INDEX. 



The numbers refer to the pages. 



Air- waves, 464 



effect of viscosity on, 570 

 Aperture, 



flow through rectilinear, 82 

 circular, 152 

 elliptic, 160 

 Atmospheric oscillations, 491, 494 



Basin, tidal oscillations in a circular, 



304, 312 



tides in a rotating, 335, 341 

 Bessel s functions, 305, 306, 310 



connexion with spherical harmonics, 



321 

 Borda s mouthpiece, 27, 103 



Canal, long waves in uniform, 271 

 Canal of variable section, 291, 294 

 Canal-theory of the tides, 286 

 Canal of triangular section, standing 



waves in, 426, 429, 432 

 Canals, general theory of waves in, 429 

 Capillarity, 442 

 Capillary waves, 443 

 Circular sheet of water, waves on, 304, 



312, 426 



Circulation denned, 35 

 Circulation-theorem, 38, 57 

 Coaxal circles, 80 

 Complex variable, 74 

 Confocal conies, 82 



quadrics, 158 

 Conjugate functions, 73 

 Curved stratum of fluid, motion of, 



114, 253 



Curvilinear coordinates, 156, 158 

 Cylinder, 



motion of a circular, 85 



with cyclosis, 88 



Cylinder, elliptic, translation, 92 

 rotation, 95, 98 

 rotating, in viscous fluid, 523 

 Cylindrical obstacle, flow past a, 87 



Discontinuity, 



instability of surfaces of, 390, 391 

 impossible in a viscous fluid, 541 

 Discontinuous motions, 100 

 Disk, motion of a circular, 152 

 Dissipation-function, 504, 518 

 Dissipation of energy by viscosity, 517, 536 

 Dissipative forces, general theory of, 

 496, 503 



Eddies, 573 

 Efflux of gases, 28 

 Efflux of liquids, 26, 



through capillary tubes, 



520, 522 



Elasticity of volume, 461 

 Electro-magnetic analogy (vortex-mo 

 tion), 231 



Ellipsoid, Jacobi s, 585 

 Maclaurin s, 583 

 translation of an, 147, 149, 152, 154, 



162 



in viscous fluid, 534 

 rotation of an, 149, 154, 164 

 Ellipsoidal Harmonics, 145, 155 

 Ellipsoidal mass of liquid, rotation, 



of, 582, 585 



Ellipsoidal shell, motion of fluid in, 155 

 Elliptic aperture, flow through, 160 

 Energy, dissipation of, 517, 536 

 equation of, 10 

 of air-waves, 469 



of irrotationally moving liquid, 50, 

 52, 62, 73, 134 



39 



