Treatise on Natural Philosophy, Volume 1, Issue 1At the University Press, 1879 - Mechanics, Analytic |
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Page vi
... position 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 .
... position 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 x
... Position of the Body due to given Rotations Most general Motion of a Rigid Body Precessional Rotation - Model illustrating Precession of Equi- noxes • · SECTIONS 78-94 95-101 · 102 , 103 104-107 • Free rotation of a Body kinetically ...
... Position of the Body due to given Rotations Most general Motion of a Rigid Body Precessional Rotation - Model illustrating Precession of Equi- noxes • · SECTIONS 78-94 95-101 · 102 , 103 104-107 • Free rotation of a Body kinetically ...
Page xi
... Position of Lines of no Elongation - Simple Shear - Axes of a Shear - Measure of a Shear - Ellipsoidal specification of a Shear - Analysis of a Strain Displacement of a Body , rigid or not , one point of which is held fixed Analysis of ...
... Position of Lines of no Elongation - Simple Shear - Axes of a Shear - Measure of a Shear - Ellipsoidal specification of a Shear - Analysis of a Strain Displacement of a Body , rigid or not , one point of which is held fixed Analysis of ...
Page 4
... positions of it con- tain the second side of the polygon above mentioned , it is evident that the osculating plane passes from one position to the next by revolving about the tangent to the curve . 9. Thus , as we proceed along such a ...
... positions of it con- tain the second side of the polygon above mentioned , it is evident that the osculating plane passes from one position to the next by revolving about the tangent to the curve . 9. Thus , as we proceed along such a ...
Page 19
... position , the determination of the form of the path described , and of other circumstances of the motion , is a question of pure mathematics , and in all cases is capable , if not of an exact solution , at all events of a solution to ...
... position , the determination of the form of the path described , and of other circumstances of the motion , is a question of pure mathematics , and in all cases is capable , if not of an exact solution , at all events of a solution to ...
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Common terms and phrases
acceleration according action actual altered amount angle angular velocity 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 instant integral kinetic energy length less mass matter mean measured motion moving natural negative observations parallel particle particular path period perpendicular plane position present principle problem produced proved quantity radius reference relative remain remarkable respectively resultant rigid rolling roots rotation round side simple solution space spherical strain suppose surface tangent theorem tion turn unit University values whole
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.