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Liu Hui
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Mathematical work
Along with Zu Chongzhi (429â€“500), Liu Hui was known as one of the greatest mathematicians of ancient China.Needham, Volume 3, 85-86 Liu Hui expressed all of his mathematical results in the form of decimal fractions (using metrological units), yet the later Yang Hui (c. 1238-1298 AD) expressed his mathematical results in full decimal expressions.Needham, Volume 3, 46.Needham, Volume 3, 85.Liu provided commentary on a mathematical proof of a theorem identical to the Pythagorean theorem.Needham, Volume 3, 22. Liu called the figure of the drawn diagram for the theorem the "diagram giving the relations between the hypotenuse and the sum and difference of the other two sides whereby one can find the unknown from the known".Needham, Volume 3, 95-96.In the field of plane areas and solid figures, Liu Hui was one of the greatest contributors to empirical solid geometry. For example, he found that a wedge with rectangular base and both sides sloping could be broken down into a pyramid and a tetrahedral wedge.Needham, Volume 3, 98-99. He also found that a wedge with trapezoid base and both sides sloping could be made to give two tetrahedral wedges separated by a pyramid. In his commentaries on the Nine Chapters, he presented:- An algorithm for calculation of pi ({{pi}}) in the comments to chapter 1.Needham, Volume 3, 66. He calculated pi to 3.141024
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