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

Page concordance

< >
Scan Original
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
< >
page |< < of 77 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb pagenum="418"/>
              hundred times as long as the other. </s>
              <s>Let the erroneous opinion o
                <lb/>
                <arrow.to.target n="marg1420"/>
                <lb/>
              thoſe therefore ceaſe, who hold that a Ship is better, and eaſter born
                <lb/>
              up in a great abundance of water, then in a leſſer quantity, (
                <emph type="italics"/>
              this was
                <lb/>
              believed by
                <emph.end type="italics"/>
              Ariſtotle
                <emph type="italics"/>
              in his Problems, Sect. </s>
              <s>23, Probl.
                <emph.end type="italics"/>
              2.) it being or
                <lb/>
              the contrary true, that its poſſible, that a Ship may as well float in
                <lb/>
              ten Tun of water, as in an
                <lb/>
                <arrow.to.target n="marg1421"/>
              </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1420"/>
              A ſhip flotes as
                <lb/>
              well in ten Tun
                <lb/>
              of water as in an
                <lb/>
              Ocean.</s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="marg1421"/>
              A Solid
                <lb/>
              fiaclly graver
                <lb/>
              than the water,
                <lb/>
              cannot be born
                <lb/>
              up by any
                <lb/>
              tity of it.</s>
            </p>
            <p type="main">
              <s>But following our matter, I ſay, that by what hath been hitherto
                <lb/>
              demonſtrated, we may underſtand how, that</s>
            </p>
            <p type="head">
              <s>COROLLARY III.</s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              One of the above named Solids, when more grave
                <emph.end type="italics"/>
              in ſpecie
                <emph type="italics"/>
              than the water,
                <lb/>
              can never be ſuſtained, by any whatever quantity of it.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>For having ſeen how that the Moment wherewith ſuch a Solid
                <lb/>
              as grave
                <emph type="italics"/>
              in ſpecie
                <emph.end type="italics"/>
              as the water, contraſts with the Moment of any Maſs
                <lb/>
              of water whatſoever, is able to retain it, even to its totall Submerſion:
                <lb/>
              without its ever aſcending; it remaineth, manifeſt, that the water is
                <lb/>
              far leſs able to raiſe it up, when it exceeds the ſame
                <emph type="italics"/>
              in ſpecie
                <emph.end type="italics"/>
              :
                <lb/>
              that though you infuſe water till its totall Submerſion, it ſhall ſtill
                <lb/>
              ſtay at the Bottome, and with ſuch Gravity, and Reſiſtance to
                <lb/>
              tion, as is the exceſs of its Abſolute Gravity, above the Abſolute
                <lb/>
              vity of a Maſs equall to it, made of water, or of a Matter
                <emph type="italics"/>
              in ſpecie
                <emph.end type="italics"/>
                <lb/>
              equally grave with the water: and, though you ſhould moreover
                <lb/>
              adde never ſo much water above the Levell of that which equalizeth
                <lb/>
              the Altitude of the Solid, it ſhall not, for all that, encreaſe the Preſſion
                <lb/>
              or Gravitation, of the parts circumfuſed about the ſaid Solid, by
                <lb/>
              which greater preſſion, it might come to be repulſed, becauſe, the
                <lb/>
              Reſiſtance is not made, but only by thoſe parts of the water, which
                <lb/>
              at the Motion of the ſaid Solid do alſo move, and theſe are thoſe
                <lb/>
              only, which are comprehended by the two Superficies equidiſtant to
                <lb/>
              the Horizon, and their parallels, that comprehend the Altitude of the
                <lb/>
              Solid immerged in the water.</s>
            </p>
            <p type="main">
              <s>I conceive, I have by this time ſufficiently declared and opened
                <lb/>
              the way to the contemplation of the true, intrinſecall and proper
                <lb/>
              Cauſes of diverſe Motions, and of the Reſt of many Solid Bodies
                <lb/>
              diverſe
                <emph type="italics"/>
              Mediums,
                <emph.end type="italics"/>
              and particularly in the water, ſhewing how all
                <lb/>
              effect, depend on the mutuall exceſſes of the Gravity of the
                <lb/>
              bles and of the
                <emph type="italics"/>
              Mediums
                <emph.end type="italics"/>
              : and, that which did highly import,
                <lb/>
              moving the Objection, which peradventure would have begotter
                <lb/>
              much doubting, and ſcruple in ſome, about the verity of my
                <lb/>
              cluſion, namely, how that notwithſtanding, that the exceſs of the
                <lb/>
              Gravity of the water, above the Gravity of the Solid, demitted into
                <lb/>
              it, be the cauſe of its floating and riſing from the Bottom to the
                <lb/>
              face, yet a quantity of water, that weighs not ten pounds, can raiſe </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>