## Elements of Natural Philosophy |

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Page 2

To exemplify this ,

OP , Ol , to the points of contact . The angle between the tangents is the change

of direction between P . and l , and the rate of change is to be measured by the ...

To exemplify this ,

**suppose**two tangents , PT , QU , drawn to a circle , and radiiOP , Ol , to the points of contact . The angle between the tangents is the change

of direction between P . and l , and the rate of change is to be measured by the ...

Page 3

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

drawn through any fixed point , to turn so as always to be parallel to the direction

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 direction

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

Page 4

( 1 )

inextensible cord ABP is wrapped , and

( 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 andinextensible 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 6

We may

as to keep the train running for some time at a uniform Velocity . This is the

velocity which the train had at the instant in question . Without supposing any

such ...

We may

**suppose**that , at any instant during the motion , the steam is so adjustedas to keep the train running for some time at a uniform Velocity . This is the

velocity which the train had at the instant in question . Without supposing any

such ...

Page 27

We may

perpendicular directions . Also , it is easy to see that we can only have a

reëntering curve when their periods are commensurable . The following figures

represent ...

We may

**suppose**, for simplicity , the two component motions to take place inperpendicular directions . Also , it is easy to see that we can only have a

reëntering curve when their periods are commensurable . The following figures

represent ...

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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