Succinctly — The surfaces of spheres are as the squares of their radii.

Limited sphere" — A sphere is necessarily limited. I prefer tautology to a chance of misconception.

Laplace assumed his nebulosity heterogeneous, merely that he might be thus enabled to account for the breaking up of the rings; for had the nebulosity been homogeneous, they would not have broken. I reach the same result — heterogeneity of the secondary masses immediately resulting from the atoms — purely from an a priori consideration of their general design — Relation.