## Elements of Natural Philosophy, Volume 1 |

### From inside the book

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Page 6

It is to be observed that Time is here used in the abstract sense of a uniformly -

increasing

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 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

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 ornegative ...

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

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 metwith ...

Page 16

... as in 271 a planet's motion , it is useful to introduce the

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 thencalled 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

be equal to the

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 mustbe equal to the

**quantity**originally in that space , increased by the whole**quantity**that ...

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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 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