588 



INDEX. 



Tide-generating forces, po- 

 tential of, 408. 



Time, 3, 4. 



measurement of, 22. 



Tisserand, 470. 



Todhunter and Pearson, 438, 

 459. 



Tone, pure, 546. 



Top, curve, 272. 



heavy symmetrical, 

 274. 



Maxwell's, 268. 



kinetic reaction of, 

 271. 



rising of, 303. 



rise and fall of, 285. 

 on smooth table, 302. 



nearly vertical, 289. 

 symmetrical, 271. 



equations by Jacobi's 

 method, 297. 



Lagrange's me- 

 thod, 277. 



Torricelli's theorem, 506. 



Torsion, 483. 



Traction, 447. 



Translation of rigid body, 

 199. 



- decomposed 

 into rotations, 202. 



Trigonometric series, 388. 



Trochoids drawn by top,288. 



Torpedo, Whitehead, 257. 

 Howell, 272. 



Triangle of vectors, 5. 



Tube of vector-function, 348. 



Tuning, 154. 



Tuning-fork, 36. 



Twist of billiard-ball, 306. 



Uniform motion, 21. 



circular motion, 37. 

 Units, absolute system of, 31 . 



derived, 27. 



dimensions of, 27. 



C. G. S., 29. 



Variable, complex, 521. 

 Variations, calculus of, 77. 

 differentiation of, 79. 



of integral, 80. 

 Varying action, 131. 



constraint, 129. 

 Vectors, 4. 



addition of, 5. 

 couples of, 204. 

 free, 199. 

 lamellar, 87. 



product, 8. 



polygon of, 5. 

 sliding, 200. 

 tensor of, 6. 



Vector -cross, 212. 



conjugate lines 

 in, 213. 



function, linear, 428. 



potential, 511. 

 Velocityv-definition of, 9. 



angular, 11. 



components of, 10. 

 composition of, 10. 

 generalized, 112. 

 moment of, 12. 



sector, 12. 



transverse and radial, 

 11. 



potential, 507. 



due to vortex, 514. 

 critical, for planet,40. 



Venturi water-meter, 504. 

 Vibrations, energy of, 164. 

 forced, 152. 



free, 153. 



forced and free coex- 

 isting, 157. 

 isochronous necess- 

 arily harmonic, 146. 



normal, 163. 

 small, 36, 46. 



Vierkant, 313, 314. 

 Virtual work, 57. 



principle of, 61. 



displacement, 58. 



Viscosity, 551. 

 Viscous fluids, 549. 



solid, 555. 

 Vortex, 506. 



couple, 520. 



energy of, 515. 



in corner, 519. 



ring, 620. 



straight, 515. 



strenght of, 507 



velocity due to, 

 Vortex -motion, 509. 



conservati 

 511. 



Vorticity, 502. 



Water-meter, Ventu 

 Wave -motion, 529. 

 Waves in deep water, 



differential equat 

 of, 543. 



highest, 533. 



plane, 543. 



in shallow * 

 535. 



in solid, 548. 



standing, 535 



of sound, 54. 

 Webster, 127, 381, 

 Weierstrass, 378. 

 Weight of kilogram 

 Whitehead torpedo 

 Wien, 499. 

 Woodward, 362. 

 Work, 56. 



of stress, 454. 



of wrench, 22 



unit of, 56. 



virtual, 57. 

 Wrench, 216. 



impulsive, 225. 



work of, 220. 



Young's modulus, 462 



Zollner, 252. 



Zonal harmonics, 397. 



ERRATA. 



p. 30, line 21, for y = 6.576 read y = 6.6576. 



205, line 7 from bottom, for AB and PQ read AP and BQ. 



Dresden. 



