## Elements of Natural Philosophy |

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Page 4

The use of a cord in mechanism presents us with many practical applications of

this theory , which are in general extremely

always very easy , geometrical problems occur in connexion with it . We shall say

...

The use of a cord in mechanism presents us with many practical applications of

this theory , which are in general extremely

**simple**; although curious , and notalways very easy , geometrical problems occur in connexion with it . We shall say

...

Page 7

... and nearer approximations to the velocity an the beginning of the first second .

The whole foundation of Newton's differential calculus is , in fact , contained in

the

...

... and nearer approximations to the velocity an the beginning of the first second .

The whole foundation of Newton's differential calculus is , in fact , contained in

the

**simple**question , " What is the rate at which the space described by a moving...

Page 17

Hence the rate at which a planet receives heat and light from the sun varies in

heat and light received by the planet in any time is proportional to the whole

angle ...

Hence the rate at which a planet receives heat and light from the sun varies in

**simple**. proportion to the angular.velocity of the radius - vector . Hence the wholeheat and light received by the planet in any time is proportional to the whole

angle ...

Page 18

Thus , to take a very

directions , say north and south , one with a velocity of fifty , the other of thirty ,

miles an hour . The relative velocity of the second with regard to the first is to be

found by ...

Thus , to take a very

**simple**example , two trains are running in oppositedirections , say north and south , one with a velocity of fifty , the other of thirty ,

miles an hour . The relative velocity of the second with regard to the first is to be

found by ...

Page 19

The following practical methods of effecting such a combination in the

case of the movements of two points are useful in scientific illustrations and in

certain mechanical arrange . ments . Let two moving points be joined by a

uniform ...

The following practical methods of effecting such a combination in the

**simple**case of the movements of two points are useful in scientific illustrations and in

certain mechanical arrange . ments . Let two moving points be joined by a

uniform ...

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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 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