Elements of Natural Philosophy, Volume 1 |
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Page 11
... gravity . In this case the space described in any interval is that which would be described in the same time by a point moving uniformly with a velocity equal to that at the middle of the interval . In other words , the average velocity ...
... gravity . In this case the space described in any interval is that which would be described in the same time by a point moving uniformly with a velocity equal to that at the middle of the interval . In other words , the average velocity ...
Page 54
... given to it . Force may be of divers kind , as pressure , or gravity , or friction , or any of the attractive or repulsive actions of electricity , magnetism , etc. 184. The three elements specifying a force , or the 54 PRELIMINARY .
... given to it . Force may be of divers kind , as pressure , or gravity , or friction , or any of the attractive or repulsive actions of electricity , magnetism , etc. 184. The three elements specifying a force , or the 54 PRELIMINARY .
Page 55
... gravity is a force of which the place of application is the whole matter of the body whose weight is considered ; and the smallest particle of matter that has weight occupies some finite portion of space . Thus it is to be remarked ...
... gravity is a force of which the place of application is the whole matter of the body whose weight is considered ; and the smallest particle of matter that has weight occupies some finite portion of space . Thus it is to be remarked ...
Page 56
... gravity on the body , in gravitation units , is W. 186. According to the common system followed in modern mathe- matical treatises on dynamics , the unit of mass is g times the mass of the standard or unit weight . This definition ...
... gravity on the body , in gravitation units , is W. 186. According to the common system followed in modern mathe- matical treatises on dynamics , the unit of mass is g times the mass of the standard or unit weight . This definition ...
Page 57
... gravity will be g = 32.088 × 1 · 00513 = 32.252 . 188. As gravity does not furnish a definite standard , independent of locality , recourse must be had to something else . The principle of measurement indicated as above by Newton , but ...
... gravity will be g = 32.088 × 1 · 00513 = 32.252 . 188. As gravity does not furnish a definite standard , independent of locality , recourse must be had to something else . The principle of measurement indicated as above by Newton , but ...
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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 cloth co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance elements ellipse ellipsoid elongation equal equations equilibrium external point Extra fcap finite 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 Natural Philosophy normal section Oxford P₁ parallel particle path pendulum perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular resultant 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 theory tion torsion uniform unit vertical whole wire
Popular passages
Page 161 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.
Page 65 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.
Page 28 - Fourier's theorem is not only one of the most beautiful results of modern analysis, but may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics.
Page 161 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.
Page 66 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Page 68 - To every action there is always an equal and contrary reaction; or, the mutual actions of any two bodies are always equal and oppositely directed in the same straight line.
Page 130 - UNTIL we know thoroughly the nature of matter and the forces which produce its motions, it will be utterly impossible to submit to mathematical reasoning the exact conditions of any physical question.