## Elements of Natural Philosophy, Volume 1 |

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Page 2

When a point moves from one

continuous line , which may be curved or straight , or even made up of portions of

curved and straight lines meeting each other at any angles . If the motion be that

of ...

When a point moves from one

**position**to another it must evidently describe acontinuous line , which may be curved or straight , or even made up of portions of

curved and straight lines meeting each other at any angles . If the motion be that

of ...

Page 3

As two successive

mentioned , it is evident that the osculating plane passes from one

next by revolving about the tangent to the curve . 13. Thus , as we proceed along

...

As two successive

**positions**of it contain the second side of the polygon abovementioned , it is evident that the osculating plane passes from one

**position**to thenext by revolving about the tangent to the curve . 13. Thus , as we proceed along

...

Page 5

... by different points of the string ; and these will , in general , be different curves .

But the following section shows that there is but one evolute . 22. Let AB be any

curve , PQ a portion of an involute , pP , qe

... by different points of the string ; and these will , in general , be different curves .

But the following section shows that there is but one evolute . 22. Let AB be any

curve , PQ a portion of an involute , pP , qe

**positions**of the free part of the string . Page 6

The rate of motion of a point , or its rate of change of

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 be

variable .

The rate of motion of a point , or its rate of change of

**position**, is called itsVelocity . 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 be

variable .

Page 10

... point we have given the whole velocity and its direction , or simply the

components of the velocity in three rectangular directions , at any time , or , as is

most commonly the case , for any

PRELIMINARY .

... point we have given the whole velocity and its direction , or simply the

components of the velocity in three rectangular directions , at any time , or , as is

most commonly the case , for any

**position**; the determination of IOPRELIMINARY .

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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 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