| 平面三次代数曲线射影构成,分类及作图 |
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| 引用本文： | 龚邦勋,吕秋灵.平面三次代数曲线射影构成,分类及作图[J].河海大学学报(自然科学版),1995,23(3):93-100. |
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| 作者姓名： | 龚邦勋 吕秋灵 |
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| 作者单位： | Dept.of Navigation and Ocean Engineering，Hohai Univ. |
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| 摘 要： | 讨论了在射影平面场上，平面三次代数曲线的射影构成，射影分类，归纳出平面三次代数曲线在射影平面场上的五个基本形状以及有关的几何作图方法，使平面三次代数曲线几何化，因而比较直观，简明，可应用于计算机图形学和工程实际。
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| 关 键 词： | 三次曲线 射影 线场 线束 曲线束 |
Projective Construction,Classification and Drawing of Plane Cubic Curves |
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| Gong Bangxun,Lu Qiuling.Projective Construction,Classification and Drawing of Plane Cubic Curves[J].Journal of Hohai University (Natural Sciences ),1995,23(3):93-100. |
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| Authors: | Gong Bangxun Lu Qiuling |
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| Abstract: | he project ive construction of plane cubie curves and the projective geometric classifcation are studied. The five basic shapes of plane cubic curves in the projective plane field and corresponding drawing methods are given. |
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| Keywords: | cubic curve projection field of lines pencil of lines pencil of curves |
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