## Elements of Natural Philosophy, Part 1 |

### From inside the book

Page 2

... point is at each

the path itself if a straight line . This is evident from the definition of the tangent to

a curve . 9. If the path be not straight the direction of motion changes from point ...

... point is at each

**instant**the tangent drawn to its path , if the path be a curve ; orthe path itself if a straight line . This is evident from the definition of the tangent to

a curve . 9. If the path be not straight the direction of motion changes from point ...

Page 6

23. The rate of motion of a point , or its rate of change of position , is called its

Velocity . It is greater or less as the space passed over in a given time is greater

or less : and it may be uniform , i.e. the same at every

variable .

23. The rate of motion of a point , or its rate of change of position , is called its

Velocity . It is greater or less as the space passed over in a given time is greater

or less : and it may be uniform , i.e. the same at every

**instant**; or it may bevariable .

Page 7

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

velocity at a particular

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 ...

Page 9

... the direction of acceleration of a moving point is to be found by the following

construction :From any point o draw lines OP , OQ , etc. , representing in

magnitude and direction the velocity of the moving point at every

Compare § 49. ) ...

... the direction of acceleration of a moving point is to be found by the following

construction :From any point o draw lines OP , OQ , etc. , representing in

magnitude and direction the velocity of the moving point at every

**instant**. (Compare § 49. ) ...

Page 10

... direction of motion , the velocity will not be alteredand the only effect of the

acceleration will be to make the point move in a curve whose curvature is

proportional to the acceleration at each

the velocity .

... direction of motion , the velocity will not be alteredand the only effect of the

acceleration will be to make the point move in a curve whose curvature is

proportional to the acceleration at each

**instant**, and inversely as the square ofthe 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 experience 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 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