## Elements of Natural Philosophy, Volume 1 |

### From inside the book

Results 1-5 of 41

Page 2

This is evident from the definition of the tangent to a

straight the direction of motion changes from point to point , and the rate of this

change , per unit of length of the

...

This is evident from the definition of the tangent to a

**curve**. 9. If the path be notstraight the direction of motion changes from point to point , and the rate of this

change , per unit of length of the

**curve**, is called the Curvature . To exemplify this...

Page 3

plane polygon . If the line do not lie in one plane , we have in one case what is

called a

**curve**, and if it be made up of portions of straight or curved lines it is called aplane polygon . If the line do not lie in one plane , we have in one case what is

called a

**curve**of double curvature , in the other a gauche polygon . The term '**curve**of ... Page 5

In the mechanical tracing of

supposed . Thus , in drawing an ellipse , the focal property of the

that if we fix the ends of such a cord to the foci and keep it stretched by a pencil ,

the ...

In the mechanical tracing of

**curves**, a flexible and inextensible cord is oftensupposed . Thus , in drawing an ellipse , the focal property of the

**curve**shows usthat if we fix the ends of such a cord to the foci and keep it stretched by a pencil ,

the ...

Page 9

The points , P , Q , etc. , must form a continuous

change abruptly in direction . Now if ( be a point near to P , OP and OQ represent

two successive values of the velocity . Hence PQ is the whole change of velocity

...

The points , P , Q , etc. , must form a continuous

**curve**, for ( $ 7 ) OP cannotchange abruptly in direction . Now if ( be a point near to P , OP and OQ represent

two successive values of the velocity . Hence PQ is the whole change of velocity

...

Page 10

In other words , if a point move in a

velocity , its change of direction is to be regarded as constituting an acceleration

towards the centre of curvature , equal in amount to the square of the velocity ...

In other words , if a point move in a

**curve**, whether with a uniform or a varyingvelocity , its change of direction is to be regarded as constituting an acceleration

towards the centre of curvature , equal in amount to the square of the velocity ...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### 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