Elements of Natural Philosophy, Part 1 |
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Page 10
The whole acceleration in any direction is the sum of the components in that
direction ) of the accelerations parallel to any three rectangular axes- each
component acceleration being found by the same rule as component velocities ,
that is , by ...
The whole acceleration in any direction is the sum of the components in that
direction ) of the accelerations parallel to any three rectangular axes- each
component acceleration being found by the same rule as component velocities ,
that is , by ...
Page 11
( 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 ...
( 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 ...
Page 25
... produce elliptic motion , having their ranges for conjugate axes , and
describing , by the radius - vector from the centre , equal areas in equal times . 83
. Returning to the composition of any number of equal simple harmonic motions
in lines in ...
... produce elliptic motion , having their ranges for conjugate axes , and
describing , by the radius - vector from the centre , equal areas in equal times . 83
. Returning to the composition of any number of equal simple harmonic motions
in lines in ...
Page 26
proved ( § 82 ) to be motion in an ellipse of which the ranges of the component
motions are conjugate axes , and in which equal areas are described by the
radius - vector from the centre in equal times . Hence the proposition of 8o . 84.
proved ( § 82 ) to be motion in an ellipse of which the ranges of the component
motions are conjugate axes , and in which equal areas are described by the
radius - vector from the centre in equal times . Hence the proposition of 8o . 84.
Page 31
Th is , a body revolve in succession through equal angles , but in opposite
directions , about two A B parallel axes , it finally takes a position to which it could
have been brought by a simple translation perpendicular to the lines of the body
in its ...
Th is , a body revolve in succession through equal angles , but in opposite
directions , about two A B parallel axes , it finally takes a position to which it could
have been brought by a simple translation perpendicular to the lines of the body
in its ...
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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