By way of studying the machining route of spherical protruding curved surface part and milling the course,the numerical control machining program applied spherical protruding curved surface that has commonality and applicability and simpleness have been gone out by using the macro programming.

It can manufacture different specification according to the measurement range,when hand-operating and continuous-measuring similar to the common micrometer,read directly the sphere curvature radius when measurement spherical lens.

Introduce the calculating methods of rigid plastic laminates’ carrying capacity,which apply internal access or excircle polygons to replace the intrinsic nonlinear superconvexity.

The equations of cam curved surface of the mechanism and result in geometry formula of pressure angle are obtained,and the forming principle of spatial cam curved surface is stated.

Ray path tracing on convex surface is an important step to solve the creeping wave scattering.

The paper introduces a dynamic programming method and gives the algorithm model for ray tracing on any convex surfaces.

By the method of integral geometry and the property of rotation surface,we construct a compact nonconvex surface with positive mean curvature H in the Euclidean space R3.