Elements of Natural Philosophy, Volume 1 |
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Page 2
To exemplify this , suppose two tangents PT , QU , drawn to a circle , T and radii
OP , OQ , to the points of contact . Р The angle between the tangents is the U
change of direction between P and , and the rate of change is to be measured by
the ...
To exemplify this , suppose two tangents PT , QU , drawn to a circle , T and radii
OP , OQ , to the points of contact . Р The angle between the tangents is the U
change of direction between P and , and the rate of change is to be measured by
the ...
Page 5
And thus the evolute of PQ is B a definite curve , viz . the envelop of ( or line
which is touched by ) the normals drawn at every point of PQ , or , which is the
same thing , the locus of the centres of the circles which have at each point the
same ...
And thus the evolute of PQ is B a definite curve , viz . the envelop of ( or line
which is touched by ) the normals drawn at every point of PQ , or , which is the
same thing , the locus of the centres of the circles which have at each point the
same ...
Page 9
Let a point describe a circle , ABD , radius R , with uniform velocity V. Then , to
determine the direction of acceleration , we must draw , as below , from a fixed
point 0 , lines OP , OQ , etc. , a D V or representing the velocity at A ,
KINEMATICS .
Let a point describe a circle , ABD , radius R , with uniform velocity V. Then , to
determine the direction of acceleration , we must draw , as below , from a fixed
point 0 , lines OP , OQ , etc. , a D V or representing the velocity at A ,
KINEMATICS .
Page 10
Since the velocity in ABD is constant , all the lines OP , 00 , etc. , will be equal ( to
V ) , and therefore POS is a circle whose b B centre is O. The direction of
acceleration at A is parallel to S the tangent at P , that is , is perpendicular to OP ,
i.e. to ...
Since the velocity in ABD is constant , all the lines OP , 00 , etc. , will be equal ( to
V ) , and therefore POS is a circle whose b B centre is O. The direction of
acceleration at A is parallel to S the tangent at P , that is , is perpendicular to OP ,
i.e. to ...
Page 11
( a ) If the velocity of a moving point be uniform , and if its direction revolve
uniformly in a plane , the path described is a circle . ( 6 ) If a point moves in a
plane , and its component velocity parallel to each of two rectangular axes is
proportional to ...
( a ) If the velocity of a moving point be uniform , and if its direction revolve
uniformly in a plane , the path described is a circle . ( 6 ) If a point moves in a
plane , and its component velocity parallel to each of two rectangular axes is
proportional to ...
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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 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 |