Elements of Natural Philosophy, Volume 1 |
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Page 8
When there are two velocities , or three velocities , in two or in three rectangular
directions , the resultant is the square root of the sum of their squares ; and the
cosines of its inclination to the given directions are the ratios of the components
to ...
When there are two velocities , or three velocities , in two or in three rectangular
directions , the resultant is the square root of the sum of their squares ; and the
cosines of its inclination to the given directions are the ratios of the components
to ...
Page 10
... and equal to the acceleration of the velocity ; the other towards the centre of
curvature ( perpendicular therefore to the direction of motion ) , whose magnitude
is proportional to the square of the velocity and also to the curvature of the path .
... and equal to the acceleration of the velocity ; the other towards the centre of
curvature ( perpendicular therefore to the direction of motion ) , whose magnitude
is proportional to the square of the velocity and also to the curvature of the path .
Page 16
When a point moves uniformly in a straight line its angular velocity evidently
diminishes as it recedes from the point about which the angles are measured ,
and it may easily be shown that it varies inversely as the square of the distance
from ...
When a point moves uniformly in a straight line its angular velocity evidently
diminishes as it recedes from the point about which the angles are measured ,
and it may easily be shown that it varies inversely as the square of the distance
from ...
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 35
... and the direction of its axis is found , as follows : — The square of the resultant
angular velocity is the sum of the squares of its components , and the ratios of the
three components to the resultant are the direction - cosines of the axis . Hence ...
... and the direction of its axis is found , as follows : — The square of the resultant
angular velocity is the sum of the squares of its components , and the ratios of the
three components to the resultant are the direction - cosines of the axis . Hence ...
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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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