Castelli, Benedetto, Of the mensuration of running waters, 1661

Page concordance

< >
Scan Original
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
< >
page |< < of 137 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="068/01/025.jpg" pagenum="11"/>
              its Waters in its own Chanel, without diſcharging them into
                <emph type="italics"/>
              Ty­
                <lb/>
              ber,
                <emph.end type="italics"/>
              or elſe would have ingorged and ſwallowed (if I may ſo ſay)
                <lb/>
              ſome of the water of
                <emph type="italics"/>
              Tyber
                <emph.end type="italics"/>
              ; and in this caſe, at the time of In­
                <lb/>
              undation, leſſe abundance of water would have come to
                <emph type="italics"/>
              Rome,
                <emph.end type="italics"/>
                <lb/>
              and yet nevertheleſſe the meaſure of that River would have been
                <lb/>
              increaſed.</s>
            </p>
            <p type="main">
              <s>Fifthly,
                <emph type="italics"/>
              Fontana
                <emph.end type="italics"/>
              deceiveth himſelf, when he concludeth, that
                <lb/>
              to remove the Inundation from
                <emph type="italics"/>
              Rome,
                <emph.end type="italics"/>
              it would be neceſſary to
                <lb/>
              make two other Chanels of Rivers, that were as large as that,
                <lb/>
              which is the preſent one, and that leſs would not ſuffice, which,
                <lb/>
              I ſay, is a fallacy: and to convince him eaſily of his errour, it
                <lb/>
              ſufficeth to ſay, that all the Streams being paſſed under the Bridge
                <lb/>
                <emph type="italics"/>
              Quattro-Capi,
                <emph.end type="italics"/>
              as he himſelf atteſts, a Channel would ſuffice on­
                <lb/>
              ly of the capacity of the ſaid Bridge, provided that the water
                <lb/>
              there might run with the ſame velocity, as it did under the Bridge
                <lb/>
              at the time of Inundation; and on the contrary, twenty Cur­
                <lb/>
              rents of capacity equal to the preſent one, would not ſuffice, if
                <lb/>
              the water ſhould run with twenty times leſs velocity, than it made
                <lb/>
              at the time of the Inundation.</s>
            </p>
            <p type="main">
              <s>Sixthly, to me it ſeemeth a great weakneſſe to ſay, that there
                <lb/>
              ſhould paſſe under the Bridge
                <emph type="italics"/>
              Quattro-Capi,
                <emph.end type="italics"/>
              an hundred fifty one
                <lb/>
              ells of water compreſſed; for that I do not underſtand that wa­
                <lb/>
              ter is like Cotton or Wool, which matters may be preſt and trod,
                <lb/>
              as it happeneth alſo to the air, which receiveth compreſſion in
                <lb/>
              ſuch ſort, that after that in ſome certain place a quantity of air
                <lb/>
              ſhall be reduced to its natural conſtitution; and having taken up
                <lb/>
              all the ſaid place, yet nevertheleſſe compreſſing the firſt Air
                <lb/>
              with force and violence, it is reduced into far leſs room, and will
                <lb/>
              admit four or ſix times as much air, as before, as is experimen­
                <lb/>
              tally ^{*} ſeen in the Wind-Gun, invented in our dayes by
                <emph type="italics"/>
              M. Vin,
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="marg964"/>
                <lb/>
                <emph type="italics"/>
              cenzo Vincenti
                <emph.end type="italics"/>
              of
                <emph type="italics"/>
              Vrbin,
                <emph.end type="italics"/>
              which property of the Air of admit­
                <lb/>
              ting condenſation, is alſo ſeen in the portable Fountains of the
                <lb/>
              ſame
                <emph type="italics"/>
              M. Vincenzo:
                <emph.end type="italics"/>
              which Fountains ſpirt the Water on high,
                <lb/>
              by force of the Air compreſſed, which whilſt it ſeeks to reduce
                <lb/>
              its ſelf to its natural conſtitution, in the dilation cauſeth that vi­
                <lb/>
              olence. </s>
              <s>But the water can never, for any thing I know, crowd,
                <lb/>
              or preſs ſo, as that if before the compreſſion it held or poſſeſt a
                <lb/>
              place, being in its natural conſtitution, I believe not, I ſay, that it
                <lb/>
              is poſſible, by preſſing and crowding to make it poſſeſs leſs room,
                <lb/>
              for if it were poſſible to compreſs the Water, and make it to oc­
                <lb/>
              cupy a leſs place, it would thence follow, that two Veſſels of e­
                <lb/>
              qual meaſure, but of unequal height, ſhould be of unequal capa­
                <lb/>
              city, and that ſhould hold more water which was higher; alſo a
                <lb/>
              Cylinder, or other Veſſel more high than broad, would containe
                <lb/>
              more water erected, than being laid along; for that being erect­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum