Teodorescu P.P. Mechanical Systems, Classical Models Volume I: Particle Mechanics
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SUBJECT INDEX
Acceleration, 15,293
areal, 294
composition, 332,337
deviation, 296
generalized, 364
gravity, 40,46
in a discontinuous motion, 299
in curvilinear co-ordinates, 296
cylindrical, 298
polar, 298
spherical, 298
of a rigid solid, 307
of higher order, 298
Articulated system, 264
open, 272
polygonal line, 272
spatial, 269
truss, 265
Axoid, 318
fixed, 318
herpolhodic cone, 320
movable, 318
polhodic cone, 320
Body, 35
classification, 35
incompressible, 32
rigid solid, 35
bar, 36
block, 37
plate, 36
state of aggregation, 35
Constraint, 166
axiom of liberation, 167
bilateral, 167
case of a single particle, 176
catastatic, 183
critical, 167,183
degree of freedom, 168
kinematic, 173
static, 168,169
Euler’s angles, 170
Frobenius’ theorem, 180
holonomic, 167,177
ideal, 185
non-holonomic, 167,177
rheonomic, 167,182
scleronomic, 167,182
with friction, 194
of a particle on a curve, 195
of a particle on a surface, 196
Co-ordinate, 11
canonical, 78
Cartesian, 11
cylindrical, 11
Euler, 34
generalized, 364
Lagrange, 34
spherical, 11
Displacement, 162
generalized, 174
possible, 175
real, 175
virtual, 176
possible, 162
real, 162
virtual, 163
Distribution, 18
basic solution, 736
ordinary differential equations, 736
partial differential equations, 738
characteristic function, 22
convolution product, 732
δ Dirac, 19
δ representative sequence, 23
direct product, 731
Fourier transform, 733
Heaviside function, 21
Laplace transform, 735
regular, 19
singular, 19
Stieltjes integral, 25
Field, 709
Almansi’s theorem, 722
Boggio’s theorem, 723
conservative vector, 711
d’Alembertian, 720
derivative, 710
absolute, 719
76 5
MECHANICAL SYSTEMS, CLASSICAL MODELS
766
relative, 718
total, 710
equipotential surface, 712
Gauss-Ostrogradskiĭ formula, 726
Green’s formulae, 727
integral depending on a parameter, 728
Laplacian, 719
nabla (del) operator, 710
Newtonian potential, 730
Nicolesco’s operator, 721
Stokes’ formulae, 725
Force, 37
basis, 77
central, 42,469
Bertrand’s theorem, 476
Binet’s equation, 470
Binet’s formula, 473
capture, 478
diffusion, 479
in a resistent medium, 479
problem of two particles, 476
conservative, 39,355
constraint, 167
Coulombian, 41
damping, 488
decomposition, 75
dissipative, 361
elastic, 42,481
external, 39
field, 38
given, 167
gyroscopic, 361
internal, 39
linear dependence, 76
linear independence, 76
Newtonian, 40
non-stationary, 40
of inertia, 48
perturbing, 513
quasi-conservative, 39
relative, 616
repulsive elastic, 485
stationary, 40
Frame of reference, 4,10
fixed (inertial), 12,615
movable (non-inertial), 615
orthonormed, 11
right-handed, 4
Geometry, 205
Darboux’s trihedron, 208
Frenet’s trihedron, 206
of a curve, 205
of a surface, 208
Homogeneity, 62
dimensional equation, 63,64
Π theorem, 67
Interaction, 62
gravitational, 43
strong, 44
weak, 43
Kinematics, 287
kinematic chain, 344
of a particle, 287
Kinetic energy, 358
Mass, 15,18
centre, 115
centre of gravity, 117
continuous medium, 28
gravity, 17
inertial, 16
material line, 28
material point, 28
material surface, 28
Pappus-Guldin theorem, 121, 122
static moment, 118
unit, 29
Mechanical efficiency, 359
Mechanical energy, 358
Mechanical impedance, 519
Mechanism, 190, 345
Membrane analogy, 3
Model, 2
analogic, 3
deterministic, 49
ideal, 2
mathematical, 1,2,3,4,49
of first order, 3
of mechanics, 1
of second order, 3
technical, 2,3
vectorial, 4
Moment, 89
with respect to a pole, 89
with respect to an axis, 91
of a system of vectors, 99
Moment of inertia, 125
ellipse of inertia, 153
ellipsoid of gyration, 150
ellipsoid of inertia, 149
Huygens-Steiner theorems, 158
Land’s circle, 157
Mohr’s circles, 150,156
plane case, 144
principal directions, 145
tensor of, 142
three-dimensional case, 142
Moment of momentum, 354
Momentum, 18,353
Motion, 2,10
acceleration, 307
bilocal conditions, 361
biological, 1
chemical, 1
circular, 302
electromagnetic, 43
Subject index
767
constraints with friction, 396
cycloidal, 304
elevator problem, 617
first integral, 367
Galileo-Newton
group, 372,624
general theorems, 621
helical, 303,452
horary equation, 14
initial conditions, 364
in resistant medium, 410
instantaneous helical, 317
Lagrange’s equations, 364
mechanical, 1
meeting problem, 619
of a heavy particle
in vacuum, 406
on a surface of rotation, 434
of a particle subjected to constraints, 384
on a curve, 389
on a surface, 392
of a rigid solid, 305
with a fixed point, 319
of Darboux’s trihedron, 316
of Frenet’s trihedron, 315
of rotation, 311
of rototranslation, 313
of systems of rigid solids, 340
of translation, 310
on a curve, 417
geodesic, 449
tautochronous, 443
on a plane, 419
parabolic, 300
physical, 1
plane, 404
plane-parallel, 321
principle of equivalence, 626
rectilinear, 301,401,414
relative, 330,333,615
equilibrium, 626
transformation, 454
transmission, 346
velocity, 305
with a single degree of freedom, 398
with discontinuity, 595
basic equations, 599
collision model, 597
elastic collision, 611
general theorems, 606
generalized force, 598
constraint, 603
particle, 595
free, 595
heavy in vacuum, 604
subjected to constraints, 601
with a single degree of freedom, 398
Newtonian universal attraction, 543
artificial satellite, 578
Bohr’s atom, 591
anomaly
eccentric, 564
mean, 569
true, 564
cosmic velocities, 580
Hertz’s oscillator, 588
hyperbolic motion, 571
Kepler’s equation, 564
Kepler’s laws, 543,566
law of universal gravitation, 547
Newtonian force of attraction
curvilinear motion, 557
rectilinear motion, 555
Planck’s constant, 590
potential
Newtonian, 549
of simple stratum, 552
of the terrestrial spheroid, 554
volume, 553
quantic number, 593
Ritz’s law, 593
Runge-Lenz vector, 561
Oscillator, 483
beats, 500
circular, 485
composition of orthogonal oscillations, 502
computation methods, 535
damped, 504
electromechanical analogy, 521,522
elliptic, 483
forced, 516
Fresnel’s representation, 501
harmonic analysis,499
interference, 499
linear, 495
modulated oscillations, 497
non-linear, 530
pseudoelliptic, 489
resonance, 515
self-sustained, 492,511
transmissibility, 520
variable characteristics, 529
vector representation, 498
Particle of variable mass, 659
aircraft with jet propulsion, 689
balloon problem, 681
central forces, 685
external ballistic problem, 581
general theorems, 668
inverse problem, 665
Levi-Civita’s equation, 661
mathematical pendulum, 682
Meshcherskiĭ’s generalized equation, 662
Meshcherskiĭ’s model, 660
motion along a vertical
in vacuum, 675
in resistant medium, 679
propelled ship, 690
MECHANICAL SYSTEMS, CLASSICAL MODELS
768
Tsiolkovskiĭ’s first problem, 666
Tsiolkovskiĭ’s second problem, 674
Pendulum, 422
cycloidal, 432
elliptic, 432
in a resistant medium, 430
in motion of rotation, 453
spherical, 436
Potential, 39
generalized, 42
quasi-potential, 42
quasi-potential, 39
Principle
of d’Alembert, 32
of Euler, 33
mass conservation, 31
of relativity, 370
of virtual work, 226
Problem
Abel, 441
basic, 361
Puiseux, 442
Power, 359
Quantity
basic, 59
derived, 59
mechanical, 4
primary, 59
secondary, 59
unit, 59
Representative
point, 169
space, 169
Rest, 10
Scalar, 8
Science
interdisciplinary, 2
of nature, 1
Similitude, 70
Cauchy’s model, 73
Froude’s model, 73
Newton’s model, 72
Reynold’s model, 73
Weber’s model, 74
Space, 9
Stability of equilibrium, 218
Lagrange-Dirichlet theorem, 219
of a particle
free, 457
with constraints, 458
topological methods, 460
Torricelli’s theorem, 219
Statics, 201
Lagrange’s equations of first kind, 227
of a particle, 201
free, 201
with constraints, 204
frictionless, 204
unilateral, 216
with friction, 222
with ideal constraints, 212
on a curve, 214
on a surface, 212
of a rigid solid, 229
free, 229
with a fixed axis, 236
with a fixed point, 236
with constraints with friction, 238
with ideal constraints, 232
of discrete mechanical systems, 226
free, 226
with constraints, 225
of systems of rigid solids, 241
simple devices, 246
Support, 190
built-in, 193
hinge
cylindrical, 192
spherical, 191
of a rigid solid with friction, 197
pivoting, 199
rolling, 198
sliding, 197
simple, 190
System, 2
continuous, 1,29
discrete, 1,29
dissipative, 400
dynamics of, 2
mechanical, 1,4,28
natural, 43
of forces, 104
coplanar, 104
parallel, 105
of units, 60
of vectors, 95
bound, 97
free, 95
sliding, 98
physical, 1
statically determinate, 190
statically indeterminate, 190
Tensor, 129
addition, 133
antisymmetric (skew-symmetric), 131
asymmetric, 131
Cauchy’s quadric, 140
contracted product, 134
contraction, 134
deviator, 137
dyadic product, 133
Einstein’s convention of summation, 5
equality, 133
field, 132
invariants
,
139
Kronecker’s symbol, 80
Subject index
769
of nth order, 129
of second order, 135
principal directions, 140
product, 133
quotient law, 134
Ricci’s symbol, 83,102
spheric, 137
symmetric, 131
trace, 134
Terrestrial mechanics, 629
acceleration of the centre of the Earth, 636
Baer’s law, 649
centrifugal force, 639
Coriolis’ force, 647
cyclone, 651
deviation towards the east, 645
Foucault’s pendulum, 651
geocentric frame, 630
heliocentric frame, 631
imponderability, 638
motion at the Earth surface, 631
plummet’s deviation, 640
relative equilibrium, 634
terrestrial acceleration, 642
tide, 637
trade winds, 650
Theorem
conservation, 376
of areas, 383
of existence and uniqueness, 365
universal, 372
Thread, 194,276
on a surface, 283
Time, 9
Torsor of systems of vectors, 99
central axis, 103
minimal form, 103
sliding, 93
Trajectory, 13,287
Vector analysis, 693
curvilinear co-ordinates, 701
derivative, 697
space, 697
time, 697
total, 697
differential form, 708
differentiation, 694
exterior derivative, 708
external product, 705
integration, 699
limit, 694
sequence, 698
series, 698
Maclaurin, 698
Taylor, 698
Vector space, 9
addition, 6
axial, 82
bound, 5
canonical representation, 81
Cauchy’s inequality, 83
direction cosines, 79
equality, 5
equipollent, 6
free, 4
Lagrange’s identity, 83
orthogonal projection, 82
polar, 82
product by a scalar, 8
projection, 7
scalar product, 79,81
scalar triple product, 83
sliding, 5
vector product, 81
vector triple product, 86
Velocity, 15,288
areal, 292
composition, 331,333
generalized, 364
hodograph, 293
curvilinear co-ordinates, 289
cylindrical, 291
polar, 291
spherical, 291
of a rigid solid, 305
possible, 175
real, 174
virtual, 175
Weight, 40
unit, 40
Work, 165,354
real, 165
virtual, 185
NAME INDEX
Abel, Niels Henrik, 425,440,441
Abélard, Pierre (Petrus Abaelardus), 53
Abraham, R., 745
Abraham, R.H., 745
Achilles, 51
Adhémar, R.d’, 745
Afanasjeva, 67
Agostinelli, Cataldo, 745
Alberti, Leone Battista, 54
Alembert, Jean Baptiste leRond d’, 32,55,384,
388,413,720,745
Alexander the Great, 52
Al-Hosein ibn Abdallah ibn al-Hosein ibn Ali
Abu Ali al-Sheich al-Rais (Avicenna), 53
Almansi, Emilio, 722
Amaldi, Ugo, 754
Ames, J.S., 745
Ampère, André Marie, 56
Anastasiei, M., 755
Anaxagoras of Clazomene, 51
Anaximender, 51
Anaximenes, 51
Andelić, T., 745
Andonie, George Şt., 745
Andreescu, D., 756
Andronov, A., 745
Anosov, D.V., 745
Apollonius, Pergaeus (Pamphylia), 53
Appel, Paul-Émile, 56,455,456,745
Archimedes, 52,252
Archytas of Tarentum, 52,53
Arcy, Paul d’, 55
Argyris, J., 745
Aristotle of Stageira, 52,53,54
Armellini, G., 567
Arnold, V.I., 745
Aron, I.I., 756
Arouet, François Marie (Voltaire), 55
Atanasiu, Mihai, 746,760,762
Atkin, R.H., 746
Atwood, George, 56
Avez, A., 746
Babakov, L.M., 746
Babitsky, V.I., 746
Babuška, Ivo, 746
Bacon, Francis, 54
Bacon, Roger, 53
Baer, Karl Ernst Ritter von, 647,649,650
Baker, G.L., 746
Baker Jr., R.M.L., 746
Balmer, Johann Jakob, 593
Banach, Stephan, 746
Barbu, L., 759
Barbu, Viorel, 746
Barenblatt, G.L., 746
Barnsley, M.F., 746
Bat, M.I., 746
Bălan, Ştefan, 746,762
Beju, Iulian, 746
Belenkiĭ, I.M., 746
Bellet, D., 746
Bellman, R., 746
Beltrami, Enrico, 746
Benedetti, Giovani Battista, 54
Berezkin, E.N., 746
Berge, P., 747
Bergman, P.G., 747
Bernoulli, Daniel, 55
Bernoulli, Jacques (Jacob), 55
Bernoulli, Jean (Johannes), 55
Bernousson Jr., 747
Bertrand, Joseph Louis François, 72,473,476, 543
Bessel, Wilhelm Friedrich, 743
Béghin, H., 747
Biezeno, G.B., 747
Binet, Jacques Phillipe Marie, 56,469,470,473, 480
Birkhoff, Georg David, 747
Bishop, A.R., 747
Blitzer, L., 748
Boerner, H., 747
Boggio, Tomaso, 723
Bogolyubov (Bogoliuboff), Nikolaĭ Nikolaevich,
538,747,753
Bohr, Niels Henrik David, 590
Bolotin, V.V., 747
Boltzmann, Lothar, 747
Boltzmann, Ludwig Eduard, 57
Bone, J., 747
Bonnet, Ossian, 442
Borelli, Giovanni Alfonso, 54
77 1
772
Born, Max, 747
Borş, Constantin, 747
Boucher, M., 747
Bouligand, Georges, 747
Bourlet, C.E.E., 747
Bradbury, T., 747
Bradwardine, Thomas, 53
Brahe, Tycho, 54, 543
Bratu, Polidor, 747,763
Brădeanu, D., 747
Brădeanu, Petre, 747
Brelot, M., 747
Bricard, R., 747
Bridgman, Percy Williams, 67,68
Brillouin, L., 747
Broglie, Louis Victor Pierre Raymond, prince de, 57
Brot, M.A., 752
Brousse, Pierre, 747
Brown, J.L., 400
Bruneleschi, Filippo, 53
Bruno, Giordano, 54
Buckingham, 67
Budó, A., 747
Bukholts, N.N., 747
Bulgakov, B.V., 747
Buridan, Jean, 53
Burileanu, Ştefan, 747
Burlacu, L., 755
Butenin, N.V., 747
Butterfield, H., 747
Buzdugan, Gheorghe, 747,751,760
Cabannes, Henri, 747
Caldonazzo, B., 748
Campanella, Tomaso, 54
Capelli, A., 265
Cardan, Girolamo, 54,325,349
Carnot, Lazare Nicolas Marguerite, 56,613,614
Carnot, Nicolas Léonard Sadi, 56
Cartan, Élie, 708,748
Carus, Lucretius, 52
Cauchy, Augustin Louis, 70,73,83,140,365,461,
738
Cavendish, Henry, 41,546
Cayley, Arthur, 748
Celsius, Anders, 65
Chaikin, C., 745
Chaplygin, Sergei Alekseevich, 56,748
Charcosset, 63
Charlier, C.L., 748
Chasles, Michel, 6,317,318
Chazy, Jean, 47,748
Chebyshev, Pafnutiĭ L’vovich, 345
Chetaev, N.G., 748
Chevilliet, 657
Chiroiu, Călin, 748
Chiroiu, Veturia, 748,755
Chow, S.N., 748
Christoffel, E.B., 364,450,704,705
Chua, L.O., 757
Ciofoaia, Vasile, 701
Clairaut, Alexis Claude, 55,452,643
Coe, C.J., 748
Coleman, Bernard, 57
Collatz, Lothar, 748
Commandin, Frederico, 54
Conti, R., 759
Copernicus, Nicholas, 12,631
Coppel, W.A., 748
Corben, H.C., 748
Coriolis, Gustav Gaspard, 56,332,615,629,647,
649, 650,651
Coulomb, Charles-Augustin, 55,195,396,506
Courant, Richard, 748
Crandall, S.H., 748
Crăciun, Eduard Marius, 748
Crede, C.E., 751
Cremona, Luigi, 269
Ctesibios, 52
Culmann, Carl, 156,274
Curtu, Ioan, 761
Curtu, R., 748
Cushing, J.T., 748
Darboux, Gaston Jean, 208,315,748
Dautheville, S., 745
Davidson, M., 748
Davis Jr., L., 748
Deciu, Eugen, 758
Delassus, E., 748
Demko, S.G., 746
Democritus of Abdera, 52
Descartes, René, 54
Destouches, J.L., 748
Devaney, R., 748
Dicke, 642
Dincă, Florea, 748
Dirac, Paul Adrien Maurice, 19,57
Djanelidze, G.Yu., 746
Doblaré, M., 748
Dobronravov, V.V., 748
Dolapčev, Blagovest, 749
Donescu, Ştefania, 748,755
Dragnea, Ovidiu, 749
Dragoş, Lazăr, 584,749
Draper, C.S., 749
Drăganu, Mircea, 749
Drâmbă, Constantin, 749
Drobov, 467
Duffing, G., 535,748
Dugas, R., 749
Duhamel, Jean-Marie-Constant, 524
Dühring, Eugen, 56
Dvor’nkov, A.L., 748
Eckhaus, W., 748,749
Eddington, A.S., 749
Edgar, G.A., 749
Ehrenfest, 67
MECHANICAL SYSTEMS, CLASSICAL MODELS
Name index
773
Einstein, Albert, 5,49,57,372,575,626
El Naschie, M.S., 749
Emmerson, J.Mc L.,749
Eötvös, Loránd, 56,626,642
Epicur, 52
Eratostenes of Cyrene, 52
Eringen, A. Cemal, 749
Euclid, 52,703
Euctemon, 51
Eudoxus of Cnidus, 52
Euler, Leonhard, 55,285,356,363,413,442,445,
446,447,448,749
Fahrenheit, Gabriel Daniel, 65
Falconer, K.J., 749
Falk, G., 749
Faust, G., 745
Federman, 67
Fermat, Pierre, 54
Fernandez, M., 749
Fertis, D.G., 749
Feshbach, H., 755
Fetcu, Lucia, 747
Feynman, R.P., 749
Fillipov, A.P., 749
Filon of Byzantium, 52
Finkelshtein, G.M., 749
Finzi, Bruno, 749
Fischer, Ugo, 749
Florian, V., 758
Follin, Jr., J.M., 748
Fomin, S.V., 750
Fontana, Nicolo (Tartaglia), 54
Foucault, Jean Bernard Léon, 56,651,652,655,
658
Fouret, 442,457
Fourier, Jean Baptiste Joseph, 56,501,733
Fowler, 593
Föppl, August, 749
Frank, N.H., 760
Frank, Ph., 749
French, A., 750
Frenet, Frédéric Jean, 205,206,207,315
Fresnel, Augustin Jean, 501
Frère Gabriel-Marie (F.G.-M.), 749
Frobenius, 180
Froude, 70,73,534
Fues, E., 756
Fufaev, N.A., 755
Gabos, Zoltan, 750
Galerkin, Boris Gr’gorevich, 538
Galileo, Galilei, 45,48,54,353,365,370,371,426,
548,624,625,750
Gallavotti, G., 750
Gantmacher, F., 750
Garthe, 659
Gauss, Carl Friedrich, 56,209,551,726
Gelfand, I.M., 750
Georgescu, A., 750
Gerber, 242
Germain, Paul, 750
Gibbs, Josiah Dixon Willard, 57,750
Gilmore, R., 750
Gioncu, Victor, 750
Giorgi, 44
Girard, A., 750
Glashow, Samuel, 44
Gleick, J., 750
Godbillon, C., 750
Goldstein, H., 750
Gollub, J.P., 746
Golubev, V.V., 750
Golubitsky, M., 750
Gordon, I., 745
Graffi, Dario, 750
Grahn, R., 752
Gramm, 85
Grammel, R., 747,750,763
Gray, A., 750
Grebenikov, E.A., 750
Green, George, 523,727
Greenhill, A.G., 439,750
Greenwood, D.T., 750
Griffith, B.A., 761
Gross, Daniel, 44
Grumăzescu, Mircea, 760
Gruner, G., 747
Grübler, M., 759
Guckenheimer, J., 750
Guillemin, V., 750
Guldin, Paul (Habakuk), 53,54,121,122
Gumowski, I., 750
Gurel, O., 750
Gutzwiller, M.C., 751
Haase, M., 745
Habets, P., 759
Haikin, S.E., 745,751
Hakan, H., 751
Halanay, Aristide, 751
Hale, J.K., 748,751
Halley, Edmund, 577
Halliday, D., 751
Halphen, Georges Henri, 439,751
Hamburger, Leon, 751
Hamel, Georg, 56,751
Hamilton, William Rowan, 56,711,751
Hammermesh, M., 751
Hangan, Sanda, 751
Hao, B.L., 751
Harris, C.M., 751
Hartog Den, J.P., 751
Hassard, B.D., 751
Hasselblatt, B., 752
Hayashi, C., 751
Heaviside, 21
Heisenberg, Werner Karl, 57
Helleman, R.H.G., 751,752
774
Helmholtz, Hermann Ludwig Ferdinand von, 56,
740
Hemming, G., 751
Henneberg, 269
Henon, M., 751
Heraclit of Efes, 51
Herglotz, G., 751
Hermann, Jacob, 55
Hermite, Charles, 439
Herodotus, 51
Heron of Alexandria, 52
Hertz, Heinrich Rudolf, 56,177,588,751
Hilbert, David, 748
Hill, George William, 535
Hirsch, M.W., 751
Hlavaček, V., 751
Holden, A.V., 751
Holmes, P., 750
Hooke, Robert, 55
Horovka, J., 749
Hort, W., 751
Hospital, Guillaume Francis de l’, 55
Hunt, G.W., 761
Hurwitz, Adolf, 56
Huseyin, K., 751
Huygens, Christian, 55,158,159,160,434,751
Hypparchus of Rhodes, 52
Hypsicles of Alexandria, 52
Iacob, Andrei, 751
Iacob, Caius, 584,751
Iakovenko, G.N., 758
Ille, Vasile, 761
Ioachimescu, Andrei G., 751,752
Ionescu-Pallas, Nicolae, 752
Iooss, G., 746,752
Irimiciuc, Nicolae, 754
Irwin, M.C., 752
Isaacson, N., 752
Ishlinskiĭ, A.Yu., 752
Ivanov, I., 746
Jacobi, Carl Gustav Jacob, 56,752
Jammer, M., 752
Janssens, P., 752
Jansson, P.-A., 752
Jaunzemis, W., 752
Jeffreys, B.S., 752
Jeffreys, W., 752
Joannes Philiponus (Grammaticus) of
Alexandria, 53
Joos, G., 752
Jordan of Namur (Jordanus Nemorarius), 53
Joseph, D.D., 746,752
Jukovskiĭ, Nikolai Egorovich, 752
Julia, Gaston, 752
Jung, G., 752
Jurgen, H., 757
Kahan, Theo, 752
Kamerlingh Onnes, Heike, 658
Kamke, E., 752
Kantorovich, L.V., 752
Kapitaniak, T., 752
Kapli, D.M., 756
Kasner, E., 752
Katok, A., 752
Kauderer, H., 752
Kazarinoff, N.D., 751
Kármán, Theodor von, 752
Kästner, S., 752
Kecs, Wilhelm, 108,281,753
Keller, H.B., 752,753
Kellog, O.D., 753
Kelzon, A.S., 746
Kepler, Johannes, 54,55,72,543,544,562,564,
566,631
Khanukaev, Yu.I., 758
Kilchevski (Kilcevski), N.A., 753
Kirchhoff, Gustav Robert, 522,753
Kirpichev, Viktor L’vovich, 71,753
Kittel, Ch., 753
Klein, Felix, 56,753
Knight, W.D., 753
Kochin, Nikolaĭ Evgrafovich, 753
Koçak, H., 751
Koenig, Samuel, 55
Kolman, B., 759
Kooy, J.M.J., 753
Koppernigk, Niklas (Nicholaus Copernicus), 53
Koshlyakov, V.N., 753
Kosmodemyanskiĭ, A.A., 753
Kranz, C., 753
Krbek, F., 753
Krebs, Nikolaus (Nicolaus Cusanus), 53
Kron, G., 753
Kronecker, Leopold, 80,265,625
Krukowski, Sonya (Kovalevsky, Sophia;
Kovalevskaya, Sof’ya Vasil’evna), 56,753
Krylov, Vladimir Ivanovich, 752
Kuiper, G.P., 753
Kutterer, R.E., 753
Kuzimenkov, I.S., 757
Kuznetsov, Y.A., 753
Lagrange, Joseph-Louis, 34,56,83,138,186,219,
227,356,364,384,445,447,457,459,753
Lakhtin, L.M., 753
Laloy, M., 759
Lamb, H., 753
Lamé, Gabriel, 703
Lampariello, G., 754
Land, 157
Landau, Lev Davidovich, 754
Langevin, Paul, 410
Lantsosh, K., 754
Lapin, A.S., 686
Laplace, Pierre Simon de, 55,719,735,736
MECHANICAL SYSTEMS, CLASSICAL MODELS
Name index
775
Lecornu, L., 754
Leech, J.W., 754
Lefschetz, S., 754
Leibnitz, Gottfried Wilhelm, 55
Leimanis, E., 754
Leipholz, H., 754
Lejeune-Dirichlet, Peter Gustav, 56,219,457,
459,501
Lenz, 557,561
Leontovich, E., 745
Le Verrier, Urbain Jean-Joseph, 547
Levi-Civita, Tullio, 56,458,660,661,662,754
Liénard, 400,466
Lifshitz, E., 754
Lindsay, R.B., 754
Liouville, Joseph, 56
Lippmann, Horst, 754
Lipschitz, Rudolf, 365
Lissajous, Jules Antoine, 503
Littlewood, D.E., 754
Loft, E.E., 756
Loitsyanski, L.G., 754
Lomonosov, Mikhail Vasilievich, 55
Lomont, J.S., 754
Lorentz, Hendrick Anton, 57
Luca-Motoc, D., 761
Lurie, Anatoli I., 754
Lyapunov, Aleksandr Mikhailovich, 56,536,754
Lyubarskiĭ, G.Ya., 754
Mach, Ernst, 56,754
Macke, W., 754
Maclaurin, Colin, 55,459,698
Macmillan, W.D., 754
Macomber, G.R., 749
Madan, R., 754
Magnus, K., 754
Maier, A., 745
Ma Kim, 53
Malbranche, Nicole, 55
Malkin, I.G., 754
Malvern, L.E., 754
Mandel, Jean, 754
Mandelbrot, B.B., 754
Mandelstam, S., 763
Mangeron, Dumitru, 750,754
Marchyuk, G.Z., 754
Marcolongo, Roberto, 754,755
Marcus Vitruvius Pollio, 52
Marinca, V., 756
Marion, J.B., 755
Marsden, J., 745
Mathieu, E., 535
Maunder, L., 746
Maupertuis, Pierre Louis Moreau de, 55
Mawhin, J., 758
Maxwell, James Clerk, 56,63,269
McCracken, M., 755
Meirovich, I., 755
Melo, W. de, 757
Mercheş, I., 754
Mercier, A., 755
Merkin, D.N., 755
Mersenne, Marin, 54
Meshcherskiĭ, Ivan Vselovod, 56,660,661,662,
663,665,668,684,689,755
Meton, 51
Meusnier de la Place, Jean Baptiste Marie
Charles, 210,285
Michelson, Albert Abraham, 49,57
Mihăilescu, E., 747
Mihăilescu, Mircea, 754
Miller, Dayton Clarence, 49
Miller Jr., W., 755
Milne, E.A., 755
Minkowski, Hermann, 57
Minorsky, N., 755
Mira, C., 750
Miron, Radu, 755
Mises, Richard von, 479
Mitropolskiĭ (Mitropolsky), Yu.A., 538,747,755
Mo Tsy, 51
Mohammed ibn Ahmed ibn Mohammed ibn
Roshd Abu Velid (Averroes), 53
Mohammed ibn Mohammed ibn Tarkhan ibn
Auzlag Abu Nasr al Farrabi, 53
Mohr, Otto, 150,156,157
Monge, Gaspard, 55
Moon, F.C., 755
Moreau, J.J., 755
Morel, J., 747
Morgenstern, D., 755
Morley, Edward William, 49,57
Morse, P.M., 755
Moses ben Maimum (Maimonides), 53
Mourre, L., 755
Munteanu, Ligia, 748,755
Munteanu, M., 755
Murnaghan, F.D., 745,755
Muszyńska, Agnieszka (Agnes), 756
Naimark, M., 755
Naumov, A.L., 755
Nayfeh, A.H., 755
Neimark, Ju.I., 755
Nekrasov, A.I., 756
Nelson, W.C., 756
Newbull, H.O., 756
Newton, Isaac sir, 45,48,55,71,72,73,353,365,
370,384,388,543,544,546,548,550,553,555,
577,599,624,625,662,730,756
Nguyen, Quoc-son, 756
Nguyen, Van Hieu, 756
Nicolaenko, B., 747
Nicolescu, Miron, 721
Nicolis, G., 756
Nicomachus of Gerasa, 53
Nicorovici, Nicolae-Alexandru, 761
Nielsen, J., 756
Nikitin, E.M., 756
La Salle, J.P., 754
La Valée-Poussin, Charles Jean, 754