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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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="id001465">
                <pb pagenum="79" xlink:href="015/01/098.jpg"/>
              mus duo uaſa a b c d duplum h k l m ſub eadem proportione alti­
                <lb/>
              tudinis & latitudinis, & collocabimus ita ut p n radius æquidiſtet
                <lb/>
              f e, & collocabimus tabulas cum foraminibus, ut prius, & g f p q
                <lb/>
                <figure id="id.015.01.098.1.jpg" xlink:href="015/01/098/1.jpg" number="94"/>
                <lb/>
              in æquilibrio, in de uidebimus, an q p ſit æqualis aut breuior, nam
                <lb/>
              longior eſſe non poteſt, quoniam inflectitur a minore aqua, ideo
                <lb/>
              angulus p h q non poteſt eſſe maior f a g, ſuppoſita p h æquali a f:
                <lb/>
              quod ſi non eſſet, ſufficeret, ut q & p eſſent in æquilibrio uno, & f g
                <lb/>
              alio. </s>
              <s id="id001466">Sed ueritas eſt quod à maiore aqua maior fit reflexio: tum
                <lb/>
              quia in his, quæ ſunt ſecundum naturam corpoream, & ſubſtan­
                <lb/>
              tiam denſam, aut tenuem uarietas quantitatis uariat uires: tum
                <lb/>
              quia uidemus, quod in altiore aqua denarius uidetur magis cum
                <lb/>
              fundo elatus. </s>
              <s id="id001467">Igitur his cognitis experimentum fiat cum uaſe ple­
                <lb/>
              no. </s>
              <s id="id001468">Et (ut dixi) conſiderabimus proportionem anguli f a g ad far,
                <lb/>
              ſeu f e c quæ ſanè eſt notabilis: adeò ut ſit maior proportio aquæ ad
                <lb/>
              aërem comparatione grauium quàm lucis.</s>
            </p>
            <p type="main">
              <s id="id001469">
                <arrow.to.target n="marg304"/>
              </s>
            </p>
            <p type="margin">
              <s id="id001470">
                <margin.target id="marg304"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}. 1.</s>
            </p>
            <p type="main">
              <s id="id001471">Ex his cognoſcemus comparatione eiuſdem aquæ tenuitatem
                <lb/>
              aëris unius regionis in comparatione ad aërem alterius: nam ubi
                <lb/>
              remotius uidebitur denarius, ibi aër erit tenuior.</s>
            </p>
            <p type="main">
              <s id="id001472">
                <arrow.to.target n="marg305"/>
              </s>
            </p>
            <p type="margin">
              <s id="id001473">
                <margin.target id="marg305"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              _{m}. 2.</s>
            </p>
            <p type="main">
              <s id="id001474">Et per idem in eadem regione comparationem aquarum. </s>
              <s id="id001475">Nam
                <lb/>
              cum ſit idem aër, & uas, ac reliqua paria, ubi magis procul uidebi­
                <lb/>
              tur denarius, aqua erit craſsior ideò deterior.</s>
            </p>
            <p type="main">
              <s id="id001476">
                <arrow.to.target n="marg306"/>
              </s>
            </p>
            <p type="margin">
              <s id="id001477">
                <margin.target id="marg306"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}. 3.</s>
            </p>
            <p type="main">
              <s id="id001478">Sequitur etiam quòd omnes res propiores in aqua uidentur,
                <lb/>
              quam ſint, & ideò maiores: & ob id etiam omnis aqua profundior
                <lb/>
              eſt, quam uideatur. </s>
              <s id="id001479">Vt ingredi perſæpè ſit periculoſum.</s>
            </p>
            <p type="main">
              <s id="id001480">Propoſitio octuageſima octaua. </s>
              <s id="id001481">De inſtrumento
                <lb/>
              momentorum.</s>
            </p>
            <p type="main">
              <s id="id001482">Inſtrumentum Acolingen, quo momenta temporum deprehen
                <lb/>
              dantur fabricare.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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