Elements of Natural Philosophy, Volume 1 |
From inside the book
Results 1-5 of 48
Page 10
... proportional to the square of the velocity and also to the curvature of the path . The former of these changes the velocity , the other affects only the form of the path , or the direction of motion . Hence if a moving point be subject ...
... proportional to the square of the velocity and also to the curvature of the path . The former of these changes the velocity , the other affects only the form of the path , or the direction of motion . Hence if a moving point be subject ...
Page 11
... 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 ( §§ 66 , 78 ) ...
... 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 ( §§ 66 , 78 ) ...
Page 12
... proportional to the times employed . This includes the case of a satellite or planet revolving about its primary , according to Kepler's first law . Evidently there is no acceleration perpendicular to the plane con- taining the fixed ...
... proportional to the times employed . This includes the case of a satellite or planet revolving about its primary , according to Kepler's first law . Evidently there is no acceleration perpendicular to the plane con- taining the fixed ...
Page 13
... proportional to the times ; for , as we have seen , the moment of the velocity is double the area traced out by the radius - vector in unit of time . 48. Hence in this case the velocity at any point is inversely as the perpendicular ...
... proportional to the times ; for , as we have seen , the moment of the velocity is double the area traced out by the radius - vector in unit of time . 48. Hence in this case the velocity at any point is inversely as the perpendicular ...
Page 14
... the circle again in Z. Then YS SZ is constant , and therefore SZ is inversely as SF , that is , SZ is proportional to the velocity at P. Also 1 Proc . R. S. 1865 . SZ is perpendicular to the direction of motion PY , 14 PRELIMINARY .
... the circle again in Z. Then YS SZ is constant , and therefore SZ is inversely as SF , that is , SZ is proportional to the velocity at P. Also 1 Proc . R. S. 1865 . SZ is perpendicular to the direction of motion PY , 14 PRELIMINARY .
Other editions - View all
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