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

Page concordance

< >
Scan Original
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
< >
page |< < of 77 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb pagenum="441"/>
              tion is not inferiour; whereupon, we muſt of neceſſity conclude
                <lb/>
              that it is nothing: becanſe, if it were of any ſenſible power, ſome
                <lb/>
              large Plate might be found or compounded of a Matter alike in
                <lb/>
              vity to the water, which not only would ſtay between the two
                <lb/>
              ters; but, moreover, ſhould not be able to deſcend or aſcend
                <lb/>
              out notable force. </s>
              <s>We may likewiſe collect the ſame from an
                <lb/>
                <arrow.to.target n="marg1491"/>
                <lb/>
              ther Experiment, ſhewing that the Water gives way alſo in the ſame
                <lb/>
              manner to tranſverſall Diviſion; for if in a ſetled and ſtanding water
                <lb/>
              we ſhould place any great Maſs that goeth not to the bottom,
                <lb/>
              ing it with a ſingle (Womans) Hair, we might carry it from place to
                <lb/>
              place without any oppoſition, and this whatever Figure it hath,
                <lb/>
              though that it poſſeſs a great ſpace of water, as for inſtance, a great
                <lb/>
              Beam would do moved ſide-ways. </s>
              <s>Perhaps ſome might oppoſe me
                <lb/>
              and ſay, that if the Reſiſtance of water againſt Diviſion, as I affirm,
                <lb/>
              were nothing; Ships ſhould not need ſuch a force of Oars and Sayles
                <lb/>
              for the moving of them from place to place in a tranquile Sea, or
                <lb/>
              ſtanding Lake. </s>
              <s>To him that ſhould make ſuch an objection, I would
                <lb/>
                <arrow.to.target n="marg1492"/>
                <lb/>
              reply, that the water contraſteth not againſt, nor ſimply reſiſteth
                <lb/>
              Diviſion, but a ſudden Diviſion, and with ſo much greater
                <lb/>
              tence, by how much greater the Velocity is: and the Cauſe of this
                <lb/>
              Reſiſtance depends not on Craſſitude, or any other thing that
                <lb/>
              lutely oppoſeth Diviſion, but becauſe that the parts of the water
                <lb/>
              divided, in giving way to that Solid that is moved in it, are
                <lb/>
              ſelves alſo neceſſitated locally to move, ſome to the one ſide, and ſome
                <lb/>
              to the other, and ſome downwards: and this muſt no leſs be done
                <lb/>
              by the waves before the Ship, or other Body ſwimming through the
                <lb/>
              water, than by the poſteriour and ſubſequent; becauſe, the Ship
                <lb/>
              proceeding forwards, to make it ſelf a way to receive its Bulk, it is
                <lb/>
              requiſite, that with the Prow it repulſe the adjacent parts of the
                <lb/>
              water, as well on one hand as on the other, and that it move them
                <lb/>
              as much tranſverſly, as is the half of the breadth of the Hull: and
                <lb/>
              the like removall muſt thoſe waves make, that ſucceeding the Poump
                <lb/>
              do run from the remoter parts of the Ship towards thoſe of the
                <lb/>
              middle, ſucceſſively to repleniſh the places, which the Ship in
                <lb/>
              vancing forwards, goeth, leaving vacant. </s>
              <s>Now, becauſe, all
                <lb/>
                <arrow.to.target n="marg1493"/>
                <lb/>
              tions are made in Time, and the longer in greater time: and it being
                <lb/>
              moreover true, that thoſe Bodies that in a certain time are moved
                <lb/>
              by a certain power ſuch a certain ſpace, ſhall not be moved the ſame
                <lb/>
              ſpace, and in a ſhorter Time, unleſs by a greater Power: therefore,
                <lb/>
              the broader Ships move ſlower than the narrower, being put on by
                <lb/>
              an equall Force: and the ſame Veſſel requires ſo much greater
                <lb/>
              force of Wind, or Oars, the faſter it is to move.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>