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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1nuatim ſolum uſura adijcitur ſorti, ſufficiet diuidere 2 992/6283 per 15 35/492
ſcilicet multiplicando per 12 numerum menſium 2 992/6283 fit 25 5621/6283 di­
uide 25 5621/6283 per 15 35/492, exit menſis unus, & dies 21, detrahe ex 27 an­
nis, remanent anni 26, menſes 10, dies 9, in quo tempore habuit
4000 aureos coronatos.
Vſura autem fuit ut uiſum 13/70, igitur per re­
gulam trium duc 13 in 100 fit 1300, diuide 1300 per 70 exit 18 4/7 &
tanta fuit pro centum.
Et cum computaueris in tribus annis, acqui­
rit modico plus beſſe eius, quod habet.
Et ita in 13 annis, & parua
illa parte perueniet ad decuplum eius, quod habet, ſcilicet 4000 au
reorum, & habebit aureos 40000, ut propoſitum eſt.
Co^{m}.
Per 136.
Propoſ.
Anni Aurei 1 1 13/70 2 1 67/165 5 2 7/23 6 2 118/161 7 3 14/61 10 5 3917/12566 20 31 38/61 40 1000
SCHOLIVM.
In propoſita proportione numero que terminorum rediuiuam u­
ſuram inuenire.
Sit gratia exempli, in ſex annis uſura rediuiua uigeſimæ, erit­
qúe proportio 21/20, cuius numeratorem ſexies ducam in ſe primum
bis fit 441: ergo ducto 441 in ſe fit qúe 194481 ductum in 441
fit 85766121 ſexies ductum 21, quinquies autem ducam 20 deno­
153[Figure 153]
minatorem in ſe fit bis 400, ter 8000,
quinquies ergo 3200000, diuide nume­
ratorem per denominatorem abiectis
quinque notis erit 26 2566121/3200000. Quæ propor
tio eſt proxima 26 4/5 ad 20, & ita ut 134 ad
100. Et ſi pigeret tædij aut laboris poſſes
pro xij annis, ducere 134 in ſe, & fit 17956
diuide per 100 eadem ratione, exit 179 14/25
& ita 100 in xij annis, fit tantundem.
Et
ita pro xviij & xx annis.
Propoſitio centeſima quadrageſima tertia.
Si linea in duas partes diuidatur, corpora, quæ fiunt ex una par­
te in alterius quadratum mutuò æqualia ſunt corpori, quod fit ex
tota linea in ſuperficiem unius partis in alteram.
Co^{m}.
Sit a c diuiſa in a b, b c quadratum a b ſit
154[Figure 154]
a d, quadratum b c, ſit b e parallelogrammum
ex a b in b e, a f dico quòd corpora ex a b in
b e, & b c in a d æqualia ſunt corpori ex a c
in a f.
Quia enim corpus ex a c in a f conſtat
ex a b in a f, & b c in a f, per primam ſecun­

di Elementorum.
corpus autem ex a b in a f
eſt æquale corpori ex b c in a d, & corpus
ex b c in a f eſt æquale corpori ex a b in b c
igitur conſtat propoſitum.

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