Elements of Natural Philosophy, Volume 1 |
From inside the book
Results 1-5 of 58
Page
... importance : and we feel that it would have given us much less trouble and anxiety , and would probably have ensured a better result , had we written the volume anew without keeping the larger book constantly before us . The sole ...
... importance : and we feel that it would have given us much less trouble and anxiety , and would probably have ensured a better result , had we written the volume anew without keeping the larger book constantly before us . The sole ...
Page 5
... importance in Natural Philosophy , especially in certain mechanical and optical questions , and we shall therefore devote a section or two to this application of Kinematics . Def . If a flexible and inextensible string be fixed at one ...
... importance in Natural Philosophy , especially in certain mechanical and optical questions , and we shall therefore devote a section or two to this application of Kinematics . Def . If a flexible and inextensible string be fixed at one ...
Page 11
... important . ( a ) If the velocity of a moving point be uniform , and if its direction revolve uniformly in a plane , the path described is a circle . ( b ) If a point moves in a plane , and its component velocity parallel to each of two ...
... important . ( a ) If the velocity of a moving point be uniform , and if its direction revolve uniformly in a plane , the path described is a circle . ( b ) If a point moves in a plane , and its component velocity parallel to each of two ...
Page 14
... important improvement in nautical charts has been suggested by Archibald Smith1 . It consists in drawing a curve , which may be called the tidal hodograph with reference to any point of a chart for which the tidal currents are to be ...
... important improvement in nautical charts has been suggested by Archibald Smith1 . It consists in drawing a curve , which may be called the tidal hodograph with reference to any point of a chart for which the tidal currents are to be ...
Page 15
... important proposition as follows : Let A be the centre of the circle , and O the hodographic origin . Join OA and draw the perpendiculars PM to OA and ON to PA . Then OP is the velocity in the orbit : and ON , being parallel to the ...
... important proposition as follows : Let A be the centre of the circle , and O the hodographic origin . Join OA and draw the perpendiculars PM to OA and ON to PA . Then OP is the velocity in the orbit : and ON , being parallel to 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.