Classes of cones and a simple method for recognizing these classes

Abstract

If, taking the vertex of the cone as the center of the sphere, we intersect it with the surface of this sphere, then the cone is replaced by a spherical conoprima, which is why the the stated problem is reduced to recognizing the classes of conoprima on the sphere. An analogous problem of determining the classes of planar conoprimes—is solved by determining the type of involution of the points of the conoprima on the straight line at infinity or the involution of rays at its center. The article derives new classes of conoprimas and a method for recognizing them.

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