Many other familiar instances could be given to show the true law of
perspective; which is, that parallel lines appear in the distance
to converge to one and the same datum line, but to reach it at
different distances if themselves dissimilarly distant. This law being
remembered, it is easy to understand how the hull of an outward-bound
ship, although sailing upon a plane surface disappears before the
mast-head. In Figure 16, let A B represent the surface of the water;
C H the line of sight; and E D the altitude of the mast-head. Then,
as A B and C H are nearer to each other than A B and E D, they will
converge and appear to meet at the point H, which is the practical,
or, as it would be better to call it, the _optical_ horizon. The hull
of the vessel being contained within the lines A B and C H, must
gradually diminish as these converge, until at H, or the horizon,
it enters the vanishing point and disappears; but the mast-head
represented by the line E D is still _above_ the horizon at H, and will
require to sail more or less, according to its altitude, beyond the
point H before it sinks to the line C H, or, in other words, before the
lines A B and E D form the same angle as A B and C H.
It will be evident also that should the elevation of the observer be
greater than at C, the horizon or vanishing point would not be formed
at H, but at a greater distance; and therefore the hull of the vessel
would be longer visible. Or, if, when the hull has disappeared at H,
the observer ascends from the elevation at C to a higher position
nearer to E, it will again be seen. Thus all these phenomena which have
so long been considered as proofs of the Earth’s rotundity are really
optical sequences of the contrary doctrine. To argue that because the
lower part of an outward-bound ship disappears before the highest the
water must be round, is to _assume_ that a _round_ surface _only_
can produce this effect! But it is now shown that a _plane_ surface
_necessarily_ produces this effect; and therefore the assumption is
not required, and the argument involved is fallacious!
It may here be observed that no help can be given to this doctrine of
rotundity by quoting the prevailing theory of perspective. The law
represented in the foregoing diagrams is the “law of nature.” It may
be seen in every layer of a long wall, in every hedge and bank of the
roadside, and indeed in every direction where lines and objects run
parallel to each other; but no illustration of the contrary perspective
is ever to be seen! except in the distorted pictures, otherwise
cleverly and beautifully drawn as they are, which abound in our public
and private collections.
Public-domain text, read in full here on John Shaqi.
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