Elements of Natural Philosophy, Part 1 |
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Page 5
... by different points of the string ; and these will , in general , be different curves .
But the following section shows that there is but one evolute . 22. Let AB be any
curve , PQ a portion of an involute , pP , qe positions of the free part of the string .
... by different points of the string ; and these will , in general , be different curves .
But the following section shows that there is but one evolute . 22. Let AB be any
curve , PQ a portion of an involute , pP , qe positions of the free part of the string .
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 27
In the case of epochs equal , or differing by a multiple of T , the curve is a portion
of a parabola , and is gone over twice in opposite directions by the moving point
in each complete period . If the periods be not exactly as 1 : 2 the form of the path
...
In the case of epochs equal , or differing by a multiple of T , the curve is a portion
of a parabola , and is gone over twice in opposite directions by the moving point
in each complete period . If the periods be not exactly as 1 : 2 the form of the path
...
Page 33
The points A and B describe similar and equal cycloids , of which AQC and BS
are portions . If POR be any subsequent position of the generating circle , Q and
S the new positions of A and B , QPS is of course a right angle . If , therefore , QR
...
The points A and B describe similar and equal cycloids , of which AQC and BS
are portions . If POR be any subsequent position of the generating circle , Q and
S the new positions of A and B , QPS is of course a right angle . If , therefore , QR
...
Page 37
As it is evident that all portions of AB will be equally inclined to the axis of the
cylinder , it is obvious that the thread of the screw , which corresponds to the
edge , DE , of the upper board , must be traced on the cylinder so as always to
make a ...
As it is evident that all portions of AB will be equally inclined to the axis of the
cylinder , it is obvious that the thread of the screw , which corresponds to the
edge , DE , of the upper board , must be traced on the cylinder so as always to
make a ...
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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 |