## Elements of Natural Philosophy |

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Page 3

... curvature of any portion is its whole curvature divided by its length . Suppose a

line , drawn through any fixed point , to turn so as always to be

direction of motion of a point describing the curve : the angle through which this ...

... curvature of any portion is its whole curvature divided by its length . Suppose a

line , drawn through any fixed point , to turn so as always to be

**parallel**to thedirection of motion of a point describing the curve : the angle through which this ...

Page 4

( 1 ) Suppose we have a single pulley B , about which the flexible and

inextensible cord ABP is wrapped , and P. suppose its free portions to be

. If ( A being fixed ) a point P of the cord iP be moved to P ' , ' it is evident that each

of the ...

( 1 ) Suppose we have a single pulley B , about which the flexible and

inextensible cord ABP is wrapped , and P. suppose its free portions to be

**parallel**. If ( A being fixed ) a point P of the cord iP be moved to P ' , ' it is evident that each

of the ...

Page 5

If the strings be not

pulleys are a little complex , but present no difficulty . 19. In the mechanical

tracing of curves , a flexible and inextensible cord is often supposed . Thus , in

drawing an ...

If the strings be not

**parallel**, the relations of a single pulley or of a system ofpulleys are a little complex , but present no difficulty . 19. In the mechanical

tracing of curves , a flexible and inextensible cord is often supposed . Thus , in

drawing an ...

Page 7

... with velocities , or ( as we shall do farther on ) with accelerations and forces ,

consists in studying , not the velocity , accele , ration , or force , directly , but its

resolved parts

other .

... with velocities , or ( as we shall do farther on ) with accelerations and forces ,

consists in studying , not the velocity , accele , ration , or force , directly , but its

resolved parts

**parallel**to any three assumed directions at right angles to eachother .

Page 8

... for instance , represents in magniB tude and direction the space which would

be described in one second by a point moving with the first of the given velocities

-- and similarly OB for the second ; from A draw AC

... for instance , represents in magniB tude and direction the space which would

be described in one second by a point moving with the first of the given velocities

-- and similarly OB for the second ; from A draw AC

**parallel**and equal to OB .### What people are saying - Write a review

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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 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