DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N1215A" type="main">
              <s id="N12310">
                <pb xlink:href="077/01/067.jpg" pagenum="63"/>
              LH, HE, EC, CG, inter ſe ſunt æquales; erunt ST TV VX in
                <lb/>
              terſe æquales. </s>
              <s id="N1231C">quare lineæ inter centra grauitatis magnitudi­
                <lb/>
              num STVX exiſtentes ſunt inter ſe ęquales.
                <emph type="italics"/>
              omnes verò magni
                <lb/>
              tudines
                <emph.end type="italics"/>
              STVX ſimul
                <emph type="italics"/>
              ſunt æquales ipſi A
                <emph.end type="italics"/>
              , quandoquidem ipſis
                <lb/>
              OPQR, & numero, & magnitudine ſunt ęquales; ergo
                <emph type="italics"/>
              magni­
                <lb/>
              tudinis ex omnibus
                <emph.end type="italics"/>
              magnitudinibus STVX
                <emph type="italics"/>
              compoſitæ centrumgra
                <lb/>
              uitatis erit punstum E. cùm omnes
                <emph.end type="italics"/>
              magnitudines STVX
                <emph type="italics"/>
              ſint nu­
                <lb/>
              mero pares.
                <emph.end type="italics"/>
              quippe cùm ſint in ſectionibus LH HE EC CG nu
                <lb/>
              mero paribus. </s>
              <s id="N1234A">&
                <emph type="italics"/>
              LE ipſi EG æqualis exiſtat.
                <emph.end type="italics"/>
              quòd ſi LE eſtipſi
                <lb/>
              EG æqualis, demptis æqualibus LS GX æqualibus, ſiquidem
                <lb/>
              ſunt dimidiæ ſectionum LH CG æqualium: erunt SE
                <arrow.to.target n="marg49"/>
              in­
                <lb/>
              terſe æquales, vnde ex præcedenti colligitur, punctum E cen­
                <lb/>
              trum eſſe grauitatis magnitudinum STVX.
                <emph type="italics"/>
              ſimiliter autem
                <expan abbr="oſtẽ">oſtem</expan>
                <lb/>
              detur, quòd ſi
                <emph.end type="italics"/>
              diuidatur GK in partes GD DK ipſi N æquales;
                <lb/>
              cadetvti〈que〉 diuiſionum aliqua in
                <expan abbr="pũcto">puncto</expan>
              D; ſiquidem Nipſas
                <lb/>
              GD DK metitur; cùm vtra〈que〉 ſit æqualisipſi EC. diuiſioneſ­
                <lb/>
              què GD DK numero pares erunt; cùm N dimidiam
                <arrow.to.target n="marg50"/>
                <lb/>
              GK, ipſam ſcilicet EC metiatur. </s>
              <s id="N12379">ſi ita〈que〉 diuidatur GD DK
                <lb/>
              bifariam in punctis ZM. deinde diuidatur magnitudo B
                <lb/>
              in partes ipſi F æquales; ſectiones GD DH in GK exiſtentes
                <lb/>
              ipſi N æquales, erunt numero æquales ſectionibus in ma
                <lb/>
              gnitudine B exiſtentibus ipſi F æqualibus. </s>
              <s id="N12383">quare
                <emph type="italics"/>
              vnicui〈que〉
                <lb/>
              partium ipſius GK apponatur magnitudo æqualis ipſi F; centrum gra­
                <lb/>
              uitatis habens in medio ſectionis
                <emph.end type="italics"/>
              ; vt
                <expan abbr="ponãtur">ponantur</expan>
              magnitudines ZM in
                <lb/>
              ſectionibus GD DK, ita vt magnitudinum centra grauita­
                <lb/>
              tis, quæ ſint ZM, in medio ſectionum GD DK, in punctis
                <lb/>
              nempè ZM ſint conſtituta,
                <emph type="italics"/>
              omnes autem magnitudines
                <emph.end type="italics"/>
              ZM ſi
                <lb/>
              mul
                <emph type="italics"/>
              ſunt æquales ipſi B. magnitudinis ex omnibus
                <emph.end type="italics"/>
              magnitudinibus
                <lb/>
              ZM
                <emph type="italics"/>
              compoſitæ centrum grauitatis erit punctum D.
                <emph.end type="italics"/>
              cùm ſit ZD
                <lb/>
              ęqualis DM.
                <emph type="italics"/>
              ſed
                <emph.end type="italics"/>
              magnitudines STVX ſunt magnitudini A
                <lb/>
              æquales, & ZM ipſi B ergo
                <emph type="italics"/>
              magnitudo A eſt
                <emph.end type="italics"/>
              tanquam
                <emph type="italics"/>
              impoſita
                <lb/>
              ad E, ipſa verò B ad D.
                <emph.end type="italics"/>
              eodem ſcilicet modo ſe habebit ma­
                <lb/>
              gnitudo A impoſita ad E, vt ſe habent magnitudines STVX;
                <lb/>
              ipſa verò B ſe habebit ad D, vt magnitudines ZM.
                <emph type="italics"/>
              ſunt au
                <lb/>
              tem magnitudines
                <emph.end type="italics"/>
              STVXZM
                <emph type="italics"/>
              inter ſe æquales
                <emph.end type="italics"/>
              , cùm vnaquæ 〈que〉 ſit
                <lb/>
              ipſi F ęqualis: ſuntquè omnes, (hoc eſt ipſarum centra graui
                <lb/>
              tatis)
                <emph type="italics"/>
              inrecta linea poſitæ; quarum centragrauitatis poſita ſunt inter ſe
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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