## Elements of Natural Philosophy |

### From inside the book

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Page 2

... an infinite force . It is useful to

connected with the 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 ...

... an infinite force . It is useful to

**consider**at the outset various theoremsconnected with the 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 ...

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 invo . lutes 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

Without supposing any such definite adjustment of the driving - power to be made

, we can evidently obtain an approximation to the velocity at a particular instant ,

by

Without supposing any such definite adjustment of the 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 a time , that during that time the ...### What people are saying - Write a review

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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 important 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