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Line 97: == Quick method == Calculation of square roots of irrational numbers was not an easy task in the third century with [[counting rods]]. Liu Hui discovered a ~~short cut~~shortcut by comparing the area differentials of polygons, and found that the proportion of the difference in area of successive order polygons was approximately 1/4.<ref>Yoshio Mikami: Ph.D. Dissertation 1932</ref> Let {{math\|D}}<sub>{{math\|N}}</sub> denote the difference in areas of {{math\|N}}-gon and ({{math\|N}}/2)-gon

Liu Hui's π algorithm: Difference between revisions