Elements of Natural Philosophy, Volume 1 |
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Page 4
... figure , it is ten right angles , wanting the sum of the five acute angles of the figure ; i . e . it is eight right angles . 16. A chain , cord , or fine wire , or a fine fibre , filament , or hair , may suggest , what is not to be ...
... figure , it is ten right angles , wanting the sum of the five acute angles of the figure ; i . e . it is eight right angles . 16. A chain , cord , or fine wire , or a fine fibre , filament , or hair , may suggest , what is not to be ...
Page 8
... figure ; where OA , for instance , represents in magni- tude and direction the space which would be described in one second by a point moving with the first of the given velocities - and similarly OB for the second ; from A draw AC ...
... figure ; where OA , for instance , represents in magni- tude and direction the space which would be described in one second by a point moving with the first of the given velocities - and similarly OB for the second ; from A draw AC ...
Page 13
... figure OABD . But ABD , a part of this figure , is equal to half the area of the parallelo- gram ; and therefore the remainder , OAD , is equal to the sum of the two half - mo- ments . But OAD is half the moment of the resultant ...
... figure OABD . But ABD , a part of this figure , is equal to half the area of the parallelo- gram ; and therefore the remainder , OAD , is equal to the sum of the two half - mo- ments . But OAD is half the moment of the resultant ...
Page 20
... figure . An arc of the circle referred to , measured from any fixed point to the uniformly moving point Q , is the Argument of the harmonic motion . [ The distance of a point , performing a simple harmonic motion , from the middle of ...
... figure . An arc of the circle referred to , measured from any fixed point to the uniformly moving point Q , is the Argument of the harmonic motion . [ The distance of a point , performing a simple harmonic motion , from the middle of ...
Page 25
... figure QP'OP is a parallelogram , and therefore Q is in the position of the displacement compounded of OP and OP ' . Hence two equal simple harmonic motions in perpendicular lines , of phases differing by a quarter period , are ...
... figure QP'OP is a parallelogram , and therefore Q is in the position of the displacement compounded of OP and OP ' . Hence two equal simple harmonic motions in perpendicular lines , of phases differing by a quarter period , are ...
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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.