由三个已知点画椭圆问题的研究及其应用

Study and application of drawing ellipse by using three given points

利用仿射变换的原理,求出了由三个已知点确定的椭圆方程式,进而求出了该椭圆的主半径,达到了用AutoCAD命令画出椭圆的目的。该方法可用于圆的轴测图的绘制以及过已知点设计椭圆形运动轨道等问题。

In this paper, a elliptical equation which is confirmed by three given points is derived on the principle of affine trans- formation. Get into it the major radiuses of the ellipse are obtained. Then a ellipse is drawn by using AutoCAD command. This method may be used to draw axonometric drawing of the circle and to design elliptical rails through given points and so on.