According to the typical example,the hyperboloid of one sheet unpaired formula has been established by using infinitesimal calculus which application also has been described in mechanical designing and manufactur

This thesis has railed and proved the characteristics of locus mutual change about spherical surface and hyperboloid of the one sheet of revolution

The property of the uniparted hyperboloid of the section line was proved for the graphical method;

The article has described the simplicity machining method of the tilted edge fingerlike gear cutter with uniparted hyperboloid matching tooth shape and the straight generatrix of the uniparted hyperboloid as the blade curve.

This article not only discusses the ruled surface features of uniparted hyperboloid and its application in archtecture engineering but also discusses the teaching of the ruled surface.

It is proved that the surface organized by all the straight lines which are coplanar with three u-family rectilinear generators of an uniparted hyperboloid,which are not coincident with each other,is exactly the primal uniparted hyperboloid.