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| Whittaker E.T., McCrae W. — Treatise on analytical dynamics of particles and rigid bodies |
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| Предметный указатель |
Lame, G. 104
Larmor — Boltzmann representation of the Last Multiplier 278
Last multiplier 277
Laurent, H. 337
Laurent, P.A. 198
Law of action and reaction 29
Law, Newtonian 86
Lazzarino, O. 166
Least action 248
Least Curvature or Constraint 255
Legendre, A.M. 81
Lehmann-Filhes, R. 316
Leitinger, R. 256
Levi-Civita's theorem 325
Levi-Civita, T. 90 325 343 385 411
Levy's theorem 330
Levy, M. 330 331
Liapounoff, A.M. 400
Lie and Koenigs' theorem 275
Lie, S. 275 290 295 301 322 343
Linders, F.J. 393
Lindstedt, A. 413
Liouville's type, systems of 67
Liouville, J. 67 281 323
Liouville, R. 167
Lipschitz, R. 256
Localised vectors 15
Longley, W.R. 393
Lord Kelvin, (W. Thomson) 261
Lord Rayleigh 230 261
Lovett, E.O. 339 393 395
MacMillan, W.D. 85
Marcolongo, R. 166
Mass 28
Mathieu transformations 301
Mathieu, E. 301
Mayer, A. 45
Mean anomaly 89
Mean distance 87
Mean motion 88
Mehmke, R. 77
Meridian plane 18
Molecular forces 32
Moment of a force 30
Moment of inertia 117
Momental ellipsoid 124
Momentum 48
Momentum, angular 59
Momentum, corresponding to a coordinate 54
Momentum, integral of 58
Monge, G. 264 316
Motion, impulsive 48
Motion, initial 45
Motion, mean 88
Motion, steady 193
Moulton, F.R. 106 390 391 393 395
Multiplier, Last 277
Muth, P. 183
Nanson, E.J. 183
Natural family of orbits 389
Natural systems 57
Neumann, C. 116 215 239
Newcomb, S. 413
Newton's theorem on revolving orbits 83
Newtonian law 86
Nicomedi, R. 112
Nobile, V. 82
Node 349
Nodes, elimination of the 341
Non-holonomic 33
Normal coordinates 181
Normal vibrations 186 195
Novikoff, P.M. 407
Oekinghaus, E. 91
Ogura, K. 409
Olsson, O. 166
Orbit 78
Orbit periodic 386
Order of a system 52
Order of an integral-invariant 268
Oscillation, centre of 132
Ostrogradsky, M. 264 265
Painleve, P. 70 227 262 379 385 389 411
Parallel fields of force 93
Parameters, Cayley — Klein 11
Parameters, differential 111
Parameters, Euler's 8
Particle 27
Particles, Lagrange's 393
Pascal, E. 214
Pavanini, G. 391
Pendulum, simple 72
Pendulum, spherical 104
Pennacchietti, G. 338
Perfect roughness 31
Pericentre 85
Perihelion 86
Perihelion-constant 87
Period 73
Periodic solutions or orbits 386
Periodic time 87
Pfaff's expression 296
Pfaff's system of equations 307
Pfaff, J.F. 264 296 307 316
Pitch of a screw 5
Plane, invariable 346
Planetoid 353
Poincare's normal variables 387
Poincare's theorem 380
Poincare, H. 203 267 286 343 354 380 385 387 400 403 407 410 413 424
Poinsot's representation 152
Poinsot, L. 2 152
Point-transformation 293
Poisson's bracket-expressions 299
Poisson's stability 407
Poisson's theorem 320
Poisson, S.D. 163 230 264 281 299 320 407
Polhode 154
Possible displacement 33
potential energy 38
Potential Kinetic 38
Potential, involving the velocities 44
Principal axes of inertia 124
Principal coordinates 181
Principal function 317
Principal moments of inertia 124
Principle of least action 248
Principle of Least Curvature or Constraint 255
Principle of relativity 26
Principle of Superposition of Vibrations 186
Principle, Hamilton's 246
Problem of three bodies 339
Problem of Three Bodies in a plane 351
Problem of Three Bodies, restricted 353
Product of inertia 116
Prolongation of motion after a collision 411
Puiseux, V. 106
Quadratures, problems soluble by 54
Quanjel, J. 316
| Quantitas Motus 48
Quasi-coordinates 41 42
Quaternions 9
Radau, R. 348
Radius of gyration 118
Rayleigh's dissipation-function 230
Reaction, law of Action and 29
Reciprocal theorem, Helmholtz's 304
Reciprocation 291
Relations, invariant 326
Relative integral-invariants 271
Relative velocity 14
Relativity, principle of 26
Repellent regions of field of force 403
Resal, H. 115
Resistance of air 229
Restricted problem of three bodies 353
Resultant of vectors 14
Reversed forces 47
Reversed motion 305
Revolving orbits 83
Rigid 1 32
Rodrigues and Hamilton's theorem 3
Rodrigues, O. 3 9
Rogularisation 411
Rotation about a line 1
Rotation about a point 1
Rotation, instantaneous axis of 2
Rotation, instantaneous, centre of 3
Rough 31
Routh, E.J. 55
Rueb, A.S. 144
Salkowski, E. 109
Scheffler, H. 255
Schenkl, E. 256
Schoute, P.H. 85
Schouten, G. 408
Screw displacement 5
Segner, J.A. 124
Siacci, F. 21 24 154 174 230 325
Signorini, A. 388
Similarity in dynamical systems 47
Sir Darwin, G.H. 407
Sir Hamilton, W.R. 3 9 55 79 246 264 288 290 315 316 323 409
Sir Larmor, J. 278
Sir Newton, I. 27 29 30 47 48 59 62 77 78 82 83 86 90 103 229
Sir Stokes, G.G. 271
Sir Wren, C. 48 234
Sleeping top 206
Smooth 31
Sommerfeld, A. 193
Spherical pendulum 104
Spherical top 159
Spirals, Cotes' 83
Stability of Equilibrium 186
Stability of orbits 396 407
Stability of steady motion 193
Stability, coefficient of 396
Stability, index of 398
Stability, secular 203
Stader, J.F. 81
Staeckel, P. 109 166 335
Steady motion 163 193
Stekloff, Y. 166
Stroemgren, E. 395
Sturm, J.C.F. 396
Sub-group 301
Suchar, I. 80
Sudden fixture 169
Sundman, K.F. 411 412
Superposition of vibrations 186
Surface-density 118
Suspension, centre of 132
Sylvester's theorem 183
Sylvester, J.J. 184
Symbol of an infinitesimal transformation 303
Symbol, Christoffel's 39
System, adjoint 287
Systems, dissipative 226
Systems, frictional 227
Systems, isoperimetrical 267
Systems, Pfaff's 307
Tait, P.G. 409
Taylor, Brook 177
Tchapligine, S.A. 166 167
Thomson's theorem 261
Thomson, W. see "Kelvin Lord"
Three bodies, problem of 339
Three Bodies, Problem of, in a plane 351
Three Bodies, Problem of, restricted 353
Time 27
Time, periodic 87
Tisserand, F. 419
Tissot, A. 104
Tonelli, L. 388
Top 155
Top, Kowalevski's 164
Top, sleeping 206
Top, spherical 159
Trajectory 78 245
Transformation, contact- 290 293
Transformation, Mathieu's 301
Transformation, Poincare's 410
Translation 1
Trojan group of asteroids 393
True anomaly 89
Two centres of gravitation 97
Type, Liouville's 67
Unstable 186 193 203 396
Variational equations 268
Vector, localised 15
Vectors 13
Velocity 14 33
Velocity, angular 15
Velocity, corresponding to a coordinate 33
Velocity, relative 14
Vibrations about equilibrium 177
Vibrations about steady motion 193
Vibrations of dissipative systems 232
Vibrations of non-holonomic systems 221
Vibrations, normal 186 195
Vierkandt, A. 215
Virtual work 264
Vis Motrix 29
Vis viva 35
von Helmholtz, H. 45 55 247 305
von Leibnitz, G.W. 35
von Yieth, J. 23
Voss, A. 249
Wallis, J. 48 234
Wassmuth, A. 256
Wave-fronts 289
Weber's law of attraction 45
Weber, W. 45
Weierstrass, K. 183 197 412
Whewell, W. 78
Whittaker, E.T. 64 339 343 388 393 407 413 424
Work 30
Woronetz, P. 221 343
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