一种旋转抛物面的特征研究

On the Characteristics of a Rotating Paraboloid

通过对抛物线绕其对称轴旋转所生成的旋转抛物面的方程的研究,认为这种曲面的坐标网为正交网,且为曲率线网,并且它上面的点的高斯曲率都大零,因而都是椭圆点.该曲面上无渐近线.

We have made a study of the equation of rotating parabolic generated by rotating pa-raboloid around its symmetry axis. We believe that this surface coordinate nets are perpendicular to each other and is mesh of curvature curves. The points above it have Gaussian curvature which is greater than zero, and thus are all elliptic points. No asymptote is found on the surface.