DelMonte, Guidubaldo, In duos Archimedis aequeponderantium libros Paraphrasis : scholijs illustrata
page |< < of 207 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N136E4" type="main">
              <s id="N1397F">
                <pb xlink:href="077/01/103.jpg" pagenum="99"/>
              centra verò grauitatis magnitudinis ex GEX K
                <foreign lang="grc">ε</foreign>
              F compo­
                <lb/>
              ſitę, ac magnitudinis ex. </s>
              <s id="N139CA">EBO FZC compoſſtæ, eſſent in par
                <lb/>
              te Q
                <foreign lang="grc">κ</foreign>
              , ita vt punctum Q magnitudinis ex omnibus trian­
                <lb/>
              gulis compoſitæ centrum eſſet grauitatis. </s>
              <s id="N139D4">quæ
                <expan abbr="quidẽſunt">quidenſunt</expan>
              om­
                <lb/>
              nino abſurda. </s>
              <s id="N139DC">Quòd ſi ducta linea per Q, non fuerit etiam
                <lb/>
              ipſi AD ęquidiſtans, eadem ſe〈que〉ntur in conuenientia.
                <emph type="italics"/>
              Ma
                <lb/>
              niſestum eſt igitur; quod propoſitum fuerat.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N139E7" type="margin">
              <s id="N139E9">
                <margin.target id="marg122"/>
                <emph type="italics"/>
              ex
                <emph.end type="italics"/>
              t.
                <emph type="italics"/>
              deci­
                <lb/>
              mi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N139F9" type="margin">
              <s id="N139FB">
                <margin.target id="marg123"/>
              2.
                <emph type="italics"/>
              ſexti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13A04" type="margin">
              <s id="N13A06">
                <margin.target id="marg124"/>
              2.
                <emph type="italics"/>
              ſexti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13A0F" type="margin">
              <s id="N13A11">
                <margin.target id="marg125"/>
              34.
                <emph type="italics"/>
              primi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13A1A" type="margin">
              <s id="N13A1C">
                <margin.target id="marg126"/>
              3.
                <emph type="italics"/>
              lemma.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13A25" type="margin">
              <s id="N13A27">
                <margin.target id="marg127"/>
                <emph type="italics"/>
              ex
                <emph.end type="italics"/>
              12.
                <emph type="italics"/>
                <expan abbr="quĩti">quinti</expan>
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13A37" type="margin">
              <s id="N13A39">
                <margin.target id="marg128"/>
                <emph type="italics"/>
              ex
                <emph.end type="italics"/>
              12.
                <emph type="italics"/>
                <expan abbr="quĩti">quinti</expan>
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13A49" type="margin">
              <s id="N13A4B">
                <margin.target id="marg129"/>
                <emph type="italics"/>
              ex
                <emph.end type="italics"/>
              4.
                <emph type="italics"/>
              ſexti
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13A59" type="margin">
              <s id="N13A5B">
                <margin.target id="marg130"/>
              1.
                <emph type="italics"/>
              lemma.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13A64" type="margin">
              <s id="N13A66">
                <margin.target id="marg131"/>
              8.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13A6F" type="margin">
              <s id="N13A71">
                <margin.target id="marg132"/>
              11.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13A7A" type="margin">
              <s id="N13A7C">
                <margin.target id="marg133"/>
              8.
                <emph type="italics"/>
              quinti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13A85" type="margin">
              <s id="N13A87">
                <margin.target id="marg134"/>
              20.
                <emph type="italics"/>
              quinti
                <lb/>
              add.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N13A92" type="margin">
              <s id="N13A94">
                <margin.target id="marg135"/>
              8.
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <figure id="id.077.01.103.1.jpg" xlink:href="077/01/103/1.jpg" number="62"/>
            <figure id="id.077.01.103.2.jpg" xlink:href="077/01/103/2.jpg" number="63"/>
            <p id="N13AA5" type="head">
              <s id="N13AA7">SCHOLIVM.</s>
            </p>
            <p id="N13AA9" type="main">
              <s id="N13AAB">Id ipſum vult ad huc Archimedes aliter oſtendere. </s>
              <s id="N13AAD">ob
                <expan abbr="ſe〈quẽ〉">ſe〈que〉m</expan>
                <lb/>
              tem verò demonſtrationem hoc priùs cognoſcere oportet. </s>
            </p>
            <p id="N13AB5" type="head">
              <s id="N13AB7">LEMMA.</s>
            </p>
            <p id="N13AB9" type="main">
              <s id="N13ABB">Si intra triangulum vni lateri ęquidiſtans ducatur, ab op­
                <lb/>
              poſito autem angulo intra triangulum quoquè recta ducatur
                <lb/>
              linea, æquidiſtantes lineas in eadem proportione diſpeſcet. </s>
            </p>
            <p id="N13AC1" type="main">
              <s id="N13AC3">Hoc in ſecundo noſtrorum planiſphęriorum libro in ea
                <lb/>
              parte oſtendimus, vbi quomodo conficienda ſit ellipſis, inſtru
                <lb/>
              mento à nobis inuento demonſtrauimus. </s>
              <s id="N13AC9">hoc nempè modo,
                <lb/>
                <arrow.to.target n="fig45"/>
                <lb/>
              Sit triangulum ABC, ipſiquè BC in­
                <lb/>
              tra triangulum ducatur vtcumquè æ­
                <lb/>
              quidiſtans DE. à punctoquè A intra
                <lb/>
              triangulum ſimiliter quocum〈que〉 du­
                <lb/>
              catur AF; quæ lineam BC ſecet in F;
                <lb/>
              lineam verò DE in G. Dico ita oſſe
                <lb/>
              CF ad FB, vt EG ad GD.
                <expan abbr="Quoniã">Quoniam</expan>
                <lb/>
              enim GE FC ſunt æquidiſtantes, erit
                <lb/>
              triangulum AFC triangulo AGE æquiangulum, vt
                <arrow.to.target n="marg136"/>
                <lb/>
              AF ad AG, ita CF ad EG. ob eandemquè cauíam ita eſt FA
                <lb/>
              ad AG, vt FB ad GD. quare vt CF ad EG, ita eſt FB ad
                <arrow.to.target n="marg137"/>
                <lb/>
              ac permutando, vt CF ad FB, ita EG ad GD. quod
                <arrow.to.target n="marg138"/>
                <lb/>
              ſtrare oportebat. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum