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="id004538">
                <pb pagenum="269" xlink:href="015/01/288.jpg"/>
              remota eſt triangulo: ſiquidem circulus capaciſsimus eſt, triangu­
                <lb/>
              lus omnium rectilin
                <expan abbr="earũ">earum</expan>
              minimè capax: ut contrà polygonię, quan
                <lb/>
              to plurium ſunt laterum eo capaciores ſunt, adeò ut octagona qua­
                <lb/>
              drangula, & quæ eſt ſexdecim laterum æqualium, & æquiangula­
                <lb/>
              rium plus contineat octagona, & forma etiam ſit ſimilior circulo,
                <lb/>
              adeò ut cum excreuerit in multiplicem numerum rectangula figu­
                <lb/>
              ra huiuſmodi, ſcilicet æquilatera, & æquiangula omnino ſenſum
                <lb/>
              fallat, uideaturque prorſus circulus. </s>
              <s id="id004539">Et
                <expan abbr="tamẽ">tamen</expan>
              figura plurium laterum,
                <lb/>
                <expan abbr="quãto">quanto</expan>
              plurium laterum fuerit rem otior eſt à natura circuli, qui una
                <lb/>
              tantum linea continetur: plus enim diſtat centum ab uno quàm de­
                <lb/>
              cem, & mille quàm centum. </s>
              <s id="id004540">Cauſa igitur eſt, quia (ut dixi) etiam in
                <lb/>
              naturalibus omnis natura rerum eſt, ut quaſi clanculum redeat in
                <lb/>
              ſe ipſam: nam circularis figura per triangulum ex rectis multum à
                <lb/>
              natura ſua recedit & ambitu & ſimilitudine: eadem per figuras quę
                <lb/>
              ex pluribus rectis conſtant ad ſui ſimilitudinem redit, nunquàm ta
                <lb/>
              men explet eandem naturam perfectè, cùm nulla poligonya figura
                <lb/>
              pro circulo exacto ſit: ita uidetur in naturalibus ad
                <expan abbr="idẽ">idem</expan>
              redire, quod
                <lb/>
              eſt poteſtate ſolum quadam generali diſsimile: actu uerò non idem
                <lb/>
              ad unguem. </s>
              <s id="id004541">Sed obijcies de motu quòd ſi tempus fiat breuius, ma­
                <lb/>
              gnitudo autem conſtet, erit (ut diximus) quod mouetur ſimile quie
                <lb/>
              ſcenti: at ubi tempus idem ſit, ſed magnitudo perpetuò augeatur,
                <lb/>
              non idem ut in cœlo: ueriſimile eſt enim quicquid eſt quod moue­
                <lb/>
              tur ulterius quam id quod cernitur nihilominus in uiginti quatu­
                <lb/>
              or horis, non autem celerius moueri: propterea cùm ſpatium tem­
                <lb/>
              poris prolixum ſit, non uidebitur quieſcere. </s>
              <s id="id004542">Nec obſtat quòd quiſ­
                <lb/>
              piam proportionem obijciat, ſi quidem multo minus uidebuntur
                <lb/>
              propiora centro quieſcere, namque illa tardius ex confeſſo mouen­
                <lb/>
              tur, at quod tardius mouetur, ut dictum eſt, moueri magis uidetur,
                <lb/>
              ideò proportionem illam ad aliud mobile referre oporteret, cum
                <lb/>
              nullum tale ſit. </s>
              <s id="id004543">Dicimus ergo quòd apud illas non uidetur motus
                <lb/>
              tardus, quia comprehendunt motum ante tempus, nobis
                <expan abbr="autẽ">autem</expan>
              hæc
                <lb/>
              accidunt, quia comprehendimus tempus ante motum. </s>
              <s id="id004544">Et
                <expan abbr="etiã">etiam</expan>
              quia
                <lb/>
              circa polos quaſi quieſcit, & quod non poteſt aliquid comprehen­
                <lb/>
              di, ſimul moueri & quieſcere, ut docebimus. </s>
              <s id="id004545">Et etiam quia motus
                <lb/>
              eſt ab illis, ſicut in nobis cum mouemur:
                <expan abbr="nõ">non</expan>
              enim ut mouemur nos
                <lb/>
              moueri deprehendimus, ſed ut moti ideò in his, non quod appa­
                <lb/>
              ret, ſed quod eſt ſpectare oportet: at ita eſt ut quæ uelociter ualde
                <lb/>
              mouentur, perinde ſunt quaſi ac ſi quieſcerent, adeò ut motus ſi in
                <lb/>
              inſtanti fieret eſſet quies, & quies in incorporeis eſt motus, non in
                <lb/>
              tempore. </s>
              <s id="id004546">Videntur etiam aſtra quieſcere nobis, quoniam (ut dixi)
                <lb/>
              lineæ a e & b e non poſſunt uideri moueri in e, oculus autem </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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