Elements of Natural Philosophy |
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Page 10
... axes - each component acceleration being found by the same rule as component velocities ( § 34 ) , that is , by multiply- ing by the cosine of the angle between the direction of the accelera tion and the line along which it is to be ...
... axes - each component acceleration being found by the same rule as component velocities ( § 34 ) , that is , by multiply- ing by the cosine of the angle between the direction of the accelera tion and the line along which it is to be ...
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 27
... 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 32
... axes , it finally takes a position to which it could have been brought by a simple translation per pendicular 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 per pendicular to the lines of the body in its initial or final position , which were successively made axes of rotation ; and inclined to ...
Page 33
... axes of the cylinders being parallel to the fixed line . 101. As an interesting example of this theorem , let us recur to the case of § 96 : -A circle may evidently be circumscribed about OBQA ; and it must be of invariable magnitude ...
... axes of the cylinders being parallel to the fixed line . 101. As an interesting example of this theorem , let us recur to the case of § 96 : -A circle may evidently be circumscribed about OBQA ; and it must be of invariable magnitude ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called 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 particle path pendulum perpendicular plane perpendicular portion position 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 tion torsion uniform unit vertical weight whole wire