DelMonte, Guidubaldo, Mechanicorvm Liber
page |< < of 288 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N13F6F">
            <pb n="99" xlink:href="036/01/211.jpg"/>
            <p id="id.2.1.199.4.0.0.0" type="main">
              <s id="id.2.1.199.4.1.1.0">Et ſi funis in F duobus aliis adhuc circumuol­
                <lb/>
              uatur orbiculis, quorum centra ſint HK, qui de­
                <lb/>
              inde religetur in L; erit proportio potentiæ in G
                <lb/>
              ad pondus A ſeſquialtera. </s>
            </p>
            <p id="id.2.1.199.5.0.0.0" type="main">
              <s id="id.2.1.199.5.1.1.0">Si enim in MNOP quatuor eſſent poten
                <lb/>
              tiæ pondus ſuſtinentes, vnaquæq; ſubquadru
                <arrow.to.target n="note281"/>
                <lb/>
              pla eſſet ponderis A: ſed cùm potentia in k
                <arrow.to.target n="note282"/>
                <lb/>
              ſit dupla potentiæ in N; erit potentia in k
                <lb/>
              ponderis A ſubdupla. </s>
              <s id="id.2.1.199.5.1.2.0">& quoniam potentia
                <lb/>
              in D duabus in MO potentiis eſt æqualis; erit
                <lb/>
              quoq; potentia in D ponderis A ſubdupla. </s>
              <s id="id.2.1.199.5.1.3.0">
                <lb/>
              cùm autem adhuc potentia in C potentiæ in P
                <lb/>
              ſit dupla, erit ſimiliter
                <expan abbr="potẽtia">potentia</expan>
              in C ponderis A
                <lb/>
              ſubdupla. </s>
              <s id="id.2.1.199.5.1.4.0">tres igitur potentiæ in CD k tribus
                <lb/>
              medietatibus ponderis A ſunt æquales. </s>
              <s id="id.2.1.199.5.1.5.0">quo­
                <lb/>
              niam autem potentia in G potentiis in CDK
                <lb/>
              eſt æqualis, erit potentia in G tribus medie­
                <lb/>
              tatibus ponderis A æqualis. </s>
              <s id="id.2.1.199.5.1.6.0">Proportio igi­
                <lb/>
              tur potentiæ ad pondus ſeſquialtera eſt. </s>
            </p>
            <p id="id.2.1.200.1.0.0.0" type="margin">
              <s id="id.2.1.200.1.1.1.0">
                <margin.target id="note281"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              7
                <emph type="italics"/>
              huius
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.200.1.1.2.0">
                <margin.target id="note282"/>
              15
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.201.1.0.0.0" type="main">
              <s id="id.2.1.201.1.1.1.0">Si verò in G ſit potentia mouens, erit ſpa
                <lb/>
              tium ponderis ſpatii potentiæ ſeſquialterum.
                <figure id="id.036.01.211.1.jpg" place="text" xlink:href="036/01/211/1.jpg" number="194"/>
              </s>
            </p>
            <p id="id.2.1.201.2.0.0.0" type="main">
              <s id="id.2.1.201.2.1.1.0">Et ſi funis in L adhuc circa duos alios or
                <lb/>
              biculos reuoluatur, ſimiliter oſtendetur pro­
                <lb/>
              portionem potentiæ ad pondus ſeſquitertiam
                <lb/>
              eſſe. </s>
              <s id="id.2.1.201.2.1.2.0">& ſic in infinitum omnes proportiones
                <lb/>
              potentiæ ad pondus ſuperparticulares inue­
                <lb/>
              niemus. </s>
              <s id="id.2.1.201.2.1.3.0">oſtendemuſq; potentiam pondus
                <lb/>
              ſuſtinentem ad pondus ita eſſe, vt ſpatium
                <lb/>
              ponderis moti ad ſpatìum potentiæ pondus
                <lb/>
              mouentis. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum