This paper is an extension to higher powers of the process which I applied to the elimination of θ from the equations of the Ellipse-Glissette (Proc. Roy. Soc. Edin., xix. p. 89). It depends on the principle that where the highest power or powers of one of the variables are awanting, derived equations can always be formed by eliminating a power of each of the other variables between the two primitives.