Valerio, Luca, De centro gravitatis solidorum, 1604

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="043/01/010.jpg" pagenum="2"/>
              tus, quàm deterritus lapſu, vehementerque dolens geo­
                <lb/>
              metriæ partem tamdiu deſiderari cognitione digniſſimam;
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              cum ante exercitationis cauſa omnium, quæ propoſui ſoli­
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              dorum, excepto conoide parabolico, centra grauitatis aliis
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              viis indagaſſem; poſtea non ſolum parabolici, ſed ante me
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              tentata nemini, hyperbolici conoidis, & fruſti vtriuſque, &
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              portionis vtriuſque conoidis, & portionis fruſti, & hemi­
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              ſphærij, & hemiſphæroidis, & cuiuſlibet portionis ſphæ­
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              ræ, & ſphæroidis vno, & duobus planis parallelis abſciſſæ
                <lb/>
                <expan abbr="cẽtra">centra</expan>
              grauitatis adinueni, multa autem ex his duplici, quæ­
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              dam triplici via. </s>
              <s>Taceo nunc alia eiuſdem generis, quæ
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              cum vtilia, tum geometriæ ſtudioſis non iniucunda, vt arbi­
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              tror, futura in poſteriores libros diſtribuimus. </s>
              <s>Quòd autem
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              aliquot propoſitiones, alias Archimedis lemmaticas, alias
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              Commandini meis rationibus attuli demonſtratas; non tàm
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              idcirco id fcci, ne meæ lucubrationes
                <expan abbr="deperirẽt">deperirent</expan>
              , quàm quòd
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              vel ſtylo Euclidis magis conſonæ, vel ad percipiendum eo
                <lb/>
              minus laborioſæ, quo ad inueniendum ſunt difficiliores,
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              vel meo propoſito aptiores viderentur. </s>
              <s>Earum propoſitio­
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              num, Archimedis duo ſunt in primo libro, decimaquarta,
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              & ſeptima, & ſecunda pars vigeſimæ; in ſecundo autem vna.
                <lb/>
              </s>
              <s>Omne conoides parabolicum ſeſquialterum eſſe coni ean­
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              dem baſim, & eandem altitudinem habentis. </s>
              <s>Comman­
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              dini autem omnes in primo libro nouem; vigeſima tertia, &
                <lb/>
              quinta: trigeſima ſecunda, tertia, quarta, ſeptima, & nona:
                <lb/>
              quadrageſima prima, & ſecunda. </s>
              <s>Sed multa hic noua inue­
                <lb/>
              nies ita ad præſens inſtitutum neceſſaria, vt per ſe
                <expan abbr="tamẽ">tamen</expan>
              ipſa
                <lb/>
              in geometria locum habere debeant, maxime verò tres pri­
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              mæ ſecundi libri propoſitiones, quippe quibus magnam, ac
                <lb/>
              perdifficilem geometriæ partem demonſtratione recta, &
                <lb/>
              generali ad viam regiam redactam eſse intelliges. </s>
              <s>Ita Deus
                <lb/>
              Opt. Max. cuius auxilio hæc feci, quibus prodeſse alicui
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              vehementer cupio, reliquis meis conatibus opem ferat. </s>
              <s>Sed
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              ad definitiones accedamus. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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