## Elements of Natural Philosophy |

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Page 4

The mathematical condition to be expressed in any case of it is simply that the

distance measured along the line from any one point to any other , remains

presents us ...

The mathematical condition to be expressed in any case of it is simply that the

distance measured along the line from any one point to any other , remains

**constant**, however the line be bent . 17. The use of a cord in mechanismpresents us ...

Page 10

Since the velocity in ABD is

to V ) , and there fore POS is a circle whose 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 AQ ...

Since the velocity in ABD is

**constant**, all the lines OP , OC , etc. , will be equal (to V ) , and there fore POS is a circle whose 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 AQ ...

Page 11

When a point moves uniformly in a circle of radius R , with velocity V , the whole

acceleration is directed towards the centre , and has the

. 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 whole

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 ...

Page 12

... V2 = 2aX Of course the preceding formulae apply to a

in the case of a projectile moving vertically upwards , by simply giving a a

negative sign . 44. When there is uniform acceleration in a

path ...

... V2 = 2aX Of course the preceding formulae apply to a

**constant**retardation , asin the case of a projectile moving vertically upwards , by simply giving a a

negative sign . 44. When there is uniform acceleration in a

**constant**direction , thepath ...

Page 14

For the product of this perpendicular and the velocity at any instant gives double

the area described in one second about the ' fixed point , which has just been

shown to be a

are ...

For the product of this perpendicular and the velocity at any instant gives double

the area described in one second about the ' fixed point , which has just been

shown to be a

**constant**quantity . As the kinematical propositions with which weare ...

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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