## Elements of Natural Philosophy |

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Page 8

Thus a point moving with velocity V up an Inclined Plane , making an angle a with

the horizon , has a

may be resolved into components in any three rectangular directions , each ...

Thus a point moving with velocity V up an Inclined Plane , making an angle a with

the horizon , has a

**vertical**velocity V sin a and i horizontal velocity V cosas Or itmay be resolved into components in any three rectangular directions , each ...

Page 11

With uniform acceleration in the direction of motion , a point describes spaces

proportional to the squares of the times elapsed since the commencement of the

motion . This is the case of a body falling

With uniform acceleration in the direction of motion , a point describes spaces

proportional to the squares of the times elapsed since the commencement of the

motion . This is the case of a body falling

**vertically**in vacuo under the action of ... Page 12

at , * = fat ' , 17 * = ax .; V2 = 2aX Of course the preceding formulae apply to a

constant retardation , as in the case of a projectile moving

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

at , * = fat ' , 17 * = ax .; V2 = 2aX Of course the preceding formulae apply to a

constant retardation , as in the case of a projectile moving

**vertically**upwards , bysimply giving a a negative sign . 44. When there is uniform acceleration in a ...

Page 15

In the case of a projectile ( $ 44 ) , the horizontal component of the velocity is

unchanged , and the

hodograph is a

horizontal velocity ...

In the case of a projectile ( $ 44 ) , the horizontal component of the velocity is

unchanged , and the

**vertical**component increases uniformly . Hence thehodograph is a

**vertical**straight line , whose distance from the origin is thehorizontal velocity ...

Page 25

The horizontal line is the axis of abscissae of the curves ; the

left of each being the axis of ordinates . In the first case the slower motion goes

through I : 2 2 : 3 ( Octave ) ( Fifth ) mm " See British Association Tidal

Committee's ...

The horizontal line is the axis of abscissae of the curves ; the

**vertical**line to theleft of each being the axis of ordinates . In the first case the slower motion goes

through I : 2 2 : 3 ( Octave ) ( Fifth ) mm " See British Association Tidal

Committee's ...

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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