## Elements of Natural Philosophy |

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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 ...

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 ...

Page 10

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

point . O , lines OP , ol , etc . , " representing the velocity at A , B , etc . , in direction

...

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 . O , lines OP , ol , etc . , " representing the velocity at A , B , etc . , in direction

...

Page 11

If for any case of motion of a 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

If for any case of motion of a 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**... Page 25

... and ordered to be placed in South Kensington Museum , availably for general

use in calculating beforehand for any port or other place on the sea for which the

simple harmonic constituents of the tide have been

... and ordered to be placed in South Kensington Museum , availably for general

use in calculating beforehand for any port or other place on the sea for which the

simple harmonic constituents of the tide have been

**determined**by the harmonic ... Page 27

... and thus the whole system is reduced to two simple fully -

harmonic motions differing from one another in phase by a quarter period . Now

the resultant of two simple harmonic motions , one a quarter of a period in

advance of the ...

... and thus the whole system is reduced to two simple fully -

**determined**harmonic motions differing from one another in phase by a quarter period . Now

the resultant of two simple harmonic motions , one a quarter of a period in

advance of the ...

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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 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 period perpendicular plane portion position potential practical pressure principle produce projection proportional quantity radius reference relative remain remarkable resistance respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity vertical weight whole wire