DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N13F6F">
            <pb xlink:href="036/01/166.jpg"/>
            <p id="id.2.1.161.5.0.0.0" type="main">
              <s id="id.2.1.161.5.1.1.0">Iiſdem poſitis ſit aliud pondus P
                <lb/>
              æquale ponderi A, cui alligatus ſit
                <lb/>
              funis TQ
                <expan abbr="horizõti">horizonti</expan>
                <expan abbr="perpẽdicularis">perpendicularis</expan>
              ;
                <lb/>
              et ſit TQ ipſi HB æqualis; moueat
                <lb/>
              〈qué〉
                <expan abbr="potẽtia">potentia</expan>
              in Q
                <expan abbr="põdus">pondus</expan>
              P ſurſum
                <lb/>
              ad rectos angulos horizonti, quem
                <lb/>
              admodum mouetur pondus A. </s>
              <s id="id.2.1.161.5.1.1.0.a">di
                <lb/>
              co per æquale ſpatium in eodem
                <lb/>
              tempore potentiam in Q pondus
                <lb/>
              P, & potentiam in F pondus A
                <lb/>
              mouere. </s>
              <s id="id.2.1.161.5.1.2.0">quod idem eſt, ac ſi eſſet
                <lb/>
              idem pondus in æquali tempore
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              motum; ſicut propoſuimus. </s>
              <s id="id.2.1.161.5.1.3.0">Pro­
                <lb/>
              ducatur EF in S, & TQ in R;
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              fiantq; QR FS non ſolum inter
                <lb/>
              ſe ſe, verùm etiam ipſi BH æqua
                <lb/>
              les. </s>
              <s id="id.2.1.161.5.1.4.0">Cùm autem TQ QR ſint
                <lb/>
              ipſis HB FS æquales, & vis in Q
                <lb/>
              moueat pondus P per rectam T
                <lb/>
              QR; vis autem in F moueat A
                <lb/>
              per rectam HB, & velocitates
                <lb/>
                <figure id="id.036.01.166.1.jpg" place="text" xlink:href="036/01/166/1.jpg" number="158"/>
                <lb/>
              motuum vtriuſq; potentiæ ſint æquales; tunc in eodem tempore
                <lb/>
              potentia in Q erit in R, & potentia in F erit in S; cùm ſpatia ſint
                <lb/>
              æqualia. </s>
              <s id="id.2.1.161.5.1.5.0">ſed dum potentia in Q eſt in R, pondus P, hoc eſt
                <lb/>
              punctum T erit in Q; cùm TQ ſit ipſi QR æqualis. </s>
              <s id="id.2.1.161.5.1.6.0">& dum po
                <lb/>
              tentia in F eſt in S, pondus A, hoc eſt punctum H erit in B; ſed
                <lb/>
              ſpatium TQ æquale eſt ſpatio HB, potentiæ ergo in FQ æquali
                <lb/>
              ter motæ pondera PA æqualia per æqualia ſpatia in eodem tempo
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              re mouebunt. </s>
              <s id="id.2.1.161.5.1.7.0">quod erat demonſtrandum </s>
            </p>
            <p id="id.2.1.161.6.0.0.0" type="head">
              <s id="id.2.1.161.6.1.1.0">PROPOSITIO XI. </s>
            </p>
            <p id="id.2.1.161.7.0.0.0" type="main">
              <s id="id.2.1.161.7.1.1.0">Si funis orbiculo trochleæ ponderi alligatæ
                <lb/>
              fuerit circumuolutus, qui in altero eius extre­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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