## Elements of Natural Philosophy |

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Page 2

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

OP , OQ , to the points of contact . ... Now , if a be the angle , s the arc , and r the

...

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

**radii**OP , OQ , to the points of contact . ... Now , if a be the angle , s the arc , and r the

**radius**, we see at once that ( as the angle between the**radii**is equal to the angle...

Page 10

Let a point describe a circle , ABD ,

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

When a point moves uniformly in a circle of

acceleration is directed towards the centre , and has the constant value See $ 36

. R → 43. With uniform acceleration in the direction of motion , a point describes ...

When a point moves uniformly in a circle of

**radius**R , with velocity V , the wholeacceleration is directed towards the centre , and has the constant value See $ 36

. R → 43. With uniform acceleration in the direction of motion , a point describes ...

Page 13

passing through that point ; and in this plane the areas traced out by the

vector are proportional to the times employed . Evidently there is no acceleration

perpendicular to the plane containing the fixed point and the line of motion of the

...

passing through that point ; and in this plane the areas traced out by the

**radius**-vector are proportional to the times employed . Evidently there is no acceleration

perpendicular to the plane containing the fixed point and the line of motion of the

...

Page 14

William Thomson Baron Kelvin, Peter Guthrie Tait. by the

proportional to the timess for , as we have seen , the moment of the velocity is

double the area traced out by the

case ...

William Thomson Baron Kelvin, Peter Guthrie Tait. by the

**radius**- vector areproportional to the timess for , as we have seen , the moment of the velocity is

double the area traced out by the

**radius**- vector in unit of time . 48. Hence in thiscase ...

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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