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="id001963">
                <pb pagenum="108" xlink:href="015/01/127.jpg"/>
              impetu emittuntur, tametſi uehementer nitaris. </s>
              <s id="id001964">Sed & leuia ferun­
                <lb/>
              tur hac illac, ut non poſsint retinere impetum prioris uiolentiæ: in­
                <lb/>
              natum enim eſt, ut duorum motuum ſimul in eadem re uigentium,
                <lb/>
              cum illa proprio impetu feratur, unus alterum impediat: nam ſi ro­
                <lb/>
              ta uehatur circulariter acta, non tamen ceſſabit, aut iminuetur impe
                <lb/>
              tus circulationis. </s>
              <s id="id001965">Multa ergo in huiuſmodi anomalis motibus con
                <lb/>
              ſideranda ſunt, ut illorum impetum robur, ac locum definiamus.</s>
            </p>
            <p type="main">
              <s id="id001966">Ex hoc liquet, cur plumbeæ ſphærulæ longius ferantur à tor­</s>
            </p>
            <p type="main">
              <s id="id001967">
                <arrow.to.target n="marg402"/>
                <lb/>
              mento emiſſæ, quàm ligneæ, etiam ſi non frangantur.</s>
            </p>
            <p type="margin">
              <s id="id001968">
                <margin.target id="marg402"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id001969">Propoſitio centeſima quarta decima.</s>
            </p>
            <p type="main">
              <s id="id001970">Circularis motus differentias quatuor eſſe, earum qúe rationem
                <lb/>
              contemplari.</s>
            </p>
            <p type="main">
              <s id="id001971">In motu circulari aut axis
                <expan abbr="progredit̃">progreditur</expan>
              , aut ſuo loco manet. </s>
              <s id="id001972">Vtroque
                <lb/>
                <arrow.to.target n="marg403"/>
                <lb/>
              autem modo uel mouetur ab axe, uel circumferentia, igitur conſtat
                <lb/>
              quatuor eſſe motuum differentias: quas cum tres proponat author
                <lb/>
              libri Mechanicarum, aut Ariſtotelem illum eſſe, credendum non
                <lb/>
              eſt, aut illum ſtupidum dicere neceſſe eſt, nam modum diuidendi
                <lb/>
              eum latuiſſe quis putet. </s>
              <s id="id001973">cum rota igitur aut ſphæra in plano cir­
                <lb/>
              cumagitur, motus eſt ex circumferentia prægrediente axe: ut pa­
                <lb/>
              lam eſt: motis enim loco nobis mouentur omnia, quæ ſunt in no­
                <lb/>
              bis. </s>
              <s id="id001974">Cum uerò rotæ ſub curru ſunt, progreditur axis earum, & rota
                <lb/>
              ob id cum quieſcere nequeat, quia facilius circumuertitur, quàm
                <lb/>
              trahatur, procedit, & hic eſt ſecundus modus, quo rota ex circumfe
                <lb/>
              rentia mouetur, & ex axe initium eſt motus. </s>
              <s id="id001975">At uerò in rota molari,
                <lb/>
              & quibus gladij exacuuntur, cum loco non moueantur, motus eſt
                <lb/>
              ex axe: axis enim rotam circumagit, non rota axem, quieſcit tamen
                <lb/>
              in eodem loco rota, & axis ſcilicet, quia non progreditur, ſed in lo­
                <lb/>
              co mouetur: atque hic eſt tertius modus. </s>
              <s id="id001976">Demum ſuccula putei, &
                <lb/>
              ipſa mouetur circulari motu, & trochleæ etiam, neque enim progre­
                <lb/>
              diuntur: ſed non ex axe mouentur, uerùm ſuccula per coloppes cir
                <lb/>
              cumducitur, & trochlea per funes, axis que in ſuccula mouetur, in tro
                <lb/>
              chleis autem quieſcit prorſus: dico mouetur, id eſt circumducitur,
                <lb/>
              non quod progrediatur: ut non ſolum ſint quatuor modi, ſed po­
                <lb/>
              tius quin que, nam & demonſtratione oſtenduntur, & experimento
                <lb/>
              docente deprehenduntur. </s>
              <s id="id001977">Horum omnium liberrimus eſt, primus
                <lb/>
              ex circumferentia progrediente toto, ſeu attracto ſeu impulſo & ue
                <lb/>
              lociſsimus, cuius cauſam ſuprà oſtendimus. </s>
              <s id="id001978">Proximus huic eſt mo­
                <lb/>
                <arrow.to.target n="marg404"/>
                <lb/>
              tus rotarum per axem, quoniam axis premit rotam interius ſo­
                <lb/>
              lam, & labitur: ideo que quod & axis, & rota intus ſint leuiſsima, pro­
                <lb/>
              deſt plurimum: & aurigæ axungia inungunt, & nomen ab eo traxit </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>