Treatise on Natural Philosophy (Two Volumes in One)In this groundbreaking two-volume textbook, presented here in one volume and first published in 1867, Lord Kelvin and Peter Guthrie Tait offer a unified scientific explanation of the physical world through the laws of energy. They defined much of what today is considered physics, covering such realms as liquid motion, instantaneous velocity, and the motion of a rigid body around a fixed point. From simple movement to fluid dynamics, the authors provide readers with the necessary science and mathematics to describe complex systems of motion. Irish scientist, engineer, and author LORD WILLIAM THOMSON KELVIN (1824-1907) is considered a foundational thinker of modern physics. He invented the Kelvin temperature scale and also helped develop the first transatlantic telegraph cable. Scottish physicist PETER GUTHRIE TAIT (1831-1901) was educated at Cambridge. Among his writings is the scientific and religious text The Unseen Universe (1901). |
Contents
| 1 | |
| 75 | |
StrainDefinition of Homogeneous StrainProperties of | 118 |
Displacement of a Body rigid or not one point of which | 130 |
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 AExtension of Greens Theorem | 167 |
Lagranges Equations of Motion in terms of Generalized | 307 |
Kinetic StabilityConservative disturbance of motionKi | 426 |
EXPERIENCE | 440 |
MEASURES AND INSTRUMENTS | 457 |
APPENDIX B CONTINUOUS CALCULATING MACHINES | 479 |
An Integrating Machine having a New Kinematic PrincipleDisk | 490 |
Mechanical Integration of Linear Differential Equations of | 498 |
Harmonic AnalyzerTidal Harmonic AnalyzerSecondary ter | vii |
Conservation of Energy 278 279 | 251 |
Momental EllipsoidEquilibration of Centrifugal Forces | 264 |
Deduction of the Equations of Motion of any SystemInde | 271 |
ImpactTimeintegralBallistic PendulumDirect Impact | 294 |
TwistEstimation of Integral Twist in a Plane Curve | xxii |
110118 | 130 |
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Common terms and phrases
action algebraic altered angle angular velocity anticlastic application attraction axis centre of inertia circle co-ordinates coefficients condition configuration constant corresponding course curvature curve cycloidal cylinder degrees of freedom denote density determined differential equation displacement distance dT dT dx dy dy dz dynamical ellipsoid equal equations of motion equilibrium Example expression finite fixed fluid force friction function geometrical given gravity gyrostatic Hence homoeoid impulse infinitely small integral kinetic energy Lagrange's Laplace's equation linear mass momentum moving negative notation P₁ parallel parallelepiped particle perpendicular position potential energy principal axes principle problem quadratic quadratic function quantity radius ratio rectangular resultant rigid body roots rotation round simple harmonic simple harmonic motions solid solid harmonic solution space spherical harmonic spherical surface strain suppose theorem tion values vanish whole y₁ zero