Elements of Natural Philosophy, Volume 1 |
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Page 10
... axes - each component acceleration being found by the same rule as component velocities , that is , by multiplying by the cosine of the angle between the direction of the acceleration and the line along which it is to be resolved . 38 ...
... axes - each component acceleration being found by the same rule as component velocities , that is , by multiplying by the cosine of the angle between the direction of the acceleration and the line along which it is to be resolved . 38 ...
Page 11
... axes is proportional to its dis- tance from that axis , the path is an ellipse or hyperbola whose principal diameters coincide with those axes ; and the acceleration is directed to or from the centre of the curve at every instant ...
... axes is proportional to its dis- tance from that axis , the path is an ellipse or hyperbola whose principal diameters coincide with those axes ; and the acceleration is directed to or from the centre of the curve at every instant ...
Page 25
... axes , and describing , by the radius - vector from the centre , equal areas in equal times . 83. Returning to the composition of any number of equal simple harmonic motions in lines in all directions and of all phases : each component ...
... axes , and describing , by the radius - vector from the centre , equal areas in equal times . 83. Returning to the composition of any number of equal simple harmonic motions in lines in all directions and of all phases : each component ...
Page 26
... axes , and in which equal areas are described by the radius - vector from the centre in equal times . Hence the proposition of § 80 . 84. We must next take the case of the composition of simple harmonic motions of different kinds and in ...
... axes , and in which equal areas are described by the radius - vector from the centre in equal times . Hence the proposition of § 80 . 84. We must next take the case of the composition of simple harmonic motions of different kinds and in ...
Page 31
... axes , it finally takes a position to which it could have been brought by a simple translation perpendicular to the lines of the body in its initial or final position , which were successively made axes of rotation ; and inclined to ...
... axes , it finally takes a position to which it could have been brought by a simple translation perpendicular to the lines of the body in its initial or final position , which were successively made axes of rotation ; and inclined to ...
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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