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. |
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 |