Treatise on Natural Philosophy

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CUP Archive, Nov 6, 2015 - 568 pages
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Contents

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
StrainDefinition of Homogeneous StrainProperties of
118
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
Integral CurvatureCurvatura integraHorographChange
136
Deduction of the Equations of Motion of any SystemInde
271
Moment of an Impact about an AxisBallistic Pendulum
282
General Theorem of Fundamental Modes of infinitely small
338
Kinetics of a perfect fuidEffect of a Rigid Plane on
340
Characteristic FunctionCharacteristic Equation of Motion
354
Slightly disturbed EquilibriumSimultaneous Transformation
364
EXPERIENCE
369
Infinitely small Motion of a Dissipative SystemCycloidal
384

Equation of ContinuityIntegral Equation of Continuity
148
Freedom and ConstraintOf a Pointof a Rigid BodyGeo
154
APPENDIX Ag Expression in Generalized Coordinates for Poissons
160
APPENDIX A Extension of Greens Theorem
167
DYNAMICAL LAWS AND PRINCIPLES
219
Conservation of Energy 278 279
251
Momental EllipsoidEquilibration of Centrifugal Forces
264
mental Oscillations similarly dealt with by Solution
408
Kinetic StabilityConservative disturbance of motionKi
427
MEASURES AND INSTRUMENTS
457
APPENDIX B CONTINUOUS CALCULATING MACHINES
479
An Instrument for calculating S x + x dx the Integral of
493
Mechanical Integration of the general Linear Differential Equation
500

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