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="N14A59">
                <pb xlink:href="077/01/127.jpg" pagenum="123"/>
              〈que〉 nouiſſe ſubcontrariam; quæ cùm ſit baſi ſubcontraiſè po
                <lb/>
              ſita,
                <expan abbr="oĩa">oina</expan>
              latera coni ſecat; &
                <expan abbr="tñ">tnm</expan>
                <expan abbr="nō">non</expan>
              eſt ellipſis, ſed
                <arrow.to.target n="marg200"/>
              qua­
                <lb/>
              propter ſi in omnibus conis ellipſis nouit ſectionem; cur in i­
                <lb/>
              pſis, & parabolas, & hyperbolas minùs animaduertit? </s>
              <s id="N14A96">cùm
                <lb/>
              ſit manifeſtum ex dictis in cono obtuſiangulo &
                <expan abbr="hyperbolẽ">hyperbolem</expan>
                <lb/>
              & ellipſim; in rectangulo autem parabolem, ellipſimquè co­
                <lb/>
              gnouiſſe? </s>
              <s id="N14AA2">hòc certè non eſt aſſerendum. </s>
              <s id="N14AA4">Ex hoc enim perſpi­
                <lb/>
              cuum eſt Archimedem cognouiſſe conos ſecari poſſe planis,
                <lb/>
              quæ non ſint ſemper ad coni latus erecta. </s>
              <s id="N14AAA">dormitaſſequè Eu­
                <lb/>
              tocium Geminum, & alios ſecus hac in parte de Archimede
                <lb/>
              ſentientes. </s>
              <s id="N14AB0">Ampliùs
                <expan abbr="nõ">non</expan>
              ne cognouit etiam Archimedes ſeca­
                <lb/>
              ri poſſe rectangulos conoides, itidemquè &
                <expan abbr="obtuſiãgulos">obtuſiangulos</expan>
              pla
                <lb/>
              nis, quæ ne〈que〉 ſint per axem ducta, ne〈que〉 axi æquidiſtantia;
                <lb/>
              ne〈que〉 ſuper axem erecta. </s>
              <s id="N14AC0">vt in duodecima, decimatertia, &
                <lb/>
              decima quarta propoſitione eiuſdem libri patet. </s>
              <s id="N14AC4">quomodo i­
                <lb/>
              ta〈que〉 his quo〈que〉 modis 〈que〉mlibet conum ſecari poſſe igno­
                <lb/>
              rauit? </s>
              <s id="N14ACA">Non eſt igitur ambigendum Archimedem cognouiſ­
                <lb/>
              ſe conos ſecari poſſe planis ad latus coni differentem inclina­
                <lb/>
              tionem habentibus. </s>
              <s id="N14AD0">Ex quibus perſpicuum eſt, ipſum in om­
                <lb/>
              nibus conis omnes ineſſe ſectiones omnino animaduertiſſe.
                <lb/>
              At ſi concedamus etiam ſua tempeſtate nondum ſectioni­
                <lb/>
              bus ipſis propria fuiſſe impoſita nomina; tam eam parabo­
                <lb/>
              lem, quæ erat rectanguli coni ſectio; quàm quæ erat ſectio
                <lb/>
              alterius coni, cùm ſit eadem ſectio, eodem nomine nuncu­
                <lb/>
              pabat; nempè rectanguli coni ſectionem. </s>
              <s id="N14ADE">Et hoc, quia
                <lb/>
              priùs hæc ſectio cognita ſuit in cono rectangulo (vnde ſi­
                <lb/>
              bi nomen vindicauit) quam in alio. </s>
              <s id="N14AE4">quod idem dicen­
                <lb/>
              dum eſt de alijs ſectionibus. </s>
              <s id="N14AE8">Vt manifeſtum eſſe poteſt
                <lb/>
              exemplo ſectionis acutianguli coni. </s>
              <s id="N14AEC">Archimedes enim eo­
                <lb/>
              dem loco, anteprimam ſcilicet propoſitionem de conoidi
                <lb/>
              bus, & ſphęroidibus inquit,
                <emph type="italics"/>
              Si cylindrus duobus planis æquidi­
                <lb/>
              stantibus ſecetur; quæ cum omnibus ipſius lateribus coeant, ſectio­
                <lb/>
              nes, uelerunt circuli; uel conorum acutiangulorum ſectiones.
                <emph.end type="italics"/>
              vo­
                <lb/>
              catigitur Archimedes acutianguli coni ſectionem, tam coni
                <lb/>
                <expan abbr="ſectionẽ">ſectionem</expan>
              , quàm
                <expan abbr="ſectionẽ">ſectionem</expan>
              cylindri. </s>
              <s id="N14B07">veluti
                <expan abbr="etiã">etiam</expan>
              in decimatertia,
                <lb/>
              & decimaquarta propoſitione
                <expan abbr="eiuſdē">eiuſdem</expan>
              libri
                <expan abbr="acutiãguli">acutianguli</expan>
              coni ſe­
                <lb/>
              ctio ab ipſo ea
                <expan abbr="nūcupatur">nuncupatur</expan>
              ſectio, quæ
                <expan abbr="oīa">oina</expan>
              latera tam conoidis </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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