## Elements of Natural Philosophy, Volume 1 |

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Page 8

Hence also the resultant of velocities represented by all the sides of a polygon

but one , taken in order , is represented by that one taken in the

direction . When there are two velocities , or three velocities , in two or in three

rectangular ...

Hence also the resultant of velocities represented by all the sides of a polygon

but one , taken in order , is represented by that one taken in the

**opposite**direction . When there are two velocities , or three velocities , in two or in three

rectangular ...

Page 18

one . to one of their number , imagine , impressed upon each in composition with

its own motion , a motion equal and

thus be reduced to rest , while the motions of the others will remain the same ...

one . to one of their number , imagine , impressed upon each in composition with

its own motion , a motion equal and

**opposite**to the motion of that one , which willthus be reduced to rest , while the motions of the others will remain the same ...

Page 21

The acceleration of a point executing a simple harmonic motion is at any time

simply proportional to the displacement from the middle point , but in

direction , or always towards the middle point . Its maximum value is that with

which a ...

The acceleration of a point executing a simple harmonic motion is at any time

simply proportional to the displacement from the middle point , but in

**opposite**direction , or always towards the middle point . Its maximum value is that with

which a ...

Page 27

In the case of epochs equal , or differing by a multiple of T , the curve is a portion

of a parabola , and is gone over twice in

in each complete period . If the periods be not exactly as 1 : 2 the form of the path

...

In the case of epochs equal , or differing by a multiple of T , the curve is a portion

of a parabola , and is gone over twice in

**opposite**directions by the moving pointin each complete period . If the periods be not exactly as 1 : 2 the form of the path

...

Page 31

C ' exception , viz . when the rotations about A and B are of equal amount and in

the compound result is a ation only . Th is , a body revolve in succession through

...

C ' exception , viz . when the rotations about A and B are of equal amount and in

**opposite**directions . In B this case A'B ' is evidently parallel to AB , and thereforethe compound result is a ation only . Th is , a body revolve in succession through

...

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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