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Ball R.S. — A Treatise on the Theory Screws |
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Предметный указатель |
Accelerating Screw-chain 409
Accelerator in a 2-system 420
Address to British Association 496
Amplitude of a Twist defined 11
Angle between two Screws 276
Angle between two Screws in a 3-system 204
Anharmonic property of Homographic Systems 266
Anharmonic property, fundamental 113
Appell on Cylindroid 29 535
Association, British, address to 496
Axioms of the Content 435 448 451
Axis of inertia 123
Axis, Homographic 127
Axis, Principal properties of 260 400
Battaglini 20 34 249 518 519 520
Biquaternions 521
Bolyai 521
Bonok 439
British Association, address to 496
Buchheim 433 522 528
Budde 533
Bumside, Prof.W.S. 281
Burnside, Prof.W. 522 533
Canonical, Co-reciprocals 38
Canonical, Co-reciprocals, Displacement of Rigid Body 7
Canonical, Co-reciprocals, System of Forces on Rigid Body 10
Caporali 539
Cardinaal 539
Cartesian, Equation of Cylindroid 19 224
Cartesian, Equations of Screw 39
Casey 30 495
Cayley 20 433 509 511 514 522 527 533
Chains, Screw, Harmonic 395
Chains, Screw, Homography of 373
Chains, Screw, Impulsive and Instantaneous 392
Chains, Screw, Principal of Inertia 394
Chains, Screw, Theory of 367
Chasles 1 4 510 511 512 514 524
Chawner 75 531 536
Chiastic Homography 306 307
Circle, Representing Cylindroid 45
Clifford 433 464 509 521 525 527 528 536
Co-ordinates, of a Rigid Body 355
Co-ordinates, of a Screw 31 36
Co-ordinates, of a Twist or Wrench 34
Co-ordinates, of Impulsive Screw 356
Co-ordinates, of Restraining Wrench-chain 407
Co-reciprocal Screws 33 38 335
Coefficient, Virtual 17 18
Complex, linear 17 20
Composition of Twists and Wrenches 16 18
Composition of Vectors 473
Cone, Reciprocal to a Cylindroid 27
Conic, The Pitch- 24 204
Conjugate Screw-chains of Inertia 396
Conjugate Screws, of Inertia 71 299
Conjugate Screws, of Potential 89
Conjugate Screws, of Quadratic n-system 240
Conoid of Plucker 20
Constraints 63 64 119
Contact of Conic and Cubic 490
Content defined 433
Content, Axioms of the 435 448 451
Correspondence 383
Corresponding Screw-systems 271
Cox, Homersham 522 527
Cubic equation in 3-system 492
Cylindroid, Chiastic Homography on 307
Cylindroid, Constants necessary to define a 68
Cylindroid, Defined by two Screws 20
Cylindroid, Discovery of by Hamilton 510 520
Cylindroid, Drawing of Plane section 154
Cylindroid, Dynamical property discovered by Battaglini 20
Cylindroid, Equation of 19 224
Cylindroid, Equation of Central Section 166
Cylindroid, Equation of Plane Section 152
Cylindroid, Fundamental property 25
Cylindroid, Geometrical investigation of 146 150
Cylindroid, Hyperbola in triple contact 164
Cylindroid, Impulsive and Instantaneous 112
Cylindroid, Models of 150 530
Cylindroid, Name suggested by Cayley 20
Cylindroid, Nodal line upon 24
Cylindroid, Normal 308
Cylindroid, Parabola related to Plane Section 156
Cylindroid, Permanent Screw on 422
Cylindroid, Principal Screws on 21 43
Cylindroid, Reducing to a plane 23
Cylindroid, Relation between two 108
Cylindroid, Remarkable geometrical property 535
Cylindroid, Represented by a Circle 45
Cylindroid, Represented by a Straight line 199
Cylindroid, Restraining Screw on 419
Cylindroid, Tangential section of 60
Cylindroid, Three-system 180
Degrees of certain Surfaces 242
Departure denned 448
Differential equation for Kinetic Energy 356
Displacement, canonical form of 1
Double Screws 264 309
Dyname, correspondence of 383
Dyname, defined 274
Dyname, Parallel Projections of 382
Dynamical parable, a 496
D’Alembert 520
D’Emilio 528
Elliott 532
Ellipse of Inertia 114
Ellipse of Potential 116
Ellipsoid of inertia 187
Emanants 274 275 408 469
Enclosing Screw Systems defined 233
Energy, Expression for 296
Energy, Kinetic, Emanant equation of 405
Equations, Linear Systems of 67
Equilibrium of Four Forces 186
Equilibrium of Four Forces, general theorem of 64
Euler 83 231 406 520 527
Everett 26 522 523
Expression for 443
Expression for Invariants of Eight Screws 260
Extent defined 434
Fiedler 524
Forces in Non-Euclidian Space 480
Forces in Theory of Screws 11
Freedom, various degrees of 63
Fundamental problem with free body 336
Geiser 513
Geometrical Theory of Impulsive and Instantaneous Screws 322
Goebel 151
Grace 495
Grassman 509 515
Gravelius 531 532
Grubb(Sir H.) 150 151
Halphen 522
Halsted 439
Hamilton (Sir W.R.) 509 510 512 515 517 521 537
Harmonic motion 99
Harmonic Screws 94 106 118 133 193 397
Heath 452 465 522 527
Henrici 532
Heteronymous Vectors 475 480
Homography, Chiastic 306 309
Homography, Double points 126 127 342
Homography, of Content 415
Homography, Screw Systems 262
Homography, Screw-chains 370 393
Hyde 531
Hyperbola in triple contact with Cylindroid 164
Impulsive Screws, Chains 392
| Impulsive Screws, Cylindroid 112
Impulsive Screws, Defined 71
Impulsive Screws, Fundamental formulae 298
Impulsive Screws, Theory of two pairs 325
Inertia, Axis of 123
Inertia, Conjugate Screw-chains 395
Inertia, Conjugate Screws 71
Inertia, Ellipse of 114
Inertia, Ellipsoid of 187
Inertia, Principal Screw-chains of 394
Inertia, Principal Screws of 69
Inertia, Principal Screws on Cylindroid 114
Inertia, Principal Screws on Five-system 252
Inertia, Principal Screws on Four-system 230
Inertia, Principal Screws on Three-system 188
Infinite Pitch, Screws of 22 39
Infinity, Screws at 291
Instantaneous Screws 71
Instantaneous Screws, Chains 392
Instantaneous Screws, Definition 10
Intensity of a Wrench defined 11
Intervene defined 434
Invariants, Pitch 289
Involution, meaning of 249
Joly 30 178 182 390 492 522 534 537 538 539
Kinetic Energy, Differential Equation for 356
Kinetic Energy, Expression for 296
Kinetic Energy, Property of 401
Klein 17 18 33 34 241 249 286 433 439 517 518 520 521 533
Kotelnikof 522 535
kronecker 531
Kummer 517
Lagrange 76 96 97 98 395 406 489
Law Prize Examination 537
Lewis 46 151
Lindemann 433 523
Linear complex 20
Linear Equations, note on 67
Lobachevsky 521
Lornoff 531
MacAulay (F.S.) 437
Manchester, address at 496
Mannheim 45 513 519 521 522 533
Mass-chains 367
Minchin 151 529
mobius 31 102 248 255 511 512 524
Models of Cylindroid 150 530
Motion, Equations of, in Screw-chain Coordinates 405
Motor defined 477
M’Aulay (Alex.) 37 84 522 536
Non-Euclidian Space 433
Normal Cylindroids 308
Notation, fundamental 11
Object, Definition of 433
Octonions 536
Orthogonal transformation 280 465
Oscillations about a fixed point 194
Oscillations, Screw-chain 397
Padeletti 522 526 527
Panton 244
Parable, a Dynamical 496
Parabola in contact with Cylindroid 158
Parallel Projections 379
Parameters of a Screw-System 65
Pascal line 307
Pectenoid 255
Permanent Screw-chains 410
Permanent Screw-chains, Cylindroid 422
Permanent Screw-chains, Definition 399
Permanent Screw-chains, Different Degrees of Freedom 432
Permanent Screw-chains, Equations of 421
Permanent Screw-chains, Geometrical Construction for 427
Pitch, Axis of 46
Pitch, Co-reciprocals 282
Pitch, Conic 24 204 210
Pitch, Coordinates 36
Pitch, Definition of 7
Pitch, infinite 22 39
Pitch, Invariant 289 294
Pitch, Non-Euclidian Space 478 527
Pitch, on Cylindroid 20
Pitch, Quadrics 227
Pitch, Stationary 221
Plane representative, Cylindroid 45
Plane representative, Dynamical problems 120
Plane representative, Three-System 197
Planes, Four imaginary, in 3-system 202
Plucker 17 20 34 150 177 249 274 515 516 517 520 524 531
Poinsot 4 297 510 511 513 524 536
poisson 536
Polar Screw 238 241
Potential 87
Potential, Conjugate Screws of 89
Potential, Ellipse of 116
Potential, Principal Screws of 90
Principal Axis of a Rigid Body 260 400
Principal Screws of Inertia 69
Principal Screws of Inertia, Chains 394
Principal Screws of Inertia, Five-System 252
Principal Screws of Inertia, Four-System 230
Principal Screws of Inertia, on a Cylindroid 114
Principal Screws of Inertia, Three-System 188 207
Principal Screws of Potential 90
Principal Screws on Cylindroid 21 43
Projections, Parallel 379
Quadratic Screw-Systems 233
Quadric of Potential 192
Quadric, The Pitch- 172
Quadrics in Three-System 173
Quaternions 30 512 515
Range defined 434
Reaction of Constraints 64
Reality of the Principal Screws of Inertia 77
Reciprocal Screws, Chains 288
Reciprocal Screws, Cylindroid 37
Reciprocal Screws, Defined 26
Reciprocal Screws, Property of 347
Reciprocal Screws, System 63
Reduced Wrench 84
Rene de Saussure 536
Representation of Cylindroid in a Plane 45
Resal 521
Resolution of Twists and Wrenches 31
Restraining Screw-chain 407
Restraining Screw-chain, Coordinates 314
Restraining Screw-chain, Cylindroid 419
Restraining Screw-chain, Locus 416
Restrictions on Forces 11
Restrictions on Forces, Movement 13
Ribaucour 513
Rittershaus 524
Roberts, R.A. 530
Rodrigues 17 512
Roubadi 535
Routh 76 98 484 533
Salmon 76 495 524 532
Saussure, M.Rene de 10
Schell 525
Schilling 530
Schonemann 513
Schonflies 529
Screw Systems 62
Screw Systems, Correspondence in 271
Screw Systems, Homographic 262
Screw Systems, of Fifth order 246
Screw Systems, of First order 101
Screw Systems, of Fourth order 218
Screw Systems, of Second order 107
Screw Systems, of Sixth order 258
Screw Systems, of Third order 170
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