Carriages similarly receding will seem to lose that portion of the
rim of the wheels which touches the Earth; the axles will seem to get
lower; and at the distance of a few miles, the body will appear to
drag along in contact with the ground. This is very remarkable in the
case of a railway carriage when moving away upon a straight and level
portion of line several miles in length. These instances, which are
but a few of what might be quoted, will be sufficient to prove, beyond
the power of doubt or the necessity for controversy, that upon a plane
or horizontal surface, the _lowest part_ of bodies receding from a
given point of observation will disappear _before the higher_. This is
precisely what is observed in the case of a ship at sea, when outward
bound--the _lowest_ part--the hull, disappearing before the higher
parts--the sails and mast head. Abstractedly, when the lowest part of
a receding object thus disappears by entering the “vanishing point,”
it could be seen again to any and every extent by a telescope, if the
power were sufficient to magnify at the distance observed. This is to
a great extent practicable upon smooth horizontal surfaces, as upon
frozen lakes or canals; and upon long straight lines of railway. But
the power of restoring such objects is greatly modified and diminished
where the surface is undulating or otherwise moveable, as in large and
level meadows, and pasture lands generally; in the vast prairies and
grassy plains of America; and especially so upon the ocean, where the
surface is always more or less in an undulating condition. In Holland
and other level countries, persons have been seen in winter, skating
upon the ice, at distances varying from ten to twenty miles. On some
of the straight and “level” lines of railway which cross the prairies
of America, the trains have been observed for more than twenty miles;
but upon the sea the conditions are altered, and the hull of a receding
vessel can only be seen for a few miles, and this will depend very
greatly--the altitude of the observer being the same, upon the state of
the water. When the surface is calm, the hull may be seen much farther
than when it is rough and stormy; but under ordinary circumstances,
when to the naked eye the hull has just become invisible, or is
doubtfully visible, it may be seen again distinctly by the aid of a
powerful telescope. Although abstractedly or mathematically there
should be no limit to this power of restoring by a telescope a lost
object upon a smooth horizontal surface, upon the sea this limit is
soon observed; the water being variable in its degree of agitation, the
limit of sight over its surface is equally variable, as shown by the
following experiments:--In May, 1864, on several occasions when the
water was unusually calm, from the landing stairs of the Victoria pier
at Portsmouth, and from an elevation of 2 ft. 8 in. above the water,
the greater part of the hull of the Nab Light-ship was, through a good
Public-domain text, read in full here on John Shaqi.
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