On sweeping round a curve on a rapidly moving railway train, where a
wide prospect is suddenly opened up, the men upon distant hills appear
like dolls.[17] You have at the moment, here, no known references for
the measurement of distances. The stones at the entrance of a tunnel
grow visibly larger as we ride towards it; they shrink visibly in size
as we ride from it.
Usually both eyes work together. As certain views are frequently
repeated, and lead always to substantially the same judgments of
distances, the eyes in time must acquire a special skill in geometrical
constructions. In the end, undoubtedly, this skill is so increased that
a single eye alone is often tempted to exercise that office.
Permit me to elucidate this point by an example. Is any sight more
familiar to you than that of a vista down a long street? Who has not
looked with hopeful eyes time and again into a street and measured its
depth. I will take you now into an art-gallery where I will suppose you
to see a picture representing a vista into a street. The artist has not
spared his rulers to get his perspective perfect. The geometrician in
your left eye thinks, "Ah ha! I have computed that case a hundred times
or more. I know it by heart. It is a vista into a street," he continues;
"where the houses are lower is the remote end." The geometrician in the
right eye, too much at his ease to question his possibly peevish comrade
in the matter, answers the same. But the sense of duty of these punctual
little fellows is at once rearoused. They set to work at their
calculations and immediately find that all the points of the picture are
equally distant from them, that is, lie all upon a plane surface.
What opinion will you now accept, the first or the second? If you accept
the first you will see distinctly the vista. If you accept the second
you will see nothing but a painted sheet of distorted images.
It seems to you a trifling matter to look at a picture and understand
its perspective. Yet centuries elapsed before humanity came fully to
appreciate this trifle, and even the majority of you first learned it
from education.
I can remember very distinctly that at three years of age all
perspective drawings appeared to me as gross caricatures of objects. I
could not understand why artists made tables so broad at one end and so
narrow at the other. Real tables seemed to me just as broad at one end
as at the other, because my eye made and interpreted its calculations
without my intervention. But that the picture of the table on the plane
surface was not to be conceived as a plane painted surface but stood for
a table and so was to be imaged with all the attributes of extension was
a joke that I did not understand. But I have the consolation that whole
nations have not understood it.
Public-domain text, read in full here on John Shaqi.
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