## Elements of Natural Philosophy |

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Page 3

... curvature of any portion is its whole curvature divided by its length . Suppose a

line , drawn through any

direction of motion of a point describing the curve : the angle through which this ...

... curvature of any portion is its whole curvature divided by its length . Suppose a

line , drawn through any

**fixed**point , to turn so as always to be parallel to thedirection of motion of a point describing the curve : the angle through which this ...

Page 4

If ( A being

of the portions AB and PB will be shortened by one - half of PP . Hence , when P

moves through any space in B the direction of the cord , the pulley B moves in ...

If ( A being

**fixed**) a point P of the cord iP be moved to P ' , ' it is evident that eachof the portions AB and PB will be shortened by one - half of PP . Hence , when P

moves through any space in B the direction of the cord , the pulley B moves in ...

Page 5

Thus , in drawing an ellipse , the focal property of the curve shows us that if we

the ends of such a cord to the foci and ... If a flexible and inextensible string be

Thus , in drawing an ellipse , the focal property of the curve shows us that if we

**fix**the ends of such a cord to the foci and ... If a flexible and inextensible string be

**fixed**at one point of a plane curve , and stretched along the curve , and be then ... Page 9

Even if a ' point's velocity remain unchanged , yet if its direc tion of motion change

, the resolved parts of its velocity in

accelerated . Since acceleration is merely a change of the component velocity in

a stated ...

Even if a ' point's velocity remain unchanged , yet if its direc tion of motion change

, the resolved parts of its velocity in

**fixed**directions will , in general , beaccelerated . Since acceleration is merely a change of the component velocity in

a stated ...

Page 10

Let a point describe a circle , ABD , radius R , with uniform velocity V. Then , to

determine the direction of acceleration , we must draw , as below , from a

point . O , lines OP , OQ , etc , representing the velocity at A , B , etc. , in direction

and ...

Let a point describe a circle , ABD , radius R , with uniform velocity V. Then , to

determine the direction of acceleration , we must draw , as below , from a

**fixed**point . O , lines OP , OQ , etc , representing the velocity at A , B , etc. , in direction

and ...

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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