Elements of Natural Philosophy, Volume 1 |
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Page 1
... divided into two parts , which are conveniently called STATICS and KINETICS . 3. In Statics the action of force in maintaining rest , or preventing change of motion , the balancing of forces , ' or Equilibrium , is investigated ; in ...
... divided into two parts , which are conveniently called STATICS and KINETICS . 3. In Statics the action of force in maintaining rest , or preventing change of motion , the balancing of forces , ' or Equilibrium , is investigated ; in ...
Page 3
... divided by its length . Suppose a line , drawn through any fixed point , to turn so as always to be parallel to the direction of motion of a point describing the curve : the angle through which this turns during the motion of the point ...
... divided by its length . Suppose a line , drawn through any fixed point , to turn so as always to be parallel to the direction of motion of a point describing the curve : the angle through which this turns during the motion of the point ...
Page 6
... divided by the time ; and , the less the interval is , the more nearly does the average velocity coincide with the actual velocity at any instant of the interval . Or again , we define the exact velocity at any instant as the space ...
... divided by the time ; and , the less the interval is , the more nearly does the average velocity coincide with the actual velocity at any instant of the interval . Or again , we define the exact velocity at any instant as the space ...
Page 9
... divided by the time . In Newton's notation & is used to express the acceleration in the direction of motion ; and , if vs as in § 28 , we a = v = 8 . have 34. But there is another form in which acceleration may manifest itself . Even if ...
... divided by the time . In Newton's notation & is used to express the acceleration in the direction of motion ; and , if vs as in § 28 , we a = v = 8 . have 34. But there is another form in which acceleration may manifest itself . Even if ...
Page 10
... divided by the radius of cur- vature . The whole acceleration will , in every case , be the resultant of the acceleration thus measuring change of direction and the ac- celeration of actual velocity along the curve . 40. If for any case ...
... divided by the radius of cur- vature . The whole acceleration will , in every case , be the resultant of the acceleration thus measuring change of direction and the ac- celeration of actual velocity along the curve . 40. If for any case ...
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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.