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>
            <pb pagenum="66" xlink:href="015/01/085.jpg"/>
            <p type="margin">
              <s id="id001263">
                <margin.target id="marg269"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id001264">Propoſitio ſeptuageſima ſexta.</s>
            </p>
            <p type="main">
              <s id="id001265">Proportionem duorum mobilium ſibi inuicem concurrentium
                <lb/>
              per rectam inuenire.
                <lb/>
                <arrow.to.target n="marg270"/>
              </s>
            </p>
            <p type="margin">
              <s id="id001266">
                <margin.target id="marg270"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id001267">Iam cognito, quod mobilia, quæ loco mouentur per præceden­
                <lb/>
              tes, ſed omnino quieſcunt integros excipiunt ictus: alia quidem,
                <lb/>
              quæ concurrunt, non omnino reſiliunt, alia uero reſiliunt, & quæ
                <lb/>
              reſiliunt minores excipiunt ictus, ſequitur ut diuerſa ſit compara­
                <lb/>
              tio: nam erunt, quæ ſtando excipient ictus, & hæc integros ut mu­
                <lb/>
              ri, & quæ concurrendo, nec reſiliendo, ut equi curſu incitati: & quæ
                <lb/>
              ſtando, ſed reſiliendo, ut naues ſtantes: & quæ concurrendo, reſi­
                <lb/>
              liendo qúe ut naues uentis, & triremes ab impulſu: bifariam ergo
                <lb/>
              contingit intelligi, quod proponitur. </s>
              <s id="id001268">Sed in utroque etiam ſenſu
                <lb/>
              uarietas eſt: nam ut concurrit pars altera celerius, ita etiam magis
                <lb/>
              concutitur. </s>
              <s id="id001269">Et ideo ſit, ut proportio ictùs ſit in comparatione ad
                <lb/>
              grauitatem duplá, & concurrant æqualiter, & ſint æquè grauia, &
                <lb/>
              neutrum reſiliat, erunt in proportione quadrupla, & eodem mo­
                <lb/>
              do ſi utrunque reſiliat. </s>
              <s id="id001270">At ſi diuerſo impetu ferantur, ut dixi, tria
                <lb/>
              erunt præcipuè conſideranda grauitas ſeu pondus, impetus, & an
                <lb/>
              reſiliat. </s>
              <s id="id001271">Quanto enim grauiora fuerint, & maiore impetu agen­
                <lb/>
              tur, & non reſilierint eo maiorem ictum recipient: quanto leuio­
                <lb/>
              ra, & minore impetu, & magis reſilierint, minus lædentur. </s>
              <s id="id001272">Sed &
                <lb/>
              in debilitando ictum conſiderare oportet tria, quod reſiliat, quod
                <lb/>
              diffugiat, quod circumuertatur: reſiliunt naues, ſi roſtris concur­
                <lb/>
              rant pleno ictu: ſi uerò non pleno ictu concurrant, ſed diffugiant
                <lb/>
              hoc experimento compertum eſt minimum eſſe ictum: ſi roſtro
                <lb/>
              tranſuerſum nauis feriatur medium, eſt hoc.</s>
            </p>
            <figure id="id.015.01.085.1.jpg" xlink:href="015/01/085/1.jpg" number="82"/>
            <p type="main">
              <s id="id001273">Sit ergo ut a b nauis tangat roſtro b c ſic ut
                <lb/>
              diffugiat, erit hypomochlium c, & ſi tangat
                <lb/>
              e f hypomochlium eſt in d dupla, ergo eſt c b
                <lb/>
              ipſi d e, igitur ictus duplo minor excipitur à
                <lb/>
              c b quàm ef. </s>
              <s id="id001274">Eſt etiam tempus longè maius,
                <lb/>
              quo excipit ictum ef, quàm b c: ſtatim enim diſcedit b c occurritque
                <lb/>
              aliis partibus, in c f autem impingit, & angulus a d c eſt longè ma­
                <lb/>
              ior recto, quàm a b f: ob hæc igitur longè maior eſt ictus c f quàm
                <lb/>
              b c: uocant autem hoc declinationem.</s>
            </p>
            <p type="main">
              <s id="id001275">Propoſitio ſeptuageſima ſeptima.</s>
            </p>
            <p type="main">
              <s id="id001276">Proportionem motus obliqui ad motum rectum in nauibus
                <lb/>
              inuenire.</s>
            </p>
            <p type="main">
              <s id="id001277">
                <arrow.to.target n="marg271"/>
              </s>
            </p>
            <p type="margin">
              <s id="id001278">
                <margin.target id="marg271"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id001279">Cùm uentus fertur ad puppim rectà, nauiſqúe gubernaculum di</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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