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

List of thumbnails

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page |< < of 701 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="040/01/298.jpg" pagenum="278"/>
                <arrow.to.target n="table41"/>
              </s>
            </p>
            <table>
              <table.target id="table40"/>
              <row>
                <cell/>
                <cell>B A D</cell>
                <cell>Chord</cell>
                <cell>4034</cell>
              </row>
              <row>
                <cell>Angles</cell>
                <cell>B D C</cell>
                <cell>Sine</cell>
                <cell>97998</cell>
              </row>
              <row>
                <cell/>
                <cell>B C D</cell>
                <cell/>
                <cell>1236</cell>
              </row>
            </table>
            <table>
              <table.target id="table41"/>
              <row>
                <cell/>
                <cell>97998</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>4034</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>391992</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>293994</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>391992</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>27</cell>
                <cell/>
              </row>
              <row>
                <cell>145</cell>
                <cell>3953</cell>
                <cell>23932</cell>
              </row>
              <row>
                <cell/>
                <cell>1058</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>3</cell>
                <cell/>
              </row>
            </table>
            <p type="main">
              <s>In the ſixth operation the chord, the ſines and Parallax are as
                <lb/>
              followeth, and the ſtar is found to be about 4 ſemidiameters; let
                <lb/>
              us ſee whether it will be reduced, abating the Parallax from 8
                <emph type="italics"/>
              m.
                <emph.end type="italics"/>
                <lb/>
              to 1
                <emph type="italics"/>
              m.
                <emph.end type="italics"/>
              onely; Here is the operation, and the ſtar raiſed but to
                <lb/>
              27. ſemidiameters or thereabout; therefore the correction of 7
                <emph type="italics"/>
              m.
                <emph.end type="italics"/>
                <lb/>
              in 8
                <emph type="italics"/>
              m.
                <emph.end type="italics"/>
              doth not
                <lb/>
                <arrow.to.target n="table42"/>
                <lb/>
                <arrow.to.target n="table43"/>
              </s>
            </p>
            <table>
              <table.target id="table42"/>
              <row>
                <cell>B D</cell>
                <cell>Chord</cell>
                <cell>1920</cell>
              </row>
              <row>
                <cell>B D C</cell>
                <cell>Sine</cell>
                <cell>40248</cell>
              </row>
              <row>
                <cell>B C D 8
                  <emph type="italics"/>
                gr.
                  <emph.end type="italics"/>
                </cell>
                <cell>Sine</cell>
                <cell>233</cell>
              </row>
            </table>
            <table>
              <table.target id="table43"/>
              <row>
                <cell/>
                <cell>40248</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>1920</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>804960</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>362232</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>40248</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>26</cell>
                <cell/>
              </row>
              <row>
                <cell>29</cell>
                <cell>772</cell>
                <cell>76160</cell>
              </row>
              <row>
                <cell/>
                <cell>198</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>1</cell>
                <cell/>
              </row>
            </table>
            <p type="main">
              <s>In the eighth operation the chord, the ſines, and the Parallax,
                <lb/>
              as you ſee, are theſe enſuing, and hence the Authour calculates
                <lb/>
              the height of the ſtar to be 1. ſemidiameter and an half, with the
                <lb/>
              Parallax of 43.
                <emph type="italics"/>
              min.
                <emph.end type="italics"/>
              which reduced to 1
                <emph type="italics"/>
              min.
                <emph.end type="italics"/>
              yet
                <lb/>
              ing giveth the ſtar leſſe remote than 24. ſemidiameters, the
                <lb/>
              ction therefore of 42.
                <emph type="italics"/>
              min.
                <emph.end type="italics"/>
              is not
                <lb/>
                <arrow.to.target n="table44"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>