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="id001939">
                <pb pagenum="107" xlink:href="015/01/126.jpg"/>
              reſpectu aëris a c, qui reſiſtit apprehenſa a b in c. </s>
              <s id="id001940">Et iam minus fere­
                <lb/>
              batur quinta parte, ideo longius eiaculabitur triplo ex a, quàm ex
                <lb/>
              c. </s>
              <s id="id001941">Nec tamen maiore impetu, quia obliquè fertur, & quæ obliquè
                <lb/>
                <expan abbr="feriũt">feriunt</expan>
              , minore cum impetu feriunt: at que eo magis ſi leuia fuerint: ab
                <lb/>
              aëre enim circumambiente perturbantur, & in incertum trudun­
                <lb/>
              tur. </s>
              <s id="id001942">Quæ ergo grauia ſunt ex medio emiſſa, & ad æquidiſtantem
                <lb/>
              longius feruntur, & maiore cum impetu, quia magis directè: leuia
                <lb/>
              autem longius ex imo, ſed minore cum impetu, ſi aliqua cauſa à re­
                <lb/>
              cto, & æquidiſtante declinauerint. </s>
              <s id="id001943">At ſi à ſuprema parte, & iuxta
                <lb/>
              cuſpidem, neque procul feruntur, neque cum impetu ob cauſas di­
                <lb/>
              ctas. </s>
              <s id="id001944">Eadem quoque ratio eſt omnium machinarum: ideò ob lon­
                <lb/>
              gę longius eiaculantur, quoniam proportionem ſeruant ad cana­
                <lb/>
                <arrow.to.target n="marg400"/>
                <lb/>
              lem. </s>
              <s id="id001945">Sed de hoc inferius agetur.</s>
            </p>
            <p type="margin">
              <s id="id001946">
                <margin.target id="marg397"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="margin">
              <s id="id001947">
                <margin.target id="marg398"/>
              P
                <emph type="italics"/>
              er
                <emph.end type="italics"/>
              86.</s>
            </p>
            <p type="margin">
              <s id="id001948">
                <margin.target id="marg399"/>
              P
                <emph type="italics"/>
              er
                <emph.end type="italics"/>
              89.</s>
            </p>
            <p type="margin">
              <s id="id001949">
                <margin.target id="marg400"/>
              P
                <emph type="italics"/>
              rop.
                <emph.end type="italics"/>
              107.</s>
            </p>
            <p type="main">
              <s id="id001950">Propoſitio centeſimatertia decima.</s>
            </p>
            <p type="main">
              <s id="id001951">Cur uirga longius mittatur à puero, quàm à uiro inueſtigare.
                <lb/>
                <arrow.to.target n="marg401"/>
              </s>
            </p>
            <p type="margin">
              <s id="id001952">
                <margin.target id="marg401"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              _{m}.</s>
            </p>
            <p type="main">
              <s id="id001953">Diligentia, & uſus puerilis efficit, ut uirga feratur ſecundum me­
                <lb/>
              dium rectianguli: uir autem non conſtanter iacit, & ſecundum re­
                <lb/>
              ctum, at rectus inceſſus in leuibus, quia ab aëre in obliquum defle­
                <lb/>
              ctitur uirga ob longitudinem efficit, ut inflectatur infrà celerius, &
                <lb/>
              deſinat citius motus, ac finiatur. </s>
              <s id="id001954">Tertia cauſa eſt, quòd leuiſsima
                <lb/>
              non adeò recipiunt impetum ut grauia: nam leuiſsimam & exigu­
                <lb/>
              am ligni portionem maximo nixu uix excutiemus è manu. </s>
              <s id="id001955">Cauſa
                <lb/>
              ergo eſt: quoniam uim, oportet, ut habeat, quod contra naturam
                <lb/>
              mouetur, ut naturaliter moueri poſsit, quæcunque igitur naturaliter
                <lb/>
              exiguum habent motum, ut pluma, palea, feſtucæ nulla ratione ue­
                <lb/>
              hementer contra naturam agi poſſunt. </s>
              <s id="id001956">Quædam ergo à pueris lon
                <lb/>
              gius
                <expan abbr="iaciũtur">iaciuntur</expan>
              ob ſolam peritiam, & exercitationem, quædam quo­
                <lb/>
              niam ad angulum latiorem magis feruntur, quàm ſit rectus, quæ­
                <lb/>
              dam quoniam leuiſsima ſunt. </s>
              <s id="id001957">Sed ſi leuiora non feruntur ualido
                <lb/>
              motu uiolento, cur tamen à pueris iacta longius
                <expan abbr="ferũtur">feruntur</expan>
              ? </s>
              <s id="id001958">Ratio eſt,
                <lb/>
              quoniam maior uis deficiente obiecto magis fatigatur, atque ideò
                <lb/>
              minus mouet. </s>
              <s id="id001959">Propter hæc igitur omnia non ſolùm in pueris, ſed
                <lb/>
              in machinis, quæ accommodata ſunt, melius impelluntur, a c lon­
                <lb/>
              gius feruntur, quàm leuiſsima. </s>
              <s id="id001960">nam nec palea ſcorpione iacta tam
                <lb/>
              procul, quàm ſagitta fertur, cum proportio maior ſit, tamen ad pa­
                <lb/>
              leam, quàm ad ſagittam. </s>
              <s id="id001961">Inde fit, ut quemadmodum Turca ille lite­
                <lb/>
              ras ſui Principis, cum timeret ad noſtros propius accedere, lapidi al
                <lb/>
              ligatas longius emiſit. </s>
              <s id="id001962">Cauſam autem huius docet Ariſtoteles in
                <lb/>
              Mechanicis dum quærit cur, & grauia & leuia ualde longe proijci
                <lb/>
              nequeunt: nam grauia nimis, moueri
                <expan abbr="">non</expan>
              facilè poſſunt: leuia etiam
                <lb/>
              ualde ad rem mouere non ualent. </s>
              <s id="id001963">Ob hæc utra que ex his paruo cum </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>