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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N16640" type="main">
              <s id="N16673">
                <pb xlink:href="077/01/169.jpg" pagenum="165"/>
              æqualis, eandem habebit proportionem BH ad HE,
                <expan abbr="quã">quam</expan>
                <arrow.to.target n="marg295"/>
                <lb/>
              ad F. quæ eſt proportio trianguli ABC ad. </s>
              <s id="N166A0">K. vnde figu­
                <lb/>
              ra rectilinea AGBLC ad circumrelictas portiones maiorem,
                <lb/>
              habebit proportionem, quàm BH ad HE. ſi verò ponatur
                <lb/>
              HE maior, quàm F, habebit BH ad F, hoc eſt
                <expan abbr="triangulũ">triangulum</expan>
                <arrow.to.target n="marg296"/>
                <lb/>
              ABC ad K maiorem proportionem, quàm BH ad HE.
                <lb/>
                <emph type="italics"/>
              multo igitur maiorem habet proportionem figura rectilinea AGBLC ad
                <lb/>
              circumrelictas portiones, quàm BH ad HE. Quare ſi fiat ut rectili­
                <lb/>
              linea figura AGBLC ad circumrelictas portiones, ſic alia quædam li­
                <lb/>
              nea ad HE. erit maior, quàm BH. ſitquè HM. Cùm enim portio­
                <lb/>
              nis ABC centrum grauitatis ſit H. figuræ verò rectilineæ AGBLC
                <lb/>
              punctum E. producta EH, aſſumptaquè aliqua recta linea proportione
                <lb/>
              babente ad EH, quam rectilineum AGBLC ad circumtelictas por­
                <lb/>
              tiones; maior erit quàm HB. habeat igitur
                <emph.end type="italics"/>
              (vt dictum eſt)
                <emph type="italics"/>
              MH ad
                <lb/>
              HE
                <emph.end type="italics"/>
              proportionem eam, quam habet figura AGBLC ad
                <arrow.to.target n="marg297"/>
                <lb/>
              quas portiones,
                <emph type="italics"/>
              ergopunctum M centrum est grauit atis magnitudi­
                <lb/>
              nis ex circumrelictis portionibus compoſitæ. </s>
              <s id="N166D8">quod eſſe non poteſt. </s>
              <s id="N166DA">Ducta
                <lb/>
              enimrecta linea
                <emph.end type="italics"/>
              RS
                <emph type="italics"/>
              per M ipſi AC æquidistante, inipſa ſunt centra
                <lb/>
              grauitatis vnicuiquè portioni reſpondentia
                <emph.end type="italics"/>
              ; ita ſcilicet vt centrum
                <lb/>
              magnitudinis ex portionibus ANG GOB compoſitæ ſit in
                <lb/>
              linea RS. ſed in parte MR. in parteverò MS ſit grauitatis
                <lb/>
              centrum magnitudinis ex reliquis portionibus BPL LQC
                <lb/>
              compoſitæ; ita vt punctum M magnitudinis ex omnibus
                <lb/>
              portionibus compoſitæ centrum grauitatisexiſtat. </s>
              <s id="N166F3">quæ
                <expan abbr="tamẽ">tamen</expan>
                <lb/>
              eſſe non poſſunt. </s>
              <s id="N166FB">quod idem accideret, ſi etiam RS ipſi AC
                <lb/>
              æquidiſtans non eſſet.
                <emph type="italics"/>
              Patetigitur HE minorem eſſe, quam F.
                <emph.end type="italics"/>
                <lb/>
              cùm ne〈que〉 maior, ne〈que〉 ęqualis eſſe poſſit.
                <emph type="italics"/>
              quod quidem de­
                <lb/>
              monſtrare oportebat.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N1670D" type="margin">
              <s id="N1670F">
                <margin.target id="marg293"/>
              A</s>
            </p>
            <p id="N16713" type="margin">
              <s id="N16715">
                <margin.target id="marg294"/>
                <emph type="italics"/>
                <expan abbr="lẽma">lemma</expan>
              in
                <emph.end type="italics"/>
              4.
                <lb/>
                <emph type="italics"/>
                <expan abbr="ſecũdi">ſecundi</expan>
              hui
                <emph.end type="italics"/>
              ^{9}</s>
            </p>
            <p id="N1672B" type="margin">
              <s id="N1672D">
                <margin.target id="marg295"/>
              7.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N16736" type="margin">
              <s id="N16738">
                <margin.target id="marg296"/>
              8.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N16741" type="margin">
              <s id="N16743">
                <margin.target id="marg297"/>
              8.
                <emph type="italics"/>
              primi hu
                <lb/>
              ius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N1674E" type="head">
              <s id="N16750">SCHOLIVM.</s>
            </p>
            <p id="N16752" type="main">
              <s id="N16754">In hac quo〈que〉 demonſtratione obſeruandum eſt,
                <arrow.to.target n="marg298"/>
                <lb/>
              poſt quartam huius adnotauimus; nimirum ſi pentagonum
                <lb/>
              AGBLC in portione planèinſcriptum relin〈que〉ret portiones
                <lb/>
              ANG GOB BPL LQC, quæ ſimul maiores, vel etiam </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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