Elements of Natural Philosophy, Part 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 5
By a ruler moveable about one focus , and a string attached to a point in the ruler
and to the other focus , and kept tight by a pencil sliding along the edge of the
ruler , the hyperbola may be described by the help of its analogous focal property
...
By a ruler moveable about one focus , and a string attached to a point in the ruler
and to the other focus , and kept tight by a pencil sliding along the edge of the
ruler , the hyperbola may be described by the help of its analogous focal property
...
Page 6
Thus we get the same result whether we derive from the space described in a
million seconds , or from that described in a millionth of a second . This idea is
very useful , as it makes our results intelligible when a variable velocity has to be
...
Thus we get the same result whether we derive from the space described in a
million seconds , or from that described in a millionth of a second . This idea is
very useful , as it makes our results intelligible when a variable velocity has to be
...
Page 7
In fact , if v be the velocity at either beginning or end , or at any instant , of an
interval t , and s the space actually described in that interval ; the equation v = (
which expresses the definition of the average velocity , § 26 ) is more and more
nearly ...
In fact , if v be the velocity at either beginning or end , or at any instant , of an
interval t , and s the space actually described in that interval ; the equation v = (
which expresses the definition of the average velocity , § 26 ) is more and more
nearly ...
Page 8
... for instance , represents in magniB tude and direction the space which would
be described in one second by a point moving with the first of the given velocities
— and similarly OB for the second ; from A draw AC parallel and equal to OB .
... for instance , represents in magniB tude and direction the space which would
be described in one second by a point moving with the first of the given velocities
— and similarly OB for the second ; from A draw AC parallel and equal to OB .
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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