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="id004531">
                <pb pagenum="268" xlink:href="015/01/287.jpg"/>
              gis diſtat à quiete in eo quod plus de medio ſuperat quàm tardus,
                <lb/>
              & eſt propinquior quieti in eo quod celerius quieſcit. </s>
              <s id="id004532">At motus cir
                <lb/>
              cularis uelociſsimus eſt propior quieti in tranſitu medij, & in redi­
                <lb/>
              tu ad locum priorem: de reditu ad locum priorem clarum eſt per ſe:
                <lb/>
              de tranſitu medij, dico quod cum in prima medietate magis remo­
                <lb/>
              ueatur à medio quam motus tardus, & in ſecunda medietate tan­
                <lb/>
              tundem, uelocius redeat. </s>
              <s id="id004533">Ergo in
                <expan abbr="ſecũda">ſecunda</expan>
              medietate eſt ſemper pro­
                <lb/>
              ximior motus uelociſsimus ipſi quieti, ſed in prima medietate q̊d
                <lb/>
              mouetur motu uelociſsimo propius eſt ſecundæ medietati ſemper
                <lb/>
              quam quod mouetur tardo motu, igitur quod mouetur uelociſsi­
                <lb/>
              mè circulariter eſt propius quieſcenti, quam quod mouetur tardè.
                <lb/>
              </s>
              <s id="id004534">Et hoc eſt quia in ęternis motus eſt quies, & ideo habent quandam
                <lb/>
              ſimilitudinem iuxta
                <expan abbr="perfectionẽ">perfectionem</expan>
              ſuam, ſicut ſi eſſent in circulo hoc
                <lb/>
                <figure id="id.015.01.287.1.jpg" xlink:href="015/01/287/1.jpg" number="283"/>
                <lb/>
              modo. </s>
              <s id="id004535">Mutatio ergo
                <expan abbr="cõue­nit">conue­
                  <lb/>
                nit</expan>
              in corporeis quę
                <expan abbr="pendẽt">pendent</expan>
                <lb/>
              à corpore, ſicut lumini: qua­
                <lb/>
              tenus enim ſunt ex corpo­
                <lb/>
              reo,
                <expan abbr="occupãt">occupant</expan>
              diuerſum
                <expan abbr="locũ">locum</expan>
              ,
                <lb/>
              quatenus eſt in corporei id,
                <lb/>
              agit ſine tranſitu per
                <expan abbr="mediũ">medium</expan>
                <lb/>
              & in inſtanti, ergo in corpo­
                <lb/>
              rea ſimpliciter mutationem
                <lb/>
              recipiunt, non in tempore
                <lb/>
              neque in loco. </s>
              <s id="id004536">Videtur
                <expan abbr="autẽ">autem</expan>
                <lb/>
              uelo
                <expan abbr="ciſsimũ">ciſsimum</expan>
              dupliciter
                <expan abbr="etiã">etiam</expan>
                <lb/>
              nobis iuxta ſenſum, idque eſt
                <lb/>
              in quo ſenſus medij tranſitum non percipit, & natura quod eſt pri­
                <lb/>
              mi mobilis. </s>
              <s id="id004537">At dubitare quis poteſt circa hoc, nam proprium mo­
                <lb/>
              tus eſt tangentia concutere, quietis autem minime: concutit autem
                <lb/>
              maximè quod uelociſsimè mouetur, ob hoc arbitrati ſunt homi­
                <lb/>
              nes quod uelociſsimus motus multò plus diſtaret à natura quietis
                <lb/>
              quam tardus, ſed hoc eſt quia non eadem eſt ratio uiolenti & natu­
                <lb/>
              ralis: uiolenta enim non redeunt in ſe ipſa, nec habent rationem cir­
                <lb/>
              cularis, ſed potius recti & infiniti, & ideò in his quæ mouentur mo
                <lb/>
              tu recto naturali cadit uiolentia, non autem in his quæ mouentur
                <lb/>
              motu circulari naturali:
                <expan abbr="cõ">com</expan>
              cuſsio ergo eſt in motu uiolento, & qua­
                <lb/>
              liſcunque motus uiolentus, quanto magis augetur tantò magis re­
                <lb/>
              cedit à contrario, tantò magis remouetur à natura contrarij, & ha­
                <lb/>
              bet actiones contrarias ualidiores.</s>
            </p>
            <p type="main">
              <s id="id004538">Eſt etiam aliud penè ſimile argumentum in figuris ipſis, circulus
                <lb/>
              enim unica linea continetur, nulla tamen figura ab ea magis natura </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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