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

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    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="040/01/288.jpg" pagenum="268"/>
            <table>
              <table.target id="table2"/>
              <row>
                <cell/>
                <cell>
                  <emph type="italics"/>
                Tycho.
                  <emph.end type="italics"/>
                </cell>
                <cell/>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>
                  <emph type="italics"/>
                gr.
                  <emph.end type="italics"/>
                </cell>
                <cell>
                  <emph type="italics"/>
                m.
                  <emph.end type="italics"/>
                </cell>
                <cell/>
              </row>
              <row>
                <cell>Altitude of the Pole</cell>
                <cell>55</cell>
                <cell>58</cell>
                <cell/>
              </row>
              <row>
                <cell>Altitude of the Star</cell>
                <cell>84</cell>
                <cell>00</cell>
                <cell>the greateſt.</cell>
              </row>
              <row>
                <cell/>
                <cell>27</cell>
                <cell>57</cell>
                <cell>the leaſt.</cell>
              </row>
              <row>
                <cell>And theſe are, according to the firſt paper: but accor-ding to the ſecond, the greateſt is ------------</cell>
                <cell>27</cell>
                <cell>45</cell>
                <cell/>
              </row>
            </table>
            <table>
              <table.target id="table3"/>
              <row>
                <cell/>
                <cell>
                  <emph type="italics"/>
                Hainzelius.
                  <emph.end type="italics"/>
                </cell>
                <cell/>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>
                  <emph type="italics"/>
                gr.
                  <emph.end type="italics"/>
                </cell>
                <cell>
                  <emph type="italics"/>
                m.
                  <emph.end type="italics"/>
                </cell>
                <cell>
                  <emph type="italics"/>
                ſec.
                  <emph.end type="italics"/>
                </cell>
              </row>
              <row>
                <cell>Altitude of the Pole</cell>
                <cell>48</cell>
                <cell>22</cell>
                <cell/>
              </row>
              <row>
                <cell>Altitude of the Star</cell>
                <cell>76</cell>
                <cell>34</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>76</cell>
                <cell>33</cell>
                <cell>45</cell>
              </row>
              <row>
                <cell/>
                <cell>76</cell>
                <cell>35</cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>20</cell>
                <cell>09</cell>
                <cell>40</cell>
              </row>
              <row>
                <cell/>
                <cell>20</cell>
                <cell>09</cell>
                <cell>30</cell>
              </row>
              <row>
                <cell/>
                <cell>20</cell>
                <cell>09</cell>
                <cell>20</cell>
              </row>
            </table>
            <table>
              <table.target id="table4"/>
              <row>
                <cell>
                  <emph type="italics"/>
                Peucerus
                  <emph.end type="italics"/>
                and
                  <emph type="italics"/>
                Sculerus.
                  <emph.end type="italics"/>
                </cell>
                <cell/>
                <cell/>
                <cell>
                  <emph type="italics"/>
                Landgravius.
                  <emph.end type="italics"/>
                </cell>
                <cell/>
                <cell/>
              </row>
              <row>
                <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>Altitude of the pole</cell>
                <cell>51</cell>
                <cell>54</cell>
                <cell>Altitude of the pole</cell>
                <cell>51</cell>
                <cell>18</cell>
              </row>
              <row>
                <cell>Altitude of the Star</cell>
                <cell>79</cell>
                <cell>56</cell>
                <cell>Altitude of the Star</cell>
                <cell>79</cell>
                <cell>30</cell>
              </row>
              <row>
                <cell/>
                <cell>23</cell>
                <cell>33</cell>
                <cell/>
                <cell/>
                <cell/>
              </row>
            </table>
            <table>
              <table.target id="table5"/>
              <row>
                <cell/>
                <cell>
                  <emph type="italics"/>
                Camerarius.
                  <emph.end type="italics"/>
                </cell>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>
                  <emph type="italics"/>
                gr.
                  <emph.end type="italics"/>
                </cell>
                <cell>
                  <emph type="italics"/>
                m.
                  <emph.end type="italics"/>
                </cell>
              </row>
              <row>
                <cell>Altitude of the pole</cell>
                <cell>52</cell>
                <cell>24</cell>
              </row>
              <row>
                <cell>Altitude of the Star</cell>
                <cell>80</cell>
                <cell>30</cell>
              </row>
              <row>
                <cell/>
                <cell>80</cell>
                <cell>27</cell>
              </row>
              <row>
                <cell/>
                <cell>80</cell>
                <cell>26</cell>
              </row>
              <row>
                <cell/>
                <cell>24</cell>
                <cell>28</cell>
              </row>
              <row>
                <cell/>
                <cell>24</cell>
                <cell>20</cell>
              </row>
              <row>
                <cell/>
                <cell>24</cell>
                <cell>17</cell>
              </row>
            </table>
            <table>
              <table.target id="table6"/>
              <row>
                <cell>
                  <emph type="italics"/>
                Hagecius
                  <emph.end type="italics"/>
                </cell>
                <cell/>
                <cell/>
                <cell>
                  <emph type="italics"/>
                Maurolycus.
                  <emph.end type="italics"/>
                </cell>
                <cell/>
                <cell/>
              </row>
              <row>
                <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>Altitude of the pole</cell>
                <cell>48</cell>
                <cell>22</cell>
                <cell>Altitude of the pole</cell>
                <cell>38</cell>
                <cell>30</cell>
              </row>
              <row>
                <cell>Altitude of the Star</cell>
                <cell>20</cell>
                <cell>15</cell>
                <cell>Altitude of the Star</cell>
                <cell>62</cell>
                <cell>00</cell>
              </row>
              <row>
                <cell>
                  <emph type="italics"/>
                Munocius.
                  <emph.end type="italics"/>
                </cell>
                <cell/>
                <cell/>
                <cell>
                  <emph type="italics"/>
                Vrſinus.
                  <emph.end type="italics"/>
                </cell>
                <cell/>
                <cell/>
              </row>
              <row>
                <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>Altitude of the pole</cell>
                <cell>39</cell>
                <cell>30</cell>
                <cell>Altitude of the pole</cell>
                <cell>49</cell>
                <cell>24</cell>
              </row>
              <row>
                <cell>Altitude of the ſtar</cell>
                <cell>67</cell>
                <cell>30</cell>
                <cell>Altitude of the ſtar</cell>
                <cell>79</cell>
                <cell>00</cell>
              </row>
              <row>
                <cell/>
                <cell>11</cell>
                <cell>30</cell>
                <cell/>
                <cell>22</cell>
                <cell>00</cell>
              </row>
              <row>
                <cell>
                  <emph type="italics"/>
                Reinholdus.
                  <emph.end type="italics"/>
                </cell>
                <cell/>
                <cell/>
                <cell>
                  <emph type="italics"/>
                Buchius.
                  <emph.end type="italics"/>
                </cell>
                <cell/>
                <cell/>
              </row>
              <row>
                <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>Altitude of the pole</cell>
                <cell>51</cell>
                <cell>18</cell>
                <cell>Altitude of the pole</cell>
                <cell>51</cell>
                <cell>10</cell>
              </row>
              <row>
                <cell>Altitude of the ſtar</cell>
                <cell>79</cell>
                <cell>30</cell>
                <cell>Altitude of the ſtar</cell>
                <cell>79</cell>
                <cell>20</cell>
              </row>
              <row>
                <cell/>
                <cell>23</cell>
                <cell>02</cell>
                <cell/>
                <cell>22</cell>
                <cell>40</cell>
              </row>
            </table>
            <table>
              <table.target id="table7"/>
              <row>
                <cell>
                  <emph type="italics"/>
                Gemma.
                  <emph.end type="italics"/>
                </cell>
                <cell/>
                <cell/>
              </row>
              <row>
                <cell/>
                <cell>
                  <emph type="italics"/>
                gr.
                  <emph.end type="italics"/>
                </cell>
                <cell>
                  <emph type="italics"/>
                m.
                  <emph.end type="italics"/>
                </cell>
              </row>
              <row>
                <cell>Altitude of the pole</cell>
                <cell>50</cell>
                <cell>50</cell>
              </row>
              <row>
                <cell>Altitude of the ſtar</cell>
                <cell>79</cell>
                <cell>45</cell>
              </row>
            </table>
            <p type="main">
              <s>Now to ſee my whole proceeding, we may begin from theſe
                <lb/>
              calculations, which are four, omitted by the Author, perhaps
                <lb/>
              cauſe they make againſt him, in regard they place the ſtar above
                <lb/>
              the moon by many ſemidiameters of the Earth. </s>
              <s>The firſt of
                <lb/>
              which is this, computed upon the obſervations of the Landgrave of
                <lb/>
                <emph type="italics"/>
              Haſſia,
                <emph.end type="italics"/>
              and
                <emph type="italics"/>
              Tycho
                <emph.end type="italics"/>
              ; which are, even by the Authors conceſſion,
                <lb/>
              two of the moſt exact obſervers: and in this firſt, I will declare
                <lb/>
              the order that I hold in the working; which ſhall ſerve for all the
                <lb/>
              reſt, in that they are all made by the ſame rule, not varying in any
                <lb/>
              thing, ſave in the quantity of the given ſummes, that is, in the
                <lb/>
              number of the degrees of the Poles altitude, and of the new Stars
                <lb/>
              elevation above the Horizon, the diſtance of which from the
                <lb/>
              tre of the Earth, in proportion to the ſemidiameter of the terre­
                <lb/>
              ſtrial Globe is ſought, touching which it nothing imports in this
                <lb/>
              caſe, to know how many miles that ſemidiameter conteineth;
                <lb/>
              whereupon the reſolving that, and the diſtance of places where
                <lb/>
              the obſervations were made, as this Author doth, is but time and
                <lb/>
              labour loſt; nor do I know why he hath made the ſame, and
                <lb/>
              cially why at the laſt he goeth about to reduce the miles found,
                <lb/>
              to ſemidiameters of the Terreſtrial Globe.</s>
            </p>
            <p type="main">
              <s>SIMP. </s>
              <s>Perhaps he doth this to finde with ſuch ſmall meaſures,
                <lb/>
              and with their fractions the diſtance of the Star terminated to three
                <lb/>
              or four inches; for we that do not underſtand your rules of
                <lb/>
              metick, are ſtupified in hearing your concluſions; as for inſtance,
                <lb/>
              whilſt we read; Therefore the new Star or Comet was diſtant
                <lb/>
              from the Earths centre three hundred ſeventy and three thouſand
                <lb/>
              eight hundred and ſeven miles; and moreover, two hundred and
                <lb/>
              eleven, four chouſand ninety ſevenths 373807 211/4097, and upon theſe
                <lb/>
              preciſe punctualities, wherein you take notice of ſuch ſmall
                <lb/>
              ters, we do conceive it to be impoſſible, that you, who in our
                <lb/>
              culations keep an account of an inch, can at the cloſe deceive us ſo
                <lb/>
              much as an hundred miles.</s>
            </p>
            <p type="main">
              <s>SALV. </s>
              <s>This your reaſon and excuſe would paſſe for currant,
                <lb/>
              if in a diſtance of thouſands of miles, a yard over or under were
                <lb/>
              of any great moment, and if the ſuppoſitions that we take for
                <lb/>
              true, were ſo certain, as that they could aſſure us of producing an
                <lb/>
              indubitable truth in the concluſion; but here you ſee in the twelve
                <lb/>
              workings of the Author, the diſtances of the Star, which from
                <lb/>
              them one may conclude to have been different from each other,
                <lb/>
              (and therefore wide of the truth) for many hundreds and
                <lb/>
              ſands of miles: now whilſt that I am more than certain, that that
                <lb/>
              which I ſeek muſt needs differ from the truth by hundreds of miles,
                <lb/>
              to what purppſe is it to be ſo curious in our calculations, for fear
                <lb/>
              of miſſing the quantity of an inch? </s>
              <s>But let us proceed, at laſt,
                <lb/>
              to the working, which I reſolve in this manner.
                <emph type="italics"/>
              Tycho,
                <emph.end type="italics"/>
              as may be </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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