Elements of Natural Philosophy, Volume 1 |
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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
These propositions are virtually equivalent to the following obvious geometrical
construction :To compound any two velocities as 9A , OB in the figure ; where OA
, for instance , represents in magniB tude and direction the space which would ...
These propositions are virtually equivalent to the following obvious geometrical
construction :To compound any two velocities as 9A , OB in the figure ; where OA
, for instance , represents in magniB tude and direction the space which would ...
Page 13
Hence the sum of the two half - moments together with half the area of the
parallelogram is equal to AOB together with BOD , that is to say , to the area of
the whole figure OABD . But ABD , a part of this figure , is equal to half the area ...
Hence the sum of the two half - moments together with half the area of the
parallelogram is equal to AOB together with BOD , that is to say , to the area of
the whole figure OABD . But ABD , a part of this figure , is equal to half the area ...
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
...
Page 25
But , since A'OA , QPO , and QP'0 are right angles , the figure B ' QP OP is a
parallelogram , and therefore is in the position of the displacement compounded
of OP and OP ' . Hence two equal simple harmonic motions in perpendicular lines
, of ...
But , since A'OA , QPO , and QP'0 are right angles , the figure B ' QP OP is a
parallelogram , and therefore is in the position of the displacement compounded
of OP and OP ' . Hence two equal simple harmonic motions in perpendicular lines
, 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 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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