## Elements of Natural Philosophy |

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Page 1

The science which investigates the action of Force is

writers , DYNAMICS . It is commonly , but erroneously ,

term employed by Newton in its true sense , the Science of Machines , and the art

...

The science which investigates the action of Force is

**called**, by the most logicalwriters , DYNAMICS . It is commonly , but erroneously ,

**called**MECHANICS ; aterm employed by Newton in its true sense , the Science of Machines , and the art

...

Page 2

If the path be not straight the direction of motion changes from point to point , and

the rate of this change , per unit of length of the curve , is

exemplify this , suppose two tangents , PT , QU , drawn to a circle , and radii ...

If the path be not straight 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 . Toexemplify this , suppose two tangents , PT , QU , drawn to a circle , and radii ...

Page 3

is

what is

term " curve of double curvature ' is a very bad one , and , though in very general

...

is

**called**a plane polygon . If the line do not lie in one plane , we have in one casewhat is

**called**a curve of double curvature , in the other a gauche polygon . Theterm " curve of double curvature ' is a very bad one , and , though in very general

...

Page 5

The original curve is

observed that we speak of an involute , and of the evolute , of a curve . In fact , as

will be easily seen , a curve can have but one evolute , but it has an infinite

number ...

The original curve is

**called**the Evolute of any one of the others . 21 . It will beobserved that we speak of an involute , and of the evolute , of a curve . In fact , as

will be easily seen , a curve can have but one evolute , but it has an infinite

number ...

Page 6

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

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 .

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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 important 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