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

List of thumbnails

< >
11
11 		12
12
13
13 		14
14
15
15 		16
16
17
17 		18
18
19
19 		20
20
< >
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