Tartaglia, Niccolo, Quesiti et inventioni diverse, 1554

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              <pb pagenum="34" xlink:href="042/01/067.jpg"/>
              <p type="head">
                <s id="s.000735">QVESITO NONO FATTO DAL MAGNIFICO
                  <lb/>
                S
                  <emph type="italics"/>
                ignor Giulio Sauorgnano.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="s.000736">SIGNOR GIVLIO E
                  <emph type="italics"/>
                glie una balla, che per diametro è onze quatro di mi
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                ſura, & peſa lire otto, hor ue adimando quanto peſaria unaltra, che fuſſe per dia
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                metro onze.
                  <emph.end type="italics"/>
                6. N. L
                  <emph type="italics"/>
                a peſaria lire.
                  <emph.end type="italics"/>
                27. S. G. C
                  <emph type="italics"/>
                ome è poßibile, che una balla, che
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                ſia per diametro onze. </s>
                <s id="s.000737">6. de miſura (che ſaria mezzo pie) non peſi piu de lire. </s>
                <s id="s.000738">27. an
                  <lb/>
                zi tengo, che debbia peſare piu de lire.
                  <emph.end type="italics"/>
                60. N. E
                  <emph type="italics"/>
                glie il uero, che ſe tal balla fuſſe di
                  <lb/>
                ferro, et che per diametro la fuſſe onze. </s>
                <s id="s.000739">6. de miſura ordinaria (che ſaria me
                  <emph.end type="italics"/>
                zz
                  <emph type="italics"/>
                o pie)
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                ſenza dubbio tengo, che peſaria circa à dette lire.
                  <emph.end type="italics"/>
                60. S. G. P
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                erche diceti adunque
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                che la peſara ſolamente lire.
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                27. N. I
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                o dico, che la peſara lire. </s>
                <s id="s.000740">27. stante, che quella
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                che è di diametro onze quattro peſi ſolamente lire otto: maſe tal balla fuſſe de ſerro,
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                & che de diametro la fuſſe (come è detto) onze quattro de miſura ordmaria (cioe un
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                terzo dun pie) la peſaria piu de lire. </s>
                <s id="s.000741">18. uel circa, e pero io ho riſposto ſecondo la pro
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                poſta.
                  <emph.end type="italics"/>
                S. G. E
                  <emph type="italics"/>
                t come haueti trouato quelle lire.
                  <emph.end type="italics"/>
                27. N. I
                  <emph type="italics"/>
                o le ho ritrouate in que­
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                ſto modo, io ho cubato quelle onze. </s>
                <s id="s.000742">4. (diametro della prima balla) el cubo delle quale
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                è. </s>
                <s id="s.000743">64. &
                  <expan abbr="ſimelmẽte">ſimelmente</expan>
                ho cubato quelle. </s>
                <s id="s.000744">6. onze (diametro della
                  <expan abbr="ſecõda">ſeconda</expan>
                balla) el cubo del
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                le quale è. </s>
                <s id="s.000745">216. et dapoi per la regola del tre, dico: ſe. </s>
                <s id="s.000746">64. peſa lire. </s>
                <s id="s.000747">8. che peſara. </s>
                <s id="s.000748">216.
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                multiplico, & parto ſecondo l'ordine di tal regula, & mene uenuto le dette lire. </s>
                <s id="s.000749">27. e
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                pero ho concluſo, che la detta ſeconda balla peſaria lire. </s>
                <s id="s.000750">27. ſtante che la prima peſaſ­
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                ſe ſolamente lire.
                  <emph.end type="italics"/>
                8. S. G. V
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                eho inteſo benißimo.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="head">
                <s id="s.000751">QVESITO DECIMO FATTO DA M. ZANAN­
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                  <emph type="italics"/>
                tonio di Ruſconi Pittor, & Architettor.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="s.000752">ZANANTONIO E
                  <emph type="italics"/>
                glie una balla, che per diametro è. </s>
                <s id="s.000753">5. deda ui
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                adimando
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                come faro io aritrouare quanto che ſia el diametro duna altra balla che ſia dop­
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                pia à questa.
                  <emph.end type="italics"/>
                N. V
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                oi doueti cubar quelli cinque deda de diametro, el qual cubo ſara
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                125. & questo. </s>
                <s id="s.000754">125. uoi lo adoppiareti, fara. </s>
                <s id="s.000755">250. & la radice cuba di queſto. </s>
                <s id="s.000756">250. ſa­
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                ra el diametro di quella
                  <expan abbr="ſecõda">ſeconda</expan>
                balla (doppia alla prima) la qual radice cuba de 250.
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                cauandola per el modo, che ui ho moſtrato uoi trouareti, che la ſara alquanto piu de
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                ſei deda, cioe ui auanzara. </s>
                <s id="s.000757">34. rotti.
                  <emph.end type="italics"/>
                Z. C
                  <emph type="italics"/>
                ome mi debbio gouernare con quello. </s>
                <s id="s.000758">34.
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                che mi auanza per formar il conueniente rotto da accompagnar con quelli ſei deda.
                  <emph.end type="italics"/>
                  <lb/>
                N. L
                  <emph type="italics"/>
                a bona regola di formar el rotto di quel reſiduo, che auanza nella eſtratione
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                della radice cuba (nelli numeri non cnbi) per fin à queſta hora maiho ritrouato in al­
                  <lb/>
                cun Autore, che di tal materia habbia trattato, che l'habbia rettamente inteſa, & que
                  <lb/>
                ſto procede (ſe non me inganno) perche el retto modo da cauar la detta radice cuba,
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                dalla maggior parte è ignorato,
                  <expan abbr="nõ">non</expan>
                dico ignorato, che quelli tali
                  <expan abbr="nõ">non</expan>
                la ſappiano caua
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                re, ouer che le regole da lor poſte, non ſeruino per cauarla, ma uoglio dire, che tai
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                ſue regole non procedeno per la uera, & retta uia naturale, perche ſe queſti tali proce
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                deſſeno per la ſua rettauia nel cauar la detta radice cuba, & che intendeßino po
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                la
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                cauſa di tal ſuo operare, facile ui ſaria ad aßignare con ragione la uera regola da
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                </s>
              </p>
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