It thus appears that an isolated observation may give a result very
different from the true direction. Indeed, if we may judge from
Professor Omori's measurements in 1894, the chance that a single
direction may be within five degrees of the mean direction is about 1
in 9. But, on the other hand, it is equally clear from these and other
observations that the mean of a large number of measurements will give
a result that agrees very closely with the true direction.
One other point may be alluded to before leaving Professor Omori's
interesting observations. It would seem, from the list that he gives,
that he exercised no selection in his measurements, but continued
measuring the direction of every fallen lamp indifferently until he
had obtained sufficient records for his purpose. Now, if the number of
fallen lamps at his disposal had been small, say 12 instead of 144,
the mean observed direction would probably have differed from the
direction given from the seismograph.[13] But, on the other hand, a
preliminary survey without any actual measurements would have revealed
at once the predominant direction of overthrow, and a fairly accurate
result might have been obtained by neglecting discordant directions
and taking the mean of those only which appeared to agree with the
mentally determined average.
This, indeed, appears to have been the course followed, more or less
unconsciously, by Mallet in his Neapolitan work. "When the observer,"
he says, "first enters upon one of those earthquake-shaken towns, he
finds himself in the midst of utter confusion. The eye is bewildered
by 'a city become an heap.' He wanders over masses of dislocated stone
and mortar, with timbers half buried, prostrate, or standing stark up
against the light, and is appalled by spectacles of desolation....
Houses seem to have been precipitated to the ground in every direction
of azimuth. There seems no governing law, nor any indication of a
prevailing direction of overturning force. It is only by first gaining
some commanding point, whence a general view over the whole field of
ruin can be had, and observing its places of greatest and least
destruction, and then by patient examination, compass in hand, of many
details of overthrow, house by house and street by street, analysing
each detail and comparing the results, as to the direction of force,
that must have produced each particular fall, with those previously
observed and compared, that we at length perceive, once for all, that
this apparent confusion is but superficial."
[Illustration: FIG. 9.--Meizoseismal area of Neapolitan
earthquake. (_Mallet._)]
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