Tartaglia, Niccolo, Quesiti et inventioni diverse, 1554

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    <archimedes>
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        <body>
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            <subchap1>
              <p type="main">
                <s id="s.001563">
                  <pb xlink:href="042/01/159.jpg"/>
                  <expan abbr="diligẽtia">diligentia</expan>
                ſopra à tal materia, ritrouaria tutte
                  <expan abbr="q̃lle">qualle</expan>
                particolarita materiale, che ſono cais
                  <lb/>
                ſa, che tal queſtione, &
                  <expan abbr="cõcluſioni">concluſioni</expan>
                  <expan abbr="">non</expan>
                ſe uerificano in materia, come che l'autor
                  <expan abbr="cõchiu">conchiu</expan>
                  <lb/>
                de, et dice. </s>
                <s id="s.001564">Et dapoi che quelle fuſſeno ritrouate, et conoſciute,
                  <expan abbr="tẽgo">tengo</expan>
                che ſaria coſa facile
                  <lb/>
                à rimediarli, & fare che ſe uerificaſſeno in materia preciſamente, come che l'autor
                  <lb/>
                propone.
                  <emph.end type="italics"/>
                N. V
                  <emph type="italics"/>
                oſtra Signoria non è di uana opinione, perche in effetto tutte quelle
                  <lb/>
                coſe che nella mente ſono conoſciute uere, & maßime per dimoſtrationi aſtratte da o­
                  <lb/>
                gni materia, ragioneuolmente ſi debbono anchora uerificare al ſenſo del uedere in ma­
                  <lb/>
                teria (altramente le Mathematice ſariano in tutto uane, & dinullo giouamento, ouer
                  <lb/>
                profitto all'huomo, & ſe per caſo quelle non ſe uerificano, comc che nelle ſopradette li
                  <lb/>
                bre, ouer bilance maggior, & menor, e ſtato detto, & diſputato. </s>
                <s id="s.001565">Eglie da credere, anci
                  <lb/>
                da tener per fermo, che il tutto proceda dalla diſproportionalita, & inequalita delle
                  <lb/>
                parti, & membri materiali, dalli quali uengono compoſte, cioe che le dette parti, &
                  <lb/>
                memibri dell'una piu ſe diſcoſtano, ouer allontanano da quelle conſiderate fuora de ogni
                  <lb/>
                materia, di quello che fanno quelli dell'altra.
                  <emph.end type="italics"/>
                E
                  <emph type="italics"/>
                per tanto uolendo difendere, & ſalua­
                  <lb/>
                re tal queſtione Aristotelica, cioe far che quella ſempre ſe uerifichi in materia, & in
                  <lb/>
                ogni qualita de libre, ouer bilance ſi grande, come piccole. </s>
                <s id="s.001566">Biſogna agguagliar le dette
                  <lb/>
                parti, ouer membri dicadauna di quelle, talmente che quelli ſiano egualmente diſtanti
                  <lb/>
                da quelle conſiderate fuora de ogni materia ſenſibile. </s>
                <s id="s.001567">Ilche
                  <expan abbr="facẽdo">facendo</expan>
                non ſolamente ſe ue
                  <lb/>
                rificara tal ſua queſtione al ſenſo in materia, cioe nelle dette libre, ouer bilance materia
                  <lb/>
                le, ma anchora ſe uerificaranno quelle altre due concluſioni, che ſottogionſe in fine.
                  <emph.end type="italics"/>
                  <lb/>
                S.A. I
                  <emph type="italics"/>
                o ho accaro che la mia opinione ſe ſia uerificata.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="head">
                <s id="s.001568">QVESITO SECONDO FATTO CONSEQ VEN­
                  <lb/>
                  <emph type="italics"/>
                temente dal medeſimo Illustrißimo Signor Don
                  <lb/>
                Diego Ambaſciator
                  <lb/>
                Ceſareo.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="s.001569">SIGNOR AMBASCIATORE. M
                  <emph type="italics"/>
                a per non hauer troppo ben inteſo le
                  <lb/>
                ragioni da uoi allegate, uorria che un'altra uolta, & piu chiar amente me le repli
                  <lb/>
                casti.
                  <emph.end type="italics"/>
                N. D
                  <emph type="italics"/>
                ico Signore, che la cauſa che le ſopradette libre, ouer bilance maggiore,
                  <lb/>
                & menore, non riſpondeno ſecondo che l'autor conchiude, & dimoſtra, non procede
                  <lb/>
                d'altro, che dalla inequalita delle parti, ouer membrimateriali, dalli quali uengono com
                  <lb/>
                poſte, le quai parti, ouer membri, ſono li dui bracci, & anchora il ſparto (cioe quel
                  <lb/>
                axis ouer centro, ſopra del qual girano li detti bracci in cadauna de loro, perche li
                  <lb/>
                detti bracci, & ſparto nelle libre, ouer bilance maggiore ſono molto piu großi, & cor
                  <lb/>
                pulenti di quelle delle menore. </s>
                <s id="s.001570">Et perche li bracci di quelle libre, ouer bilance che uen­
                  <lb/>
                gono conſiderate, come Mathematico, cioe fuora de ogni materia, ſono conſiderati, et
                  <lb/>
                ſuppoſti, come ſimplice linee, cioe ſenza larghezza, ne groſſezza, & il ſparto, ouer
                  <lb/>
                axis di quelle uien conſiderato, & ſuppoſto un ſimplice ponto indiuiſibile, le qual ſorte
                  <lb/>
                de libre, ouer
                  <expan abbr="bilãce">bilance</expan>
                . </s>
                <s id="s.001571">
                  <expan abbr="Quãdo">Quando</expan>
                che poßibil foſſe à darne una coſi realmente ſpogliata, &
                  <lb/>
                nuda de ogni materia ſenſibile, come che con la
                  <expan abbr="mẽte">mente</expan>
                uengono conſiderate, ſenza alcun
                  <emph.end type="italics"/>
                </s>
              </p>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>