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目前,在所有“画法几何”教材中,对圆锥体和椭圆锥体投影的作法都是近似的。本文提出了一种新的准确作图方法。这种方法,是利用椭圆与圆的对应关系,通过变换将椭圆转换成圆,然后再依照圆来求出圆锥体和椭圆锥体的转向线、表面上的点和线的准确位置。文章对正圆锥、斜圆锥、正椭圆锥、斜椭圆锥,均处在一般位置时的投影、转向线、面上取点等分别提出了准确作图方法。
At present, the projection of cones and ellipsoids is similar in all “Geometry” textbooks. This paper presents a new method of accurate mapping. This method uses the correspondence between ellipses and circles, converts the ellipses into circles by transformation, and then finds the exact positions of the turning lines, the points and the lines on the surface of the cone and the elliptical cone according to the circle. In this paper, the accurate method of drawing is put forward for the projection of normal cone, oblique cone, normal elliptic cone, oblique elliptic cone, projection when all are in normal position, turning line,