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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Results 1-5 of 64
Page ix
... Harmonic Motions in one Line 62 Composition of S. H. M. in different directions , including Composition of two Uniform Circular Motions • 63-74 Fourier's Theorem 75-77 Displacements of a Plane Figure in its Plane - Composition.
... Harmonic Motions in one Line 62 Composition of S. H. M. in different directions , including Composition of two Uniform Circular Motions • 63-74 Fourier's Theorem 75-77 Displacements of a Plane Figure in its Plane - Composition.
Page x
William Thomson, Peter Guthrie Tait. Displacements of a Plane Figure in its Plane - Composition of Rotations about Parallel Axes - Composition of Rota- tions and Translations in One Plane - Superposition of Small Motions - Rolling of ...
William Thomson, Peter Guthrie Tait. Displacements of a Plane Figure in its Plane - Composition of Rotations about Parallel Axes - Composition of Rota- tions and Translations in One Plane - Superposition of Small Motions - Rolling of ...
Page xi
... Displacement - Tan- gential Displacement of a Closed Curve - Rotation of a Rigid Closed Curve - Tangential Displacement in a Solid , in terms of Components of Strain - Heterogeneous Strain -Homogeneous Strain - Infinitely small Strain ...
... Displacement - Tan- gential Displacement of a Closed Curve - Rotation of a Rigid Closed Curve - Tangential Displacement in a Solid , in terms of Components of Strain - Heterogeneous Strain -Homogeneous Strain - Infinitely small Strain ...
Page xii
... Displacement - For two Forces , Motions , Ve- locities , or Momentums , in one Plane , the Sum of their Moments proved equal to the Moment of their Resultant round any point in that Plane - Any number of Moments in one Plane compounded ...
... Displacement - For two Forces , Motions , Ve- locities , or Momentums , in one Plane , the Sum of their Moments proved equal to the Moment of their Resultant round any point in that Plane - Any number of Moments in one Plane compounded ...
Page xv
... Displacements from Equilibrium - Theorem of Kinetic Energy - Of Potential Energy - Infinitesimal Motions in neighbourhood of Configuration of Unstable Equilibrium Case of Equality among Periods - Graphic Representation- Dissipative ...
... Displacements from Equilibrium - Theorem of Kinetic Energy - Of Potential Energy - Infinitesimal Motions in neighbourhood of Configuration of Unstable Equilibrium Case of Equality among Periods - Graphic Representation- Dissipative ...
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