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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1uetur ſurſum à dextro in ſiniſtrum in inferiore parte, mouebitur à
ſiniſtro in dextrum, & uterque circulorum g & k in ſuperiore parte,
& in inferiore mouebitur contrario motu, ſcilicet in ſuperiore à ſini
ſtro in dextrum, & inferiore à dextro in ſiniſtrum, illi uerò duo or­
bes ſimili motu mouebuntur tam in parte ſuperiore, quàm inferio­
re, & proportio motuum eorum inter ſe erit uelut dimetientium
eorundem.
Cor^{m}. 1.
Cor^{m}. 2.
Rurſus cum a b circumuertatur cum manubrio c d f e, tanto uelo
cius circumuertetur, & in ea proportione, qua d f continetur in c n,
& in eodem tempore, in quo manubrium circumuertitur in eodem
axis circumuertitur, & orbis, ut dictum eſt, ergo in eodem tempo­
re, in quo axis circumuertitur in eodem orbis: ergo tanto tardius
uidebitur moueri axis ipſo orbe, quanta eſt proportio minoris in
æqualitatis ipſius axis, ſeu ambitus, ſeu ſemidimetientis ad ambi­
tum, ſeu ſemidimetientem orbis.
Propoſitio quinquageſimaquarta.
Proportio circuli ad ſuum diametrum per ſimilitudinem eſt quar­
ta pars peripheriæ.
Rurſusque eiuſdem circuli ad peripheriam diame
tri quarta pars.
Co^{m}.
Quoniam enim ſuperficies circuli, ut ab
59[Figure 59]
Archimede demonſtratum eſt, fit ex dimi­

dio diametri in dimidium peripheriæ erit, ut
eadem fiat ex tota peripheria in quartam par
tem diametri, & ex tota diametro in quar­
tam partem peripherię.
ergo proportio areę
circuli ad diametrum per ſimilitudinem

eſt quarta pars peripherię, & proportio areę
ad peripheriam eſt quarta pars dimetientis, quod erat probandum.
Per 16. ſex
ti Element.
Per 2. diff.
Propoſitio quinquageſima quinta.
Proportionem medicamentorum per ordines ſuppoſita æquali
proportione in ordinibus per quantitates, & proportiones de­
monſtrare.
Co^{m}.
Galenus libro quinto de Simplicibus medicamentis, quem ſe­

quuti ſunt alij medici, ponit quatuor ordines medicamentorum iux­
ta qualitates calidi, frigidi, ſicci, & humidi, & primus eſt cum medi­
camentum
non ſentitur quale ſit licet operetur, uelut camęmelon, ab­
ſynthium, & oriza: ſecundus eſt, cum ſentitur, ſed non lædit, ut nux
myriſtica, ſaluia, ozimum: tertius eſt cum ſentitur, & lædit, ſed
non deſtruit, neque corrumpit corpus, uelut aſſarum apium ſta­
phiſagria, cappares, myrrha, ruta: quartus eſt, cum deſtruit ue­
lut pyretrum, piper, euphorbium cæpe aggreſte, & ſinapis,

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