Elements of Natural Philosophy |
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Page 2
... measured by the relation between this angle and the length of the circular arc PQ . Now , if 0 be the angle , s the arc , and the radius , we see at once that ( as the angle between the radii is equal to the angle between the tangents ...
... measured by the relation between this angle and the length of the circular arc PQ . Now , if 0 be the angle , s the arc , and the radius , we see at once that ( as the angle between the radii is equal to the angle between the tangents ...
Page 3
... measured as above ; but in a curve which is not plane the third side of the polygon will not be in the same plane with the first two , and therefore the new plane in which the curvature is to be measured is different from the old one ...
... measured as above ; but in a curve which is not plane the third side of the polygon will not be in the same plane with the first two , and therefore the new plane in which the curvature is to be measured is different from the old one ...
Page 4
... measured along the line from any one point to any other , remains constant , however the line be bent . 17. The use of a cord in mechanism presents us with many practical applications of this theory , which are in general extremely ...
... measured along the line from any one point to any other , remains constant , however the line be bent . 17. The use of a cord in mechanism presents us with many practical applications of this theory , which are in general extremely ...
Page 6
... measured by the space passed over in unit of time , and is , in general , expressed in feet or in metres per second ; if very great , as in the case of light , it may be measured in miles per second . It is to be observed that Time is ...
... measured by the space passed over in unit of time , and is , in general , expressed in feet or in metres per second ; if very great , as in the case of light , it may be measured in miles per second . It is to be observed that Time is ...
Page 9
... measured by the actual increase of velocity per 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 ...
... measured by the actual increase of velocity per 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 ...
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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 cord corresponding 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 formulae friction geometrical given force Hence hodograph horizontal inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ parallel parallelogram particle path pendulum perpendicular plane perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular relative 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 tion torsion uniform unit vertical weight whole wire