Cardano, Geronimo, Opvs novvm de proportionibvs nvmerorvm, motvvm, pondervm, sonorvm, aliarvmqv'e rervm mensurandarum, non solùm geometrico more stabilitum, sed etiam uarijs experimentis & observationibus rerum in natura, solerti demonstratione illustratum, ad multiplices usus accommodatum, & in V libros digestum. Praeterea Artis Magnae, sive de regvlis algebraicis, liber vnvs abstrvsissimvs & inexhaustus planetotius Ariothmeticae thesaurus ... Item De Aliza Regvla Liber, hoc est, algebraicae logisticae suae, numeros recondita numerandi subtilitate, secundum Geometricas quantitates inquirentis ...

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      <text>
        <body>
          <chap>
            <p type="main">
              <s id="id003350">
                <pb pagenum="195" xlink:href="015/01/214.jpg"/>
              circuitus, inferior autem integrum. </s>
              <s id="id003351">Ergo orbis ſuperior tanto tar­
                <lb/>
              diùs mouetur ſole, quantum eſt id quod peragit polus ſine æquali
                <lb/>
              motu in orbe ſignorum, per motum circunducentis orbis ſuperio­
                <lb/>
              ris in tempore dimidij circuitus. </s>
              <s id="id003352">Inferior ergo cum moueatur du­
                <lb/>
              plo uelociùs ſuperiore, ut dictum eſt, igitur duplo uelocius ſole, ni­
                <lb/>
              ſi quantum eſt duplum motus poli ſuperioris per motum orbis
                <lb/>
              circunducentis.</s>
            </p>
            <p type="head">
              <s id="id003353">SCHOLIVM I.</s>
            </p>
            <p type="main">
              <s id="id003354">Intelligo autem per arcum retro ceſſus non ſolum illum quo pla­
                <lb/>
              neta retrocedit, nam hic eſt longè minor arcu proceſſus, ſed in quo
                <lb/>
              motus in æqualis eſt minor æquali, palam autem eſt hunc fore æ­
                <lb/>
              qualem arcui uelocioris motus quàm ſit motus æqualis.</s>
            </p>
            <p type="head">
              <s id="id003355">SCHOLIVM II.</s>
            </p>
            <p type="main">
              <s id="id003356">Cum ergo, dum erratica eſt in polo orbis ſuperioris, ibi quieſcat
                <lb/>
              motu eius, motu autem inferioris orbis uelociſsimè moueatur ſeu
                <lb/>
              progrediendo ſeu regrediendo motuque circulari, & tamen per re­
                <lb/>
              ctam lineam, igitur uideretur quòd motus circularis partes poſſet
                <lb/>
              tranſire in rectum. </s>
              <s id="id003357">Reſpondeo quòd ſufficit ſola inclinatio ob ma­
                <lb/>
              gnitudinem anguli: nam dum ſydus transfertur extra centrum mo­
                <lb/>
              tu orbis inferioris, mouetur uelociter quo ad angulum motu orbis
                <lb/>
              ſuperioris.</s>
            </p>
            <p type="main">
              <s id="id003358">Propoſitio centeſima ſeptuageſima quinta.</s>
            </p>
            <p type="main">
              <s id="id003359">Cauſam uarietatis diametrorum ex ſuppoſitis concentricis de­
                <lb/>
              monſtrare.</s>
            </p>
            <p type="main">
              <s id="id003360">In tribus ſuperioribus planetis & quibuſcunque ſtellis octaui or­</s>
            </p>
            <p type="main">
              <s id="id003361">
                <arrow.to.target n="marg621"/>
                <lb/>
              bis manifeſtum eſt, quòd pars quæ reſpicit nos quantò remotior
                <lb/>
              fuerit à Sole,
                <expan abbr="tãto">tanto</expan>
              magis illuminatur. </s>
              <s id="id003362">Manifeſtum eſt etiam & expe­
                <lb/>
              rimento & ratione, quòd illud quod magis lucet, & eſt
                <expan abbr="illuminatũ">illuminatum</expan>
                <lb/>
              à Sole in nocte, maius uidetur, ſicut etiam de facibus nocturnis. </s>
              <s id="id003363">Et
                <lb/>
              rurſus, quod ſub ſtantia orbium circa loca quæ habentur pro polis
                <lb/>
              eſt denſior, & quod res in medio denſo apparent maiores, ſicut de
                <lb/>
              piſcibus in aqua, denarijs & baculis. </s>
              <s id="id003364">Demonſtratum
                <expan abbr="aũt">aunt</expan>
              eſt in præ­
                <lb/>
              cedenti, quod quando ſtella fuerit in polo orbis ſuperioris, quòd
                <lb/>
              tunc maximè retrocedit, & ideò cum in tempore maximi retro ceſ­
                <lb/>
              ſus ſit in oppoſito Solis
                <expan abbr="dũ">dum</expan>
              tres ſuperiores ſunt in oppoſitu Solis,
                <lb/>
              multo maiores duabus ex cauſis eſſe uidentur, & iuxta proportio­
                <lb/>
              nem propinquitatis ad Solem commutant quantitatem & tanto
                <lb/>
              minores apparent, quia non poſſunt, commutare
                <expan abbr="formã">formam</expan>
              , uelut Lu­
                <lb/>
              na propter æqualitatem ſubſtantię & luminis proprij copiam, quę
                <lb/>
              non ſinit diſcerni uarietatem figurę. </s>
              <s id="id003365">In Luna autem ſecus eſt, nam in </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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