## Elements of Natural Philosophy |

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Page 16

We may also speak of the

fixed one , as the rate of increase of the angle contained by them ; but unless

their line of intersection remain fixed , or at all events parallel to itself , a

somewhat ...

We may also speak of the

**angular**velocity of a moving plane with respect to afixed one , as the rate of increase of the angle contained by them ; but unless

their line of intersection remain fixed , or at all events parallel to itself , a

somewhat ...

Page 17

When a point moves . uniformly , in a straight line its

diminishes as it recedes from the point about which the angles are measured ,

and it may easily be shown that at varies inversely , as the square of the distance

...

When a point moves . uniformly , in a straight line its

**angular**velocity evidentlydiminishes as it recedes from the point about which the angles are measured ,

and it may easily be shown that at varies inversely , as the square of the distance

...

Page 20

Õ A or QA ' in the figure An arc of the circle referred to , or any convenient

reckoning of it , measured from any fixed point to the uniformly moving point Q , is

the Argument of the harmonic motion . [ The distance of a point , performing a ...

Õ A or QA ' in the figure An arc of the circle referred to , or any convenient

**angular**reckoning of it , measured from any fixed point to the uniformly moving point Q , is

the Argument of the harmonic motion . [ The distance of a point , performing a ...

Page 21

The motion of the treadle in a spinning - whed approximates to the same

condition when the wheel moves uniformly ; the approximation being the closer ,

the smaller is the

also ...

The motion of the treadle in a spinning - whed approximates to the same

condition when the wheel moves uniformly ; the approximation being the closer ,

the smaller is the

**angular**motion of the treadle and of the connecting string . It isalso ...

Page 22

... lines Q's , ce , on CR . Hence CR - CP + CP ; and therefore the point R

executes the resultant of the motions ľ and P. But Cs , the diagonal of the

parallelogram , is constant ( since the

PRELIMINAR Y.

... lines Q's , ce , on CR . Hence CR - CP + CP ; and therefore the point R

executes the resultant of the motions ľ and P. But Cs , the diagonal of the

parallelogram , is constant ( since the

**angular**velocities of CQ and CQ are 22PRELIMINAR Y.

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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