584 



INDEX. 



Howell torpedo, 272. 

 Huygens, 148. 

 Hydrodynamics, 496. 



equations of, 497. 

 Hydrostatics, 463. 

 Hyperellyptic function for 



top,. 303. 



Hypergeometric series, 312. 

 Hyperspace, 113. 

 Hypocycloid on polhode, 



270. 

 Hypotrochoids described by 



heavy top, 293. 



Ignoration of coordinates, 

 179. 



example of, 181. 

 Impulse, 70. 



and velocity, geome- 

 tric product of, 72. 



Impulsive forces, 71. 



in Lagrange's 

 equations, 134. 



Impulsive wrench, 225. 

 Indeterminate multipliers, 



62. 

 Inertia, 21. 



axes of, distribution 



in space, 239. 



coefficients of, 112. 



ellipsoid of, 231. 



force of, 64. 

 moments of, calcu- 

 lation of, 241. 

 principal axes of,229. 



moments of, 231. 



products of, 227. 

 Infinitesimal arc, area, vo- 

 lume, 338. 



Integral of function of com- 

 plex variable, 524. 



Interferences, 156. 



Invariable axis, motion of 

 in body, 266. 



and plane, 95. 

 Invariants of strain, 457. 

 Invariant, second differen- 

 tial parameter, 347. 



Irrotational motion, 520. 



Isochronous vibration har- 

 monic, 146. 



Isocyclic motion, 189. 



Isotropic body, stresses in 

 460. 



Isotropic body, energy 



function for, 457. 

 Ivory's theorem, 420. 



Jacobi, 135, 297, 380, 470. 



ellipsoid of, 470. 



method of, top equa- 

 tions by, 297. 



Jordan, 402. 



Kater, 251. 

 Keely, 153. 



Kelvin, 3, 376, 378, 511, 538, 

 557. 



and Dirichlet's prin- 

 ciple, 376. 



Kepler, 18, 38. 



laws of, 31. 



Kilogram, weight of, 32. 

 Kinematics, 3. 



of deformable bo- 

 dies, 427. 



of rigid system, 243. 

 Kinematical equations of 



Euler, 276. 



Kinetic energy, general 

 form of, 112. 



due to rotation 

 249. 



focus, 105. 

 potential, 179. 



linear terms in, 

 184. 



reaction, 64, 65, 119, 

 120. 



Kinetoscope, 23. 

 Kirchhoff, 69, 499. 



energy function of, 

 459. 



Klein and Sommerfeld, 273. 

 Kneser, 105. 

 Korteweg, 316. 

 Krigar-Menzel, 362. 

 Kronecker, 378, 393. 

 to 



Lag, in forced vibration, 153. 

 Lagrange, 155, 157, 164, 



173, 507, 508. 



equations of motion, 



first form, 108. 



equations of motion, 



115. 



by direct 



transformation, 115. 



Lagrange, equations for 

 small oscillations, 

 158. 



of equilibrium, 

 62. 



for pure rolling, 

 313. 



determinantal equa- 

 tion, 159. 



roots of, 160. 



method of, top equa- 

 tions by, 279. 



Lagrangian function, 115. 



modified, 179. 

 method in hydro- 

 dynamics, 499. 



Lamb, 499. 



Lame, 329, 331, 344, 380. 



Lame's shear -cone, 451. 



stress-ellipsoid, 451. 

 Lamellar vectors, 87. 

 Laminar flow, 554. 

 Laplace, 3, 398, 401, 402 r 



542, 544. 



equation of, 349. 



in spherical and 

 cylindrical coordina- 

 tes, 383 



satisfied by po- 

 tential, 357. 



operator, 349. 

 Laplacian, 350. 



Law of areas, 18, 38. 



Coulomb, 486. 

 inverse squares, 20. 

 Kepler, 18. 



Lenz, 193. 



motion, 20. 



Layers, equipotential, 372. 

 Least action, 99. 

 Legendre, 47, 399. 



differential equation 

 of, 398. 

 polynomials of, 397. 



Lenz's law, 193. 

 Level surface, 88, 89. 



of potential 



function, 329. 



sheet, 89. 



Line-coordinates, 215, 221. 

 Line-integral, 84. 

 Line -integral, independent 



of path, 87. 

 Lines of force, 354. 



