Elements of Natural Philosophy, Volume 1 |
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Page 2
To exemplify this , suppose two tangents PT , QU , drawn to a circle , T and radii
OP , OQ , to the points of contact . Р The angle between the tangents is the U
change of direction between P and , and the rate of change is to be measured by
the ...
To exemplify this , suppose two tangents PT , QU , drawn to a circle , T and radii
OP , OQ , to the points of contact . Р The angle between the tangents is the U
change of direction between P and , and the rate of change is to be measured by
the ...
Page 3
... 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 by its length . Suppose a line , drawn through any ...
... 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 by its length . Suppose a line , drawn through any ...
Page 4
( 1 ) Suppose we have a single pulley B , about which the flexible and
inextensible cord ABP . is wrapped , and IP suppose its free portions to be
parallel . If ( A being fixed ) a point P of the cord P be moved to P , it is evident that
each of the ...
( 1 ) Suppose we have a single pulley B , about which the flexible and
inextensible cord ABP . is wrapped , and IP suppose its free portions to be
parallel . If ( A being fixed ) a point P of the cord P be moved to P , it is evident that
each of the ...
Page 6
We may suppose that , at any instant during the motion , the steam is so adjusted
as to keep the train running for some time at a uniform velocity . This is the
velocity which the train had at the instant in question . Without supposing any
such ...
We may suppose that , at any instant during the motion , the steam is so adjusted
as to keep the train running for some time at a uniform velocity . This is the
velocity which the train had at the instant in question . Without supposing any
such ...
Page 26
... any periods , whose directions must of course be in one plane . Mechanical
methods of obtaining such combinations will be afterwards described , as well as
cases of their occurrence in Optics and Acoustics . We may suppose , for
simplicity ...
... any periods , whose directions must of course be in one plane . Mechanical
methods of obtaining such combinations will be afterwards described , as well as
cases of their occurrence in Optics and Acoustics . We may suppose , for
simplicity ...
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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