Elements of Natural Philosophy, Volume 1 |
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Page 15
... 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 Angular
Velocity ...
... 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 Angular
Velocity ...
Page 16
We may also speak of the angular velocity of a moving plane with respect to a
fixed one , as the rate of increase of the angle contained by them ; but unless
their line of intersection remain fixed , or at all events parallel to itself , a
somewhat ...
We may also speak of the angular velocity of a moving plane with respect to a
fixed one , as the rate of increase of the angle contained by them ; but unless
their line of intersection remain fixed , or at all events parallel to itself , a
somewhat ...
Page 17
acceleration in the orbit , varies inversely as the square of the radius - vector ;
and therefore ( $ 59 ) directly as the angular velocity . Hence the arc of Pl ,
described in any time , is proportional to the corresponding angle - vector in the
orbit , i.e. ...
acceleration in the orbit , varies inversely as the square of the radius - vector ;
and therefore ( $ 59 ) directly as the angular velocity . Hence the arc of Pl ,
described in any time , is proportional to the corresponding angle - vector in the
orbit , i.e. ...
Page 20
... comes to its greatest elongation in the direction reckoned as positive , from its
mean position or the middle of its range . Epoch in angular measure is the angle
described on the circle of reference in the period of time defined as the epoch .
... comes to its greatest elongation in the direction reckoned as positive , from its
mean position or the middle of its range . Epoch in angular measure is the angle
described on the circle of reference in the period of time defined as the epoch .
Page 22
resultant of the motions P and P. But CS , the diagonal of the parallelogram , is
constant ( since the angular velocities of CQ and CQ are equal , and therefore the
angle QCQ is constant ) , and revolves with the same angular velocity as CQ or ...
resultant of the motions P and P. But CS , the diagonal of the parallelogram , is
constant ( since the angular velocities of CQ and CQ are equal , and therefore the
angle QCQ is constant ) , and revolves with the same angular velocity as CQ 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
Bibliographic information
| Title | Elements of Natural Philosophy, Volume 1 Volume 23 of A library of universal literature. Part one - Science [vol.23] Clarendon Press series Elements of Natural Philosophy, Peter Guthrie Tait Nineteenth Century Collections Online (NCCO): Science, Technology, and Medicine: 1780-1925 |
| Authors | William Thomson Baron Kelvin, Peter Guthrie Tait |
| Publisher | Clarendon Press, 1873 |
| Original from | the New York Public Library |
| Digitized | 24 May 2011 |
| Length | 279 pages |
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