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

Page concordance

< >
Scan Original
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
< >
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