The relation between parameter curves and lines of curvature on canal surfaces

被引：0
|
作者：
Dogan, Fatih [1 ]
Yayli, Yusuf [2 ]
机构：
[1] Bartin Univ, Dept Math, Fac Sci, Bartin, Turkey
[2] Ankara Univ, Dept Math, Fac Sci, Ankara, Turkey
来源：
KUWAIT JOURNAL OF SCIENCE | 2017年 / 44卷 / 01期
关键词：
Canal surface; generalized tube; line of curvature; parameter curve; spine curve;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A canal surface is the envelope of a moving sphere with varying radius, defined by the trajectory C(t) (spine curve) of its center and a radius function r(t). In this paper, we investigate the parameter curves which are also lines of curvature on the canal surface. Last of all, for special spine curves we obtain the radius functions of canal surfaces.
引用
收藏
页码：29 / 35
页数：7
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