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

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    <archimedes>
      <text>
        <body>
          <chap id="N10019">
            <p id="N148BC" type="main">
              <s id="N14942">
                <pb xlink:href="077/01/125.jpg" pagenum="121"/>
              uiſſe ſcalenos, conſideranda eſt octaua propoſitio libri de co­
                <lb/>
              noidibus, & ſph æroidibus, in qua proponit Archimedes co­
                <lb/>
              num conſtituere, & inuenire, in quo ſitſectio ellipſis data, ver
                <lb/>
              tex autem coni in linea exiſtat a centro ellipſis ad
                <gap/>
              ectos angu
                <lb/>
              los ellipſis plano erecta. </s>
              <s id="N14954">Exqua conſtructione planè apparet,
                <lb/>
              Archimedem (vt ex eius demonſtratione conſtat) hoc in lo­
                <lb/>
              co 〈que〉rere, & inuenire conum proculdubio ſcalenum. </s>
              <s id="N1495A">vt
                <expan abbr="etiã">etiam</expan>
                <lb/>
              ex nona eiuſdem libri propoſitione perſpicuum eſſe poteſt; in
                <lb/>
              qua vt plurimùm conus inuenitur ſcalenus. </s>
              <s id="N14964">Ex quibus mani­
                <lb/>
              feſtiſſimè patet Archimedem non ſolùm de conis rectis,
                <expan abbr="verũ">verum</expan>
                <lb/>
              etiam de conis ſcalenis notitiam habuiſſe. </s>
              <s id="N1496E">Porrò ea verba, quę
                <lb/>
              refert Eutocius ex ſententia Heraclij, qui Archimedis vitam
                <lb/>
              literis mandauit; idipſum ſatis manifeſtant. </s>
              <s id="N14974">Heraclius enim
                <lb/>
              inquit Archimedem quidem
                <expan abbr="primũ">primum</expan>
              conica theoremata fuiſſe
                <lb/>
              aggreſſum; Apollonium verò, cùm ea inueniſſetab Archime
                <lb/>
              de nondum edita; tanquam eius propria edidiſſe. </s>
              <s id="N14980">quod qui­
                <lb/>
              dem etiam exipſiusmet Archimedis ſcriptis
                <expan abbr="cõfirmari">confirmari</expan>
              poteſt.
                <lb/>
              in libro nam〈que〉 de conoidibus, & ſphæroidibus ante
                <expan abbr="quartã">quartam</expan>
                <lb/>
              propoſitionem vbi Archimedes theorema proponit alibi de­
                <lb/>
              monſtratum, inquit,
                <emph type="italics"/>
              Hoc autem oſten ſum eſt in conicis elementis.
                <emph.end type="italics"/>
              in
                <lb/>
              principio etiam libri de quadratura paraboles, cùm nonnulla
                <lb/>
              propoſuiſſet; poſt tertiam propoſitionem ſcilicet, inquit
                <emph type="italics"/>
              De­
                <lb/>
              monſtrata autem ſunt hæc in elementis conicis.
                <emph.end type="italics"/>
              nonneigitur conſtat
                <lb/>
              Archimedem
                <expan abbr="elemẽta">elementa</expan>
              conica ſcripſiſſe? </s>
              <s id="N149AA">Obijciet verò aliquis,
                <lb/>
              non propterea conſtare, hęc elementa eonica, quorum me­
                <lb/>
              minit Archimedes, ipſiusmet eſſe Archimedis; cùm non affir
                <lb/>
              met, hæcfuiſſe ab ipſo demonſtrata. </s>
              <s id="N149B2">verùm illud in primis ma
                <lb/>
              nifeſtum eſt, tempore Archimedis conica elementa extitiſſe.
                <lb/>
              vt nonnulli Euclidem quatuor conicorum libros edidiſſe
                <expan abbr="af-firmãt">af­
                  <lb/>
                firmant</expan>
              ; ſicut Pappus in ſeptimo
                <expan abbr="Mathematicarũ">Mathematicarum</expan>
                <expan abbr="collectionuũ">collectionuum</expan>
                <lb/>
              libro aſſerit. </s>
              <s id="N149C8">Sed ex modo lo〈que〉ndi Archimedis planè
                <expan abbr="cõſtat">conſtat</expan>
                <lb/>
              hæc fuiſſe ab ipſo conſcripta. </s>
              <s id="N149D0">Nam quando Archimedes ali­
                <lb/>
              qua ſupponitab alijs demonſtrata,
                <expan abbr="tũc">tunc</expan>
              addere conſueuit, illa
                <lb/>
              ab alijs demonſtrata eſſe; vt in vndecima propoſitionedeco­
                <lb/>
              noidibus, & ſphæroidibus; cùm inquit.
                <emph type="italics"/>
              omnis coni ad conum pro­
                <lb/>
              portionem compoſitam eſſe ex proportione baſium, & proportione altitu­
                <lb/>
              dinum,
                <emph.end type="italics"/>
              quod quidem, quia ab alijs demonſtratum fuerat, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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