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="id000927">
                <pb pagenum="52" xlink:href="015/01/071.jpg"/>
              tis, ergo omne mobile deſcendit motu naturali per ſui grauio­
                <lb/>
              rem partem.
                <lb/>
                <arrow.to.target n="marg163"/>
              </s>
            </p>
            <p type="margin">
              <s id="id000928">
                <margin.target id="marg161"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="margin">
              <s id="id000929">
                <margin.target id="marg162"/>
              P
                <emph type="italics"/>
              er
                <emph.end type="italics"/>
              23.
                <emph type="italics"/>
              bu­ius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="id000930">
                <margin.target id="marg163"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id000931">Ex hoc ſequitur, quòd graue habens partes inæquales, ſeu ſub­
                <lb/>
              ſtantia, ſeu forma, ſi ita excutiatur, ut pars grauior
                <expan abbr="nõ">non</expan>
              ſit, infrà opor­
                <lb/>
              tet, ut circumuoluatur.</s>
            </p>
            <p type="main">
              <s id="id000932">Propoſitio ſexageſima prima.</s>
            </p>
            <p type="main">
              <s id="id000933">Proportionem ictus ad pondus rei, & diſtantiam generaliter
                <lb/>
              conſiderare.</s>
            </p>
            <p type="main">
              <s id="id000934">
                <arrow.to.target n="marg164"/>
              </s>
            </p>
            <p type="margin">
              <s id="id000935">
                <margin.target id="marg164"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id000936">Dictum eſt ſuperius de proportione deſcenſus ad grauitatem: </s>
            </p>
            <p type="main">
              <s id="id000937">
                <arrow.to.target n="marg165"/>
                <lb/>
              & quòd ſi graue deſcendat ex alto impeditur à motu aëris: & quòd
                <lb/>
                <arrow.to.target n="marg166"/>
                <lb/>
              res, quæ mouetur duobus motibus non ad idem tendentibus tar­
                <lb/>
                <arrow.to.target n="marg167"/>
                <lb/>
              dius mouetur, quam motus ſit unuſquiſque. </s>
              <s id="id000938">Demùm quòd graue
                <lb/>
                <arrow.to.target n="marg168"/>
                <lb/>
              deſcendens circumuoluitur, ſi pars grauior non ſit, deorſum: & an­
                <lb/>
              tea ubi egimus de proportione motus ad grauitatem, quod hęc in­
                <lb/>
              telligenda ſunt pro ut poſſunt intelligi de motu etiam uiolento.
                <lb/>
              </s>
              <s id="id000939">Cum ergo uideamus duo hæc, quod res acuta frangit caput, ſi ex
                <lb/>
              alto incidat, ſed non concutit, lata concutit, ſed non diuidit, premit
                <lb/>
              tamen carnem ſubiectam: nec hoc accidit merito ponderis: nam ut
                <lb/>
              uiſum eſt ſemilibra lapidis, uel ferri cadens ex alto contundit caput,
                <lb/>
              & uulnerat, & non eleuat in æquilibrio, ut potè ex alto cadens loco
                <lb/>
              per ſpatium octo palmorum pondus ſexdecim librarum, & a pon­
                <lb/>
              dere ſexdecim librarum homo non læditur, nec uulneratur, ergo id
                <lb/>
              accidit ex alia cauſa, & eſt, quod aër interceptus inter graue, & cor­
                <lb/>
              pus noſtrum non poteſt dilabi tam citò, ergo ne corpus penetret,
                <lb/>
              cogitur ingredi locum, cui eſt obuius, at que ita concutere, & diuide­
                <lb/>
              re. </s>
              <s id="id000940">Ex quibus ſequuntur omnia hæc.
                <lb/>
                <arrow.to.target n="marg169"/>
              </s>
            </p>
            <p type="margin">
              <s id="id000941">
                <margin.target id="marg165"/>
              P
                <emph type="italics"/>
              ropoſ.
                <emph.end type="italics"/>
              57.</s>
            </p>
            <p type="margin">
              <s id="id000942">
                <margin.target id="marg166"/>
              P
                <emph type="italics"/>
              ropoſ.
                <emph.end type="italics"/>
              58.</s>
            </p>
            <p type="margin">
              <s id="id000943">
                <margin.target id="marg167"/>
              P
                <emph type="italics"/>
              ropoſ.
                <emph.end type="italics"/>
              59.</s>
            </p>
            <p type="margin">
              <s id="id000944">
                <margin.target id="marg168"/>
              P
                <emph type="italics"/>
              ropoſ.
                <emph.end type="italics"/>
              60.</s>
            </p>
            <p type="margin">
              <s id="id000945">
                <margin.target id="marg169"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id000946">Primùm ſi quod incidit, molle fuerit, non uulneratur caput, uel
                <lb/>
              pars ſubiecta, quia reſilit in corpus molle: nec à molli, quia retundi­
                <lb/>
              tur, poteſt uulnerari: ergo nullo modo. </s>
              <s id="id000947">Sed neque adeò concutit,
                <lb/>
              quia aër rediens, & receptus in molli corpore pro parte, non uer­
                <lb/>
              berat locum.</s>
            </p>
            <p type="main">
              <s id="id000948">
                <arrow.to.target n="marg170"/>
              </s>
            </p>
            <p type="margin">
              <s id="id000949">
                <margin.target id="marg170"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id000950">Secundum in omni colliſione ſeu duri, ſeu mollis, ſed magis du­
                <lb/>
              ri, dilabuntur partes aëris ad latera, ideo quod partes mediæ pre­
                <lb/>
              muntur. </s>
              <s id="id000951">Et quanto motus eſt tardior.</s>
            </p>
            <p type="main">
              <s id="id000952">
                <arrow.to.target n="marg171"/>
              </s>
            </p>
            <p type="margin">
              <s id="id000953">
                <margin.target id="marg171"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id000954">Tertium in motu uelo ci fit maior ictus & læſio, & maiora omnia
                <lb/>
              quam pro proportione motus: quoniam ob uelo
                <expan abbr="citatẽ">citatem</expan>
              minus diffu
                <lb/>
              git aëris. </s>
              <s id="id000955">Et ideò fiunt grauia uulnera ex modico incremento uelo­
                <lb/>
              citatis motus.</s>
            </p>
            <p type="main">
              <s id="id000956">
                <arrow.to.target n="marg172"/>
              </s>
            </p>
            <p type="margin">
              <s id="id000957">
                <margin.target id="marg172"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id000958">Quartum res latæ, duræ concutiunt, & non uulnerant niſi ſint
                <lb/>
              cum magno impetu, aut ualde graues: acutæ autem uulnerant, ſed
                <lb/>
              non concutiunt, niſi parti acutæ lata ſuccedat.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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