## Elements of Natural Philosophy |

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Page 11

7 ( 6 ) If a point moves in a plane , and its component velocity parallel to each of

two rectangular

ellipse or hyperbola whose principal diameters coincide with those

...

7 ( 6 ) If a point moves in a plane , and its component velocity parallel to each of

two rectangular

**axes**is proportional to its distance from that**axis**, the path is anellipse or hyperbola whose principal diameters coincide with those

**axes**; and the...

Page 12

... vertically upwards , by simply giving a a negative sign . 44. When there is

uniform acceleration in a constant direction , the path described is a parabola ,

whose

vacuo .

... vertically upwards , by simply giving a a negative sign . 44. When there is

uniform acceleration in a constant direction , the path described is a parabola ,

whose

**axis**is parallel to that direction . This is the case of a projectile moving invacuo .

Page 25

The horizontal line is the

left of each being the

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

Committee's ...

Page 27

... angles to one another in direction , provided only they differ by a quarter period

in phase , produce elliptic motion , having their ranges for conjugate

describing , by the radius - vector from the centre , equal areas in equal times .

... angles to one another in direction , provided only they differ by a quarter period

in phase , produce elliptic motion , having their ranges for conjugate

**axes**, anddescribing , by the radius - vector from the centre , equal areas in equal times .

Page 32

Thus we see that if a body revolve in succes . A B sion through equal angles , but

in opposite directions , . about two parallel

which it could have been brought by a simple translation pero pendicular to the

lines ...

Thus we see that if a body revolve in succes . A B sion through equal angles , but

in opposite directions , . about two parallel

**axes**, it finally takes a position towhich it could have been brought by a simple translation pero pendicular to the

lines ...

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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