(119.) If every scientific enquirer observed only for his own
satisfaction, and reasoned only on his own observations, it would be
of little importance what standards he used, or what contrivances (if
only just ones) he employed for this purpose; but if it be intended
(as it is most important they should) that observations once made
should remain as records to all mankind, and to all posterity, it is
evidently of the highest consequence that all enquirers should agree on
the use of a common standard, and that this should be one not liable
to change by lapse of time. The selection and verification of such
standards, however, will easily be understood to be a matter of extreme
difficulty, if only from the mere circumstance that, to verify the
permanence of one standard, we must compare it with others, which it
is possible may be themselves inaccurate, or, at least, stand in need
of verification.
(120.) Here we can only call to our assistance the presumed permanence
of the great laws of Nature, with all experience in its favour, and the
strong impression we have of the general composure and steadiness of
every thing relating to the gigantic mass we inhabit--“the great globe
itself.” In its uniform rotation on its axis, accordingly, we find a
standard of time, which nothing has ever given us reason to regard
as subject to change, and which, compared with other periods which
the revolutions of the planets about the sun afford, has demonstrably
undergone none since the earliest history. In the dimensions of the
earth we find a natural unit of the measure of space, which possesses
in perfection every quality that can be desired; and in its attraction
combined with its rotation the researches of dynamical science have
enabled us, through the medium of the pendulum, to obtain another
invariable standard, more refined and less obvious, it is true, in
its origin, but possessing a great advantage in its capability of
ready verification, and therefore easily made to serve as a check on
the other. The former, viz. direct measurement of the dimensions of
the earth, is the origin of the _mètre_, the French unit of linear
measure; the latter, of the British yard. Theoretically speaking,
they are equally eligible; but when we consider that the _quantity
directly measured_, in the case of the mètre, is a length a great many
thousand times the final unit, and in the pendulum or yard very nearly
the unit itself, there can be no hesitation in giving the preference
as an original measure to the former, because any error committed in
the process by which that is determined becomes subdivided in the
final result; while, on the other hand, any minute error committed
in determining the length of the pendulum becomes multiplied by the
repetition of the unit in all measurements of considerable lengths
performed in yards.
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