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="id001493">
                <pb pagenum="81" xlink:href="015/01/100.jpg"/>
              minorem uelo citas uiginti quincupla, ut non ſit difformis, neque
                <lb/>
              periculoſa, ut in rotis moletrinis, & ſit diuiſa per medium iuxta
                <lb/>
              proportionem, cum ſit tanto uelocior minor media, quanto media
                <lb/>
              maiore. </s>
              <s id="id001494">Rurſus proportio partium maioris ad mediæ partes tripla
                <lb/>
              eſt ſcilicet ccclx ad cxx, & mediæ ad
                <expan abbr="minorẽ">minorem</expan>
              tripla cxx ad xl, & pro­
                <lb/>
              portio eſt ſexcupla, iterum igitur partes maioris ad mediam, & me­
                <lb/>
              diæ ad minorem erunt in dupla proportione, utrobique, & eſt pul­
                <lb/>
              chrum. </s>
              <s id="id001495">Ideò partes etiam minimæ rotæ erunt ſatis magnæ: nam
                <lb/>
              cum diameter ſit bes pedis, ambitus peripheriæ erit duorum pe­
                <lb/>
              dum. </s>
              <s id="id001496">1. unciarum uiginti quatuor: igitur diuiſa peripheria in xl par­
                <lb/>
              te r, unaquæque pars erit maior dimidia uncia.</s>
            </p>
            <p type="head">
              <s id="id001497">SCHOLIVM.</s>
            </p>
            <p type="main">
              <s id="id001498">Et cum defuerit inſtrumentum, utemur menſura expulſu homi­
                <lb/>
              nis deſumpta, ſed non eſt adeò exacta. </s>
              <s id="id001499">Accedit aliud commodum,
                <lb/>
              quòd cum in una hora circumuertantur partes xxxvi, id eſt triginta
                <lb/>
              ſex mille: & octauus orbis circumuertatur in totidem annis, tot
                <lb/>
              erunt momenta ex his in una hora, quot anni in uno circuitu ſtella­
                <lb/>
              rum fixarum. </s>
              <s id="id001500">Vt intelligamus, quàm breui tranſit una hora apud
                <lb/>
              nos, ita apud Deum, ut ita dicam (nam nulla in infinito proportio)
                <lb/>
              unus annus magnus, & reditus rerum omnium. </s>
              <s id="id001501">Comparata etiam
                <lb/>
              rota minima ad rotam moletrini ſic ſe habet, quòd cùm modica ad­
                <lb/>
              eſt, uerſatur rota in una pulſatione: cum ſatis abundans quinquies,
                <lb/>
              aut ſexies cum immodica duo decies.</s>
            </p>
            <figure id="id.015.01.100.1.jpg" xlink:href="015/01/100/1.jpg" number="95"/>
          </chap>
        </body>
      </text>
    </archimedes>
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