## Elements of Natural Philosophy, Volume 1 |

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Page 4

Hence , LA when P moves through any

pulley B B moves in the same direction , through half the

two cords and two pulleys , the ends AA ' being fixed , and the other end of AB ...

Hence , LA when P moves through any

**space**in the direction of the cord , thepulley B B moves in the same direction , through half the

**space**. B ( 2 ) If there betwo cords and two pulleys , the ends AA ' being fixed , and the other end of AB ...

Page 6

23. The rate of motion of a point , or its rate of change of position , is called its

Velocity . It is greater or less as the

or less : and it may be uniform , i.e. the same at every instant ; or it may be

variable .

23. The rate of motion of a point , or its rate of change of position , is called its

Velocity . It is greater or less as the

**space**passed over in a given time is greateror less : and it may be uniform , i.e. the same at every instant ; or it may be

variable .

Page 7

In fact , if v be the velocity at either beginning or end , or at any instant , of an

interval t , and s the

which expresses the definition of the average velocity , § 26 ) is more and more

nearly ...

In fact , if v be the velocity at either beginning or end , or at any instant , of an

interval t , and s the

**space**actually described in that interval ; the equation v = (which expresses the definition of the average velocity , § 26 ) is more and more

nearly ...

Page 8

These propositions are virtually equivalent to the following obvious geometrical

construction :To compound any two velocities as 9A , OB in the figure ; where OA

, for instance , represents in magniB tude and direction the

These propositions are virtually equivalent to the following obvious geometrical

construction :To compound any two velocities as 9A , OB in the figure ; where OA

, for instance , represents in magniB tude and direction the

**space**which would ... Page 11

... body falling vertically in vacuo under the action of gravity . In this case the

time by a point moving uniformly with a velocity equal to that at the middle of the

interval .

... body falling vertically in vacuo under the action of gravity . In this case the

**space**described in any interval is that which would be described in the sametime by a point moving uniformly with a velocity equal to that at the middle of the

interval .

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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