Elements of Natural Philosophy |
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Page 6
... increasing quantity - what in the differential cal- culus is called an independent variable . Its physical ... increases its speed , and every one understands what is meant by saying that at a particular instant it moves at the rate of ...
... increasing quantity - what in the differential cal- culus is called an independent variable . Its physical ... increases its speed , and every one understands what is meant by saying that at a particular instant it moves at the rate of ...
Page 7
... increases ? ' i . e . What is the velocity of the moving point ? Newton's notation for the velocity , i.e. the rate at which increases , or the fluxion of s , is s . This notation is very convenient , as it saves the introduction of a ...
... increases ? ' i . e . What is the velocity of the moving point ? Newton's notation for the velocity , i.e. the rate at which increases , or the fluxion of s , is s . This notation is very convenient , as it saves the introduction of a ...
Page 8
... increases or diminishes , but the word acceleration is generally used in either sense , on the understanding that we may regard its quantity as either positive or negative : and ( § 34 ) is farther generalized so as to include change of ...
... increases or diminishes , but the word acceleration is generally used in either sense , on the understanding that we may regard its quantity as either positive or negative : and ( § 34 ) is farther generalized so as to include change of ...
Page 9
... increase of velocity per unit of time . If we choose as the unit of acceleration that which adds a unit of velocity per unit of time to the velocity of a point , an acceleration measured by a will add a units of velocity in unit of time ...
... increase of velocity per unit of time . If we choose as the unit of acceleration that which adds a unit of velocity per unit of time to the velocity of a point , an acceleration measured by a will add a units of velocity in unit of time ...
Page 11
... increases uniformly , its value at any time before the middle of the interval is as much less than this mean as its value at the same time after the middle of the interval is greater than the mean : and hence its value at the middle of ...
... increases uniformly , its value at any time before the middle of the interval is as much less than this mean as its value at the same time after the middle of the interval is greater than the mean : and hence its value at the middle of ...
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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 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 parallelogram particle path pendulum perpendicular plane perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular relative 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