An introduction to the mathematical theory of attraction ...

Index. 287
Lagrange, on potential, 65. Magnetic axis, 15.
Lamé, on distributions of electricity curves, 19, 64.
on quadric surfaces, 149. forces, law of, 3, 14, 104.
Lamina, attraction of, 19. moment, 15.
potential of, 70. particle mathematically same as
circular, attraction of, 11. doublet, 204.
circular, distribution of clectricity particle, potential of, 98.
on, 62, 258. shell, potential of, 98.
circular, potential of, 70. Magnets, theory of, 14.
elliptic, attraction of, 19. small, action of on each other,
elliptic, distribution of electricity 100-105.
on, 62. small, energy due to mutual
polygonal, attraction of, 73. action of, 99.
polygonal, potential of, 71. Many-sheeted equipotential surface,
Laplace, on figure of equilibrium of 121.
rotating liquid mass, 34, 36. Mass, change of energy due to alteraon force function, 65. tion of, 90.
on moment round centre of inertia meaning of, in theory of attracproduced by distant mass, 140. tion, 2, 140.
Laplace's equation in Cartesian co- in substance of conductorinequiordinates, 82. librium, 50.
equation in cylindrical coordi- totalin equivalentdistributions,57.
nates, 86. total, in interior of conductor, 132.
equation in elliptic coordinates, total, on portion of conductor on
174. which the distribution is equiequation in parabolic coordinates, valent to a system of electrified
186. points, 210.
equation in polar coordinates, 85. uniplanar, 8, 56, 218.
theorem for ellipsoid of small Maximum, potential when a, 118.
ellipticity, 141. attraction, solid of revolution
Law of force, for electric mass, 1, 87, having, 40.
94. Maxwell, Clerk, on anisotropic media,
for gravitating matter, 1. 50.
for magnetic mass, 2, 14, 104. on conductors bounded by surfaces
for uniplanar mass, 8. of second degree, 149.
Line density, 5. on graphic representation of lines
density, uniplanar, 56. of force, 54.
Lines of equilibrium, 120. on inversion and systems of
equipotential, 122. images, 234.
of force, 43, 53. on Laplace's operator, 83.
Liquid, figure of equilibrium of rotat- on line density, 5.
ing, 34. on tubes of induction, 51.
Mean value of potential on surface of
sphere, 106.
Mac Claurin's theorem, 130, 150. value of potential within a sphere,
Mac Cullagh, on attraction of ellipsoid, 117.
38, 39. value of uniplanar potential on a
on Clairaut's theorem, 142. circle, 107.
on ellipsoid of small ellipticity, valueofuniplanar potential within
141. a circle, 117.
on potential of mass system at Minimum, potential when a, 118.
distant point, 140. energy, distribution of mass proMagnet pole, 14. ducing, 137.