Treatise on Natural Philosophy, Volume 1, Part 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 Free rotation of a Body kinetically symmetrical about an axis Communication of ...
... Position of the Body due to given Rotations • Most general Motion of a Rigid Body Precessional Rotation - Model illustrating Precession of Equi- noxes Free rotation of a Body kinetically symmetrical about an axis Communication of ...
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 ...
... 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 ...
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 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.