Elements of Natural Philosophy, Volume 1 |
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Page 2
... unit of length of the curve , is called the Curvature . To exemplify this , suppose P T U two tangents PT , QU , drawn to a circle , and radii OP , OQ , to the points of contact . The angle between the tangents is the change of ...
... unit of length of the curve , is called the Curvature . To exemplify this , suppose P T U two tangents PT , QU , drawn to a circle , and radii OP , OQ , to the points of contact . The angle between the tangents is the change of ...
Page 3
... unit length of the curve . The simplest illustration of a tortuous curve is the thread of a screw . Compare § 41 ( d ) . 14. The Integral Curvature , or whole change of direction , of an arc of a plane curve , is the angle through which ...
... unit length of the curve . The simplest illustration of a tortuous curve is the thread of a screw . Compare § 41 ( d ) . 14. The Integral Curvature , or whole change of direction , of an arc of a plane curve , is the angle through which ...
Page 6
... unit velocity a point describes unit of space in unit of time . 25. It is well to observe here , that since , by our formula , we have generally $ v = t and since nothing has been said as to the magnitudes of s and t , we may take these ...
... unit velocity a point describes unit of space in unit of time . 25. It is well to observe here , that since , by our formula , we have generally $ v = t and since nothing has been said as to the magnitudes of s and t , we may take these ...
Page 9
... unit of time . If we choose as the unit of acceleration that which adds a unit of velocity per unit of time to the velocity of a point , an acceleration measured by a will add a units of velocity in unit of time — and , therefore , at units ...
... unit of time . If we choose as the unit of acceleration that which adds a unit of velocity per unit of time to the velocity of a point , an acceleration measured by a will add a units of velocity in unit of time — and , therefore , at units ...
Page 13
... unit of time . 48. Hence in this case the velocity at any point is inversely as the perpendicular from the fixed point to the tangent to the path or the momentary direction of motion . For the product of this perpendicular and the ...
... unit of time . 48. Hence in this case the velocity at any point is inversely as the perpendicular from the fixed point to the tangent to the path or the momentary direction of motion . For the product of this perpendicular and the ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centimetre centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance ellipse ellipsoid elongation equal equations equilibrium external point finite fixed point flexure fluid forces acting friction geometrical given force Hence hodograph horizontal infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ P₂ parallel parallelogram of forces particle path pendulum perpendicular plane perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular right angles rigid body rotation round shear shell sides simple harmonic motion solid angle space spherical surface spiral square straight line strain stress suppose tangent theorem theory tion torsion uniform unit vertical whole wire