毕的斯克斯关于sin 1°数值解研究  

Pitiscus’ Numerical Solution for sin 1°

作　　者：郭园园[1] 董杰[2] GUO Yuan-yuan;Dong Jie(Institute for the History of Natural Sciences,CAS,Beijing 100190,China;Institute for the History of Science,Inner Mongolia Normal University,Hohhot 010022,China)

机构地区：[1]中国科学院自然科学史研究所,北京100190 [2]内蒙古师范大学科学技术史研究院,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2019年第6期572-576,共5页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：中国科学院自然科学史研究所十三五重大突破项目(Y621011011);国家社会科学基金资助项目(17CZS052);霍英东基金会青年教师基金(151098)

摘　　要：自托勒密(Ptolemy,约90-168)时代开始,sin 1°精确值与弦表的整体精度相关,波斯数学家阿尔·卡西(Jamshīd Mas’ūd al-K shī,约1380-1429)在这一问题上首先取得突破性成就.该问题同样困扰着16世纪多位欧洲数学家,德国数学家毕的斯克斯(Bartholomaeus Pitiscus,1561-1613)最先有所建树.对毕的斯克斯求解sin 1°数值解法进行分析,并将其与卡西相关算法进行比较研究.Since the Ptolemy(about 90-168)era,the exact value of sin 1°had been related to the overall accuracy of the Sine table.It was the Persian mathematician Jamshīd Mas'ūd al-Kashī(1380-1429)who made the first breakthrough on this issue.For a long time,this problem also had puzzled many European mathematicians in the 16th century.It was the German mathematician Bartholomaeus Pitiscus(1561-1613)who made the first achievements in solution of the problem.This paper focused on the analysis of the sin 1°numerical solution of Pitiscus and gave comparison of the operation process of the numerical solution of the sin 1°between al-Kashi and Pitiscus.

关 键 词：阿尔·卡西 毕的斯克斯 弦表 数值解 

分 类 号：O11[理学—数学]