## Elements of Natural Philosophy, Volume 1 |

### From inside the book

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Page 15

... we consider the motion to be confined to a plane passing through the fixed

point , the angle which the joining line makes with a fixed line in the plane is

continually altering , and its rate of alteration at any instant is called the

Velocity ...

... we consider the motion to be confined to a plane passing through the fixed

point , the angle which the joining line makes with a fixed line in the plane is

continually altering , and its rate of alteration at any instant is called the

**Angular**Velocity ...

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

acceleration in the orbit , varies inversely as the square of the radius - vector ;

and therefore ( $ 59 ) directly as the

described in any time , is proportional to the corresponding angle - vector in the

orbit , i.e. ...

acceleration in the orbit , varies inversely as the square of the radius - vector ;

and therefore ( $ 59 ) directly as the

**angular**velocity . Hence the arc of Pl ,described in any time , is proportional to the corresponding angle - vector in the

orbit , i.e. ...

Page 20

... comes to its greatest elongation in the direction reckoned as positive , from its

mean position or the middle of its range . Epoch in

described on the circle of reference in the period of time defined as the epoch .

... comes to its greatest elongation in the direction reckoned as positive , from its

mean position or the middle of its range . Epoch in

**angular**measure is the angledescribed on the circle of reference in the period of time defined as the epoch .

Page 22

resultant of the motions P and P. But CS , the diagonal of the parallelogram , is

constant ( since the

angle QCQ is constant ) , and revolves with the same

resultant of the motions P and P. But CS , the diagonal of the parallelogram , is

constant ( since the

**angular**velocities of CQ and CQ are equal , and therefore theangle QCQ is constant ) , and revolves with the same

**angular**velocity as CQ or ...### What people are saying - Write a review

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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