DelMonte, Guidubaldo, Mechanicorvm Liber

Table of figures

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        <body>
          <chap id="N13F6F">
            <pb n="71" xlink:href="036/01/155.jpg"/>
            <p id="id.2.1.151.4.0.0.0" type="main">
              <s id="id.2.1.151.4.1.1.0">Sit pondus A; ſint tres orbiculi, quorum
                <lb/>
              centra BCD; orbiculuſq;, cuius centrum D,
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              ſit trochleæ ſurſum appenſæ; quorum verò
                <lb/>
              ſunt centra BC, ſint trochleæ ponderi A alli
                <lb/>
              gatæ; funiſq; EFGHkLNOP per omnes
                <lb/>
              circumducatur orbiculos, qui religetur in E;
                <lb/>
              ſitq; vis in P ſuſtinens pondus A. </s>
              <s id="id.2.1.151.4.1.1.0.a">dico po
                <lb/>
              tentiam in P ſubquadruplam eſſe ponderis
                <lb/>
              A. </s>
              <s id="id.2.1.151.4.1.1.0.b">ducantur kL GF ON per rotularum
                <lb/>
              centra, & horizonti æquidiſtantes, quæ (ex
                <lb/>
              iis, quæ dicta ſunt) tanquam vectes erunt. </s>
              <s id="id.2.1.151.4.1.2.0">
                <lb/>
              & quoniam propter vectem, ſiue libram kL,
                <lb/>
              cuius fulcimentum, ſiue centrum eſt in me
                <lb/>
              dio, tàm ſuſtinet funis kG, quàm LN, cùm
                <arrow.to.target n="note233"/>
                <lb/>
              in neutram partem fiat motus. </s>
              <s id="id.2.1.151.4.1.3.0">nec non
                <lb/>
              propter vectem GF, è cuius medio veluti ſu
                <lb/>
              ſpenſum dependet onus; ſi duæ eſſent in GF
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              potentiæ, ſeu in HE (eſt enim par vtriuſq;
                <lb/>
              ſitus ratio, vt iam ſepius dictum eſt) eſſent
                <arrow.to.target n="note234"/>
                <lb/>
              vtiq; huiuſmodi potentiæ inuicem æquales. </s>
              <s id="id.2.1.151.4.1.4.0">
                <lb/>
              quare ita ſuſtinet funis HG, vt EF. </s>
              <s id="N14696">ſimiliter
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              oſten detur funem PO tàm ſuſtinere, quàm
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              LN: quare funes PO kG EF LN æqua
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              liter ſuſtinent. </s>
              <s id="id.2.1.151.4.1.5.0">æqualiter igitur funis PO ſu
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              ſtinet, vt kG. </s>
              <s id="N146A3">ſi ergo duæ intelligantur eſ
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                <figure id="id.036.01.155.1.jpg" place="text" xlink:href="036/01/155/1.jpg" number="149"/>
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              ſe potentiæ in OG, ſeu in PH, quod idem eſt, pondus nihilomi
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              nus ſuſtinentes, quemadmodum funes ſuſtinent, æquales vtiq; eſ
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              ſent; & GF ON duorum vectium vires gerent; quorum fulci
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              menta erunt FN, & pondus A in BC medio vectium appenſum. </s>
              <s id="id.2.1.151.4.1.6.0">
                <lb/>
              & quoniam omnes funes æqualiter ſuſtinent, tàm ſuſtinebunt
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              duo PO LN, quàm duo KGEF; tàm igitur ſuſtinebit vectis
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              ON, quàm vectis GF. </s>
              <s id="N146BB">quare in vtroq; vecte ON GF æquali
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              ter pondus
                <expan abbr="põderabit">ponderabit</expan>
              . </s>
              <s id="id.2.1.151.4.1.7.0">erit ergo vnaquæq; potentia in PH ſubquadru
                <arrow.to.target n="note235"/>
                <lb/>
              pla ponderis A. </s>
              <s id="N146CB">& cùm funis KG potentiæ loco ſumatur, quippè
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              qui haud ſecus ſuſtinet, quàm PO; erit potentia in P ſuſtinens pon­
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              dus A ipſius ponderis ſubquadrupla. </s>
              <s id="id.2.1.151.4.1.8.0">quod demonſtrare oportebat. </s>
            </p>
            <p id="id.2.1.152.1.0.0.0" type="margin">
              <s id="id.2.1.152.1.1.1.0">
                <margin.target id="note233"/>
              1
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.152.1.1.2.0">
                <margin.target id="note234"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              2
                <emph type="italics"/>
              Cor.
                <emph.end type="italics"/>
              2
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.152.1.1.3.0">
                <margin.target id="note235"/>
              6
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
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