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Ball R.S. — A Treatise on the Theory Screws
Ball R.S. — A Treatise on the Theory Screws



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Название: A Treatise on the Theory Screws

Автор: Ball R.S.

Аннотация:

A Treatise on the Theory of Screws is the definitive reference on screw theory. It gives a very complete geometrical treatment of the problems of small movements in rigid dynamics. In recent years the theory of screws has emerged as a novel mathematical resource for addressing complex engineering problems, with important applications to robotics, multibody dynamics, mechanical design, computational kinematics, and hybrid automatic control.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1900

Количество страниц: 544

Добавлена в каталог: 25.03.2006

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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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