Elements of Natural Philosophy, Part 1 |
From inside the book
Page 3
... as we pass from one extremity to the other . The average curvature of any
portion is its whole curvature divided by its length . Suppose a line , drawn
through any fixed point , to turn so as always to be parallel to the direction of
motion of ...
... as we pass from one extremity to the other . The average curvature of any
portion is its whole curvature divided by its length . Suppose a line , drawn
through any fixed point , to turn so as always to be parallel to the direction of
motion of ...
Page 4
If ( A being fixed ) a point P of the cord P be moved to P , it is evident that each of
the portions AB and PB will be shortened by one - half of PP . Hence , LA when P
moves through any space in the direction of the cord , the pulley B B moves in ...
If ( A being fixed ) a point P of the cord P be moved to P , it is evident that each of
the portions AB and PB will be shortened by one - half of PP . Hence , LA when P
moves through any space in the direction of the cord , the pulley B B moves in ...
Page 5
Of course , if a pulley be fixed , the motion of a point of one end of the cord to or
from it involves an equal motion of the other ... Thus , in drawing an ellipse , the
focal property of the curve shows us that if we fix the ends of such a cord to the
foci ...
Of course , if a pulley be fixed , the motion of a point of one end of the cord to or
from it involves an equal motion of the other ... Thus , in drawing an ellipse , the
focal property of the curve shows us that if we fix the ends of such a cord to the
foci ...
Page 9
... parts of its velocity in fixed directions will , in general , be accelerated . And as
acceleration is merely a change of the component velocity in a stated direction , it
is evident that its laws of composition and resolution are the same as those of ...
... parts of its velocity in fixed directions will , in general , be accelerated . And as
acceleration is merely a change of the component velocity in a stated direction , it
is evident that its laws of composition and resolution are the same as those of ...
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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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 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