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 ...

List of thumbnails

< >
131
131 		132
132
133
133 		134
134
135
135 		136
136
137
137 		138
138
139
139 		140
140
< >
page |< < of 291 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="id003766">
                <pb pagenum="223" xlink:href="015/01/242.jpg"/>
              ſicut etiam ſi traheretur fune. </s>
              <s id="id003767">Et ſi quis obijciat quod hæc reſpon­
                <lb/>
              ſio eſt eadem cum illa quę tribuitur Ariſtoteli, dico quod non, quia
                <lb/>
              in illa ſupponuntur duo falſa, unum quod principium motus ali­
                <lb/>
              quando ſit in c d, aliquando in a b, quod pro ſecunda parte falſum
                <lb/>
              eſt: nam nunquàm principium poteſt eſſe in a b, nam ſi intelliga­
                <lb/>
              mus de modo motus, non mouetur nec a b nec c d motu circulari,
                <lb/>
              quoniam (ut dixi) motus eſt uectio, ſeu tractio, non circularis. </s>
              <s id="id003768">Sin
                <lb/>
              autem de cauſa motus rotæ illa eſt in circulo ſemper maximo, ſcili­
                <lb/>
              cet c d & non a b. </s>
              <s id="id003769">Et cauſa erroris horum fuit duplex: cum enim ſci­
                <lb/>
              rent hanc rationem, dubitarunt an circulus c d motus eſſet potius
                <lb/>
              cauſa motus circuli a b, an contrà, ideò protulerunt ambos, ſicut illi
                <lb/>
              quibus ſublata eſt res aliqua, ut non errent, dicunt hic, uel hic ſubri­
                <lb/>
              puit rem meam. </s>
              <s id="id003770">Secunda fuit, quia neſciuerunt diſtinguere inter
                <lb/>
              motum per circulum & motum circularem, cum ſit magnum diſcri
                <lb/>
              men: motus enim rotæ eſt per circulum, quia per circumferentiam
                <lb/>
              eius, quæ eſt circulus, non autem circularis. </s>
              <s id="id003771">Etſi ſuperius appella­
                <lb/>
              uerim circularem, cum diſtinxi in triplicem motum ſphęrę circum­
                <lb/>
              uolutionem, tunc non curaui de uerbis, quia uerba tum non erant
                <lb/>
              cauſa erroris.</s>
            </p>
            <p type="margin">
              <s id="id003772">
                <margin.target id="marg705"/>
              C
                <emph type="italics"/>
              o
                <emph.end type="italics"/>
              _{m}.</s>
            </p>
            <p type="margin">
              <s id="id003773">
                <margin.target id="marg706"/>
              P
                <emph type="italics"/>
              er
                <emph.end type="italics"/>
              18.
                <emph type="italics"/>
              ter
                <lb/>
              tij
                <emph.end type="italics"/>
              E
                <emph type="italics"/>
              lem.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="id003774">
                <margin.target id="marg707"/>
              P
                <emph type="italics"/>
              er
                <emph.end type="italics"/>
              34.
                <emph type="italics"/>
              pri­
                <lb/>
              mi
                <emph.end type="italics"/>
              E
                <emph type="italics"/>
              lem.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="margin">
              <s id="id003775">
                <margin.target id="marg708"/>
              Q
                <emph type="italics"/>
              uæſt.
                <emph.end type="italics"/>
              25.</s>
            </p>
            <p type="main">
              <s id="id003776">Ex hoc patet unum, quod eſt difficilius, ſcilicet quia certum eſt,
                <lb/>
                <arrow.to.target n="marg709"/>
                <lb/>
              quòd tam c d quàm a b mouentur ſuper rectas, & ita ut ſingula
                <lb/>
              puncta c d tangant ſingula puncta c g, & a b ſingula puncta a f, &
                <lb/>
              tamen c d circumferentia, aut non eſt æqualis rectæ c g, aut circum­
                <lb/>
              ferentia a b non eſt æqualis rectæ a f, aliter ſi ambæ circumferentiæ
                <lb/>
              ambabus rectis eſſent æquales, cum rectæ ſint æquales, ut demon­
                <lb/>
              ſtratum eſt, eſſent circumferentiæ etiam a b & c d, æquales maior
                <lb/>
              minori, quod eſt impoſsibile. </s>
              <s id="id003777">Non ergo ualet argumentum, iſte cir
                <lb/>
              culus circumfertur ſuper rectam aliquam, ita ut cum redit ad idem
                <lb/>
              punctum rectam perambulauit ad unguem, ergo illius peripheria
                <lb/>
              eſt æqualis illi rectæ.</s>
            </p>
            <p type="margin">
              <s id="id003778">
                <margin.target id="marg709"/>
              C
                <emph type="italics"/>
              or
                <emph.end type="italics"/>
              ^{m}.</s>
            </p>
            <p type="main">
              <s id="id003779">Melius ergo fuiſſet huius reddere rationem, in quo eſt tota dif­
                <lb/>
                <arrow.to.target n="marg710"/>
                <lb/>
              ficultas, nam illa (ut dixi) de motu circulari nulla eſt, ſi quis tam pe­
                <lb/>
              nitus introſpiciat. </s>
              <s id="id003780">Sit igitur ut rotæ axis c, tranſeat in f, & quia e a &
                <lb/>
              f g æquales ſunt a centro ad circumferentiam, & a g æquidiſtans
                <lb/>
              b c, erit per demonſtrata punctum g in linea fh, & ponamus quod
                <lb/>
              punctum fuerit m, quod translatum, & retro reuolutum peruene­
                <lb/>
              rit ad h, & ſecet e m a b circulum in n, dico quod n eſt punctum g, in
                <lb/>
              quo etiam eſt animaduertendum de ſtupore horum ſcribentium,
                <lb/>
              nec aduertentium quod puncta circulorum a b & c d retro cedunt,
                <lb/>
              uerſus a & c, & non uerſus o & p, & hoc eſt quod decipit illos. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum