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Page v
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Page xi
... Strain -- Definition of Homogeneous Strain - Properties of Ho- mogeneous Strain - Strain Ellipsoid - Change of Volume --Axes of a Strain - Elongation and Change of Direction of any Line of the Body - Change of Plane in the Body- Conical ...
... Strain -- Definition of Homogeneous Strain - Properties of Ho- mogeneous Strain - Strain Ellipsoid - Change of Volume --Axes of a Strain - Elongation and Change of Direction of any Line of the Body - Change of Plane in the Body- Conical ...
Page 115
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Page 116
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Page 117
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Contents
PRELIMINARY | 1 |
Displacements of a Plane Figure in its PlaneComposition | 78 |
Most general Motion of a Rigid Body 102 | 102 |
Free rotation of a Body kinetically symmetrical about an axis | 108 |
Flexible and Inextensible SurfaceFlexure of inextensible | 114 |
TwistEstimation of Integral Twist in a Plane Curve | 119 |
Surface rolling on Surface without spinning | 125 |
Displacement of a Body rigid or not one point of which | 128 |
Conservation of Energy | 251 |
280 281 | 263 |
Deduction of the Equations of Motion of any SystemInde | 271 |
Moment of an Impact about an AxisBallistic Pendulum | 282 |
Lagranges Equations of Motion in terms of Generalized | 304 |
General Theorem of Fundamental Modes of infinitely small | 338 |
Kinetics of a perfect fluidEffect of a Rigid Plane on | 340 |
Characteristic FunctionCharacteristic Equation of Motion | 354 |
Integral CurvatureCurvatura integraHorographChange | 136 |
Equation of ContinuityIntegral Equation of Continuity | 148 |
Freedom and ConstraintOf a PointOf a Rigid BodyGeo | 154 |
APPENDIX A Expression in Generalized Coordinates for Poissons | 160 |
APPENDIX A Extension of Greens Theorem | 167 |
DYNAMICAL LAWS AND PRINCIPLES | 219 |
Resolution of ForcesEffective Component of a Force | 231 |
Virtual VelocityVirtual Moment | 250 |
Slightly disturbed EquilibriumSimultaneous Transformation | 362 |
Case of Equality among PeriodsGraphic Representation | 366 |
Infinitely small Motion of a Dissipative SystemCycloidal | 384 |
Kinetic StabilityConservative disturbance of motionKi | 428 |
EXPERIENCE | 440 |
MEASURES AND INSTRUMENTS | 457 |
APPENDIX B CONTINUOUS CALCULATING MACHINES | 479 |
Mechanical Integration of the general Linear Differential Equation | 500 |
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Common terms and phrases
acceleration according action actual altered amount angle application axes axis becomes body called Cambridge centre circle co-ordinates coefficients complete component condition configuration consider constant corresponding course curvature curve denote described determined differential direction displacement distance edition equal equations equilibrium Example expression finite fixed force function give given harmonic Hence inertia infinitely small initial instant integral kinetic energy length less mass matter mean measured motion moving natural negative observations parallel particle particular passing path period perpendicular plane position present principal problem produced proportional proved quantity reference relative remain remarkable respectively resultant rigid rolling roots rotation round side simple solution space spherical strain suppose surface tangent theorem tion turn unit values whole