Treatise on Natural Philosophy

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CUP Archive, Oct 27, 2022 - History - 564 pages

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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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