DelMonte, Guidubaldo, Mechanicorvm Liber

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    <archimedes>
      <text>
        <body>
          <chap id="N16D2B">
            <p id="id.2.1.241.2.0.0.0" type="main">
              <s id="id.2.1.241.2.1.7.0">
                <pb n="127" xlink:href="036/01/267.jpg"/>
              lices OQRSTVP mouebitur, quàm ſuper helices CDEFG. </s>
            </p>
            <p id="id.2.1.242.1.0.0.0" type="margin">
              <s id="id.2.1.242.1.1.1.0">
                <margin.target id="note327"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              2
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.242.1.1.2.0">
                <margin.target id="note328"/>
              21
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.243.1.0.0.0" type="main">
              <s id="id.2.1.243.1.1.1.0">Si autem OP diuidatur in quatuor partes æquales, deſcribantur­
                <lb/>
              què circa
                <foreign lang="grc">αβ</foreign>
              quatuor helices; adhuc facilius pondus mouebitur ſu­
                <lb/>
              per has quatuor, quàm ſuper tres OQRSTVP. </s>
              <s id="N171DB">& quò plures
                <lb/>
              erunt helices, eò facilius pondus mouebitur. </s>
              <s id="id.2.1.243.1.1.2.0">quod demonſtrare
                <lb/>
              oportebat. </s>
            </p>
            <p id="id.2.1.243.2.0.0.0" type="main">
              <s id="id.2.1.243.2.1.1.0">Tempus verò huius motus facilè patet, helices enim CDEFG
                <lb/>
              ſunt æquales HL; helices verò OQRSTVP ſunt æquales
                <lb/>
              XY: ſed XY maior eſt HL; ideo fiat Y
                <foreign lang="grc">ε</foreign>
              ipſi HL æqualis: ſi igi
                <arrow.to.target n="note329"/>
                <lb/>
              tur duo pondera ſuper lineas LHY
                <emph type="italics"/>
              X
                <emph.end type="italics"/>
              moueantur, & veloci­
                <lb/>
              tates motuum ſint æquales, citius pertranſibit quod mouetur ſuper
                <lb/>
              LH, quàm quod ſuper Y
                <emph type="italics"/>
              X
                <emph.end type="italics"/>
              mouetur. </s>
              <s id="id.2.1.243.2.1.2.0">in eodem enim tempore erunt
                <lb/>
              in H
                <foreign lang="grc">ε</foreign>
              . </s>
              <s id="id.2.1.243.2.1.3.0">quare tempus eius, quod mouetur ſuper helices OQRS
                <lb/>
              TVP, maius erit eo, quod eſt menſura eius, quod mouetur ſuper C
                <lb/>
              DEFG. </s>
              <s id="N17217">& quò plures erunt helices, eò maius erit tempus. </s>
              <s id="id.2.1.243.2.1.4.0">cùm au
                <lb/>
              tem datæ ſint lineæ HI
                <emph type="italics"/>
              XZ
                <emph.end type="italics"/>
              , & IL
                <emph type="italics"/>
              Z
                <emph.end type="italics"/>
              Y: datæ enim ſunt cochleæ AB
                <lb/>
                <foreign lang="grc">αβ</foreign>
              ; & anguli ad IZ recti dati; erit HL data. </s>
              <s id="id.2.1.243.2.1.5.0">ſimiliter &
                <emph type="italics"/>
              X
                <emph.end type="italics"/>
              Y data
                <arrow.to.target n="note330"/>
                <lb/>
              erit. </s>
              <s id="id.2.1.243.2.1.6.0">quare & harum proportio data erit. </s>
              <s id="id.2.1.243.2.1.7.0">temporum igitur propor
                <arrow.to.target n="note331"/>
                <lb/>
              tio eorum, quæ ſuper helices mouentur data erit. </s>
            </p>
            <p id="id.2.1.244.1.0.0.0" type="margin">
              <s id="id.2.1.244.1.1.1.0">
                <margin.target id="note329"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              18
                <emph type="italics"/>
              Primi.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.244.1.1.2.0">
                <margin.target id="note330"/>
                <emph type="italics"/>
              Ex
                <emph.end type="italics"/>
              48
                <emph type="italics"/>
              primi.
                <emph.end type="italics"/>
              </s>
              <s id="id.2.1.244.1.1.3.0">
                <margin.target id="note331"/>
              1
                <emph type="italics"/>
              Datorum & Ex ſexta primi Ioannis de Monte rego de triangulis.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="id.2.1.245.1.0.0.0" type="main">
              <s id="id.2.1.245.1.1.1.0">Alterum, quod efficit, vt pondera facilè mo­
                <lb/>
              ueantur, ſunt ſcytalæ, aut manubria, quibus co­
                <lb/>
              chlea circumuertitur. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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