Tartaglia, Niccolo, Quesiti et inventioni diverse, 1554

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                <s id="s.002142">QVESITO XIII. FATTO DA MAESTRO ANTONIO
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                V
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                eroneſe, Zenero de Maeſtro Franceſco Feliciano adi. </s>
                <s id="s.002143">16.
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                Settembrio. </s>
                <s id="s.002144">1527. in Verona.
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                </s>
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                <s id="s.002145">MAESTRO ANTONIO. Q
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                ueſta notte, quando, che non poteua dormi­
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                re, me ho imaginato una queſtione aſſai bella, uero è, che io non ho anchora ritro
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                uato el modo da riſoluerla, & la ho detta anchora al mio ſuocero, & ue la uoglio dire
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                anchora à uoi, accio, che ui fantasticati anchora uoi ſopra.
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                N. D
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                itela di gratia.
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                M.A. E
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                glie una figura Rhombica, che cadauno di ſuoi lati è piedi.10.& ha de area
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                piedi 72.ſuperficiali, domando che proportione é dal diametro maggiore al diame­
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                tro menore.
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                N. Q
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                ueſta non mipare molto forte questione, perche diuidendo el det
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                to Rhombo in dui triangoli, cadauno de detti
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                uenira à eſſer diſuperficie. </s>
                <s id="s.002146">36.
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                & uolendo ſapere quanto ſia la baſa de cadauno, io ponero, che tal baſa ſia una coſa,
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                trouo la ſua perpendicolare, & trouo, che tal perpendicolare è.
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                <22>.
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                uniuerſale de.100.
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                men un.1/4.de cenſo, & ſimelmente ritrouo larea ſua coſi ſordamente quale ſara.
                  <emph.end type="italics"/>
                <22>.
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                uniuerſale de.25.cenſi, men.1/16.cenſo de cenſo, & queſto ſara equale à. </s>
                <s id="s.002147">36. quadro
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                ambi li termini, me uenira.1296.equal à.25.cenſi, men.1/16. cenſo de cenſo, leuo li
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                rotti, & riſtoro le parti, & ſeguitc el capitolo, & ritrouo la coſa ualer la.
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                <22>.
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                uniuer­
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                ſal de.200 piu.
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                <22>.19264.
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                & queſto ſara el maggior diametro del detto Rhombo, &
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                el menore uenira ad eſſer.
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                <22>. </s>
                <s id="s.002148">V.200.
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                men.
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                <22> 19264.
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                ſi che la proportione del diame­
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                tro maggior al diametro menor ſaria, come, che é dal detto diametro maggiore al det­
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                to menore, che é il propoſito.
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                M.A. V
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                oi diceti, che tal questione non é molto forte,
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                & à me lame pare molto difficile.
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                <s id="s.002149">QVESITO XIIII. QVAL MI FV MANDATO A
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                V
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                erona da un Maeſtro Zuanne de Tonini da Coi, qual tene­
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                ua ſchola in Breſſa, & me lo portò meſſer pre
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                Antonio da Cellatica l'anno.
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                1530.</s>
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                <s id="s.002150">MAESTRO ZVANNE. T
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                rouatime un numero, qual multiplicato per la
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                ſua Radice piu:3.mi faccia.5. Simelmente trouatime.3.numeri, ma chel ſe­
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                condo ſia.2.piu del primo, & chel terzo ſia pur.2.piu del ſecondo, & che multipli­
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                cato el primo fia el ſecondo, et quel produtto fia el terzo faccia.
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                1000. N. M.Z
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                uane,
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                uoi me haueti
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                queſti uostri dui queſiti, come coſe impoßibile da riſoluere, ouer
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                ignorate da uoi, <21>che
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                <21> Algebra, el primo
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                  <expan abbr="l'operãte">l'operante</expan>
                , in.1.cubo piu
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                3.cẽſi egual à.5.et il
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                in.1.cubo piu.6.cẽſi piu.8.coſe equal à.1000.li quali capi
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                toli <21> fin à <34>sto
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                é ſtato giudicato da
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                F. L
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                uca, & altri eſſer impoßibile à riſoluerli
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                <21> regola generale,
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                con tai queſiti di farui cauallero ſopra di me, & da farui
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                tenere un grandißimo Mathematico, come che ho inteſo, che fati con tutti li altri pro
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                feſſori di tal ſcientia li in Breſſa, li quali per tema de tai uoſtri Queſiti, non oſſano à
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                parlar conuoi, & forſi meglio intendano in tal faculta di uoi, ma per non eſſer aduer
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                titi
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                , che baſti, credono, che uoili ſappiatireſoluere, e <21> questo ui cedono in tutto.
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