# Elements of Theoretical Physics

Macmillan, 1897 - Mathematical physics - 339 pages

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Page 42 - ... only when friction is negligible and when the fluid motion is irrotational. But the air motion in Fig. 135 is due to friction between the air and the spinning ball, and there is only one particular case in which the air whirl in Fig. 135 is irrotational, namely, when the velocity of the air at a point is inversely proportional to the distance of the point from the axis of the spinning ball. Therefore the application of Bernoulli's principle to the air motion in Fig. 136 is very questionable.
Page 83 - Differentiating the first of these equations with respect to x, the second with respect to y, and the third with respect to z...
Page 232 - REFLEXION. (1) The incident ray, the normal to the surface at the point of incidence, and the reflected ray lie in one plane. (2) The angle between the reflected ray and the normal is equal to that between the incident ray and the normal.
Page 31 - These are received according to the square of the distance of the planet from the sun ; that is, they decrease as the square of the distance increases.
Page 154 - The evaluation of this for a thin wire is discussed below. In confirmation of equation (12), Dingle (unpublished) has found by direct integration of the Boltzmann equation for this case...
Page 234 - Hence Fresnel's assumption that the density of the ether is different in different media is inconsistent with the continuity of the ether at right angles to the surface. Adopting the above equations, Neumann and MacCullagh postulate that the density of the ether is the same in all media, but that its elasticity is different.
Page 29 - The squares of the periodic times of the planets are proportional to the cubes of the semimajor axes of their orbits. The first law states a particular case of the result established in Sec.
Page 195 - F is the magnitude of the force, ds is the magnitude of the displacement, and 6 is the angle between the direction of the force and the direction of the displacement.
Page 296 - Hence the entropy of the system is equal to the sum of the entropies of its two sub-systems.
Page 245 - If the angle of incidence is greater than the critical angle, the sine of the angle of refraction, as computed by Snell's law, is greater than unity.