Elements of Natural Philosophy, Part 1 |
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Page 8
... square root of the sum of their squares ; and the cosines of its inclination to the given directions are the ratios of the components to the resultant . 32. The velocity of a point is said to be accelerated or retarded according as it ...
... square root of the sum of their squares ; and the cosines of its inclination to the given directions are the ratios of the components to the resultant . 32. The velocity of a point is said to be accelerated or retarded according as it ...
Page 10
... 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 to an acceleration ...
... 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 to an acceleration ...
Page 14
... square of the periodic time [ in an elliptic orbit ] is pro- portional to the cube of the major axis . Sections 45-47 , taken in connexion with the second of these laws , show that the acceleration of the motion of a planet or comet is ...
... square of the periodic time [ in an elliptic orbit ] is pro- portional to the cube of the major axis . Sections 45-47 , taken in connexion with the second of these laws , show that the acceleration of the motion of a planet or comet is ...
Page 17
... square of the distance from this point . The same proposition is true for any path , when the acceleration is towards the point about which the angles are measured : being merely a different mode of stating the result of § 48 . 60. The ...
... square of the distance from this point . The same proposition is true for any path , when the acceleration is towards the point about which the angles are measured : being merely a different mode of stating the result of § 48 . 60. The ...
Page 37
... square of the resultant angular velocity is the sum of the squares of its components , and the ratios of the three components to the resultant are the direction - cosines of the axis . Hence also , an angular velocity about any line may ...
... square of the resultant angular velocity is the sum of the squares of its components , and the ratios of the three components to the resultant are the direction - cosines of the axis . Hence also , an angular velocity about any line may ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic applied attraction axes axis called Cambridge centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant corresponding cosine couple curvature curve cylinder Demy 8vo denote density described diagram displacement distance edition elastic ellipse ellipsoid elongation equal equations equilibrium external point fixed point fluid forces acting friction geometrical given force Hence hodograph inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal P₁ P₂ parallel parallelogram particle path pendulum perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned resultant right angles rigid body rotation round shear shell simple harmonic motion solid solid angle space spherical surface spiral square straight line strain suppose tangent torsion uniform unit University of Cambridge vertical whole wire
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