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

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