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="id001372">
                <pb pagenum="73" xlink:href="015/01/092.jpg"/>
              uelocitate ferretur citius ex a in b per a d d b, & etiam citius per a c,
                <lb/>
              c b in b quam per ipſam a b, quod fuit propoſitum declarare.</s>
            </p>
            <p type="margin">
              <s id="id001373">
                <margin.target id="marg288"/>
              P
                <emph type="italics"/>
              ropoſ.
                <emph.end type="italics"/>
              20.</s>
            </p>
            <p type="margin">
              <s id="id001374">
                <margin.target id="marg289"/>
              P
                <emph type="italics"/>
              ropoſ.
                <emph.end type="italics"/>
              47.</s>
            </p>
            <p type="margin">
              <s id="id001375">
                <margin.target id="marg290"/>
              P
                <emph type="italics"/>
              ropoſ.
                <emph.end type="italics"/>
              80.</s>
            </p>
            <p type="margin">
              <s id="id001376">
                <margin.target id="marg291"/>
              P
                <emph type="italics"/>
              er
                <emph.end type="italics"/>
              81. P
                <emph type="italics"/>
              ropoſ.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="id001377">Propoſitio octuageſima quarta.</s>
            </p>
            <p type="main">
              <s id="id001378">Diſtantiam centri terræ à centro mundi per motum lapidis Her
                <lb/>
              culei declarare.
                <lb/>
                <arrow.to.target n="marg292"/>
              </s>
            </p>
            <p type="margin">
              <s id="id001379">
                <margin.target id="marg292"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              _{m}.</s>
            </p>
            <p type="main">
              <s id="id001380">Non me later Ariſtotelem exiſtimare centrum mundi eſſe cen­
                <lb/>
              trum terræ illudque probaſſe, quod tamen ex demonſtratione noſtra
                <lb/>
              mathematica apparet nunc ſubijciam, & quid ad illius rationes di­
                <lb/>
              cendum ſit, aliâs etiam dicendum erit: nam liber hic, ut mathemati­
                <lb/>
              ca decet, eſſe debet ab omnibus contentionibus abſolutus. </s>
              <s id="id001381">Con­
                <lb/>
              ſtat ſanè non eſſe propriam uim lapidis illius, ut qui non ſit circum­
                <lb/>
              ſcriptus ſed fruſtulum quoduis id poteſt, neque per ſe, ſed in ferro &
                <lb/>
              pendulo, nec fieri poteſt, ut ſit illius
                <expan abbr="tãquam">tanquam</expan>
              ſpeciei unius lapidum,
                <lb/>
              ſed quaſi perfectæ portionis cuiuſdam generis terræ, quæ abſolu­
                <lb/>
              ta ſit, cuius indicium eſt illius copia, neque enim ullibi non inuenitur,
                <lb/>
              & ubi ferrum effoditur, ut in Ilua Inſula Tyrrheno mari, eſt ergo fer
                <lb/>
                <figure id="id.015.01.092.1.jpg" xlink:href="015/01/092/1.jpg" number="86"/>
                <lb/>
              ri uis terræ maritæ, quæ perfecta in ſuo ge­
                <lb/>
              nere, ubi uim fecundam acceperit à maſcu­
                <lb/>
              lo ſcilicet Herculeo lapide, quærit primum
                <lb/>
              ut deſcendat, ubi hoc non poſsit
                <expan abbr="ſaltẽ">ſaltem</expan>
              quæ­
                <lb/>
              rit, ut quieſcere poſsit. </s>
              <s id="id001382">Vt ergo quieſcat à
                <lb/>
              motu cœli qui eſt ab Oriente in Occiden­
                <lb/>
              tem iuxta axis cœli ſitum ſe dirigit, quod
                <lb/>
              ille ſolus quieſcat in ſuo motu, uel ſaltem
                <lb/>
              tardiſsimè moueatur: indicio eſt quod ſi
                <lb/>
              extra ſitum illum acus ferrea imbuta eo lapide ponatur, ſtatim tre­
                <lb/>
              mit uehementer, adeò ut nec momento ullo conſiſtat, ſed miſerè &
                <lb/>
              grauiter torqueri uideatur, non ergo quod ſentiat polorum locum
                <lb/>
              qui tantum abeſt ab illa, ut nec ab homine perito mathematicarum,
                <lb/>
              ſed quod uix illa cœli ſentiatur circa centrum mundi. </s>
              <s id="id001383">Cuius indi­
                <lb/>
              cio eſt Oceani maris, aquarum fluxus & refluxus. </s>
              <s id="id001384">Duos ergo ha­
                <lb/>
              bet motus terra perfecta, ſeu ferrum lapide Herculeo
                <expan abbr="imbutũ">imbutum</expan>
              ſub­
                <lb/>
              ordinatos imperfectum perfecto: perfectus eſt, ut deſcendat ad cen
                <lb/>
              trum terræ, ut ibi quieſcat: imperfectum, cum à perfecto prohibe­
                <lb/>
              tur, ut quieſcat ſaltem extra centrum cum in clinatione ad centrum,
                <lb/>
              et hoc fiet ſi ſecundum longitudinem acus dirigatur per axem mun
                <lb/>
              di, cum ſitu tamen deſcenſui ad terræ centrum proximiore, ut ſæpi­
                <lb/>
              us ſuperius declarauimus, dum de motu grauium & præcipuè li­
                <lb/>
              bræ, & centro grauitatis loqueremur. </s>
              <s id="id001385">Quibus demonſtratis tum
                <lb/>
              experimento tum ratione à Fortunio Affaytato Cremonenſi Me­
                <lb/>
              dico, cum per hæc poſtmodum cogeretur fateri acum ad polum </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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