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

Page concordance

< >
Scan Original
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
< >
page |< < of 701 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="040/01/046.jpg" pagenum="30"/>
              is corrupted, reſides it in the ſame Earth or in ſome other bodie,
                <lb/>
              which muſt either be the Air or Water? </s>
              <s>I believe you will grant,
                <lb/>
              that like as the Motions upwards and downwards, and gravity
                <lb/>
              and levity, which you make the firſt contraries, cannot be in the
                <lb/>
              ſame Subject, ſo neither can moiſt and dry, hot and cold: you
                <lb/>
              muſt therefore conſequently acknowledg that when a bodie
                <lb/>
                <arrow.to.target n="marg88"/>
                <lb/>
              rupteth, it is occaſioned by ſome quality reſiding in another
                <lb/>
              trary to its own: therefore to make the Cœleſtial Body become
                <lb/>
              corruptible, it ſufficeth that there are in Nature, bodies that have
                <lb/>
              a contrariety to that Cœleſtial body; and ſuch are the Elements,
                <lb/>
              if it be true that corruptibility be contrary to incorruptibility.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg88"/>
                <emph type="italics"/>
              Contraries which
                <lb/>
              are the cauſes of
                <lb/>
              corruption, reſide
                <lb/>
              not in the ſame
                <lb/>
              dy that corrupteth.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>SIMPL. </s>
              <s>This ſufficeth not, Sir; The Elements alter and
                <lb/>
              rupt, becauſe they are intermixed, and are joyn'd to one another,
                <lb/>
                <arrow.to.target n="marg89"/>
                <lb/>
              and ſo may exerciſe their contrariety; but Cœleſtial bodies are
                <lb/>
              ſeparated from the Elements, by which they are not ſo much as
                <lb/>
              toucht, though indeed they have an influence upon the Elements.
                <lb/>
              </s>
              <s>It is requiſite, if you will prove generation and corruption in
                <lb/>
              leſtial bodies, that you ſhew, that there reſides contrarieties
                <lb/>
              tween them.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg89"/>
                <emph type="italics"/>
              Cœleſtial Bodies
                <lb/>
              touch, but are not
                <lb/>
              touched by the
                <lb/>
              lements.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>SAGR. </s>
              <s>See how I will find thoſe contrarieties between them.
                <lb/>
              </s>
              <s>The firſt fountain from whence you derive the contrariety of the
                <lb/>
              Elements, is the contrariety of their motions upwards and
                <lb/>
              wards: it therefore is neceſſary that thoſe Principles be in like
                <lb/>
                <arrow.to.target n="marg90"/>
                <lb/>
              manner contraries to each other, upon which thoſe motions
                <lb/>
              pend. </s>
              <s>and becauſe that is moveable upwards by lightneſs,
                <lb/>
              and this downwards by gravitv, it is neceſſary that lightneſs and
                <lb/>
              gravity are contrary to each other: no leſs are we to believe thoſe
                <lb/>
              other Principles to be contraries, which are the cauſes that this is
                <lb/>
              heavy, and that light: but by your own confeſſion, levity and
                <lb/>
              gravity follow as conſequents of rarity and denſity; therefore
                <lb/>
                <arrow.to.target n="marg91"/>
                <lb/>
              rarity and denſity ſhall be contraries: the which conditions or
                <lb/>
              affections are ſo amply found in Cœleſtial bodies, that you
                <lb/>
              ſteem the ſtars to be onely more denſe parts of their Heaven:
                <lb/>
              and if this be ſo, it followeth that the denſity of the ſtars exceeds
                <lb/>
              that of the reſt of Heaven, by almoſt infinite degrees:
                <lb/>
              which is manifeſt, in that Heaven is infinitely tranſparent, and
                <lb/>
              the ſtars extremely opacous; and for that there are there above
                <lb/>
              no other qualities, but more and leſs denſity and rarity, which
                <lb/>
              may be cauſes of the greater or leſs tranſparency. </s>
              <s>There being
                <lb/>
              then ſuch contrariety between the Cœleftial bodies, it is neceſſary
                <lb/>
              that they alſo be generable and corruptible, in the ſame manner
                <lb/>
              as the Elementary bodies are; or elſe that contrariety is not the
                <lb/>
                <arrow.to.target n="marg92"/>
                <lb/>
              cauſe of corruptibility,
                <emph type="italics"/>
              &c.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg90"/>
                <emph type="italics"/>
              Gravity & levity,
                <lb/>
              varity and denſity,
                <lb/>
              are contrary
                <lb/>
              lities.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg91"/>
                <emph type="italics"/>
              The ſtars infinitely
                <lb/>
              ſurpaſs the
                <lb/>
              ſtance of the reſt of
                <lb/>
              Heaven in denſity.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg92"/>
                <emph type="italics"/>
              Rarity & denſity
                <lb/>
              in Cœleſtial bodies,
                <lb/>
              is different from
                <lb/>
              the rarity &
                <lb/>
              ſity of the elements.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>SIMPL. </s>
              <s>There is no neceſſity either of one or the other, for
                <lb/>
              that denſity and rarity in Cœleſtial bodies, are not contraries to </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum