Elements of Natural Philosophy |
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Page 7
... give nearer and nearer approximations to the velocity at the beginning of the first second . The whole foundation of Newton's differential calculus is , in fact , contained in the simple question , ' What is the rate at which the space ...
... give nearer and nearer approximations to the velocity at the beginning of the first second . The whole foundation of Newton's differential calculus is , in fact , contained in the simple question , ' What is the rate at which the space ...
Page 14
... gives double the area described in one second about the fixed point , which has just been shown to be a constant quantity . As the kinematical propositions with which we are dealing have important bearings on Physical Astronomy , we ...
... gives double the area described in one second about the fixed point , which has just been shown to be a constant quantity . As the kinematical propositions with which we are dealing have important bearings on Physical Astronomy , we ...
Page 16
... give a complete specification of the motion . 55. The unit angular velocity is that of a point which describes , or would describe , unit angle about a fixed point in unit of time . The usual unit angle is ( as explained in treatises on ...
... give a complete specification of the motion . 55. The unit angular velocity is that of a point which describes , or would describe , unit angle about a fixed point in unit of time . The usual unit angle is ( as explained in treatises on ...
Page 18
... give the second a southward velocity of eighty miles an hour , which is the required relative motion . Or , given one train moving north at the rate of thirty miles an hour , and another moving west at the rate of forty miles an hour ...
... give the second a southward velocity of eighty miles an hour , which is the required relative motion . Or , given one train moving north at the rate of thirty miles an hour , and another moving west at the rate of forty miles an hour ...
Page 22
... give , when compounded , a single simple harmonic motion ; S R P P0 C of the same period ; of amplitude equal to the diagonal of a parallelogram de- scribed on lengths equal to their am- plitudes measured on lines meeting at an angle ...
... give , when compounded , a single simple harmonic motion ; S R P P0 C of the same period ; of amplitude equal to the diagonal of a parallelogram de- scribed on lengths equal to their am- plitudes measured on lines meeting at an angle ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant cord corresponding cosine couple curvature curve cylinder denote density described diagram displacement distance ellipse ellipsoid elongation equal equations equilibrium external point finite fixed point flexure fluid forces acting formulae friction geometrical given force Hence hodograph horizontal inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ parallel particle path pendulum perpendicular plane perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular 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 tion torsion uniform unit vertical weight whole wire