a treatise on the theory of screws

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Inhalt

The canonical form of a Small Displacement
9
CHAPTER II
15
General Property of the Cylindroid
22
Particular Instances
22
CHAPTER V
45
The Axis of Pitch
51
The Angle between Two Screws
53
Another Representation of the Pitch
59
CHAPTER XVIII
258
EMANANTS AND PITCH INVARIANTS
274
Analogy to Orthogonal Transformation
280
Identical Formulæ in a Coreciprocal Systein
286
Expression for the Pitch
292
Conditions to be fulfilled by Two Pairs of Impulsive and Instantaneous Screws
298
A Geometrical Proof
306
CHAPTER XXII
322

Parameters of a Screw System
65
Impulsive Screws and Instantaneous Screws
71
Enumeration of Constants
78
Expression for Kinetic Energy
80
CHAPTER VIII
87
CHAPTER IX
94
Remark on Harmonic Screws
100
FREEDOM OF THE SECOND ORDER
107
Equilibrium
111
Reaction of Constraints
114
CHAPTER XII
120
The Kinetic Energy
133
Determination of the Homographic Axis
139
Work done by a Twist
141
A Special Case
145
Another Investigation of the Cylindroid
159
Application to the Plane Section
165
Relation between the Impulsive Screw and the Instantaneous Screw
168
a given Impulse
170
Screws through a Given Point
176
Determination of a Cylindroid
180
Equilibrium of Four Forces applied to a Rigid
186
Kinetic Energy acquired by an Impulse
189
Principal Screws of the Potential
192
Wrench evoked by Displacement
195
The Screws of the ThreeSystem
201
Reciprocal Screws
207
CHAPTER XVI
218
Applications of the TwoSystem
225
Application of Eulers Theorem
231
CHAPTER XVII
246
The Geometrical Theory of Three Pairs of Screws
330
Fundamental Problem with Free Body
336
Third and Higher Systems
342
Systems of the Fourth Order
348
CHAPTER XXIII
355
Impulsive and Instantaneous Cylindroids
361
Introduction
367
CHAPTER XXV
399
Limitation to the position of the Restraining Screw
416
The Permanent Screw
422
Calculation of Permanent Screws in a Threesystem
428
The Intervene
434
Another Process
441
Another Investigation of the possibility of Equally Graduated Ranges
447
Representation of Objects by Points in Space
453
PAGE
461
472
466
Proof that U and I have Four Common Generators
467
Verification of the Invariance of Intervene
468
Application of the Theory of Emanants
469
The Vector in Orthogonal Coordinates
470
Parallel Vectors i
472
The Composition of Vectors
473
Geometrical proof that Two Homonymous Vectors compound into One Homonymous Vector
475
Geometrical proof of the Law of Permutability of Heteronymous Vectors 430 Determination of the Two Heteronymous Vectors equivalent to any gi...
476
43 The Pitch of a Motor 432 Property of Right and Left Vectors
478
The Conception of Force in NonEuclidian Space 434 Neutrality Neutrality of Heteronymous Vectors
480
Notes on various points II A Dynamical Parable
496
BIBLIOGRAPHICAL NOTES
510
INDEX
540
476
541

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Seite 512 - Treatise on the Theory of Screws (gr. 8°, 26 chapt., 544 p., 50 fig. and 3 plates; 18 sh.). Cambridge, University press, 1900. — Since the author's celebrated publication ,,The Theory of Screws: A study in the Dynamics of a Rigid Body...

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