Elements of Natural Philosophy, Volume 1 |
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Page 3
As two successive positions of it contain the second side of the polygon above
mentioned , it is evident that the osculating plane passes from one position to the
next by revolving about the tangent to the curve . 13. Thus , as we proceed along
...
As two successive positions of it contain the second side of the polygon above
mentioned , it is evident that the osculating plane passes from one position to the
next by revolving about the tangent to the curve . 13. Thus , as we proceed along
...
Page 4
all the sides being produced each in the direction in which the moving point
describes it while passing round the figure . This is true whether the polygon be
closed or not . If closed , then , as long as it is not crossed , this sum is four right
angles ...
all the sides being produced each in the direction in which the moving point
describes it while passing round the figure . This is true whether the polygon be
closed or not . If closed , then , as long as it is not crossed , this sum is four right
angles ...
Page 11
( c ) If the components of the velocity parallel to each axis be equimultiples of the
distances from the other axis , the path is a straight line passing through the
origin . ( d ) When the velocity is uniform , but in a direction revolving uniformly in
a ...
( c ) If the components of the velocity parallel to each axis be equimultiples of the
distances from the other axis , the path is a straight line passing through the
origin . ( d ) When the velocity is uniform , but in a direction revolving uniformly in
a ...
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 ...
Page 13
... always passes through the point , its moment vanishes . This is the case of a
motion in which the acceleration is directed to a fixed point , and we thus prove
the second theorem of $ 45 , that in the case supposed the areas described by
the ...
... always passes through the point , its moment vanishes . This is the case of a
motion in which the acceleration is directed to a fixed point , and we thus prove
the second theorem of $ 45 , that in the case supposed the areas described by
the ...
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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 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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