## Elements of Natural Philosophy, Volume 1 |

### From inside the book

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Page 2

When a point moves from one position to another it must

continuous line , which may be curved or straight , or even made up of portions of

curved and straight lines meeting each other at any angles . If the motion be that

of ...

When a point moves from one position to another it must

**evidently**describe acontinuous line , which may be curved or straight , or even made up of portions of

curved and straight lines meeting each other at any angles . If the motion be that

of ...

Page 3

The definition in last section may

the integral change of direction , or the angle between the first and last sides , is

then the sum of its exterior angles , all the sides being produced each in the ...

The definition in last section may

**evidently**be extended to a plane polygon , andthe integral change of direction , or the angle between the first and last sides , is

then the sum of its exterior angles , all the sides being produced each in the ...

Page 7

8 driving - power to be made , we can

velocity at a particular instant , by considering ( § 25 ) the motion for so short a

time , that during that time the actual variation of speed may be small enough to

be ...

8 driving - power to be made , we can

**evidently**obtain an approximation to thevelocity at a particular instant , by considering ( § 25 ) the motion for so short a

time , that during that time the actual variation of speed may be small enough to

be ...

Page 8

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

and equal to OB . Join OC : then OC A is the resultant velocity in magnitude and

direction . OC is

are ...

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

and equal to OB . Join OC : then OC A is the resultant velocity in magnitude and

direction . OC is

**evidently**the diagonal of the parallelogram two of whose sidesare ...

Page 12

point and the line of motion of the moving point at any instant ; and there being no

velocity perpendicular to this plane at starting , there is therefore none ...

**Evidently**there is no acceleration perpendicular to the plane containing the fixedpoint and the line of motion of the moving point at any instant ; and there being no

velocity perpendicular to this plane at starting , there is therefore none ...

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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