Elements of Natural Philosophy, Part 1 |
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Page 24
In the first place , we see that any number of simple harmonic motions of one
period , and of the same phase , superimposed , produce a single simple
harmonic motion of the same phase . For , the displacement at any instant being ,
according ...
In the first place , we see that any number of simple harmonic motions of one
period , and of the same phase , superimposed , produce a single simple
harmonic motion of the same phase . For , the displacement at any instant being ,
according ...
Page 26
... directions and of any periods , may be effected by compounding , according to
previously explained methods , their resolved parts in each of any three
rectangular directions , and then compounding the final resultants in these
directions .
... directions and of any periods , may be effected by compounding , according to
previously explained methods , their resolved parts in each of any three
rectangular directions , and then compounding the final resultants in these
directions .
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 39
... the corresponding surface is concave . Hence the angular velocity of the rolling
curve is in this case equal to the product of the linear velocity of the point of
contact into the sum or difference of the curvatures , according as the curves are
both ...
... the corresponding surface is concave . Hence the angular velocity of the rolling
curve is in this case equal to the product of the linear velocity of the point of
contact into the sum or difference of the curvatures , according as the curves are
both ...
Page 42
The surface must clearly , when complete ( according to mathematical ideas ) ,
consist of two sheets meeting in this edge of regression ( just as a cone consists
of two sheets meeting in the vertex ) , because each tangent may be produced ...
The surface must clearly , when complete ( according to mathematical ideas ) ,
consist of two sheets meeting in this edge of regression ( just as a cone consists
of two sheets meeting in the vertex ) , because each tangent may be produced ...
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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 |