Tartaglia, Niccolo, Quesiti et inventioni diverse, 1554

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                <s id="s.002102">QVESITO QVINTO FATTOMI DA
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                un Fiorentino.1526.in Verona.
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                <s id="s.002103">FIORENTINO. E
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                gliera un contadino qual eſſendo infermo, & trouan­
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                doſi hauer duc.17.1/2. & hauendo trei figliuoli, laſſa che morendo li detti ſuoi
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                trei figliuoli ſe diuideſſono li detti ducati.17.1/2.egualmente fra loro, cioe che cadau­
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                no ſe ne pigliaſſe la terza parte. </s>
                <s id="s.002104">Accade che coſtui more, & li detti figliuoli corſe­
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                no alla caſſa doue erano li detti danari, & cadauno comincio à grapire di quelli meglio
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                che pote, cioe che piu, e chimeno diquello ſe gli aſpettaua. </s>
                <s id="s.002105">Ilche inteſo da un ſuo bar­
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                bano, quel uene, & fece che il figliolo maggiore metteſſe zoſo la mita, & ſe reteneſſe
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                laltra mita de tutti quelli danari, che haueua aggrapiti, & ſimelmente fece che laltro
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                ſecondo fratello meteſſe zoſo liduiterzide detti danari & che ſe reteneſſe laltro ter
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                zo per ſe & ſimelmente fece che il terzo figliolo meteſſe zoſo litre quarti dedetti de­
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                nari, & che ſe reteneſſe laltro quarto per ſe, & tutto quello nnmero de denari, che fu
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                poſto zoſo il detto ſuo barbano lo diuiſe in treparti equali, & a cadauno di loro dete
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                una de dette parti, & fatto queſto cadauno di loro ſi trouo hauer il ſuo douere, cioe tan
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                to luno quanto laltro. </s>
                <s id="s.002106">Hor ue adimando quanti denari tolſe cadauno de loro doppo la
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                morte del padre.
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                N. E
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                l primo tolſe duc. </s>
                <s id="s.002107">3.8/9.il ſecondo duca.5.15/18.il terzo.
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                7.7/9
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                F. </s>
                <s id="s.002108">E
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                con cheregola lo ritrouati.
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                N. Q
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                ueſti li ritrouo per la coſa (uero è, che an­
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                chor per altre uie ſe potriano trouare) cioe pongo, che tutto quello che fu posto giuſo
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                da tutti tre fuſſe.1.coſa, & quella diuido in tre parti ne uien.1/3.co, & perche ſo che
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                con la gionta di queſto. </s>
                <s id="s.002109">1/3.co.cadauno di loro fece duc.5. 5/6.adunque auanti di quella
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                cadauno haueua duc.5.5/6.men.1/3. co.la qual quantita uien à eſſer la mita di quello, che
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                nel principio tolſe il primo, & il terzo di quello tolſe il ſecondo, & il quarto di quello
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                tolſe il tolſe il terzo, e pero moltiplico l'una per.2.l'altra per.3.& l'altra per.4.&
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                la ſumma di tai moltiplicationi (quale ſara.52.1/2.men.3.coſe) diro che ſia eguale à duc.
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                7.1/2.
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                leuo li ſuperflui, & restoro le parti, & ſeguito il capitolo, & trouo la coſa ua­
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                ler.11.2/3.& tanto fu poſto giuſo da tutti, & queſto lo diuido poi per.3.ne uien.3.8/9.
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                qual ſottratto da duc.5.5/6.reſta duc.1.17/18. & tanto reſto à cadauno dapoi che heb­
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                ben poſto giuſo. </s>
                <s id="s.002110">Et perche queſto duc.1.17/18 uien à eſſer la mita di quello che tolſe,
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                nel principio il primo, & il terzo del ſecondo, & il <27>uarto del terzo, moltiplico il det
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                to duc.1.17/18. per.2.& poi per.3.& poi per.4.& li tre produtti conchiudo eſſer
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                quello che cadauno di loro tolſe nel principio, le qual moltiplicationi produranno, co­
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                me nel principio fu conchiuſo, cioe il primo tolſe nel principio duc.3.8/9. il ſecondo duc.
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                </s>
                <s id="s.002111">5.15/18. il terzo duc.
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                7.7/9. F. V
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                e ringratio aſſai.
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                </s>
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                <s id="s.002112">QVESITO SESTO FATTODA VN MAESTRO
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                A
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                louiſe Pirouano Milaneſe l'Anno.
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                1529.</s>
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                <s id="s.002113">MAESTRO ALOVISE. T
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                rouatemi.2.numeri che li.
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                2/
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                .
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                dell'uno ſia li.
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                </s>
                <s id="s.002114">3/7.dell'altro, & che queſti dui numeri facciano tanto aggionti inſieme, come
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                che moltiplicati l'uno fia l'altro,
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                N. L
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                'uno de queſti numeri, cioe il maggiore ſara. </s>
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