Treatise on Natural Philosophy, Part 1University Press, 1886 - Calculators |
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Page 2
... instant the tangent drawn to its path , if the path be a curve , or the path itself if a straight line . 5. If the path be not straight the direction of motion changes from point to point , and the rate of this change , per unit of ...
... instant the tangent drawn to its path , if the path be a curve , or the path itself if a straight line . 5. If the path be not straight the direction of motion changes from point to point , and the rate of this change , per unit of ...
Page 11
... instant ; or it may be variable . Uniform velocity is measured by the space passed over in unit of time , and is , in general , expressed in feet per second ; if very great , as in the case of light , it is sometimes popularly reckoned ...
... instant ; or it may be variable . Uniform velocity is measured by the space passed over in unit of time , and is , in general , expressed in feet per second ; if very great , as in the case of light , it is sometimes popularly reckoned ...
Page 12
... instant of the interval . Or again , we define the exact velocity at any instant as the space which the point would have described in one second , if for one second its velocity remained unchanged . That there is at every instant a ...
... instant of the interval . Or again , we define the exact velocity at any instant as the space which the point would have described in one second , if for one second its velocity remained unchanged . That there is at every instant a ...
Page 18
... instant . 32. In other words , if a point move in a curve , whether with a uniform or a varying velocity , its change of direction is to be regarded as constituting an acceleration towards the centre of curvature , equal in amount to ...
... instant . 32. In other words , if a point move in a curve , whether with a uniform or a varying velocity , its change of direction is to be regarded as constituting an acceleration towards the centre of curvature , equal in amount to ...
Page 19
... instant , or simply its rectangular components , be given , provided the velocity and direction of motion , as well as the position , of the point at any one instant , be given . For we have in the first case 2 dx = U = q cos a , etc ...
... instant , or simply its rectangular components , be given , provided the velocity and direction of motion , as well as the position , of the point at any one instant , be given . For we have in the first case 2 dx = U = q cos a , etc ...
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Common terms and phrases
acceleration action altered angular velocity anticlastic application 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 dy dy dy dz 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 Laplace's equation length moving P₁ parallel parallelepiped particle perpendicular polygon position principal axes 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 whole x₁ y₁ αξ λ² аф