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Approximations for the mathematical constant pi (π) in the history of mathematics reached an accuracy within 0.04% of the true value before the beginning of the Common Era. In Chinese mathematics, this was improved to approximations correct to what corresponds to about seven decimal digits by the 5th century.

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  • تقريبات إلى π (ar)
  • Approximations of π (en)
  • Approximation de π (fr)
  • Calcolo di pi greco (it)
  • Benadering van pi (nl)
  • Aproximações de π (pt)
  • 圆周率近似值 (zh)
rdfs:comment
  • البحث عن تقريبات إلى π (بالإنجليزية: Approximations of π)‏ جزء لا يتجزأ من تاريخ الرياضيات. (ar)
  • Dit artikel behandelt twee meetkundige benaderingen van . (nl)
  • Esistono diversi metodi per il calcolo di π (pi greco). (it)
  • 几个文明古国均在歷史早期就计算出了较精确的的近似值以便于處理生产的需要。公元5世纪时,中國劉宋数学家祖冲之用几何方法将圆周率计算到小数点后7位数字。大约同一时间,印度的数学家也将圆周率计算到小数点后5位。历史上首个的精确无穷级数公式(即π的莱布尼茨公式)直到约1000年后才由印度数学家发现。微積分的出現,很快地將的計算位數推至數百位,足以滿足任何科學工程的計算需求。在20和21世纪,由于计算机技术的快速发展,借助计算机的计算使得的精度急速提高。截至2021年8月,的十进制精度已高达6.28×1013位。当前人类计算的值的主要目的是为打破记录、测试超级计算机的计算能力和高精度乘法算法,因为几乎所有的科学研究对的精度要求都不会超过几百位。 (zh)
  • Approximations for the mathematical constant pi (π) in the history of mathematics reached an accuracy within 0.04% of the true value before the beginning of the Common Era. In Chinese mathematics, this was improved to approximations correct to what corresponds to about seven decimal digits by the 5th century. (en)
  • Dans l'histoire des mathématiques, les approximations de la constante π ont atteint une précision de 0,04 % de la valeur réelle avant le début de l'ère commune (Archimède). Au Ve siècle, des mathématiciens chinois les ont améliorées jusqu'à sept décimales. Le record de l'approximation manuelle de π est détenu par William Shanks, qui a calculé 527 décimales correctes vers 1873. Depuis le milieu du XXe siècle, l'approximation de π est effectuée sur ordinateurs par des logiciels spécifiques. (fr)
  • Aproximações da constante matemática pi (π) na história da matemática atingiram uma precisão de 0,04% antes do início da era moderna (Arquimedes). Na matemática chinesa a aproximação foi melhorada, correspondendo a aproximadamente sete dígitos decimais no século V. Progressos adicionais não foram registrados até o século XV (Ghiyath al-Kashi). Matemáticos do início da idade moderna obtiveram uma precisão de 35 dígitos no início do século XVII (Ludolph van Ceulen), e 126 dígitos no século XIX (Jurij Vega). (pt)
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  • http://commons.wikimedia.org/wiki/Special:FilePath/Pi_30K.gif
  • http://commons.wikimedia.org/wiki/Special:FilePath/Record_pi_approximations.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Kreuz-5.svg
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