Elements of Natural Philosophy, Part 1 |
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Page 4
... space . ( 2 ) If there be two cords and two pulleys , the ends AA ' being fixed , and the other end of AB being ... space , and carries with it one end of the cord AB . Hence B moves through half the space B did , that is , one fourth of ...
... space . ( 2 ) If there be two cords and two pulleys , the ends AA ' being fixed , and the other end of AB being ... space , and carries with it one end of the cord AB . Hence B moves through half the space B did , that is , one fourth of ...
Page 6
... space of v feet each second , and therefore vt feet in t seconds , t being any number whatever . Putting s for the space described int seconds , we have s = vt . Thus with unit velocity a point describes unit of space in unit of time ...
... space of v feet each second , and therefore vt feet in t seconds , t being any number whatever . Putting s for the space described int seconds , we have s = vt . Thus with unit velocity a point describes unit of space in unit of time ...
Page 7
... Space described in one second , Ten times the space described in the first tenth of a second , A hundred 99 " " " " hundredth 99 and so on , give nearer and nearer approximations to the velocity at the beginning of the first second ...
... Space described in one second , Ten times the space described in the first tenth of a second , A hundred 99 " " " " hundredth 99 and so on , give nearer and nearer approximations to the velocity at the beginning of the first second ...
Page 8
... 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 parallel and equal to OB . Join OC : then OC is the resultant velocity in magnitude ...
... 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 parallel and equal to OB . Join OC : then OC is the resultant velocity in magnitude ...
Page 11
... spaces proportional to the squares of the times elapsed since the commencement of the motion . This is the case of a body falling vertically in vacuo under the action of gravity . In this case the space described in any interval is that ...
... spaces proportional to the squares of the times elapsed since the commencement of the motion . This is the case of a body falling vertically in vacuo under the action of gravity . In this case the space described in any interval is that ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called Cambridge centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance ellipsoid elongation equal equations equilibrium external finite fixed point 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 normal section Octavo P. G. TAIT P₁ P₂ parallel particle path pendulum perpendicular plane 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 theorem theory tion torsion uniform unit vertical whole wire
Popular passages
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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.