| 关于《微分几何》的几个问题 |
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| 引用本文： | 黄世同,王永节.关于《微分几何》的几个问题[J].昆明师范高等专科学校学报,2004,26(4):95-99. |
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| 作者姓名： | 黄世同 王永节 |
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| 作者单位： | [1]昆明师范高等专科学校数学系，云南昆明650031 [2]昆明师范高等专科学校数学系2001级，云南昆明650031 |
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| 摘 要： | 梅向明先生所编《微分几何》教材被越来越多的高校数学系所采用，但尚有美中不足之处．文中给出了有关渐缩线方程，相对曲率计算公式的更简便的推导；讨论了如何才能很快地做出切线，法面，密切平面，副法线和从切平面方程的方法；还对有的习题进行了推广．
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| 关 键 词： | 微分几何 渐缩线 相对曲率 高斯曲率 平面族的包络 |
| 文章编号： | 1008-7958(2004)04-0095-05 |
| 修稿时间： | 2004年6月16日 |
Some Problems about Infinitesimal Geometry |
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| HUANG Shi-tong ,WANG Yong-jie.Some Problems about Infinitesimal Geometry[J].Journal of Kunming Teachers College,2004,26(4):95-99. |
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| Authors: | HUANG Shi-tong WANG Yong-jie |
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| Institution: | HUANG Shi-tong 1,WANG Yong-jie 2 |
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| Abstract: | The textbook Infinitesimal Geometry compiled by Mr. Mei Xiangming is used by more and more mathematics departments of universities and colleges. But there are still room for improvement. In this article the authors first put forward a few simpler and easier methods for calculation the evolute equation, the formula of relative curvature; then, discuss the methods for calculating the equations of the tangent line, the normal plane, the osculating plane, the binormal, and the rectifying plane; and finally popularize some exercises. |
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| Keywords: | Infinitesimal Geometry evolute relative curvature Gaussian curvature envelope of plane clusters |
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