## Elements of Natural Philosophy |

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Page 3

... 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

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

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

Page 4

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

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

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

portions ...

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

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

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

portions ...

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

... where OA , for instance , represents in magnitude 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

equal ...

... where OA , for instance , represents in magnitude 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**andequal ...

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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 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