## Elements of Natural Philosophy |

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Page 2

The direction of motion of a moving point is at each instant the tangent drawn to

its

from the definition of the tangent to a curve : 9 . If the

The direction of motion of a moving point is at each instant the tangent drawn to

its

**path**, if the**path**be a curve ; or the**path**itself if a straight line . This is evidentfrom the definition of the tangent to a curve : 9 . If the

**path**be not straight the ... Page 9

Hence , just as the direction of motion of a point is the tangent to its

direction of acceleration of a moving point is to be found by the following

construction :From any point 0 , draw lines OP , OQ , etc . , repre senting in

magnitude ...

Hence , just as the direction of motion of a point is the tangent to its

**path**, so thedirection of acceleration of a moving point is to be found by the following

construction :From any point 0 , draw lines OP , OQ , etc . , repre senting in

magnitude ...

Page 10

Hence the velocity of P is to that of A as OP to CA , i . e . as V to R ; and is

therefore equal to and this ( $ 35 ) is the amount of the acceleration in the circulat

components ...

Hence the velocity of P is to that of A as OP to CA , i . e . as V to R ; and is

therefore equal to and this ( $ 35 ) is the amount of the acceleration in the circulat

**path**ABD . 37 . The whole acceleration in any direction is the sum of thecomponents ...

Page 11

( 6 ) If a point moves in a plane , and its component velocity parallel to each of

two rectangular axes ' is proportional to its disa tance from that axis , the

an ellipse or hyperbola whose principal diameters coincide with those axes ; and

the ...

( 6 ) If a point moves in a plane , and its component velocity parallel to each of

two rectangular axes ' is proportional to its disa tance from that axis , the

**path**isan ellipse or hyperbola whose principal diameters coincide with those axes ; and

the ...

Page 12

Of course the preceding formulae apply to a constant retardation , as in the case

of a projectile moving vertically upwards , by simply giving ů a negative sign . 44 .

When there is uniform acceleration in a constant direction , the

Of course the preceding formulae apply to a constant retardation , as in the case

of a projectile moving vertically upwards , by simply giving ů a negative sign . 44 .

When there is uniform acceleration in a constant direction , the

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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