Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

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 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000082">
                <pb pagenum="14" xlink:href="010/01/022.jpg"/>
                <arrow.to.target n="marg14"/>
                <lb/>
              eſt cylindri IG, intelligatur aqua primò eleuari iņ
                <lb/>
              ſitu T & deprimi in dextro canali in G, & hinc eleua­
                <lb/>
              ta aqua ad I deſcendat à T ad X coniungantur quę
                <lb/>
              duæ rectæ lineæ AG, & BH ſe ſecantes in M, eritque
                <lb/>
              punctum Min horizontali EL conſtitutum, propterea
                <lb/>
              quod duo cylindri aquæ AB, & HG æquales ſunt in­
                <lb/>
              ter ſe, cum ſemiſſes ſint cylindrorum æqualium TX &
                <lb/>
              IG, ergo altitudo AB ad HG eſt vt eiuſdem cylindri
                <lb/>
              baſis H ad baſim A: eadem ratione AE ad LG erit vt
                <lb/>
              baſis H ad
                <expan abbr="basĩ">basim</expan>
              A quare altitudo AE ad LG erit vt AB
                <lb/>
              ad HG,
                <expan abbr="sũq;">sunque</expan>
              duæ rectæ lineæ AE & GL
                <expan abbr="perpẽdicula">perpendicula</expan>
                <lb/>
              res ad
                <expan abbr="horizontalẽ">horizontalem</expan>
              FG, vel EL, & ideò inter ſe paral­
                <lb/>
              lelæ, ergo ob ſimilitudinem triangulorum vt AM ad
                <lb/>
              MG ita erit BM ad MH, nec non EM ad ML, & ideo
                <lb/>
              rectæ AG, BH, & EL ſe mutuo ſecabunt in eodem̨
                <lb/>
              puncto M. poſtea vt moles aquæ XBF vnà cum GHI
                <lb/>
              ad molem aquæ IHG ita fiat diſtantia HB ad BQ, &
                <lb/>
              diuidendo, vt moles aquæ XBF ad GHI ita erit di­
                <lb/>
              ſtantia HQ ad QB, ideoque ex elementis mechanicis
                <lb/>
              punctum Q erit centrum grauitatis aquæ XBF vnà
                <lb/>
              cum GHI. quando verò aqua erat in ſummitate T &
                <lb/>
              canalis GLV omninò exhauſtus erat, tunc quidem̨
                <lb/>
              centrum grauitatis totius aquæ TAF perſiſtens iņ
                <lb/>
              puncto A medio eiuſdem canalis perindè operare­
                <lb/>
              tur ac ſi ſuſpenſus fuiſſet cylindrus èx puncto A: de­
                <lb/>
              preſſa poſtmodum aqua vſque ad Y & eleuata vſque
                <lb/>
              ad L in oppoſito canali, denuo centrum grauitatis re­
                <lb/>
              pertum prædictæ aquæ exiſtet in puncto R & tandem
                <lb/>
              depreſſa aqua vſque ad A in primo caſu & vſque ad </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum