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="id002124">
                <pb pagenum="118" xlink:href="015/01/137.jpg"/>
              ſores ſæpe muneris ſui obliuiſcuntur, deſertaque ea parte liberum
                <lb/>
              ingreſſum hoſtibus exhibent. </s>
              <s id="id002125">Tum uerò magis, quod non confi­
                <lb/>
              dunt animo
                <expan abbr="nõ">non</expan>
              ad id parato, poſſe aggerem ſufficientem, & in tam
                <lb/>
              breui tempore exſtruere, & etiam intelligunt, antequam erigatur,
                <lb/>
              patere à lateribus introitum hoſtibus.</s>
            </p>
            <p type="margin">
              <s id="id002126">
                <margin.target id="marg411"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id002127">Propoſitio centeſimauigeſima.</s>
            </p>
            <p type="main">
              <s id="id002128">Proportionem partium nauis ad eundem obliquum uentum
                <lb/>
              explorare.
                <lb/>
                <arrow.to.target n="marg412"/>
              </s>
            </p>
            <p type="margin">
              <s id="id002129">
                <margin.target id="marg412"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id002130">Sint mali in naui a b c, ad b e, c f uentus è regione g h k etiam ad
                <lb/>
              perpendiculum feratur, ut anguli g d a, h e b, k f c ſint æquales, dico
                <lb/>
              tamen diuerſo modo affici: nam cum premitur a uerſus l, c premi­
                <lb/>
              tur uerſus f: at ſi prematur c uerſus n a, premitur uerſus d, at ſi pre­
                <lb/>
                <figure id="id.015.01.137.1.jpg" xlink:href="015/01/137/1.jpg" number="130"/>
                <lb/>
              matur b uerſus m, & a uer­
                <lb/>
              ſus l, ſed non quantum ex
                <lb/>
              g d, & c uerſus n, ſed non
                <lb/>
              quantum ex k f, ab eodem
                <lb/>
              ergo uento contrarij mo­
                <lb/>
              tus efficiuntur ex uelorum
                <lb/>
              diuerſitate, etenim per uen
                <lb/>
              tum d feretur ad meridiem
                <lb/>
              nauis, & per uelum f ad Se
                <lb/>
              ptentrionem etiam didu­
                <lb/>
              cto auxilio e l a ui, quanto
                <lb/>
              magis cum illo: & ſi uen­
                <lb/>
              tus excipiatur in f uelo,
                <lb/>
              non iuuabit clauus, & ſi in
                <lb/>
              d dirigetur, & temperabitur motus, & ſi in e medio modo. </s>
              <s id="id002131">Ergo ſi
                <lb/>
              uentus feratur rectè iuuabit, ut dici ſolet omnibus, & plenis uelis
                <lb/>
              excipere, ſi ex obliquo demittere antennam puppis, ſin autem ual­
                <lb/>
              de obliquus ſit, ſolo proræ uelo utemur. </s>
              <s id="id002132">Si ualidior quàm oportet
                <lb/>
              humiliore. </s>
              <s id="id002133">Atque hæc poſtmodum ſunt diligenter numeranda, ac
                <lb/>
              metienda: nunc ſufficiat cauſam reddidiſſe, & admonuiſſe diuerſi­
                <lb/>
              tatis motuum, quæ ex uelis contingit: nam eò fertur nauis, quò
                <lb/>
              prora dirigitur. </s>
              <s id="id002134">Ergo cum puppis tanto feratur uerſus meridiem
                <lb/>
              a b, quanto prora uerſus meridiem a d, & quanto puppis fertur uer
                <lb/>
              ſus
                <expan abbr="meridiẽ">meridiem</expan>
              , tanto prora fertur uerſus boream, igitur quanto prora
                <lb/>
              fertur uerſus meridiem a d, tanto uerſus boream a b f, ſed ſitus claui
                <lb/>
              poteſt multo plus in comparatione ueli d, quam f ſcilicet, quia di­
                <lb/>
              ſtantia a b a eſt o a, & diſtantia e c eſt o c, tanto plus ergo poteſt cla­
                <lb/>
              ui ſitus in comparatione ad uelum d, quam f, quanta eſt proportio </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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