249. Having thus, I hope, thrown some light upon the
theoretical part of the question, I shall endeavour to shew that
the mechanical execution of such an engine, as would produce this
series of numbers, is not so far removed from that of ordinary
machinery as might be conceived.(3*) Let the reader imagine three
clocks, placed on a table side by side, each having only one
hand, and each having a thousand divisions instead of twelve
hours marked on the face; and every time a string is pulled, let
them strike on a bell the numbers of the divisions to which their
hands point. Let him further suppose that two of the clocks, for
the sake of distinction called B and C, have some mechanism by
which the clock C advances the hand of the clock B one division,
for each stroke it makes upon its own bell: and let the clock B
by a similar contrivance advance the hand of the clock A one
division, for each stroke it makes on its own bell. With such an
arrangement, having set the hand of the clock A to the division
I, that of B to III, and that of C to II, let the reader imagine
the repeating parts of the clocks to be set in motion continually
in the following order: viz.
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