Agricola, Georgius, De re metallica, 1912/1950

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This division is made in various ways. A mine, and the same thing
must
be understood with regard to a tunnel, may be divided into two halves,
that
is into two similar portions, by which method two owners spend
an
equal amount on it and draw an equal profit from it, for each possesses
one
half.
Sometimes it is divided into four shares, by which compact
four
persons can be owners, so that each possesses one-fourth, or also two
persons
, so that one possesses three-fourths, and the other only one-fourth
or
three owners, so that the first has two-fourths, and the second and third
one-fourth
each.
Sometimes it is divided into eight shares, by which plan
there
may be eight owners, so that each is possessor of one-eighth; some­
times
there are two owners, so that one has five-sixths9 together with one
twenty-fourth
, and the other one-eighth; or there may be three owners, in
which
one has three-quarters and the second and third each one-eighth;
or
it may be divided so that one owner has seven-twelfths, together with
one
twenty-fourth, a second owner has one-quarter, and a third owner has
one-eighth
; or so that the first has one-half, the second one-third and one
twenty-fourth
, and the third one-eighth; or so that the first has one-half,
as
before, and the second and third each one-quarter; or so that the first
and
second each have one-third and one twenty-fourth, and the third one­
quarter
; and in the same way the divisions may be adjusted in all the other
proportions
.
The different ways of dividing the shares originate from the
different
proportions of ownership.
Sometimes a mine is divided into
sixteen
parts, each of which is a twenty-fourth and a forty-eighth; or it may
be
divided into thirty-two parts, each of which is a forty-eighth and half a
seventy-second
and a two hundred and eighty-eighth; or into sixty-four
parts
of which each share is one seventy-second and one five hundred and
seventy-sixth
; or finally, into one hundred and twenty-eight parts, any one
of
which is half a seventy-second and half of one five hundred and seventy­
sixth
.

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