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="id002912">
                <pb pagenum="166" xlink:href="015/01/185.jpg"/>
              lior, ut ita dicam, quarta parte: at Saturnus, ut dictum eſt, mouet or­
                <lb/>
              bem 30019066, ſed lentiùs quinta parte, detrahe illam fiet robur Sa
                <lb/>
              turni in comparatione ad Lunam 24015253.</s>
            </p>
            <p type="main">
              <s id="id002913">Eſt tamen Luna multo agilior ob propinquitatem, & ob uarie­
                <lb/>
              tatem luminis, & magnitudinem ſuperficiei. </s>
              <s id="id002914">Et etiam quod maius
                <lb/>
              eſt ob id quod defert ad nos uires omnium ſyderum, nihilominus
                <lb/>
              quo ad uires uix eſt comparatio.</s>
            </p>
            <p type="head">
              <s id="id002915">SCHOLIVM.
                <lb/>
                <arrow.to.target n="marg574"/>
              </s>
            </p>
            <p type="margin">
              <s id="id002916">
                <margin.target id="marg574"/>
              46</s>
            </p>
            <p type="main">
              <s id="id002917">Multum autem differt hæc propoſitio à ſuperiore, nam in illa
                <lb/>
              quæſiuimus uim uitarum ex proportione ad ſua corpora, quæ
                <lb/>
              quodammodo eſt quodammodo, non hic autem exponimus uim
                <lb/>
              uitarum ex earum operatione. </s>
              <s id="id002918">Propterea ſubijciemus breuiter alti­
                <lb/>
              tudinem proportiones in minore longitudine & maiori
                <lb/>
                <arrow.to.target n="table19"/>
              </s>
            </p>
            <table>
              <table.target id="table19"/>
              <row>
                <cell>Luna</cell>
                <cell>in minore altitudine</cell>
                <cell>51</cell>
                <cell>in maiore</cell>
                <cell>64</cell>
              </row>
              <row>
                <cell>Mercurij</cell>
                <cell>in minore</cell>
                <cell>64</cell>
                <cell>in maiore</cell>
                <cell>167</cell>
              </row>
              <row>
                <cell>Veneris</cell>
                <cell>in minore</cell>
                <cell>167</cell>
                <cell>in maiore</cell>
                <cell>1120</cell>
              </row>
              <row>
                <cell>Solis</cell>
                <cell>in minore</cell>
                <cell>1120</cell>
                <cell>in maiore</cell>
                <cell>1220</cell>
              </row>
              <row>
                <cell>Martis</cell>
                <cell>in minore</cell>
                <cell>1220</cell>
                <cell>in maiore</cell>
                <cell>8876</cell>
              </row>
              <row>
                <cell>Iouis</cell>
                <cell>in minore</cell>
                <cell>8876</cell>
                <cell>in maiore</cell>
                <cell>14405</cell>
              </row>
              <row>
                <cell>Saturni</cell>
                <cell>in minore</cell>
                <cell>14405</cell>
                <cell>in maiore</cell>
                <cell>20110</cell>
              </row>
            </table>
            <p type="main">
              <s id="id002919">Stellarum fixarum propior 20110 longior non habetur. </s>
              <s id="id002920">Et hæ
                <lb/>
              menſuræ ſunt in comparatione ad ſemidiametrum terræ. </s>
              <s id="id002921">Et iuxta
                <lb/>
              id quod potuit ſecundum rationem haberi: nam demonſtratio ſola
                <lb/>
              eſt de altitudinibus Solis & Lunæ, & eorum magnitudinibus à </s>
            </p>
            <p type="main">
              <s id="id002922">
                <arrow.to.target n="marg575"/>
                <lb/>
              Ptolemæo in magna compoſitione.</s>
            </p>
            <p type="margin">
              <s id="id002923">
                <margin.target id="marg575"/>
              L
                <emph type="italics"/>
              ib.
                <emph.end type="italics"/>
              5.
                <emph type="italics"/>
              cap.
                <emph.end type="italics"/>
                <lb/>
              14. 15.
                <emph type="italics"/>
              &
                <emph.end type="italics"/>
                <lb/>
              16.</s>
            </p>
            <p type="main">
              <s id="id002924">Propoſitio centeſima ſexageſima quarta.</s>
            </p>
            <p type="main">
              <s id="id002925">Syderum proportionem in magnitudine oſtendere.
                <lb/>
                <arrow.to.target n="table20"/>
              </s>
            </p>
            <table>
              <table.target id="table20"/>
              <row>
                <cell>Luna ad terram comparata</cell>
                <cell>1/39</cell>
              </row>
              <row>
                <cell>Mercurij corpus</cell>
                <cell>1/22000</cell>
              </row>
              <row>
                <cell>Veneris</cell>
                <cell>1/29</cell>
              </row>
              <row>
                <cell>Solis corpus</cell>
                <cell>166</cell>
              </row>
              <row>
                <cell>Martis</cell>
                <cell>15/8</cell>
              </row>
              <row>
                <cell>Iouis</cell>
                <cell>95</cell>
              </row>
              <row>
                <cell>Saturni</cell>
                <cell>91</cell>
              </row>
            </table>
            <p type="main">
              <s id="id002926">Stellarum autem fixarum inſignium unaquæque etiam minima, ſi
                <lb/>
                <arrow.to.target n="marg576"/>
                <lb/>
              credendum eſt Alphragano, eſt centies maior tota terra, unde ca­
                <lb/>
              nem neceſſe eſt centies mille maiorem eſſe, eſt enim in eadem altitu
                <lb/>
              dine, & dimetiens decuplus dimetienti ſtellarum ſecundæ magni­
                <lb/>
              tudinis, quas ille inſignes uocat: aliter Saturnus non tantus eſſe
                <lb/>
              poſſet, cum ſit minimus aſpectu.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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