Elements of Natural Philosophy, Part 1 |
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Page 13
This is the case of a motion in which the acceleration is directed to a fixed point ,
and we thus prove the second theorem of $ 45 , that in the case supposed the
areas described by the radius - vector are proportional to the times ; for , as we ...
This is the case of a motion in which the acceleration is directed to a fixed point ,
and we thus prove the second theorem of $ 45 , that in the case supposed the
areas described by the radius - vector are proportional to the times ; for , as we ...
Page 14
For the product of this perpendicular and the velocity at any instant gives double
the area described in one second about the fixed point , which has just been
shown to be a constant quantity . Other examples of these principles will be met
with ...
For the product of this perpendicular and the velocity at any instant gives double
the area described in one second about the fixed point , which has just been
shown to be a constant quantity . Other examples of these principles will be met
with ...
Page 15
A reversal of the demonstration of § 51 shows that , if the acceleration be towards
a fixed point , and if the hodograph be a circle , the orbit must be a conic section
of which the fixed point is a focus . Bi we may also prove this important ...
A reversal of the demonstration of § 51 shows that , if the acceleration be towards
a fixed point , and if the hodograph be a circle , the orbit must be a conic section
of which the fixed point is a focus . Bi we may also prove this important ...
Page 16
We may also speak of the angular velocity of a moving plane with respect to a
fixed one , as the rate of increase of the angle contained by them ; but unless
their line of intersection remain fixed , or at all events parallel to itself , a
somewhat ...
We may also speak of the angular velocity of a moving plane with respect to a
fixed one , as the rate of increase of the angle contained by them ; but unless
their line of intersection remain fixed , or at all events parallel to itself , a
somewhat ...
Page 17
This demonstration , reversed , proves that if the hodograph be a circle , and the
acceleration be towards a fixed point , the acceleration varies inversely as the
square of the distance of the moving point from the fixed point . 62. From $$ 61 ,
52 ...
This demonstration , reversed , proves that if the hodograph be a circle , and the
acceleration be towards a fixed point , the acceleration varies inversely as the
square of the distance of the moving point from the fixed point . 62. From $$ 61 ,
52 ...
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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 |