If a spectroscope slit was interposed between the eye and the lens, and
its width suitably adjusted, only a single row of filaments was observed,
the appearances with the slit in horizontal, vertical, and intermediate
positions being as represented in Fig. 24, A, B, C. As before, it was
found possible by gradually retiring from the lamp to bring the number of
images up to about twenty-five, but attentive examination showed that
most of these really consisted of clusters, each composed of perhaps
fifteen or twenty confused images of the filament. A stronger lens still
further separated the constituents of the clusters, exhibiting a total
number of indistinctly seen images which was estimated to amount to nearly
five hundred. Assuming the diameter of the pupil of the eye to be
one-fifth of an inch, these observations seem to indicate as a cause of
the phenomenon some fairly regular anatomical structure, situated in or
near the crystalline lens and composed of elements measuring about 1/2000
inch in length or breadth. Whether the structure which gives rise to these
multiple images is to be found in the fibres of the crystalline lens
itself, or in the membranes which cover it, is a question upon which I
will not venture an opinion.
[Illustration: _Fig. 24C.--Images with oblique Slit._]
It is indeed wonderful that an organ affected by peculiarities of which
those that have been referred to are merely specimens, should give such
well-defined pictures as it does when accommodated for the objects looked
at.
CHAPTER IV.
SOME OPTICAL ILLUSIONS.
Optical illusions generally result from the mind's faulty interpretation
of phenomena presented to it through the medium of the visual organs. They
are of many different kinds, but a large class, which at first sight may
seem to have little or nothing in common, arise, I believe, from a single
cause, namely, the inability of the mind to form and adhere to a definite
scale or standard of measurement.
In specifying quantities and qualities by physical methods, the standards
of reference that we employ are invariable. We may, for example, measure
a length by reference to a rule, an interval of time by a clock, a mass or
weight by comparison with standardised lumps of metal, and in all such
cases--provided that our instruments are good ones and skilfully used--we
have every confidence in the constancy and uniformity of our results.
But two lengths, which when tested with the same foot rule are found to be
exactly equal, are not necessarily equal in the estimate formed of them by
the mind. Look, for instance, at the two lines in Fig. 25. According to
the foot rule each of them is just one inch in length, but the mind
unhesitatingly pronounces the upright one to be considerably longer than
the other; the standard which it applies is not, like a physical one,
identical in the two cases. Many other examples might be cited
illustrative of the general uncertainty of mental estimates.
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