Treatise on Natural PhilosophyThis work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. |
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Page x
... Surface rolling on Surface ; both traces given Surface rolling on Surface without spinning Examples of Tortuosity and Twist - SECTIONS 78-94 . 95-101 • 102 , 103 104--107 108 109 . 110-118 Curvature of Surface - Synclastic and Anticlastic ...
... Surface rolling on Surface ; both traces given Surface rolling on Surface without spinning Examples of Tortuosity and Twist - SECTIONS 78-94 . 95-101 • 102 , 103 104--107 108 109 . 110-118 Curvature of Surface - Synclastic and Anticlastic ...
Page xi
... Surface - Surface of constant Specific Cur- vature - Geodetic Triangles on such a Surface . Strain -- Definition of Homogeneous Strain - Properties of Ho- mogeneous Strain - Strain Ellipsoid - Change of Volume --Axes of a Strain ...
... Surface - Surface of constant Specific Cur- vature - Geodetic Triangles on such a Surface . Strain -- Definition of Homogeneous Strain - Properties of Ho- mogeneous Strain - Strain Ellipsoid - Change of Volume --Axes of a Strain ...
Page xvi
... Surface - Incommensurable Oscillations - Oscil- latory Kinetic Stability - Limited Kinetic Stability- Kinetic Stability of a Projectile - General criterion - Ex- amples - Motion of a Particle on an anticlastic Surface , unstable ; -on a ...
... Surface - Incommensurable Oscillations - Oscil- latory Kinetic Stability - Limited Kinetic Stability- Kinetic Stability of a Projectile - General criterion - Ex- amples - Motion of a Particle on an anticlastic Surface , unstable ; -on a ...
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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