Elements of the Theory of the Newtonian Potential Function |
Contents
1 | |
3 | |
8 | |
15 | |
21 | |
25 | |
35 | |
43 | |
72 | |
76 | |
80 | |
87 | |
95 | |
103 | |
114 | |
117 | |
53 | |
54 | |
55 | |
56 | |
57 | |
58 | |
59 | |
62 | |
118 | |
119 | |
122 | |
124 | |
125 | |
130 | |
134 | |
Other editions - View all
Common terms and phrases
angle approximately attracting mass attracting matter attraction due axis centre charge closed surface component conductor conical surface constant coördinate axes cylinder D₂V direction distance distribution of matter divide drawn dx dy dz electricity elements empty space equal equipotential surfaces exterior normal Gauss's Theorem Green's Theorem homœoid inner surface inside integral of normal integral signs Laplace's Equation line of action line of force M₁ negative NEWTONIAN POTENTIAL P₁ parallel particle pdx'dy'dz perpendicular plane Poisson's Equation positive potential function due prisms prove quantity of matter radii region repelling matter resultant attraction resultant force Section smaller and smaller solid angle space coördinates sphere of radius spherical shell spherical surface surface density surface integral tion tricity triple integral tube of force unit mass V₁ V₂ vertex whence whole zero Απ
Popular passages
Page v - An Essay on the application of Mathematical Analysis to the Theories of Electricity and Magnetism...
Page 1 - Every particle in the universe attracts every other particle with a force that is directly proportional to the product of the masses of the two particles and inversely proportional to the square of the distance between them.
Page 1 - Every body in the universe attracts every other body with a force which is directly proportional to the product of their masses and inversely proportional to the. square of the distance between them.
Page 28 - Show that the attraction at the focus of a segment of a paraboloid of revolution bounded by a plane perpendicular to the axis at a distance b from the vertex is of the form 4irpa log (1 + b/a~).