History of the inductive sciences, from the earliest to the present timeWhewell, William
History
History of the inductive sciences, from the earliest to the present time
Whewell, William
Science -- History
It may be observed that the _Idea_ which is here introduced, is that
of visual _rays_, or lines along which vision is produced and light
carried. This idea once clearly apprehended, it was not difficult to
show that these lines are straight lines, both in the case of light
and of sight. In the beginning of Euclid's "Treatise on Optics," some
of the arguments are mentioned by which this was established. We are
told in the Proem, "In explaining what concerns the sight, he adduced
certain arguments from which he inferred that all light is carried in
straight lines. The greatest proof of this is shadows, and the bright
spots which are produced by light coming through windows and cracks,
and which could not be, except the rays of the sun were carried in
straight lines. So in fires, the shadows are greater than the bodies
if the fire be small, but less than the bodies if the fire be
greater." A clear comprehension of the principle would lead to the
perception of innumerable proofs of its truth on every side.
The Law of Equality of Angles of Incidence and Reflection was not
quite so easy to verify; but the exact resemblance of the object and
its image in a plane mirror, (as the surface of still water, for
instance), which is a consequence of this law, would afford
convincing evidence of its truth in that case, and would be
confirmed by the examination of other cases. {101}
With these true principles was mixed much error and indistinctness,
even in the best writers. Euclid, and the Platonists, maintained
that vision is exercised by rays proceeding _from_ the eye, not _to_
it; so that when we see objects, we learn their form as a blind man
would do, by feeling it out with his staff. This mistake, however,
though Montucla speaks severely of it, was neither very
discreditable nor very injurious; for the mathematical conclusions
on each supposition are necessarily the same. Another curious and
false assumption is, that those visual rays are not close together,
but separated by intervals, like the fingers when the hand is
spread. The motive for this invention was the wish to account for
the fact, that in looking for a small object, as a needle, we often
cannot see it when it is under our nose; which it was conceived
would be impossible if the visual rays reached to all points of the
surface before us.
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