圆锥截交线的形状及投影分析

On the Form and Projection Analysis of Conic Cut and Hand in Line

圆锥面是工程上常遇到的曲面,其截交线在工程上非常广泛。利用射影几何和解析几何的原理对圆锥截交线进行了完整的分析,对特殊位置截平面与一般位置截平面产生的截交线的形状进行了几何证明,为截交线的形状判别与绘制提供了理论依据。

Round conical surface is the curved surfaced that is always met in some project and its cut and hand in line is very extensive. Using the principle of Projective geometry and Analytic geometry, we have intact analysed about the cut and hand in line of taper and Geometry proved the form produced by the special-position-leve and the general-position-level. And this provided theoretical foundation for the judgement of the form and the drawing of the cut and hand in line.