Treatise on Natural Philosophy

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Contents

PRELIMINARY
1
Displacements of a Plane Figure in ita 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
127
Resolution of ForcesEffective Component of a Force 227
227
Geometrical Theorem preliminary to Definition of Centre
233
Newtons Laws of MotionFirst LawRestTimeEx
242
Conservation of Energy 278 279
251
Momenta EllipsoidEquilibration of Centrifugal Forces
264
EquilibriumPrinciple of Virtual VelocitiesNeutral Equi
289
Moment of an Impact about an AxisBallistic Pendulum
307
General Theorem ol Fundamental Modes of infinitely small
338

Analogy between Lines and Surfaces as regards Curvature
138
Equation of ContinuityIntegral Equation of Continuity
148
Freedom and ConstraintOf a PointOf a Rigid BodyGeo
154
ArrENmx A Expression in Generalized Coordinates for Poissons
160
ArrENDix A Extension of Groens Theorem
171
ForceSpecification of a ForcePlace of ApplicationDirec
217
Kinetics of a perfect fluidEffect of a Rigid Plane on
346
Characteristic FunctionCharacteristic Equation of Motion
354
Slightly disturbed EquilibriumSimultaneous Transformation
364
Infinitely Bmall Motion of a Dissipative SystemCycloidal
384
Kinetic StabilityConservative disturbance of motionKi
427

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