586 



INDEX. 



Planet, motion of by Ha- 

 milton's method, 142. 

 * orbit of, 18. 

 period of, 19. 



Plucker, 215. 



Poincare, 105, 388, 393, 468. 



Poinsot, 252, 255, 256, 261, 

 263. 



central axis, 210. 

 Point -function, 88, 329. 

 Point, material, 21. 

 Poiseuille, 552. 

 Poisson, 402, 491. 



equation of, 359. 



for two dimen- 

 sions, 387. 



ratio, 463. 



Polar coordinates, 334. 

 Pole, motion of earth's, 270. 

 Polhode, 262. 



cone, 263. 



figure of, 263. 



projections of, 265. 

 Polygon of vectors, 5. 

 Polynomial of Legendre, 



39. 



Potential, definition of, 352. 

 characteristics of, 

 362. 



of continuous distri- 

 bution, 353. 

 determined by pro- 

 perties, 375. 

 derivatives of, 355. 



development in 

 spherical harmonics, 

 402. 



of disc, cylinder, and 



cone, 366. 



due to cylinder, 384. 



of earth's attraction, 

 298. 



energy, apparent, 



180. 



of ellipsoid, 415. 



for internal 

 point, 418. 



of revolution, 

 421. 



development 

 of, 424. 



differentiation 

 of, 419. 



of gravity, 405. 



Potential, kinetic, 179. 



logarithmic, 385. 

 of sphere, 363. 

 of strain, 446. 



of tidal forces, 408. 

 vector, 511. 



of vector, 89. 



velocity, 507. 

 Positional coordinates of 



cyclic system 189. 

 Precession, 255. 



couple in regular, 

 274. 



aijd nutation of top, 

 283. 



of earth, 298. 

 Pressure, 447. 

 Principal axes, of inertia, 



229. 



coordinates, 163. 



function, 132. 

 Principle of Archimedes, 



472. 



of center of mass, 91. 



of energy, 67. 



of Hamilton, 97, 98. 



broader than 

 that of energy, 99. 



most general 

 principle, 130. 



of least action, 97, 

 99, 101. 



of moment of mo- 

 mentum, 96. 



- of varying action,! 31. 

 Problem of Dirichlet, 376. 



for circle, 388. 



for sphere, 395. 



of three bodies, 31. 

 Product, geometric, 7. 



of inertia, 227. 

 scalar, 7. 



vector, 8. 

 Projections, 4. 



of vector, 6. 

 Projectile, path of, 34. 

 Puiseux, 54, 299. 

 Pulley, 60. 



Pump, Bunsen's, 504. 

 Pupin, 169, 170. 

 Pure strain, 430. 



Quadrantal pendulum, 196. 

 Quadrics, confocal, 235. 



Quadrics, elongation and 

 compression, 441. 



reciprocal, 431. 



Ratio of Poisson, 463. 

 Rayleigh,123, 157, 169,529, 



556. 

 .Reaction, 22. 



accelerational , 122. 



of constraint, 42. 



does no work, 65. 

 kinetic, 64, 119, 120. 



non- conservative, 

 122. 



static, 25. 

 Reciprocal distance, deve- 

 lopment of, 398. 



relations in cyclic 

 systems, 191. 

 quadrics, 431. 



Reduction of groups of 



forces, 209. 



Reflection of wave, 545. 

 Relations between stress 



and strain, 455. 

 Relative motion, 247. 

 Resal, 299. 

 Resistance of air, 26. 

 Resonance, 152. 



general theory of,175. 

 Resultant, 5 



Richarz, 362. 

 Riemann, 378, 523. 

 Riemann -Weber, 393. 

 Righting couple, 473. 

 Rigid body, displacement 

 of, 200. 



statics of, 205. 

 Rigidity, 462. 

 Rolling, 307. 



ellipsoid, 259. 



treated by Lagran- 

 ge's equations, 313. 



Rotation, energy due to, 249. 



of earth, 298. 



momentum due to, 

 249. 



of rigid body, 199. 



about in- 

 tersecting axes, 202. 

 about pa- 

 rallel axes, 201. 



of rigid body, infini- 

 tesimal, 203. 



