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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N13B2C" type="main">
              <s id="N13C34">
                <pb xlink:href="077/01/106.jpg" pagenum="102"/>
                <emph type="italics"/>
              ABC. quare non eſt extra lineam AD. in ipſi igitur exiſtit.
                <emph.end type="italics"/>
              Quod
                <lb/>
              demonitrare oportebat. </s>
            </p>
            <p id="N13CD1" type="margin">
              <s id="N13CD3">
                <margin.target id="marg139"/>
              2.
                <emph type="italics"/>
              ſexti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13CDC" type="margin">
              <s id="N13CDE">
                <margin.target id="marg140"/>
              11.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13CE7" type="margin">
              <s id="N13CE9">
                <margin.target id="marg141"/>
              29.
                <emph type="italics"/>
              primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13CF2" type="margin">
              <s id="N13CF4">
                <margin.target id="marg142"/>
              2.
                <emph type="italics"/>
              ſexti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13CFD" type="margin">
              <s id="N13CFF">
                <margin.target id="marg143"/>
              2.
                <emph type="italics"/>
              ſexti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13D08" type="margin">
              <s id="N13D0A">
                <margin.target id="marg144"/>
              29.
                <emph type="italics"/>
              primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13D13" type="margin">
              <s id="N13D15">
                <margin.target id="marg145"/>
              11.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13D1E" type="margin">
              <s id="N13D20">
                <margin.target id="marg146"/>
              4.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13D29" type="margin">
              <s id="N13D2B">
                <margin.target id="marg147"/>
              38.
                <emph type="italics"/>
              primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13D34" type="margin">
              <s id="N13D36">
                <margin.target id="marg148"/>
              2.
                <emph type="italics"/>
              ſexti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13D3F" type="margin">
              <s id="N13D41">
                <margin.target id="marg149"/>
              2.
                <emph type="italics"/>
              ſexti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13D4A" type="margin">
              <s id="N13D4C">
                <margin.target id="marg150"/>
              11.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13D55" type="margin">
              <s id="N13D57">
                <margin.target id="marg151"/>
              2.
                <emph type="italics"/>
              ſexti.
                <lb/>
              lemma.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13D62" type="margin">
              <s id="N13D64">
                <margin.target id="marg152"/>
              *</s>
            </p>
            <p id="N13D68" type="margin">
              <s id="N13D6A">
                <margin.target id="marg153"/>
              11.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13D73" type="margin">
              <s id="N13D75">
                <margin.target id="marg154"/>
              *</s>
            </p>
            <p id="N13D79" type="margin">
              <s id="N13D7B">
                <margin.target id="marg155"/>
              A</s>
            </p>
            <figure id="id.077.01.106.1.jpg" xlink:href="077/01/106/1.jpg" number="65"/>
            <p id="N13D83" type="head">
              <s id="N13D85">SCHOLIVM.</s>
            </p>
            <p id="N13D87" type="main">
              <s id="N13D89">
                <arrow.to.target n="marg156"/>
              Inquit Archimedes
                <emph type="italics"/>
              linea igitur MN producta tranſibit per pun­
                <lb/>
              ctum H. quod eſſe non poteſt,
                <emph.end type="italics"/>
              nempè, vt non ipſamet linea MN,
                <lb/>
              ſed eius pars, ſiuead M, ſiue ad N producta cum H conue
                <lb/>
              nireoporteat. </s>
              <s id="N13D9B">cùm tamen ipſamet linea MN per punctum
                <lb/>
              H tranſire debeat. </s>
              <s id="N13D9F">ita vt punctum H ſit inter puncta MN;
                <lb/>
              hoc eſt in linea MN, & non in eius parte producta. </s>
              <s id="N13DA3">Nam ſi
                <lb/>
              punctum H centrum eſt grauitatis totius trianguli ABC.
                <lb/>
              punctum verò N centrum grauitatis magnitudinis ex
                <expan abbr="triãgu">triangu</expan>
                <lb/>
              lis EBD FDC compoſitę; at〈que〉 punctum M centrum gra­
                <lb/>
              uitatis parallelogrammi AEDF; oportet vt punctum H ita li­
                <lb/>
              neam diuidat MN; vt eius partes magnitudinibus permuta­
                <lb/>
              tim reſpondeant. </s>
              <s id="N13DB5">vt nimirum pars ad M ad partem ad N ſit,
                <lb/>
              vt magnitudo ex triangulis EBD FDC conſtans ad parallelo
                <lb/>
              grammum AEDF. vt ex ſexta, & octaua huius propoſitione
                <lb/>
              perſpicuum eſt. </s>
              <s id="N13DBD">Quare punctum H in linea MN eſſe debe­
                <lb/>
              ret; vt ipſemet Atchimedes paulò ſuperiùs affirmauit; cùm in­
                <lb/>
                <arrow.to.target n="marg157"/>
              quit.
                <emph type="italics"/>
              ac propterea magnitudinis ex omnibus compoſitæ contrum grauita­
                <lb/>
              tis eſt in linea MN.
                <emph.end type="italics"/>
              & non dixit in eius parte producta. </s>
              <s id="N13DCF">Quodiv
                <lb/>
              ca vel del
                <gap/>
              dum eſt verbum illud
                <emph type="italics"/>
              producta,
                <emph.end type="italics"/>
              tanquam ab aliquo
                <lb/>
              additum, vel ideo tamen hoc dixiſſe voluit Archimedes, vt o­
                <lb/>
              ſtenderet lineam MN nullo modo (etiam ſi produceretur)
                <expan abbr="cũ">cum</expan>
                <lb/>
              H conuenire poſſe. </s>
            </p>
            <p id="N13DE5" type="margin">
              <s id="N13DE7">
                <margin.target id="marg156"/>
              A</s>
            </p>
            <p id="N13DEB" type="margin">
              <s id="N13DED">
                <margin.target id="marg157"/>
              *</s>
            </p>
            <p id="N13DF1" type="head">
              <s id="N13DF3">PROPOSITIO. XIIII.</s>
            </p>
            <p id="N13DF5" type="main">
              <s id="N13DF7">Omnis trianguli centrum grauitatis eſt
                <expan abbr="punctũ">punctum</expan>
                <lb/>
              in quo rectæ lineæ ab angulis trianguli ad dimidia
                <lb/>
              later a ductæ concurrunt. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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