| 中国古代几何的基础 |
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| 引用本文： | 朱恩宽. 中国古代几何的基础[J]. 陕西师范大学学报(自然科学版), 1995, 0(1) |
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| 作者姓名： | 朱恩宽 |
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| 作者单位： | 陕西师范大学数学系 |
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| 摘 要： | 提出了我国古代论证几何所依据的原始命题（即几何的公理），指出“存在正方形”连同“出入相补原理”、“极限原理”、“刘－祖截面原理”以及长方形面积公式和长方体体积公式确定了我国古代几何的性质，奠定了我国古代几何的基础．并把以上内容与《欧几里得几何原本》的相应部分作了比较
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| 关 键 词： | 古典数学；正方形；出入相补原理；极限原理；刘－祖截面原理 |
Foundation of geometry in ancient China |
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| Zhu Enkuan. Foundation of geometry in ancient China[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 1995, 0(1) |
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| Authors: | Zhu Enkuan |
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| Abstract: | This article puts forward the primitive propositions(i.e.geometry axioms)bywhich to prove .geometry existed in ancient China. This article also points out that"existence of squares","Out-In Complementary Principle","the principle of limit", "Liu-Zu cross -section princeple", "the area formula for rectangle and the volume formula for cuboid" determine the nature and lay the foundation of geometry in ancient China. The above theories are compared with those corresponding parts in the book-The Thirteen Books of Euclid's Elements. |
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| Keywords: | classical mathematics square out-in complementary principle limit principle Liu-Zu cross-section principle |
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