## Elements of Natural Philosophy |

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Page 2

The direction of motion of a moving point is at each instant the tangent drawn to

its path , if the path be a

from the definition of the tangent to a

The direction of motion of a moving point is at each instant the tangent drawn to

its path , if the path be a

**curve**; or the path itself if a straight line . This is evidentfrom the definition of the tangent to a

**curve**: 9 . If the path be not straight the ... Page 3

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

what is called a

term "

...

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

what 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

In the mechanical tracing of

supposed . Thus , in drawing an ellipse , the focal property of the

that if we fix the ends of such a cord to the foci and keep it stretched by a pencil ,

the ...

In the mechanical tracing of

**curves**, a flexible and inextensible cord is oftensupposed . Thus , in drawing an ellipse , the focal property of the

**curve**shows usthat if we fix the ends of such a cord to the foci and keep it stretched by a pencil ,

the ...

Page 9

As the interval becomes smaller , the direction PQ more and more nearly

becomes the tangent at P . Hence the direction of acceleration is that of the

tangent to the

of change ...

As the interval becomes smaller , the direction PQ more and more nearly

becomes the tangent at P . Hence the direction of acceleration is that of the

tangent to the

**curve**thus described . The magnitude of the acceleration is the rateof change ...

Page 10

When a point movės in a

parts , one in the direction of the motion and equal to the acceleration of the

velocity ; the other towards the centre of curvature ( perpendicular therefore to the

...

When a point movės in a

**curve**the whole acceleration may be resolved into twoparts , one in the direction of the motion and equal to the acceleration of the

velocity ; the other towards the centre of curvature ( perpendicular therefore to the

...

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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