## Elements of Natural Philosophy, Volume 1 |

### From inside the book

Results 1-5 of 84

Page 8

These propositions are virtually

construction :To compound any two ... a point moving with the first of the given

velocities — and similarly OB for the second ; from A draw AC parallel and

to ...

These propositions are virtually

**equivalent**to the following obvious geometricalconstruction :To compound any two ... a point moving with the first of the given

velocities — and similarly OB for the second ; from A draw AC parallel and

**equal**to ...

Page 10

Since the velocity in ABD is constant , all the lines OP , 00 , etc. , will be

V ) , and therefore POS is a circle whose b B centre is O. The direction of

acceleration at A is parallel to S the tangent at P , that is , is perpendicular to OP ,

i.e. to ...

Since the velocity in ABD is constant , all the lines OP , 00 , etc. , will be

**equal**( toV ) , and therefore POS is a circle whose b B centre is O. The direction of

acceleration at A is parallel to S the tangent at P , that is , is perpendicular to OP ,

i.e. to ...

Page 13

The moment of the resultant velocity of a particle about any point in the plane of

the components is

, the proper sign of each moment depending on the direction of motion about the

...

The moment of the resultant velocity of a particle about any point in the plane of

the components is

**equal**to the algebraic sum of the moments of the components, the proper sign of each moment depending on the direction of motion about the

...

Page 14

... arc of the hodograph represents the change of velocity of the moving point

during the corresponding time ; and also that the tangent to the hodograph is

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

of the ...

... arc of the hodograph represents the change of velocity of the moving point

during the corresponding time ; and also that the tangent to the hodograph is

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

**equal**to the amountof the ...

Page 21

Its maximum value is that with which a velocity

would be acquired in the time in which an arc

V2 For in the fig . , the acceleration of l ( by $ 36 ) is Q0 along Qo , Supposing , for

...

Its maximum value is that with which a velocity

**equal**to that of the circular motionwould be acquired in the time in which an arc

**equal**to the radius is described .V2 For in the fig . , the acceleration of l ( by $ 36 ) is Q0 along Qo , Supposing , for

...

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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