A GENERAL METHOD TO DERIVE IMPLICIT EQUATIONS OF CURVES AND SURFACES USING INTERLINEATION AND INTERFLATION OF FUNCTIONS

摘要

A general method is proposed to derive equations of irregular curves O_D (x, y) = 0 and of irregular surfaces O_G (x, y, z) = 0 in implicit form, where the functions O_D (x, y) and O_G (x, y, z) belong to a prescribed differentiability class. The method essentially involves interlineation and interflation of functions. An example is considered.