Elements of Natural Philosophy, Volume 1 |
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Page 4
... simple ; although curious , and not always very easy , geometrical problems occur in connexion with it . We shall say nothing here about such cases as knots , knitting , weaving , etc. , as being exces- sively difficult in their general ...
... simple ; although curious , and not always very easy , geometrical problems occur in connexion with it . We shall say nothing here about such cases as knots , knitting , weaving , etc. , as being exces- sively difficult in their general ...
Page 7
... simple question , ' What is the rate at which the space described by a moving point increases ? ' i . e . What is the velocity of the moving point ? Newton's notation for the velocity , i , e . the rate at which s increases , or the ...
... simple question , ' What is the rate at which the space described by a moving point increases ? ' i . e . What is the velocity of the moving point ? Newton's notation for the velocity , i , e . the rate at which s increases , or the ...
Page 16
... simple proportion to the angular velocity of the radius - vector . Hence the whole heat and light received by the planet in any time is pro- portional to the whole angle turned through by its radius - vector in the same time . 61. A ...
... simple proportion to the angular velocity of the radius - vector . Hence the whole heat and light received by the planet in any time is pro- portional to the whole angle turned through by its radius - vector in the same time . 61. A ...
Page 18
... simple example , two trains are running in opposite directions , say north and south , one with a velocity of fifty , the other of thirty , miles an hour . The relative velocity of the second with regard to the first is to be found by ...
... simple example , two trains are running in opposite directions , say north and south , one with a velocity of fifty , the other of thirty , miles an hour . The relative velocity of the second with regard to the first is to be found by ...
Page 19
... simple case of the movements of two points are useful in scientific illustrations and in certain mechanical arrange- ments . Let two moving points be joined by a uniform elastic string ; the middle point of this string will evidently ...
... simple case of the movements of two points are useful in scientific illustrations and in certain mechanical arrange- ments . Let two moving points be joined by a uniform elastic string ; the middle point of this string will evidently ...
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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.