Elements of Natural Philosophy, Volume 1 |
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Page 48
... matter of the body in a plane , cutting that of the diagram perpendicularly in CD , to move in this plane from right to left parallel to CD ; and in other planes parallel to it let there be motions proportional to their distances from 0 ...
... matter of the body in a plane , cutting that of the diagram perpendicularly in CD , to move in this plane from right to left parallel to CD ; and in other planes parallel to it let there be motions proportional to their distances from 0 ...
Page 49
... matter in any natural motion or action , the whole quantity of a fluid within any space at any time must be equal to the quantity originally in that space , increased by the whole quantity that has entered it , and diminished by the ...
... matter in any natural motion or action , the whole quantity of a fluid within any space at any time must be equal to the quantity originally in that space , increased by the whole quantity that has entered it , and diminished by the ...
Page 52
... matter , and of the forces which matter exerts . We have here- tofore assumed the existence merely of motion , distortion , etc .; we now come to the consideration , not of how we might consider such motion , etc. , to be produced , but ...
... matter , and of the forces which matter exerts . We have here- tofore assumed the existence merely of motion , distortion , etc .; we now come to the consideration , not of how we might consider such motion , etc. , to be produced , but ...
Page 53
... Matter . As will be presently explained , the unit mass most convenient for British measurements is an imperial pound of matter . 176. The Quantity of Motion , or the Momentum , of a rigid body moving without rotation is proportional to ...
... Matter . As will be presently explained , the unit mass most convenient for British measurements is an imperial pound of matter . 176. The Quantity of Motion , or the Momentum , of a rigid body moving without rotation is proportional to ...
Page 54
... Matter has an innate power of resisting external influences , so that every body , so far as it can , remains at rest , or moves uni- formly in a straight line . This , the Inertia of matter , is proportional to the quantity of matter ...
... Matter has an innate power of resisting external influences , so that every body , so far as it can , remains at rest , or moves uni- formly in a straight line . This , the Inertia of matter , is proportional to the quantity of matter ...
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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.