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 axes is proportional to its distance from that axis , the path is an
ellipse or hyperbola whose principal diameters coincide with those axes ; and the
...
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 an
ellipse 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 axis is parallel to that direction . This is the case of a projectile moving in
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 in
vacuo .
Page 25
The horizontal line is the axis of abscissae of the curves ; the vertical line to the
left of each being the axis of ordinates . In the first case the slower motion goes
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 the
left of each being the axis of ordinates . In the first case the slower motion goes
through 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 axes , and
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 , and
describing , 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 axes , it finally takes a position to
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 to
which it could have been brought by a simple translation pero pendicular to the
lines ...
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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 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 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