It is to be remarked that also solid fluid-figures can be constructed
in the open air, if their weight be light enough, or the wire nets of
very small dimensions. If we make, for example, of very fine wire a
cubical net whose sides measure about one-eighth of an inch in length,
we need simply to dip this net in water to obtain a small solid cube of
water. With a piece of blotting paper the superfluous water may be
easily removed and the sides of the cube made smooth.
Yet another simple method may be devised for observing these figures. A
drop of water on a greased glass plate will not run if it is small
enough, but will be flattened by its weight, which presses it against
its support. The smaller the drop the less the flattening. The smaller
the drop the nearer it approaches the form of a sphere. On the other
hand, a drop suspended from a stick is elongated by its weight. The
undermost parts of a drop of water on a support are pressed against the
support, and the upper parts are pressed against the lower parts because
the latter cannot yield. But when a drop falls freely downward all its
parts move equally fast; no part is impeded by another; no part presses
against another. A freely falling drop, accordingly, is not affected by
its weight; it acts as if it were weightless; it assumes a spherical
form.
A moment's glance at the soap-film figures produced by our various wire
models, reveals to us a great multiplicity of form. But great as this
multiplicity is, the common features of the figures also are easily
discernible.
"All forms of Nature are allied, though none is the same as the other;
Thus, their common chorus points to a hidden law."
This hidden law Plateau discovered. It may be expressed, somewhat
prosily, as follows:
1) If several plane liquid films meet in a figure they are always three
in number, and, taken in pairs, form, each with another, nearly equal
angles.
2) If several liquid edges meet in a figure they are always four in
number, and, taken in pairs, form, each with another, nearly equal
angles.
This is a strange law, and its reason is not evident. But we might apply
this criticism to almost all laws. It is not always that the motives of
a law-maker are discernible in the form of the law he constructs. But
our law admits of analysis into very simple elements or reasons. If we
closely examine the paragraphs which state it, we shall find that their
meaning is simply this, that the surface of the liquid assumes the shape
of smallest area that is possible under the circumstances.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account