Elements of Natural Philosophy, Volume 1 |
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Page 2
If the motion be that of a material particle , however , there can be no abrupt
change of velocity , nor of direction unless where the velocity is zero , since ( as
we shall afterwards see ) such would imply the action of an infinite force . It is
useful to ...
If the motion be that of a material particle , however , there can be no abrupt
change of velocity , nor of direction unless where the velocity is zero , since ( as
we shall afterwards see ) such would imply the action of an infinite force . It is
useful to ...
Page 3
The Integral Curvature , or whole change of direction , of an arc of a plane curve ,
is the angle through which the tangent has turned as we pass from one extremity
to the other . The average curvature of any portion is its whole curvature divided ...
The Integral Curvature , or whole change of direction , of an arc of a plane curve ,
is the angle through which the tangent has turned as we pass from one extremity
to the other . The average curvature of any portion is its whole curvature divided ...
Page 4
all the sides being produced each in the direction in which the moving point
describes it while passing round the figure . This is true whether the polygon be
closed or not . If closed , then , as long as it is not crossed , this sum is four right
angles ...
all the sides being produced each in the direction in which the moving point
describes it while passing round the figure . This is true whether the polygon be
closed or not . If closed , then , as long as it is not crossed , this sum is four right
angles ...
Page 7
Thus , for a train moving up an incline in a N.E. direction , we may have the whole
velocity and the steepness of the incline given ; or we may express the same
ideas thus — the train is moving simultaneously northward , eastward , and
upward ...
Thus , for a train moving up an incline in a N.E. direction , we may have the whole
velocity and the steepness of the incline given ; or we may express the same
ideas thus — the train is moving simultaneously northward , eastward , and
upward ...
Page 8
Or it may be resolved into components in any three rectangular directions , each
component being found by multiplying the whole velocity by the cosine of the
angle between its direction and that of the component . The velocity resolved in
any ...
Or it may be resolved into components in any three rectangular directions , each
component being found by multiplying the whole velocity by the cosine of the
angle between its direction and that of the component . The velocity resolved in
any ...
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Common terms and phrases
acceleration according acting action amount angle angular applied attraction axes axis body called centre centre of inertia circle component condition consider constant corresponding couple course curvature curve denote density described determined direction displacement distance divided effect elastic elements energy equal equations equilibrium evidently expression figure fixed fluid force friction give given gravity harmonic Hence important increase infinitely small instant interval kinetic length less mass matter mean measured method motion moving natural normal observation opposite parallel particle passing path perpendicular plane portion position potential practical pressure principle problem produce projection proportional quantity radius reference relative remain remarkable respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity weight whole wire