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锥、球相贯线上极值点的研讨

Discussion of the Extreme Point on the Intersecting Line of the Cone and Globe
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摘要 用图解法研究了画法几何中具有公共对称面(对称面平行于V面)的锥、球相贯线上最左点的求法,通过建立空间直角坐标系,得到两曲面的方程,用解析法研究了锥、球相贯线在与公共对称面平行的投影面上的投影形状,以及相贯线上最左点的求解方法。并用解析法对图解法求最左点进行了证明。 This paper studies the solution method of the liftcst point on the intersecting line globe and cone which have the common symmetric plane paralleling with projecting plane V in descriptive geometry by use of the graphic method, the liftcst point xmin is obtained by making use of this method. The equations [1]. of two curved surface arc obtained by setting space Cartesian coordinate system, moreover the projecting shape of intersecting line of the cone and globe on projecting plane which is parallel to the common symmetric plane and the solution method of the liftest point on the intersecting line is studied by the analytic method, and the liftcst point xmin can be gotten by this method. So the graphic method of the liftest point can be proved by use of the analytic method. This method can draw accurately and quickly the cngineering draft and provides the equations of curved surface. It provides the theoretical basis for computer drawing.
作者 刘丽元
出处 《西北建筑工程学院学报(自然科学版)》 1992年第4期64-68,共5页 Journal of Northwestern Institute of Architectural Engineering
关键词 圆锥 相贯线 圆环 画法几何 cone, globe, intersecting line, the liftcst point, graphic method, analytic method
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