Tartaglia, Niccolo, Quesiti et inventioni diverse, 1554

List of thumbnails

< >
251
251 		252
252
253
253 		254
254
255
255 		256
256
257
257
< >
page |< < of 257 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <p type="main">
                <s id="s.003409">
                  <pb pagenum="128" xlink:href="042/01/256.jpg"/>
                  <emph type="italics"/>
                l'anno. </s>
                <s id="s.003410">1536. la notte de ſan Martin, laqual feſta fu in ſabbo, fantaſticando in letto quan
                  <lb/>
                do che non potea dormire trouai la regola generale allo capitolo de cenſo de cubo; &
                  <lb/>
                cubi, equal à numero & ſimelmente alli altri dui ſuoi compagni, nella medeſima notte,
                  <lb/>
                il che non me fu difficile anchor che fuſſeno compoſti di piu alte dignita di coſa è cubo
                  <lb/>
                equal à numero, per eſſer di megliore proportionalita & la ſua regola è piu facile, &
                  <lb/>
                di piu amena concluſione & piu uniuerſale, perche quella ne ſerue ſi nelle
                  <expan abbr="cõcluſioni">concluſioni</expan>
                ra
                  <lb/>
                tionale come nelle irrationale.
                  <emph.end type="italics"/>
                M.R. H
                  <emph type="italics"/>
                or queste hauero molto accaro de intende­
                  <lb/>
                re nanti che me parta da uoi et forſi piu di quelle di
                  <expan abbr="cẽſi">cenſi</expan>
                è cubo equal à numero, et delli
                  <lb/>
                altri dui ſuoi compagni, per eſſer, come haueti detto, di piu amena concluſione, e pe
                  <lb/>
                ro datemene una nota.
                  <emph.end type="italics"/>
                N. P
                  <emph type="italics"/>
                igliati la penna, & ſcriueti in queſta forma.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="s.003411">Q
                  <emph type="italics"/>
                uando li cenſi de cubi inſieme con li cubi ſe eguagliarano al numero reccareti la
                  <lb/>
                equatione à un cenſo de cubo. </s>
                <s id="s.003412">Dapoi smezzareti li cubi, & tal mita multiplicareti in
                  <lb/>
                ſe medeſima & à tal quadrato aggiongereti el numero & di quella ſumma cauaretine
                  <lb/>
                la Radice quadrata & di tal radice quadrata cauaritene la mita di cubi & la radice cu
                  <lb/>
                ba del rimanente ualera la coſa. </s>
                <s id="s.003413">Eſſempio in numeri diſcreti per uoſtra maggior intel
                  <lb/>
                ligentia, (elqual eſſempio non ſe potria dar in el capitolo de coſa è cubo equal à nume
                  <lb/>
                ro, & altri ſuoi ederenti, ne in quello de cenſo, e cubo equal à numero, & ſuoi edderen
                  <lb/>
                ti
                  <emph.end type="italics"/>
                ). 1.
                  <emph type="italics"/>
                cubo de cenſo piu. </s>
                <s id="s.003414">4. cubi equal à. </s>
                <s id="s.003415">96. ſmezzo li cubi mene uien. </s>
                <s id="s.003416">2. lo quadro fa.
                  <lb/>
                </s>
                <s id="s.003417">4. gli agiongo el numero fa. </s>
                <s id="s.003418">100. ne cauo la radice quadra qual é. </s>
                <s id="s.003419">10. et di queſto. </s>
                <s id="s.003420">10.
                  <lb/>
                ne cauo, la mita del numero di cubi qual è. </s>
                <s id="s.003421">2. reſta. </s>
                <s id="s.003422">8. & la radice cuba de. </s>
                <s id="s.003423">8. qual e. 2.
                  <lb/>
                ual la noſtra coſa el ſimile oſſeruareti quando che fuſſeno quantita irrationale. </s>
                <s id="s.003424">Hor
                  <lb/>
                per el ſecondo ſcriueti in queſta forma.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="s.003425">Q
                  <emph type="italics"/>
                uando li cenſi de cubi, ſe eguagliano alli cubi, & al numero, fareti come di ſopra,
                  <lb/>
                cioe reccareti tutta la equatione à un cenſo de cubo, dapoi ſmezzati li cubi & tal mita
                  <lb/>
                multiplicati in ſe & à tal multiplicatione, ouer quadrato aggiongereti el numero, &
                  <lb/>
                di tal ſumma cauaretine la
                  <emph.end type="italics"/>
                <22>.
                  <emph type="italics"/>
                quadra alla qual
                  <emph.end type="italics"/>
                <22>.
                  <emph type="italics"/>
                quadra aggiongereti la mita di cubi
                  <lb/>
                & la
                  <emph.end type="italics"/>
                <22>.
                  <emph type="italics"/>
                cuba di tal ſumma ualera la coſa. </s>
                <s id="s.003426">Eſſempio in numeri diſcreti.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="s.003427">S
                  <emph type="italics"/>
                ia. </s>
                <s id="s.003428">1. cubo de cenſo egual à. </s>
                <s id="s.003429">4. cubi piu. </s>
                <s id="s.003430">32. ſmezzo li. </s>
                <s id="s.003431">4. cubi ne uien. </s>
                <s id="s.003432">2. lo quadro
                  <lb/>
                fa. </s>
                <s id="s.003433">4. gli aggiongo il numero, cioe. </s>
                <s id="s.003434">32. fa. </s>
                <s id="s.003435">36. ne piglio la
                  <emph.end type="italics"/>
                <22>.
                  <emph type="italics"/>
                quadra qual è. </s>
                <s id="s.003436">6. alla qual
                  <lb/>
                gli aggiongo la mita di cubi, che é. </s>
                <s id="s.003437">2. fa. </s>
                <s id="s.003438">8. & la
                  <emph.end type="italics"/>
                <22>.
                  <emph type="italics"/>
                cuba de. </s>
                <s id="s.003439">8. qual è. </s>
                <s id="s.003440">2. ualera la coſa,
                  <lb/>
                & per ſimil modo ſe doueria procedere quando che ne riſultaſſe quantita irrationale.
                  <lb/>
                </s>
                <s id="s.003441">Hor per el terzo ſcriueti in queſta forma.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="s.003442">Q
                  <emph type="italics"/>
                uando li cenſi de cubi piu numero, ſe eguagliano alli cubi, reccareti la equatione
                  <lb/>
                tutta à un cenſo di cubo. </s>
                <s id="s.003443">Dapoi ſmezzareti li cubi & tal mita multiplicareti in ſe, &
                  <lb/>
                di quel produtto, ouer quadrato ne cauareti el numero, & del rimanente ne trouareti
                  <lb/>
                la
                  <emph.end type="italics"/>
                <22>.
                  <emph type="italics"/>
                quadra, & à tal radice quadra gli aggiongereti, ouer cauareti la mita di cubi, &
                  <lb/>
                la
                  <emph.end type="italics"/>
                <22>.
                  <emph type="italics"/>
                cuba di tal ſumma, ouer reſto ualera la coſa. </s>
                <s id="s.003444">Eſſempio.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="s.003445">S
                  <emph type="italics"/>
                ia. </s>
                <s id="s.003446">1. cubo de cenſo piu. </s>
                <s id="s.003447">48. egual à. </s>
                <s id="s.003448">14. cubi, ſmezzo li cubi. </s>
                <s id="s.003449">14. ne uien. </s>
                <s id="s.003450">7. quadro
                  <lb/>
                questo. </s>
                <s id="s.003451">7. fa. </s>
                <s id="s.003452">49. & de questo. </s>
                <s id="s.003453">49. ne cauo il numero (cioe. </s>
                <s id="s.003454">48.) reſta. </s>
                <s id="s.003455">1. & di queſto
                  <lb/>
                ne cauo la
                  <emph.end type="italics"/>
                <22>.
                  <emph type="italics"/>
                quadra qual è pur. </s>
                <s id="s.003456">1. al qual gli aggiongo, ouer cauo la mita di cubi che è.
                  <lb/>
                </s>
                <s id="s.003457">7. & perche in queſto caſo il detto. </s>
                <s id="s.003458">7. è maggior de. </s>
                <s id="s.003459">1. Io non lo poſſo ſe non aggionge­
                  <lb/>
                re, & fara. </s>
                <s id="s.003460">8. & la
                  <emph.end type="italics"/>
                <22>.
                  <emph type="italics"/>
                cuba de. </s>
                <s id="s.003461">8. ualera la coſa, cioe. </s>
                <s id="s.003462">2. & biſogna notar, che queſto </s>
              </p>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum