## Elements of Natural Philosophy |

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Page 2

If the motion be that of a material particle , however , there can be no abrupt

change of velocity , nor of

we shall afterwards see ) such would imply the action of an infinite force . It is

useful to ...

If the motion be that of a material particle , however , there can be no abrupt

change of velocity , nor of

**direction**unless where the velocity is zero , since ( aswe shall afterwards see ) such would imply the action of an infinite force . It is

useful to ...

Page 3

The Integral Curvature , or whole change of

is the angle through which the tangent has turned as we pass from one extremity

to the other . The average curvature of any portion is its whole curvature divided ...

The Integral Curvature , or whole change of

**direction**, of an arc of a plane curve ,is the angle through which the tangent has turned as we pass from one extremity

to the other . The average curvature of any portion is its whole curvature divided ...

Page 4

In theory a pulley is simply a smooth body which changes the

flexible and inextensible Pr cord stretched across part of its surface ; in practice (

to escape as much as possible of the inevitable friction ) it is a wheel , on part of ...

In theory a pulley is simply a smooth body which changes the

**direction**of aflexible and inextensible Pr cord stretched across part of its surface ; in practice (

to escape as much as possible of the inevitable friction ) it is a wheel , on part of ...

Page 7

Thus , for a train moving up an incline in a N.E.

velocity and the steepness of the incline given ; or we may express the same

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 wholevelocity and the steepness of the incline given ; or we may express the same

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

...

Page 8

rectangular

velocity by the cosine of the angle between its

component .

**directions**; the second by using as factor the sine of the same angle . ... threerectangular

**directions**, each component being found by multiplying the wholevelocity by the cosine of the angle between its

**direction**and that of thecomponent .

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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 expression figure fixed fluid force friction give given gravity harmonic Hence increase infinitely small instant interval kinetic length less mass matter mean measured method motion moving natural normal observation opposite parallel particle passing path period perpendicular plane portion position potential practical pressure principle produce projection proportional quantity radius reference relative remain remarkable resistance respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity vertical weight whole wire