11. Start with the Newtonian particle of mass constrained to a spherical surface of radius within a uniform gravitational field. 12. By enforcing the boundary condition on the spherical surface , the expansion coefficients of the scattered field can be computed. 13. When the paraxial approximation is valid, the optical surface can be treated as a spherical surface with the same radius. 14. :: Why is it " false " that the dispute is about " the dimensionality of a spherical surface "? 15. Could you please give me an expression that gives the angle subtended by points placed symmetrically on a spherical surface . 16. Zero-offset data is important to a geophysicist because the migration operation is much simpler, and can be represented by spherical surfaces . 17. :: But Feynman does not connect the solution y = f ( x ) with the approximation of the spherical surface . 18. So the floors are not parallel planes but concentric spherical surfaces , say 20 feet apart ( hey, it's a monumental building ). 19. Light hitting a real, instead of ideal, spherical surface has aberrations .-- talk ) 06 : 22, 8 December 2013 ( UTC) 20. Self-portraits in reflective spherical surfaces can be found in Escher's early ink drawings and in his prints as late as the 1950s.