Treatise on natural philosophy : Vol 1. Part 2 / by Sir William Thomson and Peter Guthrie Tait.
- Date:
- 1883
Licence: Public Domain Mark
Credit: Treatise on natural philosophy : Vol 1. Part 2 / by Sir William Thomson and Peter Guthrie Tait. Source: Wellcome Collection.
Provider: This material has been provided by the Royal College of Physicians of Edinburgh. The original may be consulted at the Royal College of Physicians of Edinburgh.
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![Laplace’s equation expressed in generalized rectangular co-ordinates, i. p. 164 A0 (/) ; in polar co-ordinates, 1. p. 164 A0 {(]); in columnar co-ordi- nates, 1. p. 165 An (h) solution proved possible and unique when the function is given in value at every point of a given surface, 1. p. 169 A (b)—(e) Latitude, effect of hill, cavity, or crevasse on, 11. 478, 479 Length, measures of, 1. 407—409 Level surface, see Equipotential surface Machine, Tide-predicting, 1. B' 1. for solving simultaneous linear equa- tions, 1. B' 11. for calculating the integral of a given function, 1. B' hi. for calculating the integral of the product of two given functions, 1. B' iv. for solving the general linear differ- ential equation of the second order, 1. B' v. for solving any linear differential equa- tion, 1, B' vi. for calculating the harmonic com- ponents of a periodic function, 1. B VII. Magnetometer, bifilar, 1. 435 Mass, connexion of, with volume and density, 1. 208 unit of, 1. 209 measurement of, 1. 258, 412 gravitational unit of, 11. 459 negative, 11. 401 Metacentre, 11. 708 Moment, virtual, 1. 237 Momental ellipsoid, 1. 282 Momentum, defined, 1. 210 change of, 1. 211 rate of change of, 1. 212 conservation of, 1. 207 moment of, 1. 235 moment of, composition and resolution of, 1. 235, 230 moment of, conservation of, 1. 207 generalized expression for components of, 1. 313 Motion, direction of, 1. 4 rate of change of direction of, 1. 5 quantity of (see Momentum) resultant, 1. 50 resultant, mechanical arrangement for, 1. 51 relative, 1. 45 relative, examples of, 1. 47, 48, 49 Newton’s Laws of, 1. 244—209 superposition of small, 1. 89 Motion,. Harmonic (see Harmonic Mo(ion) of a rigid body about a fixed point, 1. 95, 100, 101 general, of a rigid body, 1. 102, 103 general, of one rigid body on another, 1. 110 of translation and rotation, independ- ence of, 1. 206 equations of, formation of, 1. 293 equations of impulsive, 1. 310 general indeterminate equation of, 1. 293 equations of, Lagrange’s generalized form of, 1. 318; examples of, 1. 319 equations of, Hamilton’s form, 1. 318, 319 Hamilton’s characteristic equation of, 1.. 330 complete solution of a complex cy- cloidal, 1. 343 (a)—(e); 1. 345 (i)—(v). infinitely small, of a dissipative sys- tem, 1. 342 ideal, of an accumulative system, 1. 344, 345 of a gyrostatic conservative system, 1. 345 (vi)—(ix); with two degrees of freedom, 1. 345 (x); with three degrees of freedom, 1. 345 (xi)ir with four degrees of freedom, 1. 345 (xii)—(xxi); with any number of freedoms, 1. 345 (xxii)—(xxviii) disturbed, general investigation of, 1.. 356 equations of, of a single particle in polar co-ordinates, 1. 319 equations of, of a single particle re- ferred to moving axes, 1. 319 of a sphere in an incompressible fluid bounded by an infinite plane, 1. 320 321 of a solid of revolution with its axis parallel to a plane through an un- bounded fluid, 1. 320—325 ot solids in fluids, practical observa- tions on, 1. 325 Normal modes of vibration, or of falling' away from a position of unstable- equilibrium, 1. 338 ; case of equality between the periods of two-or more- modes, 1. 339 Ocean, stability of the, 11. 816 Optics, application of varying action to a question of geometrical, 1. 335 Pendulum, 1. 431 ballistic, 1. 298, 307](https://iiif.wellcomecollection.org/image/b21987312_0553.jp2/full/800%2C/0/default.jpg)
