Agricola, Georgius, De re metallica, 1912/1950

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb pagenum="135"/>
              generally speaking, it is not deep; but there are usually several, all
                <lb/>
              inclined, and one always following the other. </s>
              <s>Therefore, if a tunnel is seventy­
                <lb/>
              seven fathoms long, it will reach to the middle of the bottom of a shaft when
                <lb/>
              six fathoms and two feet further have been sunk. </s>
              <s>But if all such inclined
                <lb/>
              shafts are seventy-six fathoms deep, in order that the last one may reach
                <lb/>
              the bottom of the tunnel, a depth of seven fathoms and two feet remains to
                <lb/>
              be sunk.</s>
            </p>
            <figure number="62"/>
            <p type="caption">
              <s>TRIANGLE HAVING AN OBTUSE ANGLE AND TWO EQUAL SIDES.</s>
            </p>
            <p type="main">
              <s>If a minor triangle is made which has an obtuse angle and three unequal
                <lb/>
              sides, then again the sides of the large triangle cannot be equal. </s>
              <s>For
                <lb/>
              example, if the first side of the minor triangle is six feet long, the second
                <lb/>
              three feet, and the third four feet, and the cord along the side of the greater
                <lb/>
              triangle one hundred and one times six feet, that is, one hundred and one
                <lb/>
              fathoms, the distance between the mouth of the tunnel and the bottom of
                <lb/>
              the last shaft will be a length one hundred times three feet, or fifty fathoms;
                <lb/>
              but the depth that lies between the mouth of the first shaft and the bottom of
                <lb/>
              the tunnel is one hundred times four feet, or sixty-six fathoms and four feet.
                <lb/>
              </s>
              <s>Therefore, if a tunnel is forty-four fathoms long, the remaining distance to
                <lb/>
              be driven is six fathoms. </s>
              <s>If the shafts are fifty-eight fathoms deep, the
                <lb/>
              newest will touch the bottom of the tunnel when eight fathoms and four
                <lb/>
              feet have been sunk.</s>
            </p>
            <figure number="63"/>
            <p type="caption">
              <s>TRIANGLE HAVING AN OBTUSE ANGLE AND THREE UNEQUAL SIDES.</s>
            </p>
            <p type="main">
              <s>If a minor triangle is produced which has all its angles acute and its
                <lb/>
              three sides equal, then necessarily the second and third sides of the minor
                <lb/>
              triangle will be equal, and likewise the sides of the major triangle frequently
                <lb/>
              referred to will be equal. </s>
              <s>Thus if each side of the minor triangle is six feet
                <lb/>
              long, and the cord measurement for the side of the major triangle is one
                <lb/>
              hundred and one times six feet, that is, one hundred and one fathoms, then
                <lb/>
              both the distances to be dug will be one hundred fathoms. </s>
              <s>And thus if the
                <lb/>
              tunnel is ninety fathoms long, it will reach the middle of the bottom of the
                <lb/>
              last shaft when ten fathoms further have been driven. </s>
              <s>If the shafts are </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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