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="167" xlink:href="015/01/186.jpg"/>
            <p type="margin">
              <s id="id002927">
                <margin.target id="marg576"/>
              D
                <emph type="italics"/>
              iff.
                <emph.end type="italics"/>
              22.</s>
            </p>
            <p type="main">
              <s id="id002928">Propoſitio centeſima ſexageſima quinta.</s>
            </p>
            <p type="main">
              <s id="id002929">Propoſitionem motuum omnium
                <expan abbr="ſtellarũ">ſtellarum</expan>
              ad ſolem conſiderare.</s>
            </p>
            <p type="main">
              <s id="id002930">Videtur Sol quaſi Rex in Cœlo, nam omnes orbes cum illius
                <lb/>
                <arrow.to.target n="marg577"/>
                <lb/>
              motu conueniunt, & uidetur es admiratione digna his, qui non
                <lb/>
              nouerunt, quanta ſit concordia omnium rerum, de qua infrà dice­
                <lb/>
              mus. </s>
              <s id="id002931">Ergo Luna primum hoc habet, ut linea æqualis motu Solis
                <lb/>
              ſemper media ſit inter lineam æqualis motus Lunę & loci maximè
                <lb/>
              inæqualitatis motus eius, ubi ſcilicet tardiſsimè mouetur, Veneris
                <lb/>
              autem & Mercurij ut motus æquales idem ſemper ſint cum motu
                <lb/>
              æquali, & locus cum loco ipſius Solis ad unguem præter id quod
                <lb/>
              infrà dicemus. </s>
              <s id="id002932">Trium uerò
                <expan abbr="ſuperiorũ">ſuperiorum</expan>
              ratio ſic
                <expan abbr="cõſtat">conſtat</expan>
              ad Solem ut à
                <lb/>
              Ptolemęo
                <expan abbr="obſeruatũ">obſeruatum</expan>
              eſt ex Hipparcho. </s>
              <s id="id002933">In omni reſtitutione cuiuſ­
                <lb/>
              libet planetę ſuperioris numerus
                <expan abbr="reuolutionũ">reuolutionum</expan>
              Solis ęqualis eſt nu­
                <lb/>
              mero
                <expan abbr="reſtitutionũ">reſtitutionum</expan>
              planetę
                <expan abbr="ſecundũ">ſecundum</expan>
                <expan abbr="motũ">motum</expan>
              æqualitatis & inęqualita
                <lb/>
              tis pariter acceptis. </s>
              <s id="id002934">Velut Saturnus in annis quinquaginta nouem
                <lb/>
              die una & horis decem octo quinquageſies ſepties per motum inę­
                <lb/>
              qualem ad
                <expan abbr="unguẽ">unguem</expan>
              , per æqualem autem duabus reuolutionibus par
                <lb/>
              te inſuper una & quadraginta quin que minutijs, quæ reſpondent di­
                <lb/>
              ei uni, & horis decem octo ex motu Solis, & ita bis Saturnus reuol
                <lb/>
              uitur ſecundum motum æqualitatis & quinquageſies ſepties per
                <lb/>
              motum inæqualem & ſimiliter. </s>
              <s id="id002935">Iupiter in annis 70, diebus trecen­
                <lb/>
              tis ſexaginta, horis quatuor, ſexaginta quinque reuolutiones inęqua
                <lb/>
              les perficiet & ſex ęquales, deficientibus ex ęqualibus quatuor par­
                <lb/>
              tibus & dextante quod eſt
                <expan abbr="quãtum">quantum</expan>
              peragraret Solin quatuor die­
                <lb/>
              bus, & dextante diei ad perfectionem ſcilicet annorum ſeptuaginta
                <lb/>
              atque unius. </s>
              <s id="id002936">Martis quo que ſtella in annis ſeptuaginta nouem, & die­
                <lb/>
              bus tribus & horis fermè quatuor triginta nouem facit inæquali­
                <lb/>
              tatis reuolutiones: æqualitatis autem quadraginta duas, & inſuper
                <lb/>
              partes tres cum ſextante, quas manifeſtum eſt peragrari à Sole in
                <lb/>
              diebus tribus atque horis quatuor. </s>
              <s id="id002937">Veneris quo que ſydus in octo an­
                <lb/>
              nis deficientibus diebus duobus & quadrante, inæqualitatis quin­
                <lb/>
              que perficit reuolutiones, æqualitatis autem tantundem ad un
                <expan abbr="guẽ">guem</expan>
                <lb/>
              quantum Sol deficiente eadem parte ſeu diebus duobus & qua­
                <lb/>
              drante. </s>
              <s id="id002938">Mercurij quo que ſtella in quadraginta ſex annis & una die
                <lb/>
              & hora una fermè quadraginta ſex fermè perficit reuolutiones æ­
                <lb/>
              qualis motus & inſuper gradum unum cum portione reſpondenti
                <lb/>
              portioni temporis, id eſt, horæ fermè uni: in æqualitatis autem cen­
                <lb/>
              ſum quadraginta quin que. </s>
              <s id="id002939">Atque hęc ſunt manifeſtiſsima et ut dixi ad­
                <lb/>
              miranda ſunt, præterea alia minus generalia, aut minus manifeſta
                <lb/>
              aut non tanti momenti quæ conſultò prætermitto, non eſt. </s>
              <s id="id002940">n. </s>
              <s id="id002941">locus
                <lb/>
              hic docendi artes ſingulas ſed ſolum ea tractandi quæ ad argumen</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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