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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N1292B" type="main">
              <s id="N12997">
                <pb xlink:href="077/01/078.jpg" pagenum="74"/>
              plures magnitudines, inquit,
                <emph type="italics"/>
              & magnitudines æqualem habuerint
                <lb/>
              grauitatem.
                <emph.end type="italics"/>
              ex quibus conſtat Archimedem ad magnitudinum
                <lb/>
              grauitates omnino reſpexiſſe. </s>
              <s id="N129B6">ita vt quando Archimedes in­
                <lb/>
              quit,
                <emph type="italics"/>
              & magnitudines æquales
                <emph.end type="italics"/>
              , idem eſt, ac ſi dixiſſet,
                <emph type="italics"/>
              & magnitu­
                <lb/>
              dines æqualem habuerint grauitatem.
                <emph.end type="italics"/>
              Præterea in ſexta propoſitio
                <lb/>
              ne inquit magnitudines ę〈que〉ponderare ex diſtantijs permu­
                <lb/>
              tàtim proportionem habentibus, vt grauitates. </s>
              <s id="N129CC">ita ut cauſa
                <lb/>
              huius æ〈que〉ponderationis ſit (vt reuera eſt) magnitudinum
                <lb/>
              grauitas. </s>
              <s id="N129D2">&
                <expan abbr="quãquam">quanquam</expan>
              in hac ſeptima propoſitione dicat, ma
                <lb/>
              gnitudines æ〈que〉ponderare ex diſtantijs permutatim propor­
                <lb/>
              tionem habentibus, vt magnitudines, & non dixit, vt grauita
                <lb/>
              tes; intelligendum tamen eſt, ac ſi dixiſſet, eas ę〈que〉pondera­
                <lb/>
              re, vt magnitudinum grauitates. </s>
              <s id="N129E0">hęc enim ſeptima propoſi­
                <lb/>
              tio eſt pars ſextæ propoſitionis, vt iam pręfati fum^{9}; vnde ſi in
                <lb/>
              ſexta magnitudines ę〈que〉ponderant ob earum grauitatem, ob
                <lb/>
              eandem quo〈que〉 cauſam & in hac ſeptima æ〈que〉ponderare de
                <lb/>
              bent. </s>
              <s id="N129EA">Pręterea in ſe〈que〉nti etiam propoſitione dum proponit
                <lb/>
              oſtendere quam proportionem habere debent ſectiones lineę
                <lb/>
              intercentra grauitatum diuiſę magnitudinis
                <expan abbr="exiſtẽtes">exiſtentes</expan>
              , inquit,
                <lb/>
                <emph type="italics"/>
              quam habet grauitas magnitudinis ablatæ ad grauitatem reſiduæ
                <emph.end type="italics"/>
              hoc
                <lb/>
              autem deinceps exponens,
                <expan abbr="nõ">non</expan>
              inquit oportere ſectiones lineæ
                <lb/>
              eam habere proportionem, quàm grauitas ad grauitatem ha­
                <lb/>
              bet; ſed horum loco inquit, quàm magnitudo ad magnitudi
                <lb/>
              nem. </s>
              <s id="N12A07">ex quibus omnibus clarè perſpicitur, quòd quando Ar­
                <lb/>
              chimedes magnitudines nominat, omnino magnitudinum
                <lb/>
              grauitates vult intelligere. </s>
            </p>
            <p id="N12A0D" type="main">
              <s id="N12A0F">Ad eorum autem
                <expan abbr="intelligentiã">intelligentiam</expan>
              , quę dicta ſunt in ſexta, ſepti
                <lb/>
              maquè propoſitione,
                <expan abbr="earũquè">earunquè</expan>
                <expan abbr="demõſtrationibus">demonſtrationibus</expan>
              ,
                <expan abbr="obſeruandũ">obſeruandum</expan>
                <lb/>
              eſt, quòd in ſexta propoſitione pro magnitudinibus commen
                <lb/>
              ſurabilibus intelligere oportet magnitudines grauitate com­
                <lb/>
              menſurabiles; ita nempe, vt numeris exprimi poſſint; quam­
                <lb/>
              quam non ſint mole, & magnitudine commenſurabiles, vt
                <lb/>
              in figura ſextę propoſitionis magnitudo A ponderet exempli
                <lb/>
              gratia vt XVI. B verò vt VIII.
                <expan abbr="intelligaturq́">intelligatur〈que〉</expan>
              ; F
                <expan abbr="magnitudinũ">magnitudinum</expan>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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