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History of mathematics and mathematics education (HPM) --- Liu Hui, a case of Liu Hui's Most mentioned the concept of limit, but above, Liu Hui did not

 
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قديم 11-08-2011, 03:50 PM
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<div>History of mathematics and mathematics education (HPM) --- Liu Hui, a case of

[Abstract] Liu Hui's Most mentioned the concept of limit, but above, Liu Hui did not reflect the intent. Liu Hui's understand and deal with infinite problems, and limit the use of series of problems. [Keywords] Liu Hui; cut round operation; infinite; integrable ; 1] in the teaching sequence before the concept of limit, describes the ancient mathematician Liu Hui in the limit of thought cut round operation, and thus limit the introduction sequence defined in the description of fact, Liu Hui,franklinandmarshalluk.com:franklinandmarshallu k.com]franklin marshall, by method, with its superb understanding of the issues and the infinite Zhiyong approach to Also to be noted that he used to prove the formula area of ​​circle design of mechanical algorithm, obtained an approximation of pi --- emblem rate (157 ÷ 50). Mr. Guo Shuchun that Liu Hui in the world's first split and the limits of the infinitely small idea for mathematical proof. [2] 1 Liu Hui's The first chapter, of another cut, so that can not be cut, the fit with the circumference and nothing to lose now,franklinandmarshalluk.com:franklinandmarshallu k.com]franklin and marshall! goblet surface, the track still more than to face by more than diameter, the power of the arc table. Ruofu goblet of fine person, and the circle fit,franklinandmarshalluk.com/moncler-outlet-vest-c-23.html:franklinandmarshalluk.com/moncler-outlet-vest-c-23.html]moncler outlet, the table demonstrated track Table demonstrated track, the power does go out to carry on. to one side by a radius, and the Conference of the goblet, each Noir from the times, so as to multiply the radius and half weeks for the round power. is infinitely small split thinking. 2.1 folder to force the series limit the use of cyclotomic norms Liu Hui technique proved area of ​​a circle formula, with a ; he received from the circle is 6 gon start cutting a round, set a round area of ​​S0, radius r, inscribed regular n-gon of side length l n, perimeter L ; n, an area of ​​S n, double the number of edges, got inscribed is 2 n-gon of side length, perimeter, area were recorded as: l2 n, L2 n ;, S2 n. Liu Hui use the n-gon of area: Liu Hui believes that


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