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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            <p type="main">
              <s id="id001323">
                <pb pagenum="70" xlink:href="015/01/089.jpg"/>
              uim uenti, & uiæ longitudinem, angulus uerò h c a ſit ſexta re­
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              cti pars, feretur ex c uerſus a ad quantitatem b a in quatuorde­
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              cim horis: igitur rurſus quanta eſt proportio c a ad b a tan­
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              tum eſt temporis, in quo fertur ex c ad a ad quatuor decim horas
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              per uentum b a.</s>
            </p>
            <p type="margin">
              <s id="id001324">
                <margin.target id="marg280"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="margin">
              <s id="id001325">
                <margin.target id="marg281"/>
              Q
                <emph type="italics"/>
              uæſt.
                <emph.end type="italics"/>
              7. M
                <emph type="italics"/>
              echanica.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="id001326">Propoſitio octuageſima prima.</s>
            </p>
            <p type="main">
              <s id="id001327">Qualis ſit angulus, per quem poteſt moueri nauis ad rectum
                <lb/>
              explorare.
                <lb/>
                <arrow.to.target n="marg282"/>
              </s>
            </p>
            <p type="margin">
              <s id="id001328">
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              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id001329">Cum in præcedenti propoſitione oſtenſum ſit angulum k c a
                <lb/>
              oportere eſſe æqualem angulo h c a, ut feratur, c in a uento c h, nec
                <lb/>
              tamen prorſus, ſed temo magis inflectit uerſus k quam uentus co­
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              git uerſus h: ſicut contra maiori ui uentus dirigit ad h, quàm temo
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              ad k, ut neceſſe ſit nauim flecti ad k pondere, ideo ſi uentus eſſet
                <lb/>
              tranſuerſus periclitaretur, neceſſe eſt, ut per omnes uentos, qui fe­
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              runt ab ea, quæ ad perpendiculum ſuper c a, & ſunt quatuor decim:
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              ſed quoniam, ut dixi, pondere adiuuante uis uenti minor fit, neceſ­
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              ſe eſt, ut per uentos debiliores feratur magis ab extremis, qui pro­
                <lb/>
              pe perpendiculum ſunt: ita ut numerus omnium ſit, cum leuiſsimi
                <lb/>
              fuerint, quatuor decim, cum uiolentiſsimi, tres tantum proprius, &
                <lb/>
              qui diſtant trigeſima ſecunda parte totius circuli, id eſt partibus un
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              decimi, cum quarta reliqui undecim, medij ſunt: ut tanto plures aſ­
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              ſumi poſsint à Nauclero, quanto molliores ſunt uenti, tanto pau­
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              ciores, quo uiolentiores. </s>
              <s id="id001330">Tutius autem fuerit in ualidis uentis diri­
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              gere nauim per uentum proximiorem, quam per ipſummet, qui re­</s>
            </p>
            <p type="main">
              <s id="id001331">
                <arrow.to.target n="marg283"/>
                <lb/>
              ctè tendit ad locum. </s>
              <s id="id001332">Veluti tendat nauis ex a in b, uentus tendat in
                <lb/>
              c ualidior, cumque magnus fuerit angulus c a b, ut potè dodrans to­
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              tius recti, ut eſſet temo dirigendus ad ſextum uentum altrinſecus di
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              rigemus ſolum ad quintum, ut feratur in d, & hoc erit tanto cele­
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              rius, & celerius feratur per a d & d b, quàm ſi nauis recta lata eſſet
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              ex a in b. </s>
              <s id="id001333">inſuper tutius.</s>
            </p>
            <p type="margin">
              <s id="id001334">
                <margin.target id="marg283"/>
              P
                <emph type="italics"/>
              ropoſ.
                <emph.end type="italics"/>
              83</s>
            </p>
            <p type="main">
              <s id="id001335">Propoſitio octuageſimaſecunda.</s>
            </p>
            <p type="main">
              <s id="id001336">Proportionem uelorum indagare.
                <lb/>
                <arrow.to.target n="marg284"/>
              </s>
            </p>
            <p type="margin">
              <s id="id001337">
                <margin.target id="marg284"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id001338">Vela tribus in locis diſponi ſolent dolo b, quod in prora con­
                <lb/>
              ſtituitur, & in malo, qui ponitur in medio ratione, quæ inferius
                <lb/>
              oſtendetur, ſed non ad unguem, quia cum malus in anteriorem
                <lb/>
              partem à uento impellatur, ſi eſſet in medio, ſemper præmeretur
                <lb/>
              nauis in anteriorem partem, ex quo duo magna incommoda ſeque
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              rentur: primùm ut periculum ſubiret, ne inuerſa in anteriorem </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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