An Introduction to the Mathematical Theory of Attraction

a²b² angle attraction axes axis boundary circle closed surface coefficients components conductor confocal confocal ellipsoid constant coordinates cos² cosh curve denote distance distribution of mass dV dv dx dy e₁ electric mass electrified point ellipse equal equation equipotential curves equipotential surfaces expression external point external space find the potential finite force due function given Hence homœoid homogeneous ellipsoid hyperboloids images inside insulated integral intersection inverse system Laplace's Equation last Example line of force magnet obtain paraboloids perpendicular point Q potential due potential in external potential zero quadrics radius region resultant force semi-axes shell sin² sinh spherical suppose surface density surface distribution tangent plane theorem throughout total charge total mass uniplanar distribution uniplanar mass V₁ whence αλ αξ λ²