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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N12D95" type="main">
              <s id="N12DFF">
                <pb xlink:href="077/01/086.jpg" pagenum="82"/>
                <emph type="italics"/>
              ſimilibus ipſi KF inuicem coaptatis, & centra grauitatis inter ſe conue­
                <lb/>
              nient.
                <emph.end type="italics"/>
              quia verò in EB facta eſt diuiſio ſemper in duas partes
                <lb/>
              ęquales erunt parallelogramma in ED numero paria. </s>
              <s id="N12E16">ac per
                <lb/>
              conſe〈que〉ns & quę ſunt in EC numero paria. </s>
              <s id="N12E1A">vnde & quę
                <expan abbr="sũ">sunt</expan>
                <lb/>
              in toto AD numero paria
                <expan abbr="erũt">erunt</expan>
              .
                <emph type="italics"/>
              Jta〈que〉 quædam erunt magnitudi­
                <lb/>
              nes æquidiſtantium laterum æquales ipſi KF numero pares,
                <emph.end type="italics"/>
              hoc eſt o­
                <lb/>
                <arrow.to.target n="marg81"/>
              mnes, quæ ſunt in AD,
                <emph type="italics"/>
              centraquè grauitatis ipſarum in recta linea
                <emph.end type="italics"/>
                <lb/>
                <arrow.to.target n="marg82"/>
                <emph type="italics"/>
              ſunt conſtituta, & lineæ inter centra ſunt a quales magnitudinis ex ipſis
                <lb/>
              omnibus compoſitæ centrum grauitatis erit in recta linea, quæ coniungit
                <lb/>
              centra grauitatis mediorum ſpatiorum,
                <emph.end type="italics"/>
              parallelogrammorum ſcili­
                <lb/>
              cet LF KF.
                <emph type="italics"/>
              Non est autem; punctum enim H,
                <emph.end type="italics"/>
              quod ſupponitur
                <lb/>
              eſſe centrum grauitatis omnium magnitudinum, hoc eſt pa
                <lb/>
              rallelogrammi AD,
                <emph type="italics"/>
              extra media parallelogramma
                <emph.end type="italics"/>
              LF KF
                <emph type="italics"/>
              exiſtit.
                <emph.end type="italics"/>
                <lb/>
              etenim cùm ſit EK minor HI, linea KS ipſi EF
                <expan abbr="ęquidiſtãs">ęquidiſtans</expan>
                <lb/>
              lineam HI ipſi EK æquidiſtantem ſecabit, quippè quæ re­
                <lb/>
              lin〈que〉t punctum H extra figuram KF, ac per conſe〈que〉ns ex­
                <lb/>
              tra media parallelogramma LF KF. quare punctum H non
                <lb/>
              eſt centrum grauitatis parallelogrammi AD, vt ſupponeba­
                <lb/>
              tur.
                <emph type="italics"/>
              ergo conſtat, centrum grauitatis parallelogrammi ABCD eſſe in re
                <lb/>
              cta linea EF.
                <emph.end type="italics"/>
              quod demonſtrare oportebat. </s>
            </p>
            <p id="N12E74" type="margin">
              <s id="N12E76">
                <margin.target id="marg78"/>
              *</s>
            </p>
            <p id="N12E7A" type="margin">
              <s id="N12E7C">
                <margin.target id="marg79"/>
                <emph type="italics"/>
              ex prima
                <lb/>
              pręcedenti
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N12E86" type="margin">
              <s id="N12E88">
                <margin.target id="marg80"/>
              36.
                <emph type="italics"/>
              primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N12E91" type="margin">
              <s id="N12E93">
                <margin.target id="marg81"/>
              *</s>
            </p>
            <p id="N12E97" type="margin">
              <s id="N12E99">
                <margin.target id="marg82"/>
                <emph type="italics"/>
              lemma.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N12EA1" type="head">
              <s id="N12EA3">SCHOLIVM.</s>
            </p>
            <p id="N12EA5" type="main">
              <s id="N12EA7">
                <arrow.to.target n="marg83"/>
              Græcus codex poſt verba,
                <emph type="italics"/>
              centraquè grauitatis ipſarum in recta
                <lb/>
              linea ſunt constituta,
                <emph.end type="italics"/>
              habet,
                <foreign lang="grc">καὶ τὰ μὲσα ἴσα, καὶ ω̄ὰντα τὰ εφ̓ εκάτεζα
                  <lb/>
                τῶν μἐσων αυτά τε ἴσα ἐντί</foreign>
              , quæ quidem omnino ſuperflua nobis
                <lb/>
              ui
                <gap/>
              a ſunt, &
                <expan abbr="tanquã">tanquam</expan>
              ab aliquo addita. </s>
              <s id="N12EC3">Nam ſi Archimedes di­
                <lb/>
              xit omnia parallelogramma eſſe inter ſe, & ęqualia, & ſimilia;
                <lb/>
              non opus eſt addere, media LF ES eſſe inter ſe ęqualia, &
                <lb/>
              quę ab his ſunrad vtram〈que〉 partem, vt MR KT, NQ GV,
                <lb/>
              AP OD, eſſe inter ſe æqualia; cum omnia (vt dictum eſt) ſint
                <lb/>
              ęqualia. </s>
              <s id="N12ECF">quare verba hęc (meo quidem iudicio) delenda ſunt.
                <lb/>
              demonſtrationes enim mathematicę nullum admittunt ſu­
                <lb/>
              perfluum. </s>
              <s id="N12ED5">& Archim edes non tantùm ſuperfluus, quin potiùs
                <lb/>
              ob cius breuitatem diminutus ferè videatur. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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