DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N13F6F">
            <pb n="82" xlink:href="036/01/177.jpg"/>
            <p id="id.2.1.165.13.0.0.0" type="main">
              <s id="id.2.1.165.13.1.1.0">Sit pondus A, ſint duo orbiculi,
                <expan abbr="quorũ">quorum</expan>
                <expan abbr="cẽ­tra;">cen­
                  <lb/>
                tra</expan>
              k I trochleæ ponderi alligatæ k
                <foreign lang="grc">α</foreign>
              ; ita vt
                <lb/>
              pondus motum trochleæ ſurſum, & deorſum
                <lb/>
              ſemper ſequatur: ſit deinde orbiculus, cuius cen
                <lb/>
              trum L, trochleæ ſurſum appenſæ in
                <foreign lang="el">d</foreign>
              ; ſitq;
                <lb/>
              funis circa omnes orbiculos circumuolutus BC
                <lb/>
              DEFGHZMNO, religatuſq; in B; ſitq; po
                <lb/>
              tentia in O mouens pondus A. </s>
              <s id="id.2.1.165.13.1.1.0.a">dico ſpatium,
                <lb/>
              quod mouendo pertranſit potentia in O, qua­
                <lb/>
              druplum eſſe ſpatii moti ponderis A. </s>
              <s id="id.2.1.165.13.1.1.0.b">mouean
                <lb/>
              tur orbiculi trochleæ ponderi alligatæ; & dum
                <lb/>
              centrum k eſt in R, centrum I ſit in S, & pon
                <lb/>
              dus A, hoc eſt punctum
                <foreign lang="grc">α</foreign>
              in
                <foreign lang="grc">β</foreign>
              : erunt IS kR
                <lb/>
                <foreign lang="grc">αβ</foreign>
              inter ſe ſe æquales, itemq; k I ipſi RS e­
                <lb/>
              rit æqualis. </s>
              <s id="id.2.1.165.13.1.2.0">orbiculi enim inter ſe ſe eandem
                <lb/>
              ſemper ſeruant diſtantiam; & k
                <foreign lang="grc">α</foreign>
              ipſi R
                <foreign lang="grc">β</foreign>
              æ­
                <lb/>
              qualis erit. </s>
              <s id="id.2.1.165.13.1.3.0">ducantur per orbiculorum centra
                <lb/>
              lineæ FH QT EC VX NZ horizonti æqui
                <lb/>
              diſtantes, quæ tangent funes in FHQTEC
                <lb/>
              VX NZ punctis, & inter ſe ſe quoq; æquidi
                <lb/>
              ſtantes erunt: & EQ CT VN XZ non ſo
                <lb/>
              lum inter ſe ſe, ſed etiam ipſis IS KR
                <foreign lang="grc">αβ</foreign>
              æqua
                <lb/>
              les erunt. </s>
              <s id="id.2.1.165.13.1.4.0">& dum centra kI ſunt in RS, po
                <lb/>
              tentia in O ſit mota in P. </s>
              <s id="id.2.1.165.13.1.4.0.a">& quoniam funis
                <lb/>
              BCDEFGHZMNO eſt æqualis funi BT9
                <lb/>
              QFGHXYVP, eſt enim
                <expan abbr="idẽ">idem</expan>
              funis, & funes cir
                <lb/>
                <figure id="id.036.01.177.1.jpg" place="text" xlink:href="036/01/177/1.jpg" number="165"/>
                <lb/>
              ca T9Q XYV ſemicirculos ſunt æquales funibus, qui ſunt circa
                <lb/>
              CDE ZMN; Demptis igitur communibus BT, QF GHX,
                <lb/>
              & VO; erit OP æqualis ipſis VN XZ CT QE ſimul ſumptis. </s>
              <s id="id.2.1.165.13.1.5.0">
                <lb/>
              quatuor verò VN ZX CT QE ſunt inter ſe ſe æquales, & ſimul
                <lb/>
              quadruplæ kR, &
                <foreign lang="grc">αβ</foreign>
              ; quare OP quadrupla erit ipſius
                <foreign lang="grc">αβ</foreign>
              . </s>
              <s id="id.2.1.165.13.1.6.0">ſpa
                <lb/>
              tium igitur potentiæ quadruplum eſt ſpatii ponderis. </s>
              <s id="id.2.1.165.13.1.7.0">quod erat
                <lb/>
              oſtendendum. </s>
            </p>
            <p id="id.2.1.165.14.0.0.0" type="main">
              <s id="id.2.1.165.14.1.1.0">Et ſi funis in P circa alium adhuc reuoluatur orbiculum verſus
                <lb/>
                <foreign lang="el">d</foreign>
              , potentia〈qué〉 mouendo ſe deorſum moueat ſurſum pondus; ſimi
                <lb/>
              liter oſtendetur ſpatium potentiæ quadruplum eſſe ſpatii ponderis. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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