutions, which fall into nine categories based on practical needs. |
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a₁ Algorithm altitude ancient Answer arithmetic base bie'nao borrowed rod breadth bundles of top c₁ century China Chinese mathematics circle circumference cone cost counting rods cube root cubic denominator diagram diameter difference digit distance divide dividend divisor Dynasty equations Euclid's Elements Extract the square formula fractions frustum given number given rate giving the number gnomon Han Dynasty height homogenize Hui's hulled millet hypotenuse inscribed integer length liang Liu Hui Liu's low grade paddy mathematicians means Method millet is required Nine Chapters number of coins obtain pole Problem Proposition pyramid Pythagorean triples qiandu Qilu Rule Qing Dynasty rectangle remainder right triangular prism right-angled triangle Rule of Three Seki Takakazu sheng side silk solving sought rate soya beans sphere square root subtract Take Tell triangular prism volume width Yang Hui yangma zhang Zhoubi Zu Chongzhi