Elements of Natural Philosophy, Volume 1 |
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Page 2
It is useful to consider at the outset various theorems connected with the
geometrical notion of the path described by a moving point ; and these we shall
now take up , deferring the consideration of Velocity to a future section , as being
more ...
It is useful to consider at the outset various theorems connected with the
geometrical notion of the path described by a moving point ; and these we shall
now take up , deferring the consideration of Velocity to a future section , as being
more ...
Page 9
Hence , just as the direction of motion of a point is the tangent to its path , so the
direction of acceleration of a moving point is to be found by the following
construction :From any point o draw lines OP , OQ , etc. , representing in
magnitude and ...
Hence , just as the direction of motion of a point is the tangent to its path , so the
direction of acceleration of a moving point is to be found by the following
construction :From any point o draw lines OP , OQ , etc. , representing in
magnitude and ...
Page 10
The former of these changes the velocity , the other affects only the form of the
path , or the direction of motion . Hence if a moving point be subject to an
acceleration , constant or not , whose direction is continually perpendicular to the
direction ...
The former of these changes the velocity , the other affects only the form of the
path , or the direction of motion . Hence if a moving point be subject to an
acceleration , constant or not , whose direction is continually perpendicular to the
direction ...
Page 11
the case , for any position ; the determination of the form of the path described ,
and of other circumstances of the motion , is a question of pure mathematics , and
in all cases is capable ( if not of an exact solution , at all events ) of a solution to ...
the case , for any position ; the determination of the form of the path described ,
and of other circumstances of the motion , is a question of pure mathematics , and
in all cases is capable ( if not of an exact solution , at all events ) of a solution to ...
Page 12
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 . For the velocity ( V ) in the original direction of motion ...
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 . For the velocity ( V ) in the original direction of motion ...
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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 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