椭圆切线面的展开 - 天津大学期刊中心.PDF

1998 7 　　　　　 31　 4 　　　　　　 　　　　　　　 J l. 1998 JOURNAL OF TIANJIN UNIVERSITY 　Vol. 31　No. 4　 谢有才 　杜玉明　陈东祥 () 　　本文对两端处于平行平面上的椭圆的切线面进行了解析分析,提出了其展开方法,利用 此方法 由计算机绘出展开图.该方法对于各种圆锥面、椭圆锥面及 一端为直线段另一端为椭圆 (或圆)的曲面展开,都能适用. 　, , 　 TH126. 2 THE DEVELOPMENT OF A TANGENTIAL SURFACE ABOUT ELLIPSES Xie Youca　i Du Yuming　Chen Diong iang ( School of Mechanical Engineering, Tianjin University) Abstract　 In this paper an analysis of a tangential s rface w hose tw o ends are ellipses on th e par- allel plane is described. The developing method of the tangential s rface is offered. By this m ethod, the drawings of the development may be draw n w ith a comp ter This method also fits for conical. , s rface elliptical conical s rface and s rface which one of the ends is a line segment and the other is a ellipse (or circle) . Keywords　tangential s rface, ellipse, development 　　,, .,. (), . 1　 1. 1　 　　 1()o1 o , 1996 9 3. 1996 11 19. 　* 　 1946,,. 1946, , . Born in male associate prof ·496· 　　　　　　　　　　　　　　　　　　　　 1998 7 o M0 A B ,o1 CD A B , N 0 , M0N 0 . 1 1 , 2 2 , M N M N ……. M0N 0 M 1N 1 , M0N 0N 1M 1 ,. ,, .. 　　 1、 o o , Ⅰ 1Ⅰ 2 ,Ⅱ 1Ⅱ2 ,…, Ⅰ 1Ⅰ2Ⅱ2Ⅱ 1,Ⅱ1Ⅱ2Ⅲ2Ⅲ 1 ,…. , . . . 1. 2　 　　 1, a ,b , c , d ; ( 0≤