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>
            <pb pagenum="248" xlink:href="015/01/267.jpg"/>
            <p type="margin">
              <s id="id004260">
                <margin.target id="marg869"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id004261">Propoſitio ducenteſima decima ſeptima.</s>
            </p>
            <p type="main">
              <s id="id004262">Oculus uidet partem ſuperficiei Lunæ illuminatam à Sole per
                <lb/>
              radios reflexos à Solis corpore: nec tamen poteſt uidere imaginem
                <lb/>
              ipſius in Luna tanquam in ſpeculo.
                <lb/>
                <arrow.to.target n="marg870"/>
              </s>
            </p>
            <p type="margin">
              <s id="id004263">
                <margin.target id="marg870"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id004264">Quoniam per illos, ut
                <expan abbr="demõſtratum">demonſtratum</expan>
              eſt, poteſt uidere, & illi ſunt </s>
            </p>
            <p type="main">
              <s id="id004265">
                <arrow.to.target n="marg871"/>
                <lb/>
              robuſtiores, ergo per illos uidet, omnis enim operatio tribuitur di­
                <lb/>
              gniori cauſæ & potentiori. </s>
              <s id="id004266">Item, quoniam uidemus Lunam in no­
                <lb/>
              cte immittere radios per feneſtram uelut Sol: irradiare autem non
                <lb/>
              eſt niſi habentis tantum lumen ex ſe, ut hoc poſsit facere, aut ut ſpar
                <lb/>
              gantur, aut ut reflectantur: ex ſe tantum non habet ut adparet hora
                <lb/>
              deliquij: neque ſpargit, ſic enim non impediret Solem hora deliquij,
                <lb/>
              Solis ergo reflectis. </s>
              <s id="id004267">Ergo uidemus per radios reflexos. </s>
              <s id="id004268">Non
                <expan abbr="tamẽ">tamen</expan>
                <lb/>
              per eam uidemus Solem, ut in ſpeculo obiecto, quoniam Luna pri
                <lb/>
                <expan abbr="mũ">mum</expan>
              lucet proprio lumine, & rubro ſicut pruna, quod autem debet
                <lb/>
              fungi uice ſpeculi, oportet ut careat colore, & ſit uelut aqua, & ut ſit
                <lb/>
              purum. </s>
              <s id="id004269">Deinde, quia Sol eſt maior Luna, ideò uidetur ut paries in
                <lb/>
              ſpeculo, uidetur enim non res reflexa, ſed quod ipſum ſpeculum ſit
                <lb/>
              paries, & ita Sol uidetur, ut totum quoddam, & non poteſt ob id
                <lb/>
              cognoſci. </s>
              <s id="id004270">Et etiam magnitudo luminis per quam oculus non po­
                <lb/>
              teſt diſtinguere Lunam ab imagine Solis: nam ea his quæ perſpe­
                <lb/>
              culum uidentur, oportet duo cognoſcere, ſpeculum, & rem quæ ui
                <lb/>
              detur, ſed magnitudo luminis prohibet ſpeculum uideri, ergo non
                <lb/>
              poterit uideri aliud tanquam in ſpeculo, ſed ſolum ſpeculum cum
                <lb/>
              lumine tanquam res una. </s>
              <s id="id004271">Et ita de Luna. </s>
              <s id="id004272">Accedit magnitudo di­
                <lb/>
              ſtantiæ: nam in ſuperflua diſtantia non cognoſcitur ſuperficies ſpe­
                <lb/>
              culi, ſed ſolum rei obiectæ imago, & illa habetur pro ſuperficie ſpe­
                <lb/>
              culi, ergo oculus non diſtinguit inter ſpeculum, & rem uiſam, ideò
                <lb/>
              non uidet tanquam è ſpeculo. </s>
              <s id="id004273">Ex quo ſequitur, quod Luna iudica­
                <lb/>
              bitur longiùs abeſſe quàm abſit, quia quod uidemus ex ea eſt So­
                <lb/>
              lis imago, quæ longius multo abeſt à nobis ipſa Lunæ ſuperficie.
                <lb/>
              </s>
              <s id="id004274">Cum ergo ſint quatuor cauſæ, quarum unaquæque impedire poſſet,
                <lb/>
              quominus Sol non uideatur in Luna tanquàm in ſpeculo, quanto
                <lb/>
              magis cùm omnes adſint in Luna, & ſimul concurrant.</s>
            </p>
            <p type="margin">
              <s id="id004275">
                <margin.target id="marg871"/>
              I
                <emph type="italics"/>
              n præceden
                <lb/>
              ti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="id004276">Propoſitio ducenteſima decima octaua.</s>
            </p>
            <p type="main">
              <s id="id004277">Rationem maculæ Lunæ indagare.
                <lb/>
                <arrow.to.target n="marg872"/>
              </s>
            </p>
            <p type="margin">
              <s id="id004278">
                <margin.target id="marg872"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id004279">Supponamus primum quæ ſunt manifeſta, inde addamus quæ
                <lb/>
              ſunt ueriſimilia ualde, poſt ueriſimiliora ex dubijs, ubi ratio utrinque
                <lb/>
              pugnare uidetur, demum dicemus de quæſito. </s>
              <s id="id004280">Manifeſtum eſt igi­
                <lb/>
              tur, quod Luna diſtat à nobis circiter <20> X MP. dimetiens igitur or
                <lb/>
              bis Lunæ eſt circiter CCC<18><18> MP. igitur ambitus <21>MP. igitur in hora </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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