DelMonte, Guidubaldo, Mechanicorvm Liber

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        <body>
          <chap id="N13F6F">
            <p id="id.2.1.161.8.0.0.0" type="main">
              <s id="N14C53">
                <pb n="78" xlink:href="036/01/169.jpg"/>
              fulcimentum C non eſt penitus immobile. </s>
              <s id="id.2.1.161.8.1.11.0">cùm totus orbiculus ſur
                <lb/>
              ſum moueatur, toruſq; mutet totum locum; habet tamen C ratio
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              nem fulcimenti, quia minus mouetur C, quàm k, & E: punctum
                <lb/>
              enim E mouetur vſq; ad R, & K vſq; ad T, punctum verò C vſq;
                <lb/>
              ad S tantùm. </s>
              <s id="id.2.1.161.8.1.12.0">quare dum centrum K eſt in T, poſitio orbiculi erit
                <lb/>
              QR PS: & pondus A. hoc eſt punctum H erit in O; cùm TO
                <lb/>
              ſit æqualis kH; poſitio verò EC, ſcilicet vectis moti, erit RS, po
                <lb/>
              tentiaq; in F mota erit ſurſum per rectam EFG. </s>
              <s id="id.2.1.161.8.1.12.0.a">eodem autem
                <lb/>
              tempore, quo k erit in T, ſit potentia in G: dum autem vectis EC
                <lb/>
              hoc modo mouetur, adhuc ſemper remanent GP BQ inter ſe ſe æ­
                <lb/>
              quidiſtantes, atq; horizonti perpendiculares, ita vt vbi orbiculum
                <lb/>
              tangunt, vt in punctis PQ; ſemper linea PQ erit diameter orbi
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              culi, & tanquam vectis horizonti æquidiſtans. </s>
              <s id="id.2.1.161.8.1.13.0">dum igitur orbi­
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              culus mouetur, & circumuertitur, ſemper etiam mouetur vectis
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              EC, & ſemper remanet alius vectis in orbiculo horizonti æquiſtans,
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              vt PQ; ita vt potentia in F ſemper moueat pondus vecte hori
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              zonti æquidiſtante, cuius fulcimentum erit ſemper in linea CB; &
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              pondus in medio vectis appenſum; potentiaq; in linea EG. </s>
              <s id="id.2.1.161.8.1.13.0.a">quod
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              erat oſtendendum. </s>
            </p>
            <p id="id.2.1.162.1.0.0.0" type="margin">
              <s id="id.2.1.162.1.1.1.0">
                <margin.target id="note245"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              1
                <emph type="italics"/>
              huius
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.162.1.1.2.0">
                <margin.target id="note246"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              2
                <emph type="italics"/>
              huius
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.162.1.1.3.0">
                <margin.target id="note247"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              34
                <emph type="italics"/>
              primi.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.162.1.1.4.0">
                <margin.target id="note248"/>
              29
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.163.1.0.0.0" type="main">
              <s id="id.2.1.163.1.1.1.0">Iiſdem poſitis, ſpatium potentiæ pondus
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              mouentis duplum eſt ſpatii eiuſdem ponderis
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              moti. </s>
            </p>
            <p id="id.2.1.163.2.0.0.0" type="main">
              <s id="id.2.1.163.2.1.1.0">Cùm enim oſtenſum ſit, dum k eſt in T, pondus A, hoc eſt
                <lb/>
              punctum H eſſe in O, & in eodem etiam tempore potentiam in
                <lb/>
              F eſſe in G: & quoniam funis BCDEF eſt æqualis funi BQS
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              PG; funis enim eſt idem; & funis circa ſemicirculum CDE eſt
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              æqualis funi circa ſemicirculum QSP; demptis igitur communi
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              bus BQ, & FP; erit reliquus FG ipſis CQ, & EP ſimul ſumptis
                <lb/>
              æqualis. </s>
              <s id="id.2.1.163.2.1.2.0">ſed EP ipſi TK eſt æqualis, & CQ ipſi quoq; Tk æqualis,
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              ſunt enim Pk TC parallelogramma rectangula; quare lineæ EP
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              CQ ſimul ipſius Tk duplæ erunt. </s>
              <s id="id.2.1.163.2.1.3.0">funis igitur FC ipſius TK du
                <lb/>
              plus erit. </s>
              <s id="id.2.1.163.2.1.4.0">& quoniam kH eſt æqualis TO, dempto communi kO,
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              erit kT ipſi HO æqualis; quare funis FG ipſius HO duplus erit; </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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