Elements of Natural Philosophy, Part 1 |
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Page 39
Thus we may divide curved surfaces into Anticlastic and Synclastic . A saddle
gives a good example of the former class ; a ball of the latter . Curvatures in
opposite directions , with reference to the tangent plane , have of course different
signs .
Thus we may divide curved surfaces into Anticlastic and Synclastic . A saddle
gives a good example of the former class ; a ball of the latter . Curvatures in
opposite directions , with reference to the tangent plane , have of course different
signs .
Page 40
In an anticlastic surface there is maximum curvature ( but in opposite directions )
in the two normal sections whose planes bisect the angles between the lines in
which the surface cuts its tangent plane . On account of the difference of sign ...
In an anticlastic surface there is maximum curvature ( but in opposite directions )
in the two normal sections whose planes bisect the angles between the lines in
which the surface cuts its tangent plane . On account of the difference of sign ...
Page 58
If we take two points Ay , Ay , the middle point , P2 , of the line joining them is
obviously distant from any plane whatever by a quantity equal to the mean ( in
this case the half sum or difference as they are on the same or on opposite sides
) of ...
If we take two points Ay , Ay , the middle point , P2 , of the line joining them is
obviously distant from any plane whatever by a quantity equal to the mean ( in
this case the half sum or difference as they are on the same or on opposite sides
) of ...
Page 61
... of the triangle representing its magnitude , perpendicular to its plane , through
the front of a watch held in the plane with its centre at the point , and facing so
that the force tends to turn round this point in a direction opposite to the hands .
... of the triangle representing its magnitude , perpendicular to its plane , through
the front of a watch held in the plane with its centre at the point , and facing so
that the force tends to turn round this point in a direction opposite to the hands .
Page 63
negative according as the virtual velocity is in the same , or in the opposite ,
direction to that of the force . The product of the force , into the virtual velocity of its
point of application , has been called the Virtual Moment of the force . These
terms ...
negative according as the virtual velocity is in the same , or in the opposite ,
direction to that of the force . The product of the force , into the virtual velocity of its
point of application , has been called the Virtual Moment of the force . These
terms ...
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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
Bibliographic information
| Title | Elements of Natural Philosophy, Part 1 Volume 23 of A library of universal literature. Science Clarendon Press series 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 |
| Export Citation | BiBTeX EndNote RefMan |