Elements of Natural Philosophy |
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Page 12
... angle , OAC , between the focal distance of a point and the diameter through it . А 45. When the acceleration , whatever ( and however varying ) be its magnitude , is directed to a fixed point , the path is in a plane passing through ...
... angle , OAC , between the focal distance of a point and the diameter through it . А 45. When the acceleration , whatever ( and however varying ) be its magnitude , is directed to a fixed point , the path is in a plane passing through ...
Page 16
... angle described in unit of time ; if variable , by the angle which would have been described in unit of time if the angular velocity at the instant in question were maintained constant for so long . In this respect the process is ...
... angle described in unit of time ; if variable , by the angle which would have been described in unit of time if the angular velocity at the instant in question were maintained constant for so long . In this respect the process is ...
Page 17
... angle - vector in the orbit , i . e .. to the angle through which the tangent to PQ has turned . Hence ( $ 9 ) the curvature of PQ is constant , or PQ is a circle . This demonstration , reversed , proves that if the hodograph be a ...
... angle - vector in the orbit , i . e .. to the angle through which the tangent to PQ has turned . Hence ( $ 9 ) the curvature of PQ is constant , or PQ is a circle . This demonstration , reversed , proves that if the hodograph be a ...
Page 18
... angle of tan . It is needless to multiply such examples , as they must occur to every one . 64. Exactly the same remarks apply to relative as compared with absolute acceleration , as indeed we may see at once , since accelera- tions are ...
... angle of tan . It is needless to multiply such examples , as they must occur to every one . 64. Exactly the same remarks apply to relative as compared with absolute acceleration , as indeed we may see at once , since accelera- tions are ...
Page 22
... angle equal to their difference of epochs ; and of epoch differing from their epochs by angles equal to those which this diagonal makes with the two sides of the parallelogram . Let P and P be two points executing simple harmonic ...
... angle equal to their difference of epochs ; and of epoch differing from their epochs by angles equal to those which this diagonal makes with the two sides of the parallelogram . Let P and P be two points executing simple harmonic ...
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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 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 vibrations weight whole wire