## Elements of Natural Philosophy, Volume 1 |

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Results 1-5 of 52

Page 2

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

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

...

To exemplify this , suppose two tangents PT , QU , drawn to a circle , T 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 9

Let a point describe a circle , ABD ,

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

point 0 , lines OP , OQ , etc. , a D V or representing the velocity at A ,

KINEMATICS .

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 0 , lines OP , OQ , etc. , a D V or representing the velocity at A ,

KINEMATICS .

Page 10

... 00 , etc. , will be equal ( to V ) , and therefore POS is a circle whose b B centre

is O. The direction of acceleration at A is parallel to S the tangent at P , that is , is

perpendicular to OP , i.e. to Aa , 0 and is therefore that of the

... 00 , etc. , will be equal ( to V ) , and therefore POS is a circle whose b B centre

is O. The direction of acceleration at A is parallel to S the tangent at P , that is , is

perpendicular to OP , i.e. to Aa , 0 and is therefore that of the

**radius**AC . Now P ... Page 11

When a point moves uniformly in a circle of

acceleration is directed towards the centre , and V2 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 V2 has the constant value See $

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

Page 12

When the acceleration is directed to a fixed point , the path is in a plane passing

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

are proportional to the times employed . This includes the case of a satellite or ...

When the acceleration is directed to a fixed point , the path is in a plane passing

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

**radius**- vectorare proportional to the times employed . This includes the case of a satellite or ...

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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 evidently 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 perpendicular plane portion position potential practical pressure principle problem produce projection proportional quantity radius reference relative remain remarkable respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity weight whole wire