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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IO. BAPT. BENED.
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.</
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<
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quoque via prædicti effe
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ctus cauſa, ſpeculando inno-
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teſcere poteſt, cuius rei gratia for-
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eiuſmodi, vt
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ſit numerus li-
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linearis integrorum, &
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produ-
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ctum numerantis ipſorum
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in integris, ex quo
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tertiæ, verbigratia,
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aut
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qua-
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ſingulę ſtatuuntur æqua
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les vnitati lineari, ſuperficies autem
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conſtituatur
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ex quo
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perficies. </
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titas partium
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quam in propoſi-
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to exemplo diximus eſſe trium par-
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tium. </
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">ex regula igitur de tribus, di-
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cemus ſi
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dat
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ſine dubio
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a.</
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dabit
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numerum linearem.
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quæ regula ex 15. ſexti in continuis,
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& ex 20. ſeptimi in diſcretis, depro-
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mitur. </
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fra-
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cti numerantes cum integris, & productum diuiditur per
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fractorum.</
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<
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& alia ſpeculatione cognoſci poteſt hoc rectè fieri, mul-
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tiplicantes enim has duas tertias per decem, debemus conſide-
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xlink:href
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rare quantitatem duarum
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decies produci, ex quo oriuntur
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20. tertia, quandoquidem ſingulæ vnitates, </
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tijs ſumuntur, ſed c
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um quilibet integer tria fragmenta contineat,
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ideo ex ratione partiendi quoties ternarius ingrediatur viginti,
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ſtatim cognoſcemus quod optabamus.</
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<
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derentur. quo facto hi multiplicandi eſſent cum numerante propo
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ſito, &
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productum per quadratum denominantis.</
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<
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conſtans ex
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integris numeris, quorum
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æqualis ſit
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vel
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&
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ſint duo tertia vnitatis integræ linearis. </
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integros diuidi in ſua
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linearia, quę in propoſito exemplo
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erunt 15. multiplicatis iam 15. cum propoſitis, videlicet
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var
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>
orie-
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tur productum
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var
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>
triginta fragmentorum ſuperficialium,
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in ſingulos integros ſuperficiales
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in hoc
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, & cum
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notauerimus quoties
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ingrediatur triginta, propoſitum con-
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ſequemur.</
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