The two horizontal lines are equal in measurement; they are unequal to
the eye. Why? One suggestion is that _the eye moves freely along the
one, and hesitatingly and obstructedly along the other_; the obliques
tempt out, in the one case, and hem in, in the other. The suggestion
can be tested; for movements of the eyes can be recorded; and it turns
out to be correct. The eyes, in passing over a line, like the lines of
the figure or of a printed page, move by sweeps or jerks; they go so
far, halt, and start again. Experiment shows that movements along the
lower horizontal take a longer sweep, and oftentimes come to a halt
only when they have shot beyond the end-points of the line; whereas
movements along the upper horizontal are themselves shorter, and
frequently come to a halt before the extremities of the line have been
reached. Here, then, is a kinæsthetic context to carry the meanings
‘longer’ and ‘shorter.’ Is the analysis adequate? Not for every case;
the illusion is found to vary with _our general attitude toward the
figures_. If we take them as wholes, the large open area below and the
closed diamond-shaped area above strike the attention; we say, from
total impression, that the lower horizontal is the longer. If, however,
we take the figures critically, part by part, limiting our attention
to the horizontals and disregarding the obliques, then the illusion
is greatly reduced and may, with practice, disappear. Here, then, is
a second context, which involves a brain-habit. Another suggestion is
that _linear perspective_ may be at work; the larger figure is a book
opening toward you, the smaller is a book opened away from you; the
lower horizontal is therefore further off, and should (if the two books
were of the same size) be smaller than the upper; since it is not,
the lower book is seen as the larger. There are, without doubt, many
figures in which perspective influences the perception; but there seems
to be no reason to invoke it here. A fourth suggestion is that we read
into the figures _ideas of our own muscular state_; the lower figure
has room to expand, it is stretching and yawning; the upper is cramped
and huddled; and so the illusion of length is produced. There is no
doubt, again, that this putting of oneself in place of the lines plays
a part in certain perceptions; but its influence here is negatived by
the swallow figure; the birds flying toward each other are further
apart than those flying from each other. On the whole, we may be
satisfied with the two contexts first mentioned; the discussion shows,
however, how many and how various motives may enter in to determine an
illusory perception.
[Illustration]
Public-domain text, read in full here on John Shaqi.
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