Baliani, Giovanni Battista, De motv natvrali gravivm solidorvm et liqvidorvm

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    <archimedes>
      <text>
        <body>
          <chap type="bk">
            <pb xlink:href="064/01/075.jpg"/>
            <subchap1 n="11" type="proposition">
              <p type="head">
                <s id="s.000541">PROPOSITIO XI. PROBL. IV.</s>
              </p>
              <subchap2 n="11" type="statement">
                <p type="main">
                  <s id="s.000542">Datis pluribus lineis æqualibus ab eodem
                    <lb/>
                  puncto superno descendentibus, etiam si
                    <lb/>
                  una sit perpendicularis, reperire impetus
                    <lb/>
                  in fine ipsarum inter se.</s>
                </p>
              </subchap2>
              <figure id="id.064.01.075.1.jpg" xlink:href="064/01/075/1.jpg" number="44"/>
              <subchap2 n="11" type="proof">
                <p type="main">
                  <s id="s.000543">Datis aequalibus AB, AC, AD, inclinatis,
                    <lb/>
                  & AE perpendiculari oportet venari im­
                    <lb/>
                  petus inter se in B, C, D, E.</s>
                </p>
                <p type="main">
                  <s id="s.000544">Ducantur BF, CG, DH normales ad AE,
                    <arrow.to.target n="marg142"/>
                  &
                    <lb/>
                  proinde orizontales, & fiat AI media inter
                    <lb/>
                  AF, AG, & fiat AK media inter AF, AH,
                    <lb/>
                  item fiat AL media inter AF, AE.</s>
                </p>
                <p type="margin">
                  <s id="s.000545">
                    <margin.target id="marg142"/>
                  Per 10. definit. quinti.</s>
                </p>
                <p type="main">
                  <s id="s.000546">Dico impetus in B, C, D, E esse inter se ut AF,
                    <lb/>
                  AI, AK, AL.</s>
                </p>
                <p type="main">
                  <s id="s.000547">Quoniam impetus in B, & F sunt aequales nec
                    <lb/>
                  non in CL, & in DH
                    <arrow.to.target n="marg143"/>
                  , & impetus in F, G,
                    <lb/>
                  H, E sunt ut AF, AI, AK, AL
                    <arrow.to.target n="marg144"/>
                  ,</s>
                </p>
                <p type="margin">
                  <s id="s.000548">
                    <margin.target id="marg143"/>
                  Per 16. Quinti.</s>
                </p>
                <p type="margin">
                  <s id="s.000549">
                    <margin.target id="marg144"/>
                  Per 9. huius.</s>
                </p>
                <p type="main">
                  <s id="s.000550">Igitur impetus in B, C, D, E, sunt ut AF, AI,
                    <lb/>
                  AK, AL, Quod etc.</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>