## 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 -

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 independentvariable . 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

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 fluxionof 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

times , and is then measured by the actual

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 equaltimes , and is then measured by the actual

**increase**of velocity per 8PRELIMINARY .

Page 9

is then measured by the actual

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 chooseas 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

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 themiddle 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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### 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