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

Page concordance

< >
Scan Original
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000753">
                <pb pagenum="150" xlink:href="010/01/158.jpg"/>
                <arrow.to.target n="marg189"/>
                <lb/>
              conſtringatur anguſteturque, & proinde incumbens
                <lb/>
              aqua velociori motu, & ideò impetu, & vi maiori
                <lb/>
              fluere cogatur per anguſtias C, quàm per amplum̨
                <lb/>
              alueum
                <expan abbr="BFQ">BFQ</expan>
              quare oportet vt vehementiùs, & ma­
                <lb/>
              iori impetu, & vi pars olei versùs C deorsùm com­
                <lb/>
              primatur, contundaturque quàm reliquæ partes olei
                <lb/>
              propinquiores vertici eius B, è contra aqua ſubiecta
                <lb/>
              CKIG reflectitur ſursùm, impellit, atque contundit
                <lb/>
              infimam baſim olei GC ea vi, & impetu quo collate­
                <lb/>
              ralis aqua FCPQ exceſſu ſuæ grauitatis ſuperat ſpe­
                <lb/>
              cificam olei ponderoſitatem. </s>
              <s id="s.000754">Patet ergo quod à dua­
                <lb/>
              bus viribus
                <expan abbr="cõtrarijs">contrarijs</expan>
              , veluti prælo, comprimitur
                <expan abbr="oleũ">oleum</expan>
                <lb/>
              BCG ſupernè ab impetu aquæ obliquè deſcenden­
                <lb/>
              tis per BC, & infernè à vi aquæ reflexæ oleum
                <expan abbr="ſursũ">ſursum</expan>
                <lb/>
              impellentis, cùmque vis, & compreſſio, quæ ſupernè
                <lb/>
              infertur, inæqualis ſit, vehementiori, & validiori vi
                <lb/>
              facta propè terminum C, & debiliori, verſus
                <expan abbr="verticẽ">verticem</expan>
                <lb/>
              B, impulſus verò ſubiectæ aquæ IKCG licèt vnifor­
                <lb/>
              mis ſit vbique, nihilominùs propter minorem
                <expan abbr="deſcẽ-dentis">deſcen­
                  <lb/>
                dentis</expan>
              aquæ obſiſtentiam in B, quàm versùs C ſit
                <lb/>
              vt vehementiùs oleum impellatur contundaturque à
                <lb/>
              ſubiecta aqua reflexa versùs axem IG vbi niſum
                <expan abbr="cõ-trarium">con­
                  <lb/>
                trarium</expan>
                <expan abbr="debiliorẽ">debiliorem</expan>
              offendit quàm versùs latera A, &
                <lb/>
              C, & propterea ſuperficies ſubiecta olei AGC exca­
                <lb/>
              uata erit ad modum ſcutellæ, & hoc quidem neceſ­
                <lb/>
              ſariò efficietur non à vi intrinſeca, & naturali leuita­
                <lb/>
              tis ipſius olei, ſed à ſuppoſita energia grauitatis
                <lb/>
              fluidi ambientis, quod fuerat demonſtrandum. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum