Elements of Natural Philosophy, Volume 1 |
From inside the book
Results 1-5 of 54
Page 2
... suppose two tangents PT , QU , drawn to a circle , and radii OP , OQ , to the points of contact . The angle between the tangents is the change of direction between P and Q , and the rate of change is to be measured by the relation ...
... suppose two tangents PT , QU , drawn to a circle , and radii OP , OQ , to the points of contact . The angle between the tangents is the change of direction between P and Q , and the rate of change is to be measured by the relation ...
Page 3
... 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 exhibits what we have ...
... 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 exhibits what we have ...
Page 4
... Suppose we have a single pulley B , about which the flexible and inextensible cord ABP is wrapped , and suppose its free portions to be parallel . If ( A being fixed ) a point P of the cord be moved to P ' , it is evident that each of ...
... Suppose we have a single pulley B , about which the flexible and inextensible cord ABP is wrapped , and suppose its free portions to be parallel . If ( A being fixed ) a point P of the cord be moved to P ' , it is evident that each of ...
Page 6
... suppose that , at any instant during the motion , the steam is so adjusted as to keep the train running for some time at a uniform velocity . This is the velocity which the train had at the instant in question . Without supposing any ...
... suppose that , at any instant during the motion , the steam is so adjusted as to keep the train running for some time at a uniform velocity . This is the velocity which the train had at the instant in question . Without supposing any ...
Page 26
... suppose , for simplicity , the two component motions to take place in perpendicular directions . Also , it is easy to see that we can only have a reëntering curve when their periods are commensurable . The following figures represent ...
... suppose , for simplicity , the two component motions to take place in perpendicular directions . Also , it is easy to see that we can only have a reëntering curve when their periods are commensurable . The following figures represent ...
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.