## Elements of Natural Philosophy, Volume 1 |

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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 given time is greater

or less : and 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 greater

or less : and it may be

**uniform**, i.e. the same at every instant ; or it may bevariable .

Page 7

... the definition of the average velocity , § 26 ) is more and more nearly true , as

the velocity is more nearly

interval small enough the equation may be made as nearly exact as we choose .

... the definition of the average velocity , § 26 ) is more and more nearly true , as

the velocity is more nearly

**uniform**during the interval t ; so that if we take theinterval small enough the equation may be made as nearly exact as we choose .

Page 8

... may of course be either

point receives equal increments of velocity in equal times , and is then measured

by the actual increase of velocity per 8 PRELIMINARY .

... may of course be either

**uniform**or variable . It is said to be**uniform**when thepoint receives equal increments of velocity in equal times , and is then measured

by the actual increase of velocity per 8 PRELIMINARY .

Page 9

Let a point describe a circle , ABD , radius R , with

determine the direction of acceleration , we must draw , as below , from a fixed

point 0 , lines OP , OQ , etc. , a D V or representing the velocity at A ,

KINEMATICS .

Let a point describe a circle , ABD , radius R , with

**uniform**velocity V. Then , todetermine the direction of acceleration , we must draw , as below , from a fixed

point 0 , lines OP , OQ , etc. , a D V or representing the velocity at A ,

KINEMATICS .

Page 10

In other words , if a point move in a curve , whether with a

velocity , its change of direction is to be regarded as constituting an acceleration

towards the centre of curvature , equal in amount to the square of the velocity ...

In other words , if a point move in a curve , whether with a

**uniform**or a varyingvelocity , its change of direction is to be regarded as constituting an acceleration

towards the centre of curvature , equal in amount to the square of the velocity ...

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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