## Elements of Natural Philosophy |

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Page 2

To exemplify this , suppose T two tangents , PT , QU , drawn to a

OP , OQ , to the points of contact . The angle between the tangents is the U

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

by the ...

To exemplify this , suppose T two tangents , PT , QU , drawn to a

**circle**, and radiiOP , OQ , to the points of contact . The angle between the tangents is the U

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

by the ...

Page 5

And thus the evolute of PQ is B a definite curve , viz . the envelop of ( or line

which is touched by ) the normals drawn at every point of PC or , which is the

same thing , the locus of the centres of the

same ...

And thus the evolute of PQ is B a definite curve , viz . the envelop of ( or line

which is touched by ) the normals drawn at every point of PC or , which is the

same thing , the locus of the centres of the

**circles**which have at each point thesame ...

Page 9

... is that of the tangent to the curve thus described . The magnitude of the

acceleration is the rate of change of velocity , and is therefore measured by the

velocity of P in the curve PQ . > 86. Let a point describe a

RINEMATICS .

... is that of the tangent to the curve thus described . The magnitude of the

acceleration is the rate of change of velocity , and is therefore measured by the

velocity of P in the curve PQ . > 86. Let a point describe a

**circle**, ABDRINEMATICS .

Page 10

Let a point describe a

determine the direction of acceleration , we must draw , as below , from a fixed

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

and ...

Let a point describe a

**circle**, ABD , radius R , with uniform velocity V. Then , todetermine the direction of acceleration , we must draw , as below , from a fixed

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

and ...

Page 11

( a ) If the velocity of a moving point be uniform , and if its direction revolve

uniformly in a plane , the path described is a

plane , and its component velocity parallel to each of two rectangular axes is

proportional ...

( a ) If the velocity of a moving point be uniform , and if its direction revolve

uniformly in a plane , the path described is a

**circle**. 7 ( 6 ) If a point moves in aplane , and its component velocity parallel to each of two rectangular axes is

proportional ...

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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