Benedetti, Giovanni Battista de
,
Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]
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EPISTOL AE.
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0421
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xml:space
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">SOLVTIO CVIVSDAM QVÆSITI.</
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<
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">TVI quæſiti ſolutio quam neſcio quis te docuit, valde diuerſa eſt à vera.
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<
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">quæſitum enim tale fuit.</
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<
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xml:space
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">Reperiuntur quatuor ſocij, Ludouicus, Hieronymus, Franciſcus, & Lau
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rentius quorum primus, Ludouicus ſcilicet, poſuit aureos .6000. Hierony
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mus verò aureos .5000. Franciſcus autem .2000. & Laurentius .1000. quorum ſum-
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ma faciebat aureos .14000. </
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<
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xml:space
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">interim tamen de tali ſumma Ludouicus recepit aureos
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2000. Hieronymus verò .1000. Franciſcus autem .900. & Laurentius .800. quapro-
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pter in ſumma reſidua Ludouicus non habebat niſi aureos .4000. Hieronymus
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4000. Franciſcus .1100. & Laurentius .200. quorum ſumma erat .9300. </
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xml:space
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tem iſti ſocij cupiunt augere hanc ſummam per aureos .20000. tali tamen conditio-
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ne quod quilibet tantum tribuat vt in totali ſumma, tantam partem unus habeat,
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quantam alter.</
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<
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">Hoc autem problema tam ſacile eſt, & cum ſuo theoremate ita coniunctum, quod
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miror amicum noſtrum illud illico non vidiſſe.</
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<
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">Accipe igitur illos aureos .20000. & eos collige cum ſumma .9300. vnde habebis
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aureos .29300. pro
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totali, cuius quarta pars erit .7325.
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poſtea
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habebit in dicta ſumma. </
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xml:space
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">Sed ut reperias quantitatem aureorum quam quilibet
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prius debet contribuere, vt poſtea habeat aureos .7325. in dicta ſocietate. </
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vt Ludouicus demat illos aureos .4000. quos demum habebat, ex .7325. reliquum
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autem erit .3325. qui quidem numerus erit aureorum nunc contribuendorum ipſius
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Ludouici. </
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xml:space
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.3325. pro con
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tributione ipſius Hieronymi. </
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xml:space
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">Deinde ſi ex .7325. extracti fuerint aurei .1100. relin-
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quent .6225. pro contributione Franciſci. </
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xml:space
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">Demptis demum .200. ex .7325. reſidui
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erunt .7125. pro contributione Laurentij, & ſic quilibet habebit æqualem portio-
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nem in totaliſumma.</
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unius ſpeciei in aliam.</
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xml:space
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cuiuſuis
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numeri illorum numiſmatum, quæ hic vocantur Blanci, cum ſexta parte eiuſ
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dem medietatis, ſemper ſit numerus florenorum huius prouinciæ. </
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<
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tia, quotieſcunque reducere voluerimus .48. Blancos in Florenos, ſi medietati ip-
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ſius .48. hoc eſt .24. adiecta fuerit ſexta pars ipſius medietatis, quæ eſt .4. </
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<
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mus .28. & ita dicemus quod .48. Blanci conſtituunt Florenos .28. quod quidem
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verum eſt.</
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<
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<
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xml:space
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">Nam vnuſquiſque Blancus diuidi-
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tur in .7. æquales partes, quarum .12. conſtituunt vnum Florenum, horum verò nu-
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miſmatum communis menſura, vocatur Groſſus, vt ſcis, ex quo ſequitur, quod ſi </
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