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="id001523">
                <pb pagenum="83" xlink:href="015/01/102.jpg"/>
              qui ſit gratia exempli g h, cuius medium proportione ſit k, di­
                <lb/>
              co k conſiſtere propiorem f, quàm b, etiamſi æqualiter mouere­
                <lb/>
              tur. </s>
              <s id="id001524">Primum quòd in tota g f declinat, & totus motus eſt lentior,
                <lb/>
              quàm in tota b g, & tamen tardatur tantundem, ergo per commu­
                <lb/>
              nem animi ſententiam, k eſt propior f, quàm b. </s>
              <s id="id001525">Secundò, quia per
                <lb/>
              ſecundum ſuppo ſitum motus a uerſus f, continuè fit lentior, igitur
                <lb/>
              per communem animi ſententiam multò longius eſt tempus mo­
                <lb/>
              tus a k, quam f, & tanto maius ſpatium. </s>
              <s id="id001526">Tertiò, quia motus ex b uer
                <lb/>
              ſus c augetur, & ſi eſſet æqualis adhuc multò eſſet breuior k f quam
                <lb/>
              a k, igitur multò magis hoc modo, & triplicata ratione. </s>
              <s id="id001527">Si ergo b k
                <lb/>
                <figure id="id.015.01.102.1.jpg" xlink:href="015/01/102/1.jpg" number="96"/>
                <lb/>
              eſſet ſexquiquarta ſolum ipſi k f,
                <lb/>
              erit b k dupla: fermè ex triplicata
                <lb/>
              ratione ipſi k f, & iuxta eundem
                <lb/>
              modum ponemus mediam uim
                <lb/>
              xlvi paſsibus à ſcorpione a quam
                <lb/>
              & hoc modo erit propè id quod eſt.</s>
            </p>
            <p type="head">
              <s id="id001528">SCHOLIVM.</s>
            </p>
            <p type="main">
              <s id="id001529">Dubitat autem Philoſophus in mechanicis quæ nam uis ſit, quę
                <lb/>
              moueat lapidem iam excuſſum? </s>
              <s id="id001530">& dubium non eſt quin ex parte ſit
                <lb/>
              aër motus tum ratione, quia mouetur ergo mouet, tum experimen
                <lb/>
              to, ut in fulminibus, & his quæ uento impelluntur, ut hypophyſis,
                <lb/>
              ſed in ſcorpionibus & arcubus & pilis id non ſufficere uidetur. </s>
              <s id="id001531">Ita­
                <lb/>
              que uelut & caliditas & frigiditas in corporibus natura contrarijs
                <lb/>
              aliquandiu manent, & agunt ita & uiolentos motus, idque Alexan­
                <lb/>
              der & Simplicius uolunt. </s>
              <s id="id001532">Inditio ſunt quòd mota & emiſſa ex lon­
                <lb/>
              gioribus machinis quan quam non aërem continentibus, nec in­
                <lb/>
              anibus tamen, longius eijciunt ſagittas & miſsilia, quoniam uis
                <lb/>
              illa firmius imprimitur, uelut etiam de lapidibus & ferro, quod di­
                <lb/>
              utius in igne moram traxit, aut continuè follibus ignitum eſt, nam
                <lb/>
              etiam tanto tardius refrigeratur unum quod que horum, & alia urit
                <lb/>
              & accendit calore illo externo, quanquam natura frigidum ſit: di­
                <lb/>
              cemus autem & de hoc ſuo loco.</s>
            </p>
            <p type="main">
              <s id="id001533">Propoſitio nonageſima prima.</s>
            </p>
            <p type="main">
              <s id="id001534">Proportionem grauis cubi, & ſphærici æqualium in accliui, &
                <lb/>
              deſcenſus eorum demonſtrare.</s>
            </p>
            <p type="main">
              <s id="id001535">Hic non pauca ſunt
                <expan abbr="cõſideranda">conſideranda</expan>
              : Primum
                <lb/>
                <figure id="id.015.01.102.2.jpg" xlink:href="015/01/102/2.jpg" number="97"/>
                <lb/>
              quòd hoc intelligi poteſt, uel de motibus at­
                <lb/>
              tractionis, uel impulſionis, uel inuerſionis.
                <lb/>
              </s>
              <s id="id001536">Secundum quod omne, quod impellitur ſuperiùs, tantundem gra­
                <lb/>
              uat attractum, quantum ad deſcenſum, ſi ſit rotundum, nam qua­
                <lb/>
              drata,
                <expan abbr="etiã">etiam</expan>
              alia non deſcendunt ſponte in decliui, & ſi ſit locus ualdè </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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