570 



INDEX. 



Function, conjugate, 82, 85 



continuous, 17, 19 



dissipation, 125 

 Green's, 290 



,, harmonic, 65 



,, holomorphic, 14, 88 



homogeneous, 25 



irrational, 14 



,, monogenic, 81 



multiform, 13 



,, of point, 20 



,, rational, 14 



,, transcendental, 14 



,, uniform, 13, 81 

 Functions, circular harmonic, 87, 179 

 force-, 110 



hyperbolic and circular, 317 



,, reciprocal, 123 



spherical harmonic, 183 



Gauss, 8, 77, 100, 165, 199, 220, 238, 416 

 ,, integral of, 77 

 ,, theorem of, 75 

 ,, theorem on energy, 219 

 Gaussian system of units, 367, 413, 414, 



418, 509, 557 



General problem of electrostatics, 263 

 Generalized coordinates, 116 



,, equations of Lagrange, 118 



Geometric addition, 9 



mean distance, 461 

 ,, multiplication, 10 

 product, 11 

 Gibbs, 153 

 Glazebrook, 488 

 Gram, 98 

 Gray, 457 



and Mathews, 545 

 Green, 59, 164, 290 

 ,, formulae of, 162 

 ,, ,, for logarithmic poten- 



tial, 178 



,, function of, 290 

 ' for plane, 293 



. for sphere, 295 

 ,, problem of, 290 

 theorem of, 59, 63 

 for plane, 176 



in curvilinear coordi- 



nates, 171 

 Guard-ring, 281 



Gyrostat, 129 



Hamilton, 6, 8, 25, 57, 116, 123, 124 



equations of, 124, 467 

 Hamilton's Principle, 116, 142 

 Harkness and Morley, 18, 44, 171 

 Harmonic functions, 65 



circular, 87, 179, 181 

 development 



in, 181 



spherical, 183, 186, 

 187, 188, 189, 191, 

 240 



,, oscillation, 479 

 Harnack, 179 



Heat developed in conductors, 333 

 Heaviside, 56, 153, 360, 390, 391, 392, 

 393, 449, 479, 505, 508, 519, 524, 531, 

 534, 536, 540, 545, 547, 551, 557 

 Helmholtz, 56, 125, 128, 335, 355, 384, 

 392, 418, 430, 435, 447, 448, 467, 469, 

 472, 488, 556 

 Helmholtz 's theorem, 433 

 Hertz, 137, 392, 407, 418, 449, 505, 517, 



519, 524, 527, 530, 534, 554, 557 

 Heterogeneous medium, effect of, 441 

 Hollow cylinder, magnetization of, 375 

 Holomorphic function, 14, 88 

 Homoeoid, attraction of, 210 



ellipsoidal, 203 

 Homogeneous function, 25 

 Hopkinson, 394 

 Hospitalier, 479 



Hyperbolas, orthogonal equilateral, 86 

 Hyperbolic and circular functions, 317 

 cylinders, distribution on, 



315 

 Hysteresis, 393 



couple, 397 



,, dissipation of energy in, 375 



loop, 394 

 static, 394 



Idiostatic method, 284 

 Image, electrical, 294 



in sphere, 298 



Impedance, 479 

 Impressed force, 97 

 Indefinite integral, 41 

 Index of refraction, 517 

 Induced charge, 360 



