On the Connexion of the Physical SciencesSomerville, Mary
Science
On the Connexion of the Physical Sciences
Somerville, Mary
Physical sciences; Science
A stone plunged into a pool of still water occasions a series of waves
to advance along the surface, though the water itself is not carried
forward, but only rises into heights and sinks into hollows, each
portion of the surface being elevated and depressed in its turn. Another
stone of the same size, thrown into the water near the first, will
occasion a similar set of undulations. Then, if an equal and similar
wave from each stone arrive at the same spot at the same time, so that
the elevation of the one exactly coincides with the elevation of the
other, their united effect will produce a wave twice the size of either.
But, if one wave precede the other by exactly half an undulation, the
elevation of the one will coincide with the hollow of the other, and the
hollow of the one with the elevation of the other; and the waves will so
entirely obliterate one another, that the surface of the water will
remain smooth and level. Hence, if the length of each wave be
represented by 1, they will destroy one another at intervals of 1/2,
3/2, 5/2, &c., and will combine their effects at the intervals 1, 2, 3,
&c. It will be found according to this principle, when still water is
disturbed by the fall of two equal stones, that there are certain lines
on its surface of a hyperbolic form, where the water is smooth in
consequence of the waves obliterating each other, and that the elevation
of the water in the adjacent parts corresponds to both the waves united
(N. 160). Now, in the spring and neap tides arising from the combination
of the simple solilunar waves, the spring tide is the joint result of
the combination when they coincide in time and place; and the neap tide
happens when they succeed each other by half an interval, so as to leave
only the effect of their difference sensible. It is, therefore, evident
that, if the solar and lunar tides were of the same height, there would
be no difference, consequently no neap tides, and the spring tides would
be twice as high as either separately. In the port of Batsha, in
Tonquin, where the tides arrive by two channels of lengths corresponding
to half an interval, there is neither high nor low water on account of
the interference of the waves.
Public-domain text, read in full here on John Shaqi.
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