## Elements of Natural Philosophy |

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Page 2

The direction of motion of a moving point is at each

its path , if the path be a curve ; or 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 ...

The direction of motion of a moving point is at each

**instant**the tangent drawn toits path , if the path be a curve ; or 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 ...

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 uniformi , 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 uniformi , i.e. the same at every

**instant**; or it may bevariable .

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

by considering ( 825 ) the motion for so short a time , that during that time the ...

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 ( 825 ) the motion for so short a time , that during that time the ...

Page 9

... to its path , so the direction of acceleration of a moving point is to be found by

the following construction :From any point 0 , draw lines OP , OQ , etc. , repre .

senting in magnitude and direction the velocity of the moving point at every

... to its path , so the direction of acceleration of a moving point is to be found by

the following construction :From any point 0 , draw lines OP , OQ , etc. , repre .

senting in magnitude and direction the velocity of the moving point at every

**instant**. Page 10

... of motion , the velocity will not be altered and 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

... of motion , the velocity will not be altered and 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 of the velocity . 89.### 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 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