Aberration of light, 134, 153; Fresnel's

theory respecting, 141

Airy, Sir G. B., on tides and waves, 163,
165, 169, 171

Angular velocities of a fluid, 81, 112
Axes of extension, 82

Babinet's result as to non-influence of
earth's motion on interference ex-
plained, 142

Ball pendulum, resistance to, 180, 186;
resistance to a, within a concentric
spherical case, 41, 181; in presence of
a distant plane, 43; within rectangu-
lar box, 111, 305

Box, motion of fluid within a closed, of
the form of a parallelepiped, 60, 66,
194, 288; equilateral triangular prism,
65; elliptic cylinder, 65; sector of
cylinder, 305

Cauchy's proof of a fundamental pro-

position in hydrodynamics, 107, 160
Challis, Prof., aberration, 138; hydro-
dynamical theorem, 160; ball pendu-
lum, 180

Convergency, essential and accidental,
241; infinitely slow, 281
Current, superficial, in water an accom-
paniment of waves, 208
Cylinder, motion of a piston and of the
air within a, 69

Cylindrical surfaces, (circular) motion

of perfect fluid between, 30; (elliptic)
approximate motion within or outside,
54; (circular) motion of viscous fluid
between, 102

Determinateness of problems in fluid
motion, 21

Discharge of air through small orifices,
paradox relating to, 176
Discontinuity, determination of, in a

function expressed by series or inte-
grals of periodic functions, 239, 271;
propositions respecting, in the sums of
infinite series, &c., 279; of motion in
a fluid, 310

Doubly refracting crystals, formula for
determining the principal indices of,

148

Earnshaw, S., on solitary waves, 169
Eddies, production of resistance by, 53,
99; production of, 311

Elastic solids, isotropic, equations of
equilibrium &c. of, 113; necessity of
two arbitrary constants in the equa-
tions, 120

Fresnel's theory of non-influence of

earth's motion on the reflection and
refraction of light, 141
Friction, internal, of fluids, theory of, 75,
182; production of eddies by, 99, 311

Gerstner's investigation of a special case
of possible waves, 219
Green, notice of his papers on waves,

162; on sound, 178; on the motion of
fluid about an ellipsoid, 54, 179

Hydrodynamics, report on, 157

Impulsive motion of fluids, 23

Instability of motion, 53, 311
Integrating factor of homogeneous dif-
ferential equations, 130

Kelland, Prof., long waves in canal of
any form, 163; oscillatory waves in tri-
angular canal, 165

Lee-way of a ship, effect of waves on,
208

Lines of motion (see Stream lines)
Luminiferous ether, equations of mo-
tion of, 124; constitution of, 153

Motion of fluids, some cases of, 17; sup-
plement, 188

Newton's solution of velocity in a vortex,
correction in, 103

Parallelepiped, rectangular, motion of
fluid within, 60, 66, 288; experiments
as to the motion, 194; different ex-
pressions for permanent temperature
in, 295, 302; expression for the poten-
tial in a hollow conducting, due to an
interior electric point, 303

Periodic series, critical values of the
sums of, 236

Pipe, linear motion of fluid in a, 105;
production of eddies in a, 99
Poisson's theory of elastic solids, 116;
of viscous fluids, 118, 182; reduction
of his two arbitrary constants in the
latter case to one, 119, 184
Poisson's solution of the problem of a
ball pendulum, correction in, 42, 49

Rankine's investigation of a special case
of possible rotational waves, 219; of
the limiting form of irrotational waves,
225

Rectangle, different expressions for the
permanent temperature in, 290

Reflection, principle of, as applied to
the motion of liquids, 28
Resistance referable to instability of
motion and eddies, 52, 99

Saint-Venant and Wantzel, discharge of
air through small orifices, 176
Saint-Venant, equations of motion of a
viscous fluid, 183

Sound, intensity and velocity of, theo-
retical effect of viscosity of air on, 100
Spheres, motion of fluid between two
concentric, 38; non-concentric, 230
Steady motion of incompressible fluids, 1
Stream lines, determination whether a
given family of curves can be a set of,
in two dimensions, 5, 9; for motion
symmetrical about an axis, 15

Thomson, F. D., demonstration of a the-
orem due to him, 7

Thomson, Sir W., hydrodynamical ap-
plication of his method of images, 230;
expression suggested by, for perma-
nent temperature in rectangular pa-
rallelepiped, 301

Tides (see Waves)

Triangular prism, (equilateral) motion of
fluid within, 8, 65

udx+vdy+wdz an exact differential,
proposition relating to, 1, 20, 106,
158
Uniqueness of expression for p, q, or 4,
23

Waves and tides, report respecting, 161
Waves, theory of oscillatory, of finite
height, 197, 314; of small, at the com-
mon surface of two liquids, 212;
greatest height of, at the surface of a
liquid, 225; Gerstner and Rankine's
investigation of a special possible case
of, 219; solitary, 168, 325