Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="040/01/299.jpg" pagenum="279"/>
                <arrow.to.target n="table45"/>
              </s>
            </p>
            <table>
              <table.target id="table44"/>
              <row>
                <cell>B D</cell>
                <cell>Chord</cell>
                <cell>1804</cell>
              </row>
              <row>
                <cell>B D C</cell>
                <cell>Sine</cell>
                <cell>36643</cell>
              </row>
              <row>
                <cell>B C D</cell>
                <cell>Sine</cell>
                <cell>29</cell>
              </row>
            </table>
            <table>
              <table.target id="table45"/>
              <row>
                <cell/>
                <cell>36643</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>1804</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>146572</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>293144</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>36643</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>22</cell>
                <cell/>
              </row>
              <row>
                <cell>29</cell>
                <cell>661</cell>
                <cell>03972</cell>
              </row>
              <row>
                <cell/>
                <cell>83</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>2</cell>
                <cell/>
              </row>
            </table>
            <p type="main">
              <s>Let us now ſee the ninth. </s>
              <s>Here is the chord, the ſines and
                <lb/>
              the Parallax which is 15
                <emph type="italics"/>
              m.
                <emph.end type="italics"/>
              From whence the Authour
                <lb/>
              lates the diſtance of the ſtar from the ſuperficies of the Earth
                <lb/>
              to be leſſe than a ^{*} ſeven and fortieth part of a ſemidiameter,
                <lb/>
                <arrow.to.target n="marg513"/>
                <lb/>
              but this is an errour in the calcultaion, for it cometh forth truly,
                <lb/>
              as we ſhall ſee here below, more than a ſifth: See here the
                <lb/>
              tienr is 90/436, which is more than one
                <lb/>
                <arrow.to.target n="table46"/>
                <lb/>
                <arrow.to.target n="table47"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg513"/>
              * Here the
                <lb/>
              tine verſion is
                <lb/>
              neous, making it
                <lb/>
              a fortieth part of,
                <lb/>
                <emph type="italics"/>
              &c.
                <emph.end type="italics"/>
              </s>
            </p>
            <table>
              <table.target id="table46"/>
              <row>
                <cell>B D</cell>
                <cell>Chord</cell>
                <cell>232</cell>
              </row>
              <row>
                <cell>B D C</cell>
                <cell>Sine</cell>
                <cell>39046</cell>
              </row>
              <row>
                <cell>B C D</cell>
                <cell>Sine</cell>
                <cell>436</cell>
              </row>
            </table>
            <table>
              <table.target id="table47"/>
              <row>
                <cell/>
                <cell>39046</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>232</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>78092</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>117138</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>78092</cell>
                <cell/>
              </row>
              <row>
                <cell>436</cell>
                <cell>90</cell>
                <cell>58672</cell>
              </row>
            </table>
            <p type="main">
              <s>That which the Authour preſently after ſubjoyns in way of
                <lb/>
              amending the obſervations, that is, that it ſuſſiceth not to
                <lb/>
              duce the difference of Parallax, neither to a minute, nor yet
                <lb/>
              to the eighth part of a minute is true. </s>
              <s>But I ſay, that neither
                <lb/>
              will the tenth part of a minute reduce the height of the ſtar to
                <lb/>
              32. ſemidiameters; for the ſine of the tenth part of a minute,
                <lb/>
              that is of ſix ſeconds, is 3; by which if we according to our Rule
                <lb/>
              ſhould divide 90. or we may ſay, if we ſhould divide 9058672.
                <lb/>
              by 300000. the quotient will be 30 58672/100000, that is little more
                <lb/>
              than 30. ſemidiameters and an half.</s>
            </p>
            <p type="main">
              <s>The tenth giveth the altitude of the ſtar one fifth of a
                <lb/>
              diameter, with theſe angles, ſines, and Parallax, that is, 4
                <emph type="italics"/>
              gr.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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