## Elements of Natural Philosophy, Volume 1 |

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Page 2

... and as the

= 8 , 0 1 and therefore is the

of a circle is inversely as its radius , and is

... and as the

**measure**of an angle is the ratio of the arc to the radius , $ 54 ) Q r0= 8 , 0 1 and therefore is the

**measure**of the curvature . Hence the cur--- 8 r vatureof a circle is inversely as its radius , and is

**measured**, in terms of the proper ... Page 3

The course of such a curve is , in common language , well called ' tortuous ; ' and

the

a plane -- and in that plane the curvature is

The course of such a curve is , in common language , well called ' tortuous ; ' and

the

**measure**of the corresponding ... Any two consecutive sides , of course , lie ina plane -- and in that plane the curvature is

**measured**as above ; but in a curve ... Page 4

The mathematical condition to be expressed in any case of it is simply that the

distance

constant , however the line be bent . 17. The use of a cord in mechanism

presents us ...

The mathematical condition to be expressed in any case of it is simply that the

distance

**measured**along the line from any one point to any other , remainsconstant , however the line be bent . 17. The use of a cord in mechanism

presents us ...

Page 6

Uniform velocity is

general , expressed in feet or in metres per second ; if very great , as in the case

of light , it may be

Uniform velocity is

**measured**by the space passed over in unit of time , and is , ingeneral , expressed in feet or in metres per second ; if very great , as in the case

of light , it may be

**measured**in miles per second . It is to be observed that Time ... Page 8

... may of course be either uniform or variable . It is said to be uniform when the

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

by the actual increase of velocity per 8 PRELIMINARY .

... may of course be either uniform or variable . It is said to be uniform when the

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

**measured**by the actual increase of velocity per 8 PRELIMINARY .

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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