Elements of Natural Philosophy, Volume 1 |
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Page 6
It is to be observed that Time is here used in the abstract sense of a uniformly -
increasing quantity -- what in the differential calculus is called an independent
variable . Its physical definition is given in the next chapter . 24. Thus a point ,
which ...
It is to be observed that Time is here used in the abstract sense of a uniformly -
increasing quantity -- what in the differential calculus is called an independent
variable . Its physical definition is given in the next chapter . 24. Thus a point ,
which ...
Page 8
The velocity of a point is said to be accelerated or retarded according as it
increases or diminishes , but the word acceleration is generally used in either
sense , on the understanding that we may regard its quantity as either positive or
negative ...
The velocity of a point is said to be accelerated or retarded according as it
increases or diminishes , but the word acceleration is generally used in either
sense , on the understanding that we may regard its quantity as either positive or
negative ...
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 16
... as in 271 a planet's motion , it is useful to introduce the quantity which is then
called the mean angular velocity . T ' 59. When a point moves uniformly in a
straight line its angular velocity evidently diminishes as it recedes from the point
about ...
... as in 271 a planet's motion , it is useful to introduce the quantity which is then
called the mean angular velocity . T ' 59. When a point moves uniformly in a
straight line its angular velocity evidently diminishes as it recedes from the point
about ...
Page 49
As there can be neither annihilation nor generation of matter in any natural
motion or action , the whole quantity of a fluid within any space at any time must
be equal to the quantity originally in that space , increased by the whole quantity
that ...
As there can be neither annihilation nor generation of matter in any natural
motion or action , the whole quantity of a fluid within any space at any time must
be equal to the quantity originally in that space , increased by the whole quantity
that ...
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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