## Elements of Natural Philosophy, Volume 1 |

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Page

We have had considerable difficulty in compiling this treatise from the larger work

- arising from the necessity for condensation to a degree almost incompatible

with the design to omit nothing of importance : and we feel that it would have

We have had considerable difficulty in compiling this treatise from the larger work

- arising from the necessity for condensation to a degree almost incompatible

with the design to omit nothing of importance : and we feel that it would have

**given**... Page 6

23. The rate of motion of a point , or its rate of change of position , is called its

Velocity . It is greater or less as the space passed over in a

or less : and it may be uniform , i.e. the same at every instant ; or it may be

variable .

23. The rate of motion of a point , or its rate of change of position , is called its

Velocity . It is greater or less as the space passed over in a

**given**time is greateror less : and it may be uniform , i.e. the same at every instant ; or it may be

variable .

Page 7

Thus , for a train moving up an incline in a N.E. direction , we may have the whole

velocity and the steepness of the incline

ideas thus — the train is moving simultaneously northward , eastward , and

upward ...

Thus , for a train moving up an incline in a N.E. direction , we may have the whole

velocity and the steepness of the incline

**given**; or we may express the sameideas thus — the train is moving simultaneously northward , eastward , and

upward ...

Page 8

... for instance , represents in magniB tude and direction the space which would

be described in one second by a point moving with the first of the

— and similarly OB for the second ; from A draw AC parallel and equal to OB .

... for instance , represents in magniB tude and direction the space which would

be described in one second by a point moving with the first of the

**given**velocities— and similarly OB for the second ; from A draw AC parallel and equal to OB .

Page 9

We therefore expand the definition just

change of velocity whether that change take place in the direction of motion or

not . 35. What is meant by change of velocity is evident from $ 31 . For if a velocity

...

We therefore expand the definition just

**given**, thus : -Acceleration is the rate ofchange of velocity whether that change take place in the direction of motion or

not . 35. What is meant by change of velocity is evident from $ 31 . For if a velocity

...

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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