## Elements of Natural Philosophy, Volume 1 |

### From inside the book

Results 1-5 of 22

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 considering the space described in an

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

... of an

equation v = ( which expresses the definition of the ... as the velocity is more

nearly uniform during the

the equation ...

... of an

**interval**t , and s the space actually described in that**interval**; theequation v = ( which expresses the definition of the ... as the velocity is more

nearly uniform during the

**interval**t ; so that if we take the**interval**small enoughthe equation ...

Page 9

Hence if v be the change in the velocity during the

Acceleration is variable when the point's velocity does not receive equal

increments in successive equal periods of time . It is then measured by the

increment of ...

Hence if v be the change in the velocity during the

**interval**t , v = at , or a = t 33.Acceleration is variable when the point's velocity does not receive equal

increments in successive equal periods of time . It is then measured by the

increment of ...

Page 11

In this case the space described in any

in the same time by a point moving ... In other words , the average velocity ( when

the acceleration is uniform ) is , during any

In this case the space described in any

**interval**is that which would be describedin the same time by a point moving ... In other words , the average velocity ( when

the acceleration is uniform ) is , during any

**interval**, the arithmetical mean of the ... Page 12

For the velocity ( V ) in the original direction of motion remains unchanged ; and

therefore , in time t , a space Vt is described parallel to this line . But in the same

to ...

For the velocity ( V ) in the original direction of motion remains unchanged ; and

therefore , in time t , a space Vt is described parallel to this line . But in the same

**interval**, by the above reasoning , we see that a space fata is described parallelto ...

### 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