Elements of Natural Philosophy, Volume 1 |
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Page 2
The curvature at any point is the reciprocal of the radius of this circle for a small
arc on each side of the point . 11. If all the points of the curve lie in one plane , it is
called a plane curve , and if it be made up of portions 2 PRELIMINARY .
The curvature at any point is the reciprocal of the radius of this circle for a small
arc on each side of the point . 11. If all the points of the curve lie in one plane , it is
called a plane curve , and if it be made up of portions 2 PRELIMINARY .
Page 3
curve , and if it be made up of portions of straight or curved lines it is called a
plane polygon . If the line do not lie in one plane , we have in one case what is
called a curve of double curvature , in the other a gauche polygon . The term '
curve of ...
curve , and if it be made up of portions of straight or curved lines it is called a
plane polygon . If the line do not lie in one plane , we have in one case what is
called a curve of double curvature , in the other a gauche polygon . The term '
curve of ...
Page 8
Thus a point moving with velocity V up an Inclined Plane , making an angle a with
the horizon , has a vertical velocity V sin a and a horizontal velocity Vcosa . Or it
may be resolved into components in any three rectangular directions , each ...
Thus a point moving with velocity V up an Inclined Plane , making an angle a with
the horizon , has a vertical velocity V sin a and a horizontal velocity Vcosa . Or it
may be resolved into components in any three rectangular directions , each ...
Page 11
( a ) If the velocity of a moving point be uniform , and if its direction revolve
uniformly in a plane , the path described is a circle . ( 6 ) If a point moves in a
plane , and its component velocity parallel to each of two rectangular axes is
proportional to ...
( a ) If the velocity of a moving point be uniform , and if its direction revolve
uniformly in a plane , the path described is a circle . ( 6 ) If a point moves in a
plane , and its component velocity parallel to each of two rectangular axes is
proportional to ...
Page 12
When the acceleration is directed to a fixed point , the path is in a plane passing
through that point ; and in this plane the areas traced out by the radius - vector
are proportional to the times employed . This includes the case of a satellite or ...
When the acceleration is directed to a fixed point , the path is in a plane passing
through that point ; and in this plane the areas traced out by the radius - vector
are proportional to the times employed . This includes the case of a satellite or ...
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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 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