DelMonte, Guidubaldo, Mechanicorvm Liber

List of thumbnails

< >
211
211
212
212
213
213
214
214
215
215
216
216
217
217
218
218
219
219
220
220
< >
page |< < of 288 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N13F6F">
            <pb xlink:href="036/01/210.jpg"/>
            <p id="id.2.1.197.8.0.0.0" type="main">
              <s id="id.2.1.197.8.1.1.0">Sit pondus A trochleæ inferiori alligatum,
                <lb/>
              quæ orbiculum habeat, cuius centrum ſit B; tro
                <lb/>
              chlea verò ſuperior duos orbiculos habeat,
                <lb/>
              quorum centra ſint CD; ſitq; funis circa om
                <lb/>
              nes orbiculos reuolutus, qui in EF ſit religatus;
                <lb/>
              potentiaq; ſuſtinens pondus ſit in G. </s>
              <s id="id.2.1.197.8.1.1.0.a">dico po
                <lb/>
              tentiam in G ponderis A duplam eſſe. </s>
              <s id="id.2.1.197.8.1.2.0">ſi enim
                <lb/>
                <arrow.to.target n="note278"/>
              in H k duæ eſſent potentiæ pondus ſuſtinen
                <lb/>
                <arrow.to.target n="note279"/>
              tes, eſſet vtraq; ſubdupla ponderis A; ſed po
                <lb/>
                <arrow.to.target n="note280"/>
              tentia in D dupla eſt potentiæ in H, & poten
                <lb/>
              tia in C dupla potentiæ in K; quare duæ ſimul
                <lb/>
              potentiæ in CD vtriuſq; ſimul potentiæ in H k
                <lb/>
              duplæ erunt. </s>
              <s id="id.2.1.197.8.1.3.0">ſed potentiæ in H k ponderi A ſunt
                <lb/>
              æquales, & potentiæ in CD ipſi potentiæ in G
                <lb/>
              ſunt etiam æquales; potentia igitur in G ponde­
                <lb/>
              ris A dupla erit. </s>
              <s id="id.2.1.197.8.1.4.0">quod oportebat demonſtrare. </s>
            </p>
            <p id="id.2.1.198.1.0.0.0" type="margin">
              <s id="id.2.1.198.1.1.1.0">
                <margin.target id="note278"/>
              2.
                <emph type="italics"/>
              Cor.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.198.1.1.2.0">
                <margin.target id="note279"/>
              2
                <emph type="italics"/>
              Huius.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.198.1.1.3.0">
                <margin.target id="note280"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              15
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.199.1.0.0.0" type="main">
              <s id="id.2.1.199.1.1.1.0">Si autem in G ſit potentia mouens pon­
                <lb/>
              dus, ſimiliter vt in præcedenti oſtendetur ſpa
                <lb/>
              tium ponderis ſpatii potentiæ duplum eſſe.
                <figure id="id.036.01.210.1.jpg" place="text" xlink:href="036/01/210/1.jpg" number="193"/>
              </s>
            </p>
            <p id="id.2.1.199.2.0.0.0" type="main">
              <s id="id.2.1.199.2.1.1.0">Hinc quoq; conſiderandum eſt vectem PQ
                <lb/>
              non moueri, quia vectis LM habet fulcimen
                <lb/>
              tum in L, potentia in medio, & pondus in M. </s>
              <s id="id.2.1.199.2.1.1.0.a">
                <lb/>
              vectis autem NO habet fulcimentum in O,
                <lb/>
              potentia in medio, & pondus in N. </s>
              <s id="N15D20">quare M, & N ſurſum mo
                <lb/>
              uebuntur. </s>
              <s id="id.2.1.199.2.1.2.0">in contrarias igitur partes orbiculi, quorum centra
                <lb/>
              ſunt CD mouentur. </s>
              <s id="id.2.1.199.2.1.3.0">idcirco vectis PQ in neutram partem mo
                <lb/>
              uebitur; eritq;, ac ſi in medio eſſet appenſum pondus, & in PQ
                <lb/>
              duæ potentiæ æquales dimidio ponderis A. </s>
              <s id="N15D30">vtraq; enim potentia
                <lb/>
              in HK ſubdupla eſt ponderis A. </s>
              <s id="N15D34">totus igitur orbiculus, cuius
                <lb/>
              centrum B ſurſum mouebitur, ſed non circumuertetur. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>