Elements of Natural Philosophy, Volume 1 |
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Page 2
When a point moves from one position to another it must evidently describe a
continuous line , which may be curved or straight , or even made up of portions of
curved and straight lines meeting each other at any angles . If the motion be that
of ...
When a point moves from one position to another it must evidently describe a
continuous line , which may be curved or straight , or even made up of portions of
curved and straight lines meeting each other at any angles . If the motion be that
of ...
Page 3
The definition in last section may evidently be extended to a plane polygon , and
the integral change of direction , or the angle between the first and last sides , is
then the sum of its exterior angles , all the sides being produced each in the ...
The definition in last section may evidently be extended to a plane polygon , and
the integral change of direction , or the angle between the first and last sides , is
then the sum of its exterior angles , all the sides being produced each in the ...
Page 7
8 driving - power to be made , we can evidently obtain an approximation to the
velocity at a particular instant , by considering ( § 25 ) the motion for so short a
time , that during that time the actual variation of speed may be small enough to
be ...
8 driving - power to be made , we can evidently obtain an approximation to the
velocity at a particular instant , by considering ( § 25 ) the motion for so short a
time , that during that time the actual variation of speed may be small enough to
be ...
Page 8
... given velocities — and similarly OB for the second ; from A draw AC parallel
and equal to OB . Join OC : then OC A is the resultant velocity in magnitude and
direction . OC is evidently the diagonal of the parallelogram two of whose sides
are ...
... given velocities — and similarly OB for the second ; from A draw AC parallel
and equal to OB . Join OC : then OC A is the resultant velocity in magnitude and
direction . OC is evidently the diagonal of the parallelogram two of whose sides
are ...
Page 12
Evidently there is no acceleration perpendicular to the plane containing the fixed
point and the line of motion of the moving point at any instant ; and there being no
velocity perpendicular to this plane at starting , there is therefore none ...
Evidently there is no acceleration perpendicular to the plane containing the fixed
point and the line of motion of the moving point at any instant ; and there being no
velocity perpendicular to this plane at starting , there is therefore none ...
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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