Extraction of Cubic Root
Jiuzhang suanshu vol iv "shaoguang" provided algorithm for extraction of cubic root.
〔一九〕今有積一百八十六萬八百六十七尺。問為立方幾何？答曰：一百二十三尺。
problem 19: We have a 1860867 cubic chi, what is the length of a side ? Answer:123 chi.
North Song dynasty mathematician Jia Xian invented a method similar to simplified form of Horner scheme for extraction of cubic root. The animation at right shows Jia Xian's algorithm for solving problem 19 in Jiuzhang suanshu vol 4.
Read more about this topic: Rod Calculus
Famous quotes containing the words extraction, cubic and/or root:
“Logic is the last scientific ingredient of Philosophy; its extraction leaves behind only a confusion of non-scientific, pseudo problems.”
—Rudolf Carnap (1891–1970)
“One of the great natural phenomena is the way in which a tube of toothpaste suddenly empties itself when it hears that you are planning a trip, so that when you come to pack it is just a twisted shell of its former self, with not even a cubic millimeter left to be squeezed out.”
—Robert Benchley (1889–1945)
“To those who despair of everything reason cannot provide a faith, but only passion, and in this case it must be the same passion that lay at the root of the despair, namely humiliation and hatred.”
—Albert Camus (1913–1960)