INDEX. 



583 



Force, effective, generalized 

 component of, 118. 

 function, 68. 



particular case 

 of, 73. 



for Newtonian 

 law, 75. 



containing time, 

 69. 



of inertia, 64. 



gyroscopic, 185, 278. 



momental, 120. 

 motional, 26. 



n on -momental, 119. 



parallel, 205. 



positional, 26. 



reduction of groups 

 of, 299. 



tidal, 408. 



Forced vibrations, 152. 

 Formula of Green, 370. 

 Foucault, 257, 324, 325, 326. 



pendulum of, 324. 



gyroscope of, 324. 

 Fourier, 173, 393. 



coefficients in series 

 of, 392. 



Freedom, degrees of, 58. 

 Free vector, 199. 

 Frequency, 35. 

 Friction, effect on top, 303. 

 Fujiyama, 367. 

 Function, analytic, 523. 



characteristic, 136. 



flux, 516. 



Hamiltonian, 117. 



Lagrangian, 115. 

 linear vector, 428. 

 normal, 171. 



fundamental 

 property of, 172. 

 of point, 88. 

 principal, 132. 

 self - conjugate , 430. 



of St. Venant, deter- 

 mination of, 483. 



g, formula for, 406. 

 g, value of, 32, 33. 

 Galileo, 3, 32, 58 

 Gauss, 32, 312, 350, 351, 



373, 374, 387, 425, 



426. 



differential equation 

 of, 312. 



Gauss, theorem of, 350, 387. 



on energy, 425. 



of mean, 374. 

 Generalized coordinates, 



109, 111. 



velocities, 112. 

 Geodesic line, 103. 

 Geodesy, application of 



spherical harmonics 



to, 404. 



Geometric product, 7, 116. 

 Geometrical representation 



of stress, 450. 

 Geometry of motion, 3. 

 Gleitung, 441. 

 Glissement, 441. 

 Gravitating rotating fluid, 



468. 

 Gravitation, constant of, 30. 



kinematical state- 

 ment of, 20. 



universal, 29. 

 Gravity, center of, 90. 



terrestrial, potential 

 of, 405. 



Green, 340, 343, 370, 379, 

 386, 388, 456. 



formula of, 370. 



for logarithmic 

 potential, 388. 



theorem of, 340. 



in curvilinear 

 coordinates , 



for plane, 386. 

 Griffin mill, 273. 

 Gyration, ellipsoid of, 232. 

 Gyroscope, 274. 



in torpedo, 257. 



as compass, 326. 



latitude by, 325. 

 Gyroscopic forces, 185, 278. 



terms, 185. 



pendulum, 282. 



horizon, 296. 



system, curves drawn 

 by, 293, 294. 



Gyrostat, 186. 



stability of spinning, 

 291. 



Hadamard, 313. 

 Hamilton, 7, 21, 97, 126, 

 128, 131, 176. 



equations of, 126. 



Hamilton, equations from 

 Hamilton's principle, 

 127. 



method of, 136. 



principle of, 97. 



equations of hy- 

 drodynamics by, 499. 



of string by, 

 170. 



partial differential 

 equation of,; 135. 



theorem of, 135. 

 Hamiltonian function, 127, 



128. 

 Harmonics, circular, 388. 



development in, 

 390. 



of pipe, 546. 



spherical, 393. 



examples of,394. 



forms of, 395. 



axes of, 396. 



in spherical 

 coordinates, 398. 



zonal, 397. 



of string, 169. 

 Harmonic function, 345. 



~ motions, 35. 



elliptic, 36. 

 Harkness and Morley, 378. 

 Harnack, 388. 



Hay ward, 324. 



Heat, dynamical theory of, 



64. 



Heaviside, 87. 

 Height, metacentric, 474. 



of atmosphere, 404, 

 408, 465. 



Helmert, 33, 362, 407. 

 Helmholtz, 3, 86, 176, 179, 



458, 507, 509, 511, 



512. 



energy form, 458. 



theorem of, 512. 

 Herpolhode, 262, 263. 

 Hertz, 21, 113, 182, 193. 

 Hilbert, 378. 



Heterogeneous strain, 444. 

 Hodograph, 19. 

 Homoeoids, ellipsoidal, 409. 

 Homogeneous strain, 428. 

 Horse-chestnut, toy, 23. 

 Hooke, 455. 



Hoop, rolling, of, 308. 



