Elements of Natural Philosophy, Part 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 7
Newton's notation for the velocity , i.e. the rate at which s increases , or the fluxion
of s , is š . This notation is very convenient , as it saves the introduction of a
second letter . 29. The preceding definition of velocity is equally applicable
whether ...
Newton's notation for the velocity , i.e. the rate at which s increases , or the fluxion
of s , is š . This notation is very convenient , as it saves the introduction of a
second letter . 29. The preceding definition of velocity is equally applicable
whether ...
Page 8
The velocity of a point is said to be accelerated or retarded according as it
increases or diminishes , but the word ... equal increments of velocity in equal
times , and is then measured by the actual increase of velocity per 8
PRELIMINARY .
The velocity of a point is said to be accelerated or retarded according as it
increases or diminishes , but the word ... equal increments of velocity in equal
times , and is then measured by the actual increase of velocity per 8
PRELIMINARY .
Page 9
is then measured by the actual increase of velocity per unit of time . If we choose
as the unit of acceleration that which adds a unit of velocity per unit of time to the
velocity of a point , an acceleration measured by a will add a units of velocity in ...
is then measured by the actual increase of velocity per unit of time . If we choose
as the unit of acceleration that which adds a unit of velocity per unit of time to the
velocity of a point , an acceleration measured by a will add a units of velocity in ...
Page 11
For , since the velocity increases uniformly , its value at any time before the
middle of the interval is as much less than this mean as its value at the same time
after the middle of the interval is greater than the mean : and hence its value at
the ...
For , since the velocity increases uniformly , its value at any time before the
middle of the interval is as much less than this mean as its value at the same time
after the middle of the interval is greater than the mean : and hence its value at
the ...
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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 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