| 割圆术与穷竭法 |
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| 引用本文： | 宋述刚,潘清芳.割圆术与穷竭法[J].长江大学学报(社会科学版),2002(5). |
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| 作者姓名： | 宋述刚 潘清芳 |
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| 作者单位： | 荆州师范学院数学系 434020
(宋述刚)，荆州师范学院数学系 434020(潘清芳) |
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| 摘 要： | 阐述了中国古代“割圆术”与古希腊“穷竭法”的联系与差异 .“割圆术”包含近代极限思想 ,其过程是一个无限过程 ,可以创造崭新结果 ;而“穷竭法”适用范围更广 ,是一个有限过程 ,结合归谬法可以推论预期的结果
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| 关 键 词： | 割圆术 穷竭法 归谬法 极限 |
THE METHOD OF CUTTING CIRCLE AND INFINITE APPROACH |
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| Song Shugang,Pan Qingfang.THE METHOD OF CUTTING CIRCLE AND INFINITE APPROACH[J].Journal of Yangtze University:Social Sciences,2002(5). |
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| Authors: | Song Shugang Pan Qingfang |
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| Abstract: | The similarity and difference between the method of cutting circle and infinite approach are discussed.The method of cutting circle including limit thought is a infinte procedure,it can introduce new results.But the method of infinite approach is used more widely,it is a uninfinite procedure,and it only can achieve the desired results with reduction to absurdity. |
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| Keywords: | the method of cutting circle the method of infinite approach reduction to absurdity limit |
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