## Elements of Natural Philosophy, Volume 1 |

### From inside the book

Results 1-5 of 67

Page 2

It is useful to

geometrical notion of the path described by a moving point ; and these we shall

now take up , deferring the consideration of Velocity to a future section , as being

more ...

It is useful to

**consider**at the outset various theorems connected with thegeometrical notion of the path described by a moving point ; and these we shall

now take up , deferring the consideration of Velocity to a future section , as being

more ...

Page 3

The nature of this will be best understood by

whose sides are indefinitely small . Any two consecutive sides , of course , lie in a

plane -- and in that plane the curvature is measured as above ; but in a curve ...

The nature of this will be best understood by

**considering**the curve as a polygonwhose sides are indefinitely small . Any two consecutive sides , of course , lie in a

plane -- and in that plane the curvature is measured as above ; but in a curve ...

Page 5

For all that we have to do to vary an involute , is to change the point of the curve

from which the tracing - point starts , or

different points of the string ; and these will , in general , be different curves . But

the ...

For all that we have to do to vary an involute , is to change the point of the curve

from which the tracing - point starts , or

**consider**the involutes described bydifferent points of the string ; and these will , in general , be different curves . But

the ...

Page 6

This idea is very useful , as it makes our results intelligible when a variable

velocity has to be measured , and we find ourselves obliged to approximate to its

value ( as in § 28 ) by

that ...

This idea is very useful , as it makes our results intelligible when a variable

velocity has to be measured , and we find ourselves obliged to approximate to its

value ( as in § 28 ) by

**considering**the space described in an interval so short ,that ...

Page 7

8 driving - power to be made , we can evidently obtain an approximation to the

velocity at a particular instant , by

time , that during that time the actual variation of speed may be small enough to

be ...

8 driving - power to be made , we can evidently obtain an approximation to the

velocity at a particular instant , by

**considering**( § 25 ) the motion for so short atime , that during that time the actual variation of speed may be small enough to

be ...

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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