Elements of Natural Philosophy, Part 1 |
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Page 5
Hence pP is normal ( or perpendicular to the tangent ) to the curve р PQ . And
thus the evolute of PQ is B a definite curve , viz . the envelop of ( or line which is
touched by ) the normals drawn at every point of PQ , or , which is the same thing
...
Hence pP is normal ( or perpendicular to the tangent ) to the curve р PQ . And
thus the evolute of PQ is B a definite curve , viz . the envelop of ( or line which is
touched by ) the normals drawn at every point of PQ , or , which is the same thing
...
Page 38
... this point — the other body being fixed . This motion is what we call rolling , or
simple rolling , of the movable body on the fixed . On the other hand , let the
instantaneous axis of the moving body be the common normal at the point of
contact .
... this point — the other body being fixed . This motion is what we call rolling , or
simple rolling , of the movable body on the fixed . On the other hand , let the
instantaneous axis of the moving body be the common normal at the point of
contact .
Page 39
In the former case , the surface bends away from the tangent plane partly towards
one side of it , and partly towards the other , and has thus , in some of its normal
sections , curvatures oppositely directed to those in others . In the latter case ...
In the former case , the surface bends away from the tangent plane partly towards
one side of it , and partly towards the other , and has thus , in some of its normal
sections , curvatures oppositely directed to those in others . In the latter case ...
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 50
For we may take the normal to the surface as one of three rectangular directions
of resolution . No displacement can be effected parallel to it : and the other two
displacements , at right angles to each other , in the tangent plane to the surface
...
For we may take the normal to the surface as one of three rectangular directions
of resolution . No displacement can be effected parallel to it : and the other two
displacements , at right angles to each other , in the tangent plane to the surface
...
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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 |