## Elements of Natural Philosophy |

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Page 7

... any direction may be resolved in , ana perpendicular to , any other direction .

The first

between the two directions ; the second by using as factor the sine KINEMATICS .

... any direction may be resolved in , ana perpendicular to , any other direction .

The first

**component**is found by multiplying the velocity by the cosine of the anglebetween the two directions ; the second by using as factor the sine KINEMATICS .

Page 8

... horizontal velocity V cosas Or it may be resolved into

rectangular directions , each

velocity by the cosine of the angle between its direction and that of the

... horizontal velocity V cosas Or it may be resolved into

**components**in any threerectangular directions , each

**component**being found by multiplying the wholevelocity by the cosine of the angle between its direction and that of the

**component**. Page 9

Since acceleration is merely a change of the

direction , it is evident that the laws of composition and resolution of accelerations

are the same as those of velocities . We therefore expand the definition just given

...

Since acceleration is merely a change of the

**component**velocity in a stateddirection , it is evident that the laws of composition and resolution of accelerations

are the same as those of velocities . We therefore expand the definition just given

...

Page 10

The whole acceleration in any direction is the sum of the

direction ) of the accelerations parallel to ... each

found by the same rule as

the ...

The whole acceleration in any direction is the sum of the

**components**in thatdirection ) of the accelerations parallel to ... each

**component**acceleration beingfound by the same rule as

**component**velocities ( 8 34 ) , that is , by multiplying bythe ...

Page 11

If for any case of motion of a point we have given the whole velocity and its

direction , or simply the

and its

proportional to its ...

If for any case of motion of a point we have given the whole velocity and its

direction , or simply the

**components**of the ... 7 ( 6 ) If a point moves in a plane ,and its

**component**velocity parallel to each of two rectangular axes isproportional to its ...

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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