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

Table of figures

< >
[Figure 181]
[Figure 182]
[Figure 183]
[Figure 184]
[Figure 185]
[Figure 186]
[Figure 187]
[Figure 188]
[Figure 189]
[Figure 190]
[Figure 191]
[Figure 192]
[Figure 193]
[Figure 194]
[Figure 195]
[Figure 196]
[Figure 197]
[Figure 198]
[Figure 199]
[Figure 200]
[Figure 201]
[Figure 202]
[Figure 203]
[Figure 204]
[Figure 205]
[Figure 206]
[Figure 207]
[Figure 208]
[Figure 209]
[Figure 210]
< >
page |< < of 701 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="040/01/294.jpg" pagenum="274"/>
              diſtances, the mutations, or if you pleaſe corrections, of a
                <lb/>
              ry few minutes, removeth the ſtar a very great way farther off.
                <lb/>
              </s>
              <s>As for example, in the firſt of theſe workings, where the
                <lb/>
              lation made the ſtar 60. ſemidiameters remote from the centre,
                <lb/>
              with the Parallax of 2. minutes; he that would maintain that it
                <lb/>
              was in the Firmament, is to correct in the obſervations but onely
                <lb/>
              two minutes, nay leſſe, for then the Parallax ceaſeth, or
                <lb/>
              commeth ſo ſmall, that it removeth the ſtar to an immenſe
                <lb/>
              ſtance, which by all is received to be the Firmament. </s>
              <s>In the
                <lb/>
              cond indagation, or working, the correction of leſſe than 4
                <emph type="italics"/>
              m.
                <lb/>
              </s>
              <s>prim.
                <emph.end type="italics"/>
              doth the ſame. </s>
              <s>In the third, and fourth, like as in the firſt,
                <lb/>
              two minutes onely mount the ſtar even above the Firmament.
                <lb/>
              </s>
              <s>In the laſt preceding, a quarter of a minute, that is 15. ſeconds,
                <lb/>
              gives us the ſame. </s>
              <s>But it doth not ſo occur in the ſublunary
                <lb/>
              tudes; for if you fancy to your ſelf what diſtance you moſt
                <lb/>
              like, and go about to correct the workings made by the
                <lb/>
              thour, and adjuſt them ſo as that they all anſwer in the ſame
                <lb/>
              determinate diſtance, you will find how much greater
                <lb/>
              ons they do require.</s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>It cannot but help us in our fuller underſtanding of
                <lb/>
              things, to ſee ſome examples of this which you ſpeak of.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>Do you aſſign any whatſoever determinate ſublunary
                <lb/>
              diſtance at pleaſure in which to conſtitute the ſtar, for with ſmall
                <lb/>
              ado we may aſſertain our ſelves whether corrections like to theſe,
                <lb/>
              which we ſee do ſuffice to reduce it amongſt the fixed ſtars, will
                <lb/>
              reduce it to the place by you aſſigned.</s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>To take a diſtance that may favour the Authour, we
                <lb/>
              will ſuppoſe it to be that which is the greateſt of all thoſe found
                <lb/>
              by him in his 12 workings; for whilſt it is in controverſie
                <lb/>
              tween him and Aſtronomers, and that they affirm the ſtar to
                <lb/>
              have been ſuperiour to the Moon, and he that it was inferiour,
                <lb/>
              very ſmall ſpace that he proveth it to have been lower, giveth
                <lb/>
              him the victory.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>Let us therefore take the ſeventh working wrought
                <lb/>
              upon the obſervations of
                <emph type="italics"/>
              Tycho
                <emph.end type="italics"/>
              and
                <emph type="italics"/>
              Thaddæus Hagecius,
                <emph.end type="italics"/>
              by
                <lb/>
              which the Authour found the ſtar to have been diſtant from the
                <lb/>
              centre 32. ſemidiameters, which ſituation is moſt favourable to
                <lb/>
              his purpoſe; and to give him all advantages, let us moreover
                <lb/>
              place it in the diſtance moſt disfavouring the
                <emph type="italics"/>
              Aſtronomers,
                <emph.end type="italics"/>
              which
                <lb/>
              is to ſituate it above the Firmament. </s>
              <s>That therefore being
                <lb/>
              poſed, let us ſeek in the next place what corrections it would be
                <lb/>
              ceſſary to apply to his other 11 workings. </s>
              <s>And let us begin at the
                <lb/>
              firſt calculated upon the obſervations of
                <emph type="italics"/>
              Hainzelius
                <emph.end type="italics"/>
              and
                <emph type="italics"/>
              Mauroice
                <emph.end type="italics"/>
              ;
                <lb/>
              in which the Authour findeth the diſtance from the centre about
                <lb/>
              3. ſemidiameters with the Parallax of 4
                <emph type="italics"/>
              gr. </s>
              <s>42 m. </s>
              <s>30. ſec.
                <emph.end type="italics"/>
              Let </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>