Tartaglia, Niccolo, Quesiti et inventioni diverse, 1554

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              <p type="main">
                <s id="s.002996">
                  <pb xlink:href="042/01/243.jpg"/>
                  <emph type="italics"/>
                la non ue interponga, li mei capitoli.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="s.002997">C
                  <emph type="italics"/>
                irca al detto mio capitolo de coſa è cubo equal à numero molto mi marauiglio che
                  <lb/>
                uoſtra
                  <expan abbr="eccellẽtia">eccellentia</expan>
                  <expan abbr="nõ">non</expan>
                habbia inteſo maßime che io parlo chiaro nel detto mio capitolo,
                  <lb/>
                ma ho penſato che uoi ui ſiati ingannato in quel ditto, che dice al terzo cubo delle coſe
                  <lb/>
                netto, cioe penſo che uoi habbiati tolto il terzo del cubo delle coſe, et biſogna tor il cu
                  <lb/>
                bo del terzo delle coſe eſſempi gratia à uoler riſoluere quella equatione de. </s>
                <s id="s.002998">1. cubo piu.
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                </s>
                <s id="s.002999">3. coſe equal à. </s>
                <s id="s.003000">10. che uoſtra
                  <expan abbr="eccellẽtia">eccellentia</expan>
                mi ha mandata dico che biſogna trouar dui nu
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                meri (ouer quantita) che la differentia de luno à laltro ſia. </s>
                <s id="s.003001">10. (cioe tanto quanto è
                  <lb/>
                il noſtro numero) & che il produtto de queſte due quantita multiplicate luna fia l'al­
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                tra facciamo à ponto. </s>
                <s id="s.003002">1. cioe el cubo della terza parte delle coſe, liquali dui numeri,
                  <lb/>
                ouer quantita, operando per Algebra, ouer per qual altra uia para piu commoda ſe
                  <lb/>
                trouara luna de loro, cioe la menore eſſer
                  <emph.end type="italics"/>
                <22>. </s>
                <s id="s.003003">26.
                  <emph type="italics"/>
                men. </s>
                <s id="s.003004">5. & laltra, cioe la maggiore
                  <emph.end type="italics"/>
                <22>
                  <lb/>
                26.
                  <emph type="italics"/>
                piu. </s>
                <s id="s.003005">5. Hor de cadauna di queſte due quantita biſogna trouar il ſuo lato cubo, cioe
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                la ſua
                  <emph.end type="italics"/>
                <22>.
                  <emph type="italics"/>
                cuba, & quella della menor ſara
                  <emph.end type="italics"/>
                <22>.
                  <emph type="italics"/>
                uniuerrſale cuba de
                  <emph.end type="italics"/>
                <22>. </s>
                <s id="s.003006">26.
                  <emph type="italics"/>
                men. </s>
                <s id="s.003007">5. & quel­
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                la della maggiore ſara
                  <emph.end type="italics"/>
                <22>.
                  <emph type="italics"/>
                uniuerſale cuba de
                  <emph.end type="italics"/>
                <22>. </s>
                <s id="s.003008">26.
                  <emph type="italics"/>
                piu. </s>
                <s id="s.003009">5. Hor biſogna ſottrare il lato
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                menore del maggiore, et il reſtante ſara el ualore della noſtra coſa principale, el qual
                  <lb/>
                  <expan abbr="restãte">restante</expan>
                uenira à eſſer el reſiduo di quelle due
                  <emph.end type="italics"/>
                <22>.
                  <emph type="italics"/>
                uniuerſale cu.cioe ſara
                  <emph.end type="italics"/>
                <22>.
                  <emph type="italics"/>
                u.cu.
                  <emph.end type="italics"/>
                <22>. </s>
                <s id="s.003010">26.
                  <lb/>
                  <emph type="italics"/>
                piu. </s>
                <s id="s.003011">5. men
                  <emph.end type="italics"/>
                <22>.
                  <emph type="italics"/>
                u.cuba
                  <emph.end type="italics"/>
                <22>. </s>
                <s id="s.003012">26.
                  <emph type="italics"/>
                me. </s>
                <s id="s.003013">5. & tanto ualſe la noſtra coſa principale, la qual con­
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                cluſione, oltra che la iſperienza ne renda bona testimonianza, cioe cubando la detta
                  <lb/>
                quantita, ouer coſa, & à tal cubo giongendoui il triplo di detta quantita tal ſumma fa
                  <lb/>
                ra preciſamente. </s>
                <s id="s.003014">10. come ſe propone, ma anchora
                  <expan abbr="Geometricamẽte">Geometricamente</expan>
                facilmente ſe di
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                moſtra la bonta et cauſa di tal operare, &
                  <expan abbr="quãdo">quando</expan>
                chel fuſſe. </s>
                <s id="s.003015">1. cubo piu. </s>
                <s id="s.003016">1. coſa equal
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                à. </s>
                <s id="s.003017">11. biſognaria pur trouar dui numeri, ouer quantita, che luna fuſſe. </s>
                <s id="s.003018">11. piu de laltra,
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                & che il produtto de luna in laltra faccia. </s>
                <s id="s.003019">1/27. cioe il cubo del terzo delle coſe, onde
                  <lb/>
                  <expan abbr="operãdo">operando</expan>
                come diſopra fu fatto ſe trouara la noſtra coſa ualer
                  <emph.end type="italics"/>
                <22>.
                  <emph type="italics"/>
                u.cuba
                  <emph.end type="italics"/>
                <22>. </s>
                <s id="s.003020">30.31/108.
                  <lb/>
                  <emph type="italics"/>
                piu. </s>
                <s id="s.003021">5. 1/2. men
                  <emph.end type="italics"/>
                <22>.
                  <emph type="italics"/>
                u.cuba
                  <emph.end type="italics"/>
                <22>. </s>
                <s id="s.003022">30.31/108.
                  <emph type="italics"/>
                men, 5. 1/2. non altro Iddio da mal ui guardi in Ve
                  <lb/>
                netia alli. </s>
                <s id="s.003023">23. di Aprile. </s>
                <s id="s.003024">1539. aricordatiue della promeſſa.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="s.003025">N
                  <emph type="italics"/>
                icolo Tartaglia
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                </s>
              </p>
              <p type="head">
                <s id="s.003026">QVESITO. XXXVI FATTO DALLA ECCEL­
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                  <emph type="italics"/>
                lentia de meſſer Hieronimo Cardano con una ſua lettera
                  <lb/>
                fatta all. </s>
                <s id="s.003027">12. di Mazzo.
                  <emph.end type="italics"/>
                1539.</s>
              </p>
              <p type="main">
                <s id="s.003028">MESSER HIER ONIMO. I
                  <emph type="italics"/>
                n riſpoſta de una uoſtra delli. </s>
                <s id="s.003029">23. d'Aprile,
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                hauuta non hieri l'altro, meſſer Nicolo carißimo, ui riſpondero ſucintamente à
                  <lb/>
                partita per partita, & prima, quanto alla eſcuſatione del eſſer partito, ſenza andar à
                  <lb/>
                Vigeueno. </s>
                <s id="s.003030">Io non uoglio ſaluo quello che uoleti uoi, me rincreſſe l'habbiati pigliato
                  <lb/>
                queſta fatica per cauſa della mia amicitia ſenza frutto alcuno.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="s.003031">Q
                  <emph type="italics"/>
                anto à l'opera che ſia fornita per cauarui di ſoſpetto ue ne mando una e ue la
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                mando disligata che non ho uoluto farla battere per eſſer troppo freſca,
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                </s>
              </p>
              <p type="main">
                <s id="s.003032">Q
                  <emph type="italics"/>
                uanto al capitolo uostro & al mio caſo per uoi aſſolto ue ne ringratio
                  <expan abbr="ſingola-rißimamẽte">ſingola­
                    <lb/>
                  rißimamente</expan>
                , & laudo il uoſtro ingegno ſopra tutti quelli che ho conoſciuti, & me ſta-
                  <emph.end type="italics"/>
                </s>
              </p>
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