## Elements of Natural Philosophy, Volume 1 |

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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

all the sides being produced each in the

describes it while passing round the figure . This is true whether the polygon be

closed or not . If closed , then , as long as it is not crossed , this sum is four right

angles ...

all the sides being produced each in the

**direction**in which the moving pointdescribes it while passing round the figure . This is true whether the polygon be

closed or not . If closed , then , as long as it is not crossed , this sum is four right

angles ...

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

Or it may be resolved into components in any three rectangular

component being found by multiplying the whole velocity by the cosine of the

angle between its

any ...

Or it may be resolved into components in any three rectangular

**directions**, eachcomponent being found by multiplying the whole velocity by the cosine of the

angle between its

**direction**and that of the component . The velocity resolved inany ...

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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