Elements of Natural Philosophy, Volume 1 |
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Page 2
The curvature at any point is the reciprocal of the radius of this circle for a small
arc on each side of the point . 11. If all the points of the curve lie in one plane , it is
called a plane curve , and if it be made up of portions 2 PRELIMINARY .
The curvature at any point is the reciprocal of the radius of this circle for a small
arc on each side of the point . 11. If all the points of the curve lie in one plane , it is
called a plane curve , and if it be made up of portions 2 PRELIMINARY .
Page 3
The nature of this will be best understood by considering the curve as a polygon
whose sides are indefinitely small . Any two consecutive sides , of course , lie in a
plane -- and in that plane the curvature is measured as above ; but in a curve ...
The nature of this will be best understood by considering the curve as a polygon
whose sides are indefinitely small . Any two consecutive sides , of course , lie in a
plane -- and in that plane the curvature is measured as above ; but in a curve ...
Page 4
all the sides being produced each in the direction in which the moving point
describes it while passing round the figure . This is true whether the polygon be
closed or not . If closed , then , as long as it is not crossed , this sum is four right
angles ...
all the sides being produced each in the direction in which the moving point
describes it while passing round the figure . This is true whether the polygon be
closed or not . If closed , then , as long as it is not crossed , this sum is four right
angles ...
Page 8
OC is evidently the diagonal of the parallelogram two of whose sides are OA , OB
. Hence the resultant of any two velocities as OA , AC , in the figure , is a velocity
represented by the third side , OC , of the triangle ОАС . Hence if a point have ...
OC is evidently the diagonal of the parallelogram two of whose sides are OA , OB
. Hence the resultant of any two velocities as OA , AC , in the figure , is a velocity
represented by the third side , OC , of the triangle ОАС . Hence if a point have ...
Page 20
The Amplitude of a simple harmonic motion is the range on one side or the other
of the middle point of the course , i.e. OA or OA ' in the figure . An arc of the circle
referred to , measured from any fixed point to the uniformly moving point l , is the
...
The Amplitude of a simple harmonic motion is the range on one side or the other
of the middle point of the course , i.e. OA or OA ' in the figure . An arc of the circle
referred to , measured from any fixed point to the uniformly moving point l , is the
...
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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 |
| Export Citation | BiBTeX EndNote RefMan |