Galilei, Galileo, Discourse concerning the natation of bodies, 1663

Page concordance

< >
Scan Original
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
< >
page |< < of 77 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="margin">
              <pb pagenum="404"/>
              <s>
                <margin.target id="marg1400"/>
              In lib: 1. of
                <lb/>
              tation of Bodies
                <lb/>
              Prop. </s>
              <s>7.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1401"/>
              Figure operates
                <lb/>
              not in the
                <lb/>
              tion of Sollids.</s>
            </p>
            <p type="main">
              <s>It was anſwered me, that that proceeded not from the greater Levity;
                <lb/>
                <arrow.to.target n="marg1401"/>
                <lb/>
              but from the Figure, large and flat, which not being able to
                <lb/>
              trate the Reſiſtance of the Water, is the cauſe that it ſubmergeth not.
                <lb/>
              </s>
              <s>I replied, that any piece of Ice, of whatſoever Figure, ſwims upon
                <lb/>
              the Water, a manifeſt ſigne, that its being never ſo flat and broad,
                <lb/>
              hath not any part in its floating: and added, that it was a manifeſt
                <lb/>
              proofe hereof to ſee a piece of Ice of very broad Figure being thruſt
                <lb/>
              to the botome of the Water, ſuddenly return to flote atoppe, which
                <lb/>
              had it been more grave, and had its ſwimming proceeded from its
                <lb/>
              Forme, unable to penetrate the Reſiſtance of the
                <emph type="italics"/>
              Medium,
                <emph.end type="italics"/>
              that
                <lb/>
              would be altogether impoſſible; I concluded therefore, that the Figure
                <lb/>
              was in ſort a Cauſe of the Natation or Submerſion of Bodies,
                <lb/>
              but the greater or leſſe Gravity in reſpect of the Water: and
                <lb/>
              fore all Bodyes heavier than it of what Figure ſoever they be,
                <lb/>
              rently go to the bottome, and the lighter, though of any figure, float
                <lb/>
              indifferently on the top: and I ſuppoſe that thoſe which hold
                <lb/>
              wiſe, were induced to that beliefe, by ſeeing how that diverſity
                <lb/>
              of Formes or Figures, greatly altereth the Veloſity, and Tardity
                <lb/>
              of Motion; ſo that Bodies of Figure broad and thin, deſcend
                <lb/>
              far more leaſurely into the Water, than thoſe of a more compacted
                <lb/>
              Figure, though both made of the ſame Matter: by which ſome
                <lb/>
              might be induced to believe that the Dilatation of the Figure might
                <lb/>
              reduce it to ſuch ampleneſſe that it ſhould not only retard but wholly
                <lb/>
              impede and take away the Motion, which I hold to be falſe. </s>
              <s>Upon
                <lb/>
              this Concluſion, in many dayes diſcourſe, was ſpoken much, and
                <lb/>
              many things, and divers Experiments produced, of which your
                <lb/>
              Highneſſe heard, and ſaw ſome, and in this diſcourſe ſhall have
                <lb/>
              all that which hath been produced againſt my Aſſertion, and what
                <lb/>
              hath been ſuggeſted to my thoughts on this matter, and for
                <lb/>
              firmation of my Concluſion: which if it ſhall ſuffice to remove that
                <lb/>
              (as I eſteem hitherto falſe) Opinion, I ſhall thinke I have not
                <lb/>
              unprofitably ſpent my paynes and time. </s>
              <s>and although that come
                <lb/>
              not to paſſe, yet ought I to promiſe another benefit to my ſelfe,
                <lb/>
              namely, of attaining the knowledge of the truth, by hearing my
                <lb/>
              Fallacyes confuted, and true demonſtrations produced by thoſe
                <lb/>
              of the contrary opinion.</s>
            </p>
            <p type="main">
              <s>And to proceed with the greateſt plainneſs and perſpicuity that
                <lb/>
              I can poſſible, it is, I conceive, neceſſary, firſt of all to declare
                <lb/>
              what is the true, intrinſecall, and totall Cauſe, of the aſcending of
                <lb/>
              ſome Sollid Bodyes in the Water, and therein floating; or on the
                <lb/>
              contrary, of their ſinking. </s>
              <s>and ſo much the rather in aſmuch as I
                <lb/>
              cannot ſatisfie my ſelfe in that which
                <emph type="italics"/>
              Ariſtotle
                <emph.end type="italics"/>
              hath left written on
                <lb/>
              this Subject.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1402"/>
              The cauſe of the
                <lb/>
              Natation & ſub­</s>
            </p>
            <p type="main">
              <s>I ſay then the Cauſe why ſome Sollid Bodyes deſcend to
                <lb/>
                <arrow.to.target n="marg1402"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum