Elements of Natural Philosophy, Part 1 |
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Page 11
This is true also if the total acceleration and its direction at every instant , or
simply its rectangular components , be given , provided the velocity and its
direction , as well as the position of the point , at any one instant be given . But
these are in ...
This is true also if the total acceleration and its direction at every instant , or
simply its rectangular components , be given , provided the velocity and its
direction , as well as the position of the point , at any one instant be given . But
these are in ...
Page 12
Evidently there is no acceleration perpendicular to the plane containing the fixed
point and the line of motion of the moving point at any instant ; and there being no
velocity perpendicular to this plane at starting , there is therefore none ...
Evidently there is no acceleration perpendicular to the plane containing the fixed
point and the line of motion of the moving point at any instant ; and there being no
velocity perpendicular to this plane at starting , there is therefore none ...
Page 14
For the product of this perpendicular and the velocity at any instant gives double
the area described in one second about the fixed point , which has just been
shown to be a constant quantity . Other examples of these principles will be met
with ...
For the product of this perpendicular and the velocity at any instant gives double
the area described in one second about the fixed point , which has just been
shown to be a constant quantity . Other examples of these principles will be met
with ...
Page 15
If , for simplicity , we consider the motion to be confined to a plane passing
through the fixed point , the angle which the joining line makes with a fixed line in
the plane is continually altering , and its rate of alteration at any instant is called
the ...
If , for simplicity , we consider the motion to be confined to a plane passing
through the fixed point , the angle which the joining line makes with a fixed line in
the plane is continually altering , and its rate of alteration at any instant is called
the ...
Page 17
We can calculate from astronomical data for any instant the direction in which ,
and the velocity with which , we are moving on account of the earth's diurnal
rotation . We may compound this with the ( equally calculable ) velocity of the
earth in ...
We can calculate from astronomical data for any instant the direction in which ,
and the velocity with which , we are moving on account of the earth's diurnal
rotation . We may compound this with the ( equally calculable ) velocity of the
earth in ...
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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 experience 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 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