Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
From inside the book
Results 1-5 of 74
Page vii
... Theorem , and a treatise on the remarkable functions known as Laplace's Co- efficients . There can be but one opinion as to the beauty and utility of this analysis of Laplace ; but the manner in which it has been hitherto presented has ...
... Theorem , and a treatise on the remarkable functions known as Laplace's Co- efficients . There can be but one opinion as to the beauty and utility of this analysis of Laplace ; but the manner in which it has been hitherto presented has ...
Page ix
... in one Line 58-61 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.
... in one Line 58-61 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
... Theorem - Euler's Theorem - Definition of Line of Curvature - Shortest Line between two points on a Surface Spherical Excess - Area of Spherical Polygon - Reciprocal Polars on a Sphere - Integral change of direction in a Surface ...
... Theorem - Euler's Theorem - Definition of Line of Curvature - Shortest Line between two points on a Surface Spherical Excess - Area of Spherical Polygon - Reciprocal Polars on a Sphere - Integral change of direction in a Surface ...
Page xi
... Co - ordinates for Poisson's Extension of Laplace's Equation . APPENDIX A. - Extension of Green's Theorem . APPENDIX B. - Spherical Harmonic Analysis . CHAPTER II . - DYNAMICAL LAWS AND PRINCIPLES . Ideas CONTENTS . xi.
... Co - ordinates for Poisson's Extension of Laplace's Equation . APPENDIX A. - Extension of Green's Theorem . APPENDIX B. - Spherical Harmonic Analysis . CHAPTER II . - DYNAMICAL LAWS AND PRINCIPLES . Ideas CONTENTS . xi.
Page xii
... Theorem preliminary to Definition of Centre of Inertia Centre of Inertia . 229 , 230 Moment - Moment of a Force about a Point - Moment of a Force about an Axis • 231 , 232 233 234 Digression on Projection of Areas Couple - its Moment ...
... Theorem preliminary to Definition of Centre of Inertia Centre of Inertia . 229 , 230 Moment - Moment of a Force about a Point - Moment of a Force about an Axis • 231 , 232 233 234 Digression on Projection of Areas Couple - its Moment ...
Contents
| 231 | |
| 250 | |
| 251 | |
| 264 | |
| 271 | |
| 282 | |
| 303 | |
| 340 | |
| 102 | |
| 108 | |
| 114 | |
| 119 | |
| 125 | |
| 128 | |
| 136 | |
| 148 | |
| 154 | |
| 160 | |
| 167 | |
| 219 | |
| 354 | |
| 361 | |
| 366 | |
| 384 | |
| 392 | |
| 428 | |
| 440 | |
| 454 | |
| 479 | |
| 490 | |
| 498 | |
Other editions - View all
Common terms and phrases
acceleration action algebraic altered angular velocity anticlastic application axis Cambridge centre of inertia circle co-ordinates coefficients component condition configuration constant corresponding course curvature curve cycloidal cylinder denote determined differential equation direction cosines displacement distance dt dt dx dy dy dy dy dz ellipsoid elongation equal equations of motion equilibrium expression finite fixed force formula function geometrical given gyrostatic harmonic motions Hence impulse infinitely small instant integral kinetic energy length linear momentum moving negative osculating plane P₁ parallel particle perpendicular polygon position principal axes quadratic quadratic function quantity radius ratio rectangular resultant right angles rigid body rolling roots rotation round shear simple harmonic simple harmonic motions solution spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values whole Y₁ λ² аф
Popular passages
Page 241 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.