Elements of Natural Philosophy, Volume 1 |
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Page 21
... We have obviously P'R = CP ( being projections of the equal and parallel lines Q'S , CQ , on CR ) . Hence CR CP + CP ' ; and therefore the point R executes the = resultant of the motions P and P ' . But KINEMATICS . 21.
... We have obviously P'R = CP ( being projections of the equal and parallel lines Q'S , CQ , on CR ) . Hence CR CP + CP ' ; and therefore the point R executes the = resultant of the motions P and P ' . But KINEMATICS . 21.
Page 25
... projections of the areas described by the radius of the circle ) in equal times . But the plane and position of the circle of which this projection is taken may clearly be found so as to fulfil the condition of having the projections of ...
... projections of the areas described by the radius of the circle ) in equal times . But the plane and position of the circle of which this projection is taken may clearly be found so as to fulfil the condition of having the projections of ...
Page 39
... siderations regarding projections . 122. Euler's Theorem . - There are at every point of a synclastic surface two normal sections , in one of which the curvature is a maximum , in the other a minimum ; and these KINEMATICS . 39.
... siderations regarding projections . 122. Euler's Theorem . - There are at every point of a synclastic surface two normal sections , in one of which the curvature is a maximum , in the other a minimum ; and these KINEMATICS . 39.
Page 43
... projection of the first on some plane . The elongation of the body along any line is the proportion which the addition to the distance between any two points in that line bears to their primitive distance . 140. Every orthogonal projection ...
... projection of the first on some plane . The elongation of the body along any line is the proportion which the addition to the distance between any two points in that line bears to their primitive distance . 140. Every orthogonal projection ...
Page 61
... projection on any plane perpen- dicular to the axis , of the figure representing its moment round any point of the axis . 200. [ The projection of an area , plane or curved , on any plane , is the area included in the projection of its ...
... projection on any plane perpen- dicular to the axis , of the figure representing its moment round any point of the axis . 200. [ The projection of an area , plane or curved , on any plane , is the area included in the projection of its ...
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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.