Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page xii
... perpendicular to the Resultant Axis -Terrestrial Application - Rate of doing work - Horse- power - Energy in Abstract Dynamics 238-241 242-270 SECTIONS Conservative System - Foundation of the Theory of Energy- xii CONTENTS .
... perpendicular to the Resultant Axis -Terrestrial Application - Rate of doing work - Horse- power - Energy in Abstract Dynamics 238-241 242-270 SECTIONS Conservative System - Foundation of the Theory of Energy- xii CONTENTS .
Page 5
... perpendicular to their plane in the direction from 0 , such that OL , OL ' , OS lie in the same relative order in space as the positive axes of co - ordinates , OX , OY , OZ . Let OQ bisect LOL ' , and let OR bisect the angle between OL ...
... perpendicular to their plane in the direction from 0 , such that OL , OL ' , OS lie in the same relative order in space as the positive axes of co - ordinates , OX , OY , OZ . Let OQ bisect LOL ' , and let OR bisect the angle between OL ...
Page 6
... perpendicular to the osculating plane drawn in the direc- tion relatively to PT and PC , corresponding to that of OZ relatively to OX and OY . Then , using ( 8 ) and ( 9 ) , with ( 7 ) , in ( 5 ) and ( 6 ) respectively , we have λ dx d ...
... perpendicular to the osculating plane drawn in the direc- tion relatively to PT and PC , corresponding to that of OZ relatively to OX and OY . Then , using ( 8 ) and ( 9 ) , with ( 7 ) , in ( 5 ) and ( 6 ) respectively , we have λ dx d ...
Page 13
... , eastward , and up- ward velocities - these being called the components of the whole velocity in the three mutually perpendicular directions N , E , and up . In general the velocity of a point at x , 24. ] 13 KINEMATICS .
... , eastward , and up- ward velocities - these being called the components of the whole velocity in the three mutually perpendicular directions N , E , and up . In general the velocity of a point at x , 24. ] 13 KINEMATICS .
Page 15
... the velocity along , and perpendicular to , the radius vector . We may obtain the same result thus , x = r cos 0 , y = r sin 0 . Composi- tion of velocities . dx dr Hence = cos 26. ] 15 KINEMATICS . Composition of Velocities.
... the velocity along , and perpendicular to , the radius vector . We may obtain the same result thus , x = r cos 0 , y = r sin 0 . Composi- tion of velocities . dx dr Hence = cos 26. ] 15 KINEMATICS . Composition of Velocities.
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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.