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="id000474">
                <pb pagenum="25" xlink:href="015/01/044.jpg"/>
              Quarta cùm in recta ad centrum, ſecundum naturam, ſed
                <expan abbr="nõ">non</expan>
              à prin
                <lb/>
              cipio naturali. </s>
              <s id="id000475">Velut cum quis proijcit lapidem rectà in terram è
                <lb/>
              turri uiolentius, quàm ille ſua grauitate deſcenſurus eſſet. </s>
              <s id="id000476">Hic igi­
                <lb/>
              tur motus eſt compoſitus ex naturali, & uiolento. </s>
              <s id="id000477">Animalium au­
                <lb/>
              tem motus uoluntarius eſt, cum ſit à principio interiore cognoſcen
                <lb/>
              te: & ſit quatenus à principio in linea circulari æqualiter diſtante à
                <lb/>
              centro: ſed quia obſtat grauitas, ideò miſtus eſt ex naturali, & uo­
                <lb/>
              luntario. </s>
              <s id="id000478">Sed circularis, & uiolentus ſoli eſſe non poſſunt: nam uio
                <lb/>
              lentus eſt neceſſariò in corpore graui aut leui: ſed omne corpus gra
                <lb/>
              ue aut leue, cùm mouetur, naturaliter mouetur ſaltem in fine: & per
                <lb/>
              totum motum, motu ócculto, qui maximè in hoc libro dignus eſt
                <lb/>
              conſideratione, igitur motus uoluntarius, & uiolentus non poſ­
                <lb/>
              ſunt eſſe ſimul ſoli. </s>
              <s id="id000479">Erunt ergo ſecundum naturam tantùm tres ſpe­
                <lb/>
              cies. </s>
              <s id="id000480">Velut cùm quis ſcandit, autſ alit: Eſt enim motus naturalis ſal­
                <lb/>
              tem in fine, & uoluntarius, & uiolentus. </s>
              <s id="id000481">Si quis autem uelit uiolen­
                <lb/>
              tum cum uoluntario copulare dicemus conſtare eam compoſitio­
                <lb/>
              nem in initio ſaliendi. </s>
              <s id="id000482">Motum autem occultum uocamus grauita­
                <lb/>
              tem aut leuitatem.</s>
            </p>
            <p type="main">
              <s id="id000483">Propoſitio uigeſima ſeptima.</s>
            </p>
            <p type="main">
              <s id="id000484">Motus uoluntarius eſt in loco: naturalis ad locum: uiolentus
                <lb/>
              exloco.</s>
            </p>
            <p type="main">
              <s id="id000485">Hæc eſt tertia differentia primarum ſpecierum motuum uolun­
                <lb/>
              tarius fit manente corpore toto in eodem loco, ideo proprius eſt
                <lb/>
              cœlo, corpora autem animalium in eodem loco feruntur: quia in
                <lb/>
              eodem orbe nata redire ad proprium locum. </s>
              <s id="id000486">Et ideò, ut dixi, eſt mo
                <lb/>
              tus miſtus ex naturali, & uoluntario, qui ſi per ſe fieret, non fatiga­
                <lb/>
              ret mobile, cùm ex utroque principio ab interiore ui procedat. </s>
              <s id="id000487">Sed
                <lb/>
              quia fit per muſculos, qui trahuntur: hic autem motus eſt uiolen­
                <lb/>
              tus, ideò per conſequentiam fatigat. </s>
              <s id="id000488">Qui uerò naturalis, eſt ut re­
                <lb/>
              deat corpus ad ſuum locum, igitur naturalis eſt ad locum. </s>
              <s id="id000489">Sed
                <lb/>
              uiolenti finis eſt, ut protrudatur ex loco in quo eſt, non habens cer­
                <lb/>
              tum finem. </s>
              <s id="id000490">licet enim qui trahit, ad ſuum locum trahat, non tamen
                <lb/>
              ad locum mobilis.</s>
            </p>
            <p type="main">
              <s id="id000491">Propoſitio uigeſimaoctaua.</s>
            </p>
            <p type="main">
              <s id="id000492">Motus quilibet naturalis aut uiolentus in aliquo medio fit.
                <lb/>
                <arrow.to.target n="marg79"/>
              </s>
            </p>
            <p type="margin">
              <s id="id000493">
                <margin.target id="marg79"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id000494">Cùm uacuum non detur, & omnis motus naturalis ſit ad locum,
                <lb/>
              et uiolentus ex loco per præcedentem, igitur cùm non ſit in medio,
                <lb/>
              uacuum erit in aliquo corpore, uelut aere, aqua, igne, ligno.</s>
            </p>
            <p type="main">
              <s id="id000495">Propoſitio uigeſima nona.</s>
            </p>
            <p type="main">
              <s id="id000496">Omnis motus uoluntarius æqualis eſt ſemper: ſimpliciter etiam
                <lb/>
              quilibet alius motus.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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