Treatise on Natural Philosophy, Volume 1At the University Press, 1888 - Mechanics, Analytic |
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Page vi
... of Restorers , and not of Inno- vators . In our introductory chapter on Kinematics , the consideration of Harmonic Motion naturally leads us to Fourier's Theorem , one of the most important of all analytical results as vi PREFACE .
... of Restorers , and not of Inno- vators . In our introductory chapter on Kinematics , the consideration of Harmonic Motion naturally leads us to Fourier's Theorem , one of the most important of all analytical results as vi PREFACE .
Page ix
... Harmonic Motion 52-57 Composition of Simple Harmonic Motions in one Line 58-61 Mechanism for compounding , and Graphical Representation of , Harmonic Motions in one Line 62 Composition of S. H. M. in different directions , including ...
... Harmonic Motion 52-57 Composition of Simple Harmonic Motions in one Line 58-61 Mechanism for compounding , and Graphical Representation of , Harmonic Motions in one Line 62 Composition of S. H. M. in different directions , including ...
Page xi
... Generalized 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.
... Generalized 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 xvii
... Harmonic Analyzer - Tidal Harmonic Analyzer - Secondary , ter- tiary , quaternary , etc. , tides , due to influence of shallow water . DIVISION I PRELIMINARY . CHAPTER I. - KINEMATICS . 1. CONTENTS . xvii.
... Harmonic Analyzer - Tidal Harmonic Analyzer - Secondary , ter- tiary , quaternary , etc. , tides , due to influence of shallow water . DIVISION I PRELIMINARY . CHAPTER I. - KINEMATICS . 1. CONTENTS . xvii.
Page 23
... harmonic curve if the acceleration be towards the plane , and a more or less fore - shortened catenary ( § 580 ) if from the plane . As in case c , d2z dt2 0 , perpendicular to at any instant . dz dt the acceleration and to the ...
... harmonic curve if the acceleration be towards the plane , and a more or less fore - shortened catenary ( § 580 ) if from the plane . As in case c , d2z dt2 0 , perpendicular to at any instant . dz dt the acceleration and to the ...
Contents
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Common terms and phrases
action altered angular velocity anticlastic B₁ Cambridge centre of inertia change of direction circle co-ordinates coefficients component condition configuration constant corresponding curvature curve cycloidal cylinder degrees of freedom Demy 8vo denote diagram differential equation direction cosines distance dt dt dx dy dx² dy dy dy dz edition ellipse ellipsoid elongation equal equations of motion equilibrium expression finite fixed fluid force function geodetic geometrical given gyrostatic Hence infinitely small initial integral kinetic energy length moving P₁ parallel parallelepiped particle perpendicular polygon position principal axes quadratic function quantity radius ratio rectangular right angles rigid body rolling roots rotation round shear simple harmonic simple harmonic motions simple shear solution spherical harmonic spherical surface strain suppose synclastic tangent plane theorem tion twist values Y₁ αξ λ² аф
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