## Elements of Natural Philosophy, Part 1 |

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Results 1-5 of 71

Page 4

... which are in general extremely

easy , geometrical problems occur in ... as being excessively difficult in their

general development , and too

explanation .

... which are in general extremely

**simple**; although curious , and not always veryeasy , geometrical problems occur in ... as being excessively difficult in their

general development , and too

**simple**in the ordinary cases to requireexplanation .

Page 7

... A hundred hundredth and so on , give nearer and nearer approximations to the

velocity at the beginning of the first second . The whole foundation of Newton's

differential calculus is , in fact , contained in the

...

... A hundred hundredth and so on , give nearer and nearer approximations to the

velocity at 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...

Page 16

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 arrangements . 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 arrangements . 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 evidently experience 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 perpendicular plane portion position potential practical pressure principle problem produce projection proportional quantity radius reference relative remain respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity weight whole wire