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.000144">
                <pb pagenum="30" xlink:href="010/01/038.jpg"/>
                <arrow.to.target n="marg30"/>
                <lb/>
              ma aqueum imminuitur, pondus eius quòd prius ſu­
                <lb/>
              perabat grauitatem ligni BD, tandem poſt
                <expan abbr="continuã">continuam</expan>
                <lb/>
              ponderis aquæ
                <expan abbr="diminutionẽ">diminutionem</expan>
              reddetur præcisè æqua­
                <lb/>
              le ponderi cylindri lignei BD, & tunc coniunctis
                <lb/>
              centris grauitatum eorum à rectą
                <lb/>
                <figure id="id.010.01.038.1.jpg" xlink:href="010/01/038/1.jpg" number="16"/>
                <lb/>
              PO hæc quidem bifariàm ſecabi­
                <lb/>
              tur in termino Q &
                <expan abbr="ibidẽ">ibidem</expan>
              erit eius
                <lb/>
              centrum, atque fulcimentum ha­
                <lb/>
              bebitque pondus ligni BD ad
                <expan abbr="põ-dus">pon­
                  <lb/>
                dus</expan>
              aquæ GD ſibi æquale
                <expan abbr="eamdẽ">eamdem</expan>
                <lb/>
              proportionem, quam habet reciprocè PQ ad QO, &
                <lb/>
              proindè centrum grauitatis commune Y incidet præ­
                <lb/>
              cisè in centro ſeù fulcimento libræ
                <expan abbr="q.">que</expan>
              igitur æquili­
                <lb/>
              bratis prædictis ponderibus libra quieſcet, nec priſ­
                <lb/>
              ma ligneum BD vlteriùs
                <expan abbr="aſcẽdet">aſcendet</expan>
              ,
                <expan abbr="neq;">neque</expan>
              denuò
                <expan abbr="deorsũ">deorsum</expan>
                <lb/>
              decidet niſi ex accidenti ratione impetus acquiſiti. </s>
            </p>
            <p type="margin">
              <s id="s.000145">
                <margin.target id="marg30"/>
              Cap. 2. de
                <lb/>
              momentis
                <lb/>
              grauium in
                <lb/>
              fluido inna­
                <lb/>
              tantium.</s>
            </p>
            <p type="main">
              <s id="s.000146">Hinc patet quòd quando primò lignum BD exur­
                <lb/>
              gere incipit ſupra aquæ libellam RX tunc continen­
                <lb/>
              ter magis ac magis centrum communis grauitatis Y
                <lb/>
              motu obliquo, & curuo
                <expan abbr="aſcẽdit">aſcendit</expan>
              quòuſque coniunga­
                <lb/>
              tur cum fulcimento Q libræ PO ſursùm tranſlatę,
                <lb/>
              non ſecùs, ac in ſiphone aqua eleuata in vno eius bra­
                <lb/>
              chio deſcendendo perducit centrum grauitatis eius
                <lb/>
              per curuam lineam parabolicam, vt dictum eſt; con­
                <lb/>
              cipi ergo debet ſipho inæqualium brachiorum
                <expan abbr="quãdo">quando</expan>
                <lb/>
              primum baſis ſuprema AB ligni attingit aquæ libel­
                <lb/>
              lam, & quia tunc exceſſus grauitatis ſpecificæ aquæ
                <lb/>
              AH ſupra pondus ligni BD perindè agit ac ſi aliud
                <lb/>
              fluidum æquè graue ſpecie ligno ipſi BD & maioris </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum