Elements of Natural Philosophy, Part 1 |
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Page 29
The preceding simple construction therefore enables us not only to demonstrate
the general proposition ( $ _91 ) , but also to determine from the two positions AB
, A'B ' of the figure the common centre and the amount of the angle of rotation .
The preceding simple construction therefore enables us not only to demonstrate
the general proposition ( $ _91 ) , but also to determine from the two positions AB
, A'B ' of the figure the common centre and the amount of the angle of rotation .
Page 35
Hence rotations are to be compounded according to the same law as velocities ,
and therefore the single angular velocity , equivalent to three co - existent
angular velocities about three mutually perpendicular axes , is determined in ...
Hence rotations are to be compounded according to the same law as velocities ,
and therefore the single angular velocity , equivalent to three co - existent
angular velocities about three mutually perpendicular axes , is determined in ...
Page 36
To complete our kinematical investigation of the motion of a body of which one
point is fixed , we require a solution of the following problem : -From the given
angular velocities of the body about three rectangular axes attached to it to
determine ...
To complete our kinematical investigation of the motion of a body of which one
point is fixed , we require a solution of the following problem : -From the given
angular velocities of the body about three rectangular axes attached to it to
determine ...
Page 44
When the positions of the principal axes , and the magnitudes of the principal
elongations of a strain are given , the elongation of any line of the body , and the
alteration of angle between any two lines , may be obviously determined by a ...
When the positions of the principal axes , and the magnitudes of the principal
elongations of a strain are given , the elongation of any line of the body , and the
alteration of angle between any two lines , may be obviously determined by a ...
Page 50
As an additional degree of freedom is lost by each successive limitation of a point
in the body to a smooth surface , six such conditions completely determine the
position of the body . Thus if six points properly chosen on the barrel and stock of
...
As an additional degree of freedom is lost by each successive limitation of a point
in the body to a smooth surface , six such conditions completely determine the
position of the body . Thus if six points properly chosen on the barrel and stock of
...
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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 |