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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page |< < of 291 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="id002752">
                <pb pagenum="157" xlink:href="015/01/176.jpg"/>
              at uero cum in concauam partem incidit retineri neceſſe eſt: atque ita
                <lb/>
              pondus non amplius deſcendit, rota ſiſtitur, malleus manet immo­
                <lb/>
              bilis: ſpatia ergo quæ ſunt inter cauitates ſunt ſecundum magnitu­
                <lb/>
              dinem proportionis numerórum
                <expan abbr="horarũ">horarum</expan>
              , uel ad ſex, uel ad duode­
                <lb/>
              cim, uel ad uiginti ­
                <lb/>
                <figure id="id.015.01.176.1.jpg" xlink:href="015/01/176/1.jpg" number="182"/>
                <lb/>
              quatuor terminan­
                <lb/>
              tium. </s>
              <s id="id002753">Ita quod, gra­
                <lb/>
              tia exempli, ſit iam
                <lb/>
              in cauitate a duode­
                <lb/>
              cimę horæ uncus, di
                <lb/>
              uidam circulum to­
                <lb/>
              tum in duas partes
                <lb/>
              æquales, quia in ſin
                <lb/>
              gulis medietatibus
                <lb/>
              propoſitum eſt, duo
                <lb/>
              decim facere cauita­
                <lb/>
              tes pro unco retinen­
                <lb/>
              do. </s>
              <s id="id002754">Et quia in una­
                <lb/>
              quaque medietate o­
                <lb/>
              portet, ut pulſent ho
                <lb/>
              ræ lxxviij, & præterea ſint ibi ſex ſpatia cauitatum, quarum ſingulæ
                <lb/>
              contineant, gratia exempli, duo ſpatia unius ictus, ut certius retinea
                <lb/>
              tur uncus,
                <expan abbr="erũt">erunt</expan>
              igitur ſpatia omnia nonaginta: diuidemus ergo me­
                <lb/>
              dietatem circuli utranque in nonaginta partes æquales incipiendo
                <lb/>
              ab a, & dabimus b primæ horę quod ſpatium eſt unius tantum par
                <lb/>
              tis ex nonaginta, poſt deſcribemus c cauitatem duarum partium,
                <lb/>
              ita ubi ictum unum dederit uncus, retinebitur in c, pòſt accipiemus
                <lb/>
              duo ſpatia, & ſint ſignificata d litera, poſt quę faciemus cauitatem e:
                <lb/>
              & ita uncus bis cadet in d, & pulſabunt duo ictus, & pòſt retinebi­
                <lb/>
              tur uncus in e. </s>
              <s id="id002755">Et poſt accipiam ſpatium trium partium, quod ſit f,
                <lb/>
              & poſt deſcribam cauitatem g duarum partium, atque ita procedam
                <lb/>
              uſque ad duodecim.</s>
            </p>
            <p type="main">
              <s id="id002756">Ex quo manifeſtum eſt pondus quod agit rotam uolæ non de­</s>
            </p>
            <p type="main">
              <s id="id002757">
                <arrow.to.target n="marg525"/>
                <lb/>
              ſcendere, niſi dum horæ pulſant, ſecus quieſcere.</s>
            </p>
            <p type="margin">
              <s id="id002758">
                <margin.target id="marg525"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}. 1.</s>
            </p>
            <p type="main">
              <s id="id002759">Secundum, quòd deſcendit illud pondus plus & minus, iuxta
                <lb/>
                <arrow.to.target n="marg526"/>
                <lb/>
              proportionem numeri horarum, ita quod quando pulſabit una ho
                <lb/>
              ra parum ualde deſcendet, cum ſex horæ ſexcuplo magis, cum duo­
                <lb/>
              decim adhuc longè magis, id eſt duplo plus quàm cum pulſant
                <lb/>
              ſex horæ.</s>
            </p>
            <p type="margin">
              <s id="id002760">
                <margin.target id="marg526"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}. 2.</s>
            </p>
            <p type="main">
              <s id="id002761">Secunda conſtructio hanc habet rationem: Cum n rota indicis
                <lb/>
              coniuncta fuerit rotæ, quæ transfert malleum, neceſſe eſt ut unà </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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