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

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page |< < of 207 > >|
    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N11D36" type="main">
              <s id="N11D38">
                <pb xlink:href="077/01/056.jpg" pagenum="52"/>
              erit AC ipſi CE ęqualis. </s>
              <s id="N11D4E">cùm què ſit grauitas magnitudinis
                <lb/>
                <arrow.to.target n="marg39"/>
              A ęqualis grauitati ipſius E, erit itidem punctum C magni
                <lb/>
              tudinum AE centrum grauitatis. </s>
              <s id="N11D58">ergo punctum C magni
                <lb/>
              tudinis ex omnibus magnitudinibus ABCDE compoſitæ
                <lb/>
              centrum grauitatis exiſtit. </s>
            </p>
            <p id="N11D5E" type="margin">
              <s id="N11D60">
                <margin.target id="marg39"/>
              4
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p id="N11D69" type="main">
              <s id="N11D6B">Quòd ſi fuerint ad huc plures magnitudines, impares verò
                <lb/>
              extiterint; quæ ita ſe habeant, vt expoſitum eſt; ſimiliter
                <expan abbr="oſtẽ">oſtem</expan>
                <lb/>
              detur, centrum grauitatis mediæ magnitudinis centrum eſſe
                <lb/>
              grauitatis magnitudinis ex omnibus magnitudinibus com­
                <lb/>
              poſitæ. </s>
            </p>
            <p id="N11D79" type="main">
              <s id="N11D7B">
                <arrow.to.target n="marg40"/>
              In hoc corollario, verba illa,
                <emph type="italics"/>
              & magnitudines æqualem habue­
                <lb/>
              rint grauitatem
                <emph.end type="italics"/>
              in greco codice ita habentur.
                <foreign lang="grc">εἵκα τατε ἴσον ἀπέχον­
                  <lb/>
                τα ἀπὸ τοῦ μέσου μεγέθεος ἴσον βάρος ἔχωντι</foreign>
              quorum multa ſuperuaca­
                <lb/>
              nea nobis viſa ſunt; loco quorum (vt arbitror) rectè
                <expan abbr="congruẽt">congruent</expan>
                <lb/>
                <foreign lang="grc">καὶ τὰ μεγέθεα ἴσον βάρος ἔχωντι</foreign>
              , vt vertimus. </s>
              <s id="N11D9B">Nam ſi ordinis at〈que〉
                <lb/>
                <expan abbr="cõditionum">conditionum</expan>
              propoſitę propoſitionis ratio habenda eſt, opor
                <lb/>
              tet vt magnitudines ęqualem habeant grauitatem; Nam &
                <lb/>
              Archimedes in ſe〈que〉ntibus demonſtrationibus ijs vtitur, ut
                <lb/>
              ſunt æ〈que〉graues. </s>
              <s id="N11DA8">Adhuc tamen veritatem habebit ſi cæteris
                <lb/>
              conditionibus illud quo〈que〉 addere voluerimus, nempe ſi
                <emph type="italics"/>
              ma
                <lb/>
              gnitudines à media magnitudine æqualiter diſtantes æqualem habuerint
                <lb/>
              grauitatem
                <emph.end type="italics"/>
              eodem modo punctum C centrum erit grauitatis
                <lb/>
                <arrow.to.target n="fig23"/>
                <lb/>
              magnitudinis ex omnibus ABCDE compoſitę, Nam ſi ma­
                <lb/>
              gnitudines à media magnitudine ſunt ę〈que〉graues; ęqualem
                <lb/>
              quo〈que〉 habebunt grauitatem magnitudines AE; veluti ma­
                <lb/>
              gnitudines BD, quæ æqualiter à media magnitudine C di­
                <lb/>
              ſtant. </s>
              <s id="N11DC5">& quam uis non ſint omnes æ〈que〉graues, ſufficit, vt AE
                <lb/>
              quæ ęqualiter à media magnitudine diſtant, ſint ę〈que〉graues.
                <lb/>
              ſimiliter BD ę〈que〉graues. </s>
              <s id="N11DCB">Eadem enim ratione, quoniam
                <lb/>
              BD ſunt æ〈que〉graues, & diſtantiæ BC CD ęquales; erit C </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>