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="80" xlink:href="015/01/099.jpg"/>
            <p type="main">
              <s id="id001483">
                <arrow.to.target n="marg307"/>
              </s>
            </p>
            <p type="margin">
              <s id="id001484">
                <margin.target id="marg307"/>
              C
                <emph type="italics"/>
              om.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="id001485">Et quoniam motus naturales fiunt in tempore: & dicuntur ue­
                <lb/>
              lociores, uel ob ſpatium loci magnum, quod ſuperatur, uel ob tem
                <lb/>
              poris breuitatem in uelociſsimis motibus, quod ad ſpatia attinet,
                <lb/>
              facilius dignoſcuntur uelociores, quoniam ſpatium maius & ma­
                <lb/>
              net, ut menſurari commodè poſsit: ſed quòd ad tempus, quanto tar
                <lb/>
              diores, quoniam in uelo cibus quantitas temporis eſt exigua: & e­
                <lb/>
              tiam tempus ipſum perpetuò diffluit: ideò difficillimè deprehendi
                <lb/>
              poteſt. </s>
              <s id="id001486">Huius cauſa excogitauimus inſtrumentum, quod uo caui­
                <lb/>
              mus Acolingen: quod conſtat tribus rotis: prima eſt pedum duo­
                <lb/>
              decim diametri, in ambitu autem habet denticulos ccclx æqua­
                <lb/>
              les, & æqualiter inter ſe diſtantes, huius peripheriæ funis cum pon­
                <lb/>
              deribus inſeritur, ita ut cum alijs duabus rotis renitentibus in una
                <lb/>
              hora circumagatur æqualiter. </s>
              <s id="id001487">Duodecim ex his denticulis curru­
                <lb/>
              lis duodecim denticulorum axis ſecundæ rotæ inſeritur: ſic ut cum
                <lb/>
              rota magna duodecim conuerſa fuerit partibus, ſecunda rota cu­
                <lb/>
              ius axis ſit pedum duorum, ſcilicet ſexcuplo maior circumuerta­
                <lb/>
              tur. </s>
              <s id="id001488">Huius minoris ambitus diuiſus ſit in cxx partes æquales, &
                <lb/>
              unicuique parti denticulus inſertus ſit: ita hæc rota tricies in una
                <lb/>
              hora conuertetur. </s>
              <s id="id001489">Singulis uerò denticulis currulis axis rotæ ha­
                <lb/>
              bentis denticulos quatuor inſeratur, ita ut dum ſecunda rota uer­
                <lb/>
              titur ſemel minima circumuertatur tricies: nam pro ſingulis qua­
                <lb/>
              tuor denticulis, quibus media rota circumagetur, minima tota cir­
                <lb/>
              cumuertetur, ideoqúe nongenties in una hora. </s>
              <s id="id001490">Hæc minima ro­
                <lb/>
              tula beſſem pedis in dimetiente habebit, ut ſit ſexta pars illius, in
                <lb/>
              ambitu autem diuiſa erit in xl partes, ut cum circumuerſa fue­
                <lb/>
              rit nongenties in una hora pertranſierit partes xxxvi. </s>
              <s id="id001491">Et cum
                <lb/>
              pulſus hominis communis ſint in hora <23>, uel circa nouem partes
                <lb/>
              ex his rotę minoris perficient circiter unam pulſationem ex diaſto­
                <lb/>
              le & ſiſtole, ſeu ex diſtentione & contractione perfectam: ut partis
                <lb/>
              unius conuerſio fiat in nona parte, uel circa unius pulſationis pul­
                <lb/>
              ſus humani: & hoc eſt minimum fermè, quod ab humano ſen­
                <lb/>
              ſu percipi poſsit. </s>
              <s id="id001492">Erit etiam proportio rotarum eadem tam in dia­
                <lb/>
              metris, quàm circuitibus ſcilicet ſexcupla, neque motus diffor­
                <lb/>
              mis, quoniam maior tanto tardius mouebitur, quanto quod ue­
                <lb/>
              locius mouetur etiam minus erit, tamen proportio uelo citatis ma­
                <lb/>
              ioris ad minorem in æqualibus ſpatijs uigintiquincupla, ut ma­
                <lb/>
              ioris ad mediam quintupla, nam cum ſit ſexcupla in ambitu,
                <lb/>
              & tricies moueatur uelocius comparatione totius, ſequitur, ut
                <lb/>
              proportio ſpatij, quod ſuperabit media ad ſpatium, quod ſu­
                <lb/>
              perabit maior in eiſdem temporibus, erit quintupla, ſemper ad un­
                <lb/>
              guem. </s>
              <s id="id001493">Et ita mediæ ad minorem quintupla, & ideò maioris ad </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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