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

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="040/01/304.jpg" pagenum="284"/>
            <table>
              <table.target id="table57"/>
              <row>
                <cell/>
                <cell/>
                <cell>
                  <emph type="italics"/>
                gr.
                  <emph.end type="italics"/>
                </cell>
                <cell>
                  <emph type="italics"/>
                m.
                  <emph.end type="italics"/>
                </cell>
                <cell/>
                <cell>
                  <emph type="italics"/>
                gr.
                  <emph.end type="italics"/>
                </cell>
                <cell>
                  <emph type="italics"/>
                m.
                  <emph.end type="italics"/>
                </cell>
              </row>
              <row>
                <cell>
                  <emph type="italics"/>
                Landgrave
                  <emph.end type="italics"/>
                </cell>
                <cell>Polar altit.</cell>
                <cell>51</cell>
                <cell>18</cell>
                <cell>Altit. of the Star</cell>
                <cell>79</cell>
                <cell>30</cell>
              </row>
              <row>
                <cell>
                  <emph type="italics"/>
                Gemma
                  <emph.end type="italics"/>
                </cell>
                <cell/>
                <cell>50</cell>
                <cell>50</cell>
                <cell/>
                <cell>79</cell>
                <cell>45</cell>
              </row>
            </table>
            <p type="main">
              <s>The other two are theſe
                <lb/>
                <arrow.to.target n="table58"/>
              </s>
            </p>
            <table>
              <table.target id="table58"/>
              <row>
                <cell/>
                <cell/>
                <cell>
                  <emph type="italics"/>
                gr.
                  <emph.end type="italics"/>
                </cell>
                <cell>
                  <emph type="italics"/>
                m.
                  <emph.end type="italics"/>
                </cell>
                <cell/>
                <cell>
                  <emph type="italics"/>
                gr.
                  <emph.end type="italics"/>
                </cell>
                <cell>
                  <emph type="italics"/>
                m.
                  <emph.end type="italics"/>
                </cell>
              </row>
              <row>
                <cell>
                  <emph type="italics"/>
                Buſchius.
                  <emph.end type="italics"/>
                </cell>
                <cell>Polar Altitude</cell>
                <cell>51</cell>
                <cell>10</cell>
                <cell>Altit. of the Star</cell>
                <cell>79</cell>
                <cell>20</cell>
              </row>
              <row>
                <cell>
                  <emph type="italics"/>
                Gemma.
                  <emph.end type="italics"/>
                </cell>
                <cell/>
                <cell>50</cell>
                <cell>50</cell>
                <cell/>
                <cell>79</cell>
                <cell>45</cell>
              </row>
              <row>
                <cell>
                  <emph type="italics"/>
                Reinholdus.
                  <emph.end type="italics"/>
                </cell>
                <cell>Polar Altitude</cell>
                <cell>51</cell>
                <cell>18</cell>
                <cell>Altit. of the Star</cell>
                <cell>79</cell>
                <cell>30</cell>
              </row>
              <row>
                <cell>
                  <emph type="italics"/>
                Gemma.
                  <emph.end type="italics"/>
                </cell>
                <cell/>
                <cell>50</cell>
                <cell>50</cell>
                <cell/>
                <cell>79</cell>
                <cell>45</cell>
              </row>
            </table>
            <p type="main">
              <s>From what I have hitherto demonſtrated, you may gueſſe how
                <lb/>
              much this firſt way of finding out the diſtance of the Star, and
                <lb/>
              proving it ſublunary introduced by the Authour, maketh againſt
                <lb/>
              himſelf, and how much more probably and clearly the diſtance
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              thereof is collected to have been amongſt the more remote fixed
                <lb/>
              Stars.</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>As to this particular, I think that the inefficacy of the
                <lb/>
              Authors demonftrations is very plainly diſcovered; But I ſee that all
                <lb/>
              this was compriſed in but a few leaves of his Book, and it may be,
                <lb/>
              that ſome other of his Arguments are more concluſive then theſe
                <lb/>
              firſt.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>Rather they muſt needs be leſſe valid, if we will take
                <lb/>
              thoſe that lead the way for a proof of the reſt: For (as it is clear)
                <lb/>
              the uncertainty and inconcluſiveneſſe of thoſe, is manifeſtly
                <lb/>
              ſerved to derive it ſelf from the errours committed in the
                <lb/>
              mental obſervations, upon which the Polar Altitude, and height
                <lb/>
              of the Star was thought to have been juſtly taken, all in effect
                <lb/>
              having eaſily erred; And yet to find the Altitude of the Pole,
                <lb/>
              ſtronomers have had Ages of time to apply themſelves to it, at their
                <lb/>
              leaſure: and the Meridian Altitudes of the Star are eaſier to be
                <lb/>
              obſerved, as being moſt terminate, and yielding the Obſervator
                <lb/>
              ſome time to continue the ſame, in regard they change not ſenſibly,
                <lb/>
              in a ſhort time, as thoſe do that are remote from the Meridian. </s>
              <s>And
                <lb/>
              if this be ſo, as it is moſt certain, what credit ſhall we give to
                <lb/>
              lations founded upon Obſervations more numerous, more difficult
                <lb/>
              to be wrought, more momentary in variation, and we may add,
                <lb/>
              with Inſtruments more incommodious and erroneous? </s>
              <s>Upon a
                <lb/>
              ſlight peruſal of the enſuing demonſtrations, I ſee that the
                <lb/>
              putations are made upon Altitudes of the Star taken in different
                <lb/>
              Vertical Circles, which are called by the Arabick name,
                <emph type="italics"/>
              Azimuths
                <emph.end type="italics"/>
              ; in
                <lb/>
              which obſervations moveable inſtruments are made uſe of, not
                <lb/>
              ly in the Vertical Circles, but in the Horizon alſo, at the ſame time;
                <lb/>
              inſomuch that it is requiſite in the ſame moment that the altitude
                <lb/>
              is taken, to have obſerved, in the Horizon, the diſtance of the </s>
            </p>
          </chap>
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    </archimedes>