Agricola, Georgius, De re metallica, 1912/1950

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb pagenum="90"/>
              often admits others to share with him, and they join with him in forming a
                <lb/>
              company, and they each lay out a part of the expense and share with him
                <lb/>
              the profit or loss of the mine. </s>
              <s>But the title of the mines or tunnels remains
                <lb/>
              undivided, although for the purpose of dividing the expense and profit it
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              may be said each mine or tunnel is divided into parts
                <emph type="sup"/>
              8
                <emph.end type="sup"/>
              .</s>
            </p>
            <p type="main">
              <s>This division is made in various ways. </s>
              <s>A mine, and the same thing
                <lb/>
              must be understood with regard to a tunnel, may be divided into two halves,
                <lb/>
              that is into two similar portions, by which method two owners spend
                <lb/>
              an equal amount on it and draw an equal profit from it, for each possesses
                <lb/>
              one half. </s>
              <s>Sometimes it is divided into four shares, by which compact
                <lb/>
              four persons can be owners, so that each possesses one-fourth, or also two
                <lb/>
              persons, so that one possesses three-fourths, and the other only one-fourth
                <gap/>
                <lb/>
              or three owners, so that the first has two-fourths, and the second and third
                <lb/>
              one-fourth each. </s>
              <s>Sometimes it is divided into eight shares, by which plan
                <lb/>
              there may be eight owners, so that each is possessor of one-eighth; some­
                <lb/>
              times there are two owners, so that one has five-sixths
                <emph type="sup"/>
              9
                <emph.end type="sup"/>
              together with one
                <lb/>
              twenty-fourth, and the other one-eighth; or there may be three owners, in
                <lb/>
              which one has three-quarters and the second and third each one-eighth;
                <lb/>
              or it may be divided so that one owner has seven-twelfths, together with
                <lb/>
              one twenty-fourth, a second owner has one-quarter, and a third owner has
                <lb/>
              one-eighth; or so that the first has one-half, the second one-third and one
                <lb/>
              twenty-fourth, and the third one-eighth; or so that the first has one-half,
                <lb/>
              as before, and the second and third each one-quarter; or so that the first
                <lb/>
              and second each have one-third and one twenty-fourth, and the third one­
                <lb/>
              quarter; and in the same way the divisions may be adjusted in all the other
                <lb/>
              proportions. </s>
              <s>The different ways of dividing the shares originate from the
                <lb/>
              different proportions of ownership. </s>
              <s>Sometimes a mine is divided into
                <lb/>
              sixteen parts, each of which is a twenty-fourth and a forty-eighth; or it may
                <lb/>
              be divided into thirty-two parts, each of which is a forty-eighth and half a
                <lb/>
              seventy-second and a two hundred and eighty-eighth; or into sixty-four
                <lb/>
              parts of which each share is one seventy-second and one five hundred and
                <lb/>
              seventy-sixth; or finally, into one hundred and twenty-eight parts, any one
                <lb/>
              of which is half a seventy-second and half of one five hundred and seventy­
                <lb/>
              sixth.</s>
            </p>
            <p type="main">
              <s>Now an iron mine either remains undivided or is divided into two,
                <lb/>
              four, or occasionally more shares, which depends on the excellence of the
                <lb/>
              veins. </s>
              <s>But a lead, bismuth, or tin mine, and likewise one of copper or even
                <lb/>
              quicksilver, is also divided into eight shares, or into sixteen or thirty-two,
                <lb/>
              and less commonly into sixty-four. </s>
              <s>The number of the divisions of the silver
                <lb/>
              mines at Freiberg in Meissen did not formerly progress beyond this; but
                <lb/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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