Elements of Natural Philosophy, Volume 1 |
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Page 4
The mathematical condition to be expressed in any case of it is simply that the
distance measured along the line from any one point to any other , remains
constant , however the line be bent . 17. The use of a cord in mechanism
presents us ...
The mathematical condition to be expressed in any case of it is simply that the
distance measured along the line from any one point to any other , remains
constant , however the line be bent . 17. The use of a cord in mechanism
presents us ...
Page 11
( 6 ) If a point moves in a plane , and its component velocity parallel to each of
two rectangular axes is proportional to its distance from that axis , the path is an
ellipse or hyperbola whose principal diameters coincide with those axes ...
( 6 ) If a point moves in a plane , and its component velocity parallel to each of
two rectangular axes is proportional to its distance from that axis , the path is an
ellipse or hyperbola whose principal diameters coincide with those axes ...
Page 12
Also OA is known in direction , for AP bisects the angle , OAC , between the focal
distance of a point and the diameter through it . 45. When the acceleration is
directed to a fixed point , the path is in a plane passing through that point ; and in
...
Also OA is known in direction , for AP bisects the angle , OAC , between the focal
distance of a point and the diameter through it . 45. When the acceleration is
directed to a fixed point , the path is in a plane passing through that point ; and in
...
Page 14
Hence the hodograph is a vertical straight line , whose distance from the origin is
the horizontal velocity , and which is described uniformly . 51. To prove
Hamilton's proposition ( $ 49 ) , let APB be a portion of a conic section and S one
focus .
Hence the hodograph is a vertical straight line , whose distance from the origin is
the horizontal velocity , and which is described uniformly . 51. To prove
Hamilton's proposition ( $ 49 ) , let APB be a portion of a conic section and S one
focus .
Page 15
... to that perpendicular to a fixed line : and therefore the radius - vector of any
point is proportional to the distance of that point from a fixed line - a property
belonging exclusively to the conic sections referred to their focus and directrix .
53.
... to that perpendicular to a fixed line : and therefore the radius - vector of any
point is proportional to the distance of that point from a fixed line - a property
belonging exclusively to the conic sections referred to their focus and directrix .
53.
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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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