Elements of Natural Philosophy, Volume 1 |
From inside the book
Results 1-5 of 63
Page 47
... applied in any other order as well as that stated . Thus , if the simple elongation is made first , the body thus altered must get just the same shear in planes perpendicular to the line of elongation as the originally unaltered body ...
... applied in any other order as well as that stated . Thus , if the simple elongation is made first , the body thus altered must get just the same shear in planes perpendicular to the line of elongation as the originally unaltered body ...
Page 55
... applied . Even the most rigid substances , when brought together , do not touch at a point merely , but mould each other so as to produce a surface of application . On the other hand , gravity is a force of which the place of ...
... applied . Even the most rigid substances , when brought together , do not touch at a point merely , but mould each other so as to produce a surface of application . On the other hand , gravity is a force of which the place of ...
Page 59
... applied to define the centre of inertia of a system of material points , whether given equal or not . The result is equivalent to this : - The centre of inertia of any system of material points whatever ( whether rigidly connected with ...
... applied to define the centre of inertia of a system of material points , whether given equal or not . The result is equivalent to this : - The centre of inertia of any system of material points whatever ( whether rigidly connected with ...
Page 66
... applied . And this motion , if the body was moving beforehand , is either added to the previous motion if directly conspiring with it ; or is subtracted if directly opposed ; or is geometrically compounded with it , according to the ...
... applied . And this motion , if the body was moving beforehand , is either added to the previous motion if directly conspiring with it ; or is subtracted if directly opposed ; or is geometrically compounded with it , according to the ...
Page 67
... ( applied at one point ) is to be found by the same geometrical process as the resultant of any number of simultaneous velocities . 222. From this follows at once ( § 31 ) the construction of the Parallelogram of Forces for finding the ...
... ( applied at one point ) is to be found by the same geometrical process as the resultant of any number of simultaneous velocities . 222. From this follows at once ( § 31 ) the construction of the Parallelogram of Forces for finding the ...
Other editions - View all
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.