This article according to the characteristics of the normal vector plane method is proposed to motion principle, sunlight vertical cliff movement equation, designed a solar energy automatic tracking model, principle of the system to conduct a comprehensive analysis, gives the related transformation equation, the system motion control equation is established.

According to the equal principle, to establish the relationship between function and curved trapezoid area, designed the fluid differential measurement model, analysis of main parameters, introduced working principle, combining with the different forms of curve, depicting the derived function curve measurement method is given.

Established a unified equation of conical surface cutting line, analyzed the main cutting line critical characteristics, studies the section curve of plane problems, discussion plane curve property, continuous planar interception solution of two types of components are presented.

This paper uses cone cutting line method and plane curve generation method to study the cone section and plane expansion method, establish the transformation of different form curve. This paper analyzes bounded cone section characteristics and components of graphic design methods, combined with specific models, gives cone component integration design and production methods.

By tangent and normal use of the circle scroll coordinate system is defined. Through regular, long pieces, short pieces of involute (evolute) process analysis, a range of involute (evolute) transformation model is established to achieve the high degree unity of a rectangular coordinate curves and polar coordinates (rotation) curve. For the practical application of engineering technology, the paper presented a method of continuous circular gear tooth profile curve, non-circular section of the conjugate gear involute curve rate curve for the rectangular coordinate, providing an effective way for the research of the rotation curve and the design of gear transmission.