safely assumed as part of the system. Thus, the law of definite
proportions, when applied to the actual state of nature, requires two
separate statements, the one announcing the general law of combination,
the other particularizing the numbers appropriate to the several
elements of which natural bodies consist, or the data of nature. Among
these data, if arranged in a list, there will be found opposite to the
element sulphur the number 16, and opposite to lead, 104[48]; and since
20 is to 130 in the exact proportion of 16 to 104, it appears that the
combination in question affords a satisfactory verification of the law.
(222.) The great importance of physical data of this description,
and the advantage of having them well determined, will be obvious,
if we consider, that a list of them, when taken in combination with
the general law, affords the means of determining at once the exact
proportion of the ingredients of all natural compounds, if we only know
the place they hold in the system. In chemistry, the number of admitted
elements is between fifty and sixty, and new ones are added continually
as the science advances. Now, the moment the number corresponding to
any new substance added to the list is determined, we have, in fact,
ascertained all the proportions in which it can enter into combination
with all the others, so that a careful experiment made with the object
of determining this number is, in fact, equivalent to as many different
experiments as there are binary, ternary, or yet more complicated
combinations capable of existing, into which the new substance may
enter, as an ingredient.
(223.) The importance of obtaining exact physical data can scarcely
be too much insisted on, for without them the most elaborate theories
are little better than mere inapplicable forms of words. It would be
of little consequence to be informed, abstractedly, that the sun and
planets attract each other, with forces proportional to their masses,
and inversely as the squares of their distances: but, as soon as we
know the data of our system, as soon as we have an accurate statement
(no matter how obtained) of the distances, masses, and actual motions
of the several bodies which compose it, we need no more to enable us to
predict all the movements of its several parts, and the changes that
will happen in it for thousands of years to come; and even to extend
our views backwards into time, and recover from the past, phenomena,
which no observation has noted, and no history recorded, and which yet
(it is possible) may have left indelible traces of their existence in
their influence on the state of nature in our own globe, and those of
the other planets.
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