INDEX. 



587 



Rotation, as vector, 203. 

 Roating axes,, 317. 



fluid, 467. 

 Routh, 176, 179. 



Routh and Helmholtz, trans- 

 formation of, 177. 



Sachse, 393. 



de Saint Tenant, 478, 485. 



problem of, 478. 

 Scalars, 4. 



Screw, momentum, 224. 

 Screws, composition of, 216. 



reciprocal, 221. 

 Schwerer, 296. 

 Searle, 269. 



Second, mean solar, 27. 



differential parame- 

 ter, 344. 



Self-conjugate function,430. 

 Sense, muscular, 24. 

 Series, hypergeometric, 312. 



trigonometric, 173, 

 388. 



Sevres, 26. 

 Shear, 439. 



amount of, 441. 



general, 441. 



modulus of, 462. 

 Shifts, 436. 



Ship, heeling of, 72. 

 Simple strains, 439. 



stresses, 451. 

 Sleeping top, 304. 

 Slesser, 299. 

 Slides, 441. 



Small oscillations, 157. 

 Solenoidal condition, 349. 



vector, 347. 

 Solid angle, 351. 

 Somoff, 380. 

 Sound-waves, 542. 

 Sources and sinks, 520. 



strength of, 521. 

 Source of Sound, strength 



of, 547. 

 Space, connectivity of, 339. 



of m dimensions, 113. 

 Sphere, moment of inertia 



of, 241. 



potential of, 365. 

 under pressure, 475. 



Spherical harmonics, 393. 



axes of, 396. 



Spherical harmonics, deve- 

 lopment in, 400. 



of potential 

 in, 402. 



forms of, 395. 

 zonal, 397. 



waves, 547. 

 .Squeezes, 439. 

 Squirt, 521. 

 Statics, 57. 



foundation of, 58. 



of rigid body, 205. 

 Steps, 4. 



Steady motion in hydro- 

 dynamics, 503. 



Stiffness, 151, 158. 



Stokes, 84, 86, 345, 404, 

 497, 510, 533. 



theorem, 86. 



in curvilinear 

 coordinates, 381. 



Strain, axes of, 433. 

 ellipsoid, 432. 



general small, 436, 



heterogeneous, 444. 



homogeneous, 428. 



inverse, 432. 



irrotational, 433. 

 pure, 430. 



potential, 446. 

 relatively homoge- 

 neous, 445. 



composition of, 437. 

 Strength of field, 353. 

 Stress, 24, 446. 



ellipsoid, 451. 



Cauchy's 451. 

 Lamp's, 451. 



geometrical represen- 

 tation of, 450. 



in isotropic bodies, 

 460. 



simple, 451. 



vector, 447. 

 work of, 454. 



and strain, relations 

 between, 455. 



String, vibrations of, 164. 

 Surface distribution, 367. 



of equal action, 139. 

 level, 88. 



parallel, 139. 

 Sum, geometric, 5. 

 System, conservative, 65. 



System, cyclic, 188. 



non-conservative, 69. 



Tait, 141. 



Target, problem of shoot- 

 ing, 103. 



Tautochrone, 144. 



Taylor's theorem, 36, 78, 

 79, 157, 346, 391, 

 399, 444, 455, 509. 



Tensor of vector, 6. 



Terrestrial gravity, poten- 

 tial of, 405. 



Theorem, of bending mo- 

 ment, 490. 



Bernoulli's, 505. 



Chasles's, 413. 

 Clairaut's, 404. 

 of Coriolis, 319. 

 divergence, 347. 



Euler's, 114, 127. 



Gauss's, 350. 



for two dimen- 

 sions, 387. 



on energy, 425. 

 Green's, 340, 343. 



for plane, 386. 



in curvilinear 

 coordinates, 381. 



Hamilton's, 135. 



Helmholtz's, 612. 



Ivory's, 420. 

 for liquids, 465. 



Maclaurin's, 414. 

 of mean, Gauss's, 374. 



Newton's, 409. 



of parallel axes, 229. 

 Taylor's, 36, 78, 79, 

 157, 346, 391, 399, 

 444, 455, 509. 

 Stokes's, 86. 



in curvilinear 

 coordinates, 381. 



Thomson and Tait's, 

 138. 



Torricelli's , 506. 



Thomson and Tait, 21, 29, 

 72, 76, 105, 138, 148, 

 179, 196, 278, 378, 

 424, 459, 462, 470. 



Tides, canal theory of, 539. 



equilibrium theory 

 of, 535. 



inversion of, 541. 



