## Elements of Natural Philosophy, Volume 1 |

### From inside the book

Results 1-5 of 79

Page 2

The curvature at any point is the reciprocal of the radius of this circle for a small

arc on each side of the point . 11. If all the points of the curve lie in one

called a

The curvature at any point is the reciprocal of the radius of this circle for a small

arc on each side of the point . 11. If all the points of the curve lie in one

**plane**, it iscalled a

**plane**curve , and if it be made up of portions 2 PRELIMINARY . Page 3

curve , and if it be made up of portions of straight or curved lines it is called a

called a curve of double curvature , in the other a gauche polygon . The term '

curve of ...

curve , and if it be made up of portions of straight or curved lines it is called a

**plane**polygon . If the line do not lie in one**plane**, we have in one case what iscalled a curve of double curvature , in the other a gauche polygon . The term '

curve of ...

Page 8

Thus a point moving with velocity V up an Inclined

the horizon , has a vertical velocity V sin a and a horizontal velocity Vcosa . Or it

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 withthe horizon , has a vertical velocity V sin a and a horizontal velocity Vcosa . Or it

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

Page 11

( a ) If the velocity of a moving point be uniform , and if its direction revolve

uniformly in a

proportional to ...

( a ) If the velocity of a moving point be uniform , and if its direction revolve

uniformly in a

**plane**, the path described is a circle . ( 6 ) If a point moves in a**plane**, and its component velocity parallel to each of two rectangular axes isproportional to ...

Page 12

When the acceleration is directed to a fixed point , the path is in a

through that point ; and in this

are proportional to the times employed . This includes the case of a satellite or ...

When the acceleration is directed to a fixed point , the path is in a

**plane**passingthrough that point ; and in this

**plane**the areas traced out by the radius - vectorare proportional to the times employed . This includes the case of a satellite or ...

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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 evidently 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 remarkable 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