## Elements of Natural Philosophy, Volume 1 |

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Page

The sole justification of the course we have pursued is that wherever , in the

present volume , the student may feel further information to be desirable , he will

have no difficulty in finding it in the

great ...

The sole justification of the course we have pursued is that wherever , in the

present volume , the student may feel further information to be desirable , he will

have no difficulty in finding it in the

**corresponding**pages of the larger work . Agreat ...

Page 3

The course of such a curve is , in common language , well called ' tortuous ; ' and

the measure of the

The nature of this will be best understood by considering the curve as a ...

The course of such a curve is , in common language , well called ' tortuous ; ' and

the measure of the

**corresponding**property is conveniently called Tortuosity . 12.The nature of this will be best understood by considering the curve as a ...

Page 14

It was shown ( $ 35 ) that an arc of the hodograph represents the change of

velocity of the moving point during the

tangent to the hodograph is parallel to the direction , and the velocity in the

hodograph is ...

It was shown ( $ 35 ) that an arc of the hodograph represents the change of

velocity of the moving point during the

**corresponding**time ; and also that thetangent to the hodograph is parallel to the direction , and the velocity in the

hodograph is ...

Page 17

Hence the arc of Pl , described in any time , is proportional to the

angle - vector in the orbit , i.e. to the angle through which the tangent to PQ has

turned . Hence ( § 9 ) the curvature of PQ is constant , or PQ is a circle .

Hence the arc of Pl , described in any time , is proportional to the

**corresponding**angle - vector in the orbit , i.e. to the angle through which the tangent to PQ has

turned . Hence ( § 9 ) the curvature of PQ is constant , or PQ is a circle .

Page 23

In the case of a single simple harmonic motion , the

be that described by the point P in $ 66 , if , while Q maintained its uniform

circular motion , the circle were to move with uniform velocity in any direction ...

In the case of a single simple harmonic motion , the

**corresponding**curve wouldbe that described by the point P in $ 66 , if , while Q maintained its uniform

circular motion , the circle were to move with uniform velocity in any direction ...

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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