Elements of Natural Philosophy, Part 1 |
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Page 8
... according as it increases or diminishes , but the word acceleration is generally used in either sense , on the understanding that we may regard its quantity as either positive or negative : and ( § 34 ) is farther generalized so as to ...
... according as it increases or diminishes , but the word acceleration is generally used in either sense , on the understanding that we may regard its quantity as either positive or negative : and ( § 34 ) is farther generalized so as to ...
Page 17
... according to the inverse square of the distance from the centre . Hence the rate at which a planet receives heat and light from the sun varies in simple proportion to the angular velocity of the radius - vector . Hence the whole heat ...
... according to the inverse square of the distance from the centre . Hence the rate at which a planet receives heat and light from the sun varies in simple proportion to the angular velocity of the radius - vector . Hence the whole heat ...
Page 19
... according to preceding rules . 68. The following practical methods of effecting such a com- bination in the simple case of the movements of two points are useful in scientific illustrations and in certain mechanical arrange- ments . Let ...
... according to preceding rules . 68. The following practical methods of effecting such a com- bination in the simple case of the movements of two points are useful in scientific illustrations and in certain mechanical arrange- ments . Let ...
Page 26
... according to the principle of the composition of motions , the geometrical resultant of the displacements due to the component motions separately , these component displacements in the case sup- posed , all vary in simple proportion to ...
... according to the principle of the composition of motions , the geometrical resultant of the displacements due to the component motions separately , these component displacements in the case sup- posed , all vary in simple proportion to ...
Page 37
... according to the same law as velocities , and therefore the single angular velocity , equivalent to three co - existent angular velocities about three mutually perpendicular axes , is determined in magnitude , and the direction of its ...
... according to the same law as velocities , and therefore the single angular velocity , equivalent to three co - existent angular velocities about three mutually perpendicular axes , is determined in magnitude , and the direction of its ...
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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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Page 69 - a viribus impressis cogitur statum suum mutare. Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
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