## Elements of Natural Philosophy, Volume 1 |

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Page 5

Similar considerations enable us to

other systems of pulleys and cords as long as all the free parts of the cords are

parallel . Of course , if a pulley be fixed , the motion of a point of one end of the

cord ...

Similar considerations enable us to

**determine**the relative motions of all parts ofother systems of pulleys and cords as long as all the free parts of the cords are

parallel . Of course , if a pulley be fixed , the motion of a point of one end of the

cord ...

Page 9

Let a point describe a circle , ABD , radius R , with uniform velocity V. Then , to

point 0 , lines OP , OQ , etc. , a D V or representing the velocity at A ,

KINEMATICS .

Let a point describe a circle , ABD , radius R , with uniform velocity V. Then , to

**determine**the direction of acceleration , we must draw , as below , from a fixedpoint 0 , lines OP , OQ , etc. , a D V or representing the velocity at A ,

KINEMATICS .

Page 10

... point we have given the whole velocity and its direction , or simply the

components of the velocity in three rectangular directions , at any time , or , as is

most commonly the case , for any position ; the

PRELIMINARY .

... point we have given the whole velocity and its direction , or simply the

components of the velocity in three rectangular directions , at any time , or , as is

most commonly the case , for any position ; the

**determination**of IOPRELIMINARY .

Page 11

the case , for any position ; the

and of other circumstances of the motion , is a question of pure mathematics , and

in all cases is capable ( if not of an exact solution , at all events ) of a solution to ...

the case , for any position ; the

**determination**of the form of the path described ,and of other circumstances of the motion , is a question of pure mathematics , and

in all cases is capable ( if not of an exact solution , at all events ) of a solution to ...

Page 25

All of each set may ( 75 ) be compounded into one simple harmonic motion of the

same phase , of determinate amplitude , in a determinate line ; and thus the

whole system is reduced to two simple fully -

differing ...

All of each set may ( 75 ) be compounded into one simple harmonic motion of the

same phase , of determinate amplitude , in a determinate line ; and thus the

whole system is reduced to two simple fully -

**determined**harmonic motionsdiffering ...

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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