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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N140F0" type="main">
              <s id="N1426E">
                <pb xlink:href="077/01/114.jpg" pagenum="110"/>
              uiſas; ita vt pars PE, quæ eſt ad minorem parallelam AD
                <lb/>
              reliquampartem PF eam habet proportionem, quam du
                <lb/>
              ipſius BC, quæ eſt maior æquidiſtantium, vna cum min
                <lb/>
              AD, ad duplam minoris AD cum maiore BC,
                <emph type="italics"/>
              ergo demons
                <gap/>
                <lb/>
              ta ſunt, quæ propoſita fuerant.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N14292" type="margin">
              <s id="N14294">
                <margin.target id="marg171"/>
                <emph type="italics"/>
              ex
                <emph.end type="italics"/>
              2.
                <emph type="italics"/>
              ſ
                <gap/>
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N142A3" type="margin">
              <s id="N142A5">
                <margin.target id="marg172"/>
              13.
                <emph type="italics"/>
              hu
                <gap/>
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N142AF" type="margin">
              <s id="N142B1">
                <margin.target id="marg173"/>
              8.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N142BA" type="margin">
              <s id="N142BC">
                <margin.target id="marg174"/>
                <emph type="italics"/>
              ex proxi­
                <lb/>
              me demon
                <lb/>
              ſtratis.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N142C8" type="margin">
              <s id="N142CA">
                <margin.target id="marg175"/>
              *
                <lb/>
              13.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N142D5" type="margin">
              <s id="N142D7">
                <margin.target id="marg176"/>
              6.
                <emph type="italics"/>
              hu
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N142E0" type="margin">
              <s id="N142E2">
                <margin.target id="marg177"/>
              1.
                <emph type="italics"/>
              ſe.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N142EB" type="margin">
              <s id="N142ED">
                <margin.target id="marg178"/>
              15.
                <emph type="italics"/>
              p
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N142F6" type="margin">
              <s id="N142F8">
                <margin.target id="marg179"/>
              29.
                <emph type="italics"/>
              p
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N14301" type="margin">
              <s id="N14303">
                <margin.target id="marg180"/>
                <emph type="italics"/>
              ex
                <emph.end type="italics"/>
              4.</s>
            </p>
            <p id="N1430C" type="margin">
              <s id="N1430E">
                <margin.target id="marg181"/>
              11.
                <emph type="italics"/>
                <expan abbr="q.">〈que〉</expan>
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N14319" type="margin">
              <s id="N1431B">
                <margin.target id="marg182"/>
              18.
                <gap/>
              </s>
            </p>
            <p id="N14320" type="margin">
              <s id="N14322">
                <margin.target id="marg183"/>
                <emph type="italics"/>
              corol
                <lb/>
              quint
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N1432C" type="margin">
              <s id="N1432E">
                <margin.target id="marg184"/>
                <emph type="italics"/>
              cor.
                <emph.end type="italics"/>
              2
                <lb/>
                <emph type="italics"/>
              ma a
                <gap/>
                <lb/>
              huius
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N14340" type="margin">
              <s id="N14342">
                <margin.target id="marg185"/>
              1.
                <emph type="italics"/>
              l.
                <lb/>
              in
                <emph.end type="italics"/>
              13</s>
            </p>
            <figure id="id.077.01.114.1.jpg" xlink:href="077/01/114/1.jpg" number="71"/>
            <p id="N14352" type="head">
              <s id="N14354">SCHOLIVM.</s>
            </p>
            <p id="N14356" type="main">
              <s id="N14358">
                <arrow.to.target n="marg186"/>
              Græcus codex poſt ea verba,
                <emph type="italics"/>
              cùm ſit HB tertia pars ipſius
                <emph.end type="italics"/>
              Z
                <lb/>
              habet
                <foreign lang="grc">και δια τοῡ θ σαμ
                  <gap/>
                ιου ω̄αζἀλλ
                  <gap/>
                λος τἀ βὰσει ὀυχ τᾱς ἁ μθ</foreign>
              , qu
                <gap/>
                <lb/>
              quidem verba illa
                <foreign lang="grc">οὐκ τὰς</foreign>
              perperam leguntur; quorum l
                <gap/>
                <lb/>
              ponerem
                <foreign lang="grc">α
                  <gap/>
                ομὶνα ἐσὶ</foreign>
              , ita vt ſint hoc modo reſtituenda,
                <foreign lang="grc">κα
                  <gap/>
                δια
                  <lb/>
                  <gap/>
                σαμε̄ιου ω̄αζάλλ
                  <gap/>
                λως τᾱ βὰσει α
                  <gap/>
                ομὲνα ισὶ ἁ μθ. </foreign>
              </s>
            </p>
            <p id="N1438A" type="margin">
              <s id="N1438C">
                <margin.target id="marg186"/>
              *</s>
            </p>
            <p id="N14390" type="main">
              <s id="N14392">Hæc ſunt, quæ de centro grauitatis figurarum rectiline
                <lb/>
              Archimedes ſcripta reliquit. </s>
              <s id="N14396">Ex quibus maxima certè vtil
                <lb/>
              habetur; ne〈que〉 ampliùs de rectilineis figuris Archimedes p
                <lb/>
              tractare voluit. </s>
              <s id="N1439C">ex dictis enim alia omnia dependent. </s>
              <s id="N1439E">Nan
                <lb/>
              tra grauitatis rectilinearum figurarum, quæ æquales angu
                <lb/>
              latera〈que〉 æqualia habent, ex his in uenire poterimus. </s>
              <s id="N143A4">quæ
                <lb/>
              dem figurę in circulo inſcribi poſſunt. </s>
              <s id="N143A8">Quod ſanè Federi
                <lb/>
              Comandinus in eius libro de centro grauitatis ſolidorum
                <lb/>
              prioribus propoſitionibus præſtitit. </s>
              <s id="N143AE">aliaquè nonnulla, vt
                <gap/>
                <lb/>
              tragrauitatis rectilinearum figurarum in ellipſi, deindè ip
                <gap/>
                <lb/>
              circuli, & ellipſis centra grauitatis in uenit. </s>
              <s id="N143B6">omneſquè dem
                <lb/>
              ſtrationes in ijs, quæ in hoc libro iam demonſtrata ſunt,
                <lb/>
              dauit. </s>
              <s id="N143BC">præterea ex his etiam idem Commandinus in com
                <lb/>
              tarijs libri Archimedis de quadratura paraboles, (quo ad p
                <lb/>
              xim) grauitatis centrum cuiuſlibet figurę rectilineæ ad in
                <lb/>
              nit. </s>
              <s id="N143C4">Quod quidem nos quo〈que〉, vt initio polliciti fuimus,
                <lb/>
              nullis mutatis idem oſtendemus. </s>
              <s id="N143C8">hoc prius ſuppoſito. </s>
            </p>
            <p id="N143CA" type="main">
              <s id="N143CC">Triangula in eadem baſi conſtituta eam inter ſe propo
                <gap/>
                <lb/>
              nem habent, quam eorum altitudines. </s>
            </p>
            <p id="N143D1" type="main">
              <s id="N143D3">Hoc autem demonſtratum eſt ab excellentiſsimis viris,
                <lb/>
              riſquè Euclidis interpretibus, Federico
                <expan abbr="Cõmandino">Commandino</expan>
              , & Cl
                <lb/>
              ſtophoro Clauio; qui hanc propoſitionem poſt primam
                <lb/>
              ti libri Euclidis demonſtrarunt. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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