| 试论焦循对“总弧存弧法”的研究 |
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| 引用本文： | 王君,邓可卉.试论焦循对“总弧存弧法”的研究[J].内蒙古师范大学学报(自然科学版),2009,38(5):544-549. |
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| 作者姓名： | 王君 邓可卉 |
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| 作者单位： | 内蒙古财经学院统计与数学学院;内蒙古师范大学科学技术史研究院; |
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| 基金项目： | 国家自然科学基金资助项目(10863001) |
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| 摘 要： | 论述了梅文鼎、戴震和焦循对"总弧存弧法"的研究情况.焦循在梅文鼎、戴震的研究基础上,利用数形结合,将西算的演绎性与传统中算结合起来,形成了自己对西学的研究特点,并且巧妙地避免了梅、戴二人无法解决的三角函数的符号问题.
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| 关 键 词： | 总弧存弧 焦循 梅文鼎 戴震 |
Jiao Xun's Study of the Prosthaphaeresis Rules of Spherical Trigonometry |
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| WANG Jun,DENG Ke-hui.Jiao Xun's Study of the Prosthaphaeresis Rules of Spherical Trigonometry[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2009,38(5):544-549. |
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| Authors: | WANG Jun DENG Ke-hui |
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| Institution: | 1.College of Statistics and Mathematics;Inner Mongolia Finance and Economics College;Hohhot 010051;China;2.Institute for the History of Science and Technology;Inner Mongolia Normal University;Hohhot 010022;China |
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| Abstract: | This paper discussed the studies of Chinese mathematicians Mei Wending,Dai Zhen and Jiao Xun about the Prosthaphaeresis Rules of Spherical Trigonometry,so-called the method of sum-arc and difference-arc,especially Jiao Xun's research.Based on the foundational work of Mei Wending and Dai Zhen,Jiao Xun obtained his results by combining geometrical figure and algebraic method,and avoided the sign problem of Trigonometrical functions which Mei Wending and Dai Zhen unable to solve subtly. |
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| Keywords: | the prosthaphaeresis rules Jiao Xun Mei Wending Dai Zhen |
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