| 对李冶《测圆海镜》的新认识 |
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| 引用本文： | 莫绍揆.对李冶《测圆海镜》的新认识[J].自然科学史研究,1995,14(1):22-36. |
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| 作者姓名： | 莫绍揆 |
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| 作者单位： | 南京大学数学系 |
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| 摘 要： | 和现在通行的看法相反，《测圆海镜》不是一本讨论天元术的书，与天元术有关的部分只是应用天元术以解勾股形罢了。其核心是其中的《识别杂记》部分，这里有完善的定义，完善合适的公理，丰富多彩的定理，已经建立了一个完善的公理系统，为我国数学开辟了一条公理推演的新路。
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| 关 键 词： | 李冶 天元术 公理系统 解勾股形 容圆问题 |
NEW IDEAS ON LI YE'S CE YUAN HAI JING(SEA MIRROR OF CIRCLE MEASUREMENT) |
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| Mo Shaokui.NEW IDEAS ON LI YE''S CE YUAN HAI JING(SEA MIRROR OF CIRCLE MEASUREMENT)[J].Studies In The History of Natural Sciences,1995,14(1):22-36. |
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| Authors: | Mo Shaokui |
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| Abstract: | in contrast to the prevailing view Li, Ye's Ce Yuan Hai Jing is not a book ontianyuan mcthod,which is only a mcans to solvc right trianglcs.The corc of the book is the Scction Shi Bie Zu Ji(Miscellaneous Noles On Dislinclion),in which appear complete definitions, excellent axioms and a great deal of brilliant theorems Indeed Li Ye had constructed a perfect axiomatic system and opened a new and fruitful road fo Chinese mathematics. Besides,he had solved the following problem: to solve right triangles with two of their"generalized"sides given. |
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| Keywords: | Li Ye tianyuan method axiomatic system solution of right triangles pseudo-circumscribed circles |
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