Tartaglia, Niccolo, Quesiti et inventioni diverse, 1554

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              <p type="main">
                <s id="s.001535">
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                N. E
                  <emph type="italics"/>
                l naturale
                  <expan abbr="cõſidera">conſidera</expan>
                , giudica, et determina le coſe,
                  <expan abbr="ſecõdo">ſecondo</expan>
                el ſenſo, &
                  <expan abbr="apparẽtia">apparentia</expan>
                di
                  <lb/>
                quelle in materia. </s>
                <s id="s.001536">Ma el Mathematico le conſidera, giudica, & determina, non ſecon
                  <lb/>
                do el ſenſo, ma ſecondo la ragione (aſtrate da ogni materia ſenſibile) come che
                  <emph.end type="italics"/>
                V. S
                  <emph type="italics"/>
                ig.
                  <lb/>
                ſa, che coſtuma Euclide.
                  <emph.end type="italics"/>
                S.A. C
                  <emph type="italics"/>
                irca di queſto non ſo che riſpondere, perche io non
                  <lb/>
                me arricordo coſi all'improuiſo il ſoggetto di tal ſua prima queſtione, e pero ditime.
                  <lb/>
                </s>
                <s id="s.001537">come, che quella parla, & dice.
                  <emph.end type="italics"/>
                N. L
                  <emph type="italics"/>
                a dice, & parla preciſamente in queſta forma.
                  <emph.end type="italics"/>
                </s>
              </p>
              <p type="main">
                <s id="s.001538">P
                  <emph type="italics"/>
                erche cauſa le maggior libre, ouer bilanze, ſono piu diligente delle menore.
                  <emph.end type="italics"/>
                  <lb/>
                S.A. B
                  <emph type="italics"/>
                en? </s>
                <s id="s.001539">che uoleti dire ſopra di tal queſtione.
                  <emph.end type="italics"/>
                N. V
                  <emph type="italics"/>
                oglio dir queſto, che ſumen­
                  <lb/>
                dola, ouer conſiderandola, ſi come Mathematico (cioe astrata da ogni materia) ſenza
                  <lb/>
                alcun dubbio tal queſtione è uniuerſalmente uera, ſi per le ragioni da lui adutte per
                  <lb/>
                auanti, come, che per molte altre, che nella ſcientia di peſi addur ſe potria. </s>
                <s id="s.001540">Perche quel
                  <lb/>
                la linea, che con la ſua mobile iſtremita piu ſe allontana dal centro d'un cerchio, moue­
                  <lb/>
                sta dauna medeſima uirtu, ouer potentia (in tal ſua iſtremita) piu facilmente, & con
                  <lb/>
                maggior celerita, ouer preſte
                  <emph.end type="italics"/>
                zz
                  <emph type="italics"/>
                a ſaramoſſa, ſpenta, ouer portata, di quella, che
                  <expan abbr="cõ">com</expan>
                la
                  <lb/>
                detta ſua iſtremita men ſe alluntanara dal detto centro, & per tal ragione le libre, o­
                  <lb/>
                uer bilanze maggiori, ſe uerificano eſſer piu diligente delle menore. </s>
                <s id="s.001541">Ma uolendo poi
                  <lb/>
                conſiderare, & approuare tal queſtione in materia, & con argomenti naturali, co­
                  <lb/>
                me, che in ultimo lui conſidera, & approua, cioe per el ſenſo del uedere in eſſe libre,
                  <lb/>
                ouer bilanze materiale. </s>
                <s id="s.001542">Dico, che con tai ſorte de argomenti non ſe uerifica general­
                  <lb/>
                mente tal queſtione, anzi ſe trouara ſeguir tutto al contrario, cioe le libre, ouer bilan
                  <lb/>
                ze menori eſſer piu diligente delle maggiori, & che questo ſia el uero nelle libre, ouer
                  <lb/>
                bilanze materiale, la ſperientia lo fa manifeſto: perche ſe de uno ducato ſcarſo uoremo
                  <lb/>
                ſapere de quani grani lui ſia ſcarſo, con una libra, ouer bilanza granda, cioe con una
                  <lb/>
                de quelle, che adoprano li ſpeciali per peſar ſpecie, zuccaro, zenzero, e canella, & al
                  <lb/>
                tre coſe ſimile, malamente ſe ne potremo chiarire, ma con una di quelle librette, ouer
                  <lb/>
                bilancette piccole, che oprano li bancheri, or efici, & gioieleri, ſenza dubbio ſe ne po­
                  <lb/>
                tremo totalmente certificare. </s>
                <s id="s.001543">Per il che ſeguitaria tutto al contrario, di quello, che in
                  <lb/>
                tal queſtione ſe conchiude, & dimoſtra, cioe, che tai bilancette piu piccole ſiano piu di
                  <lb/>
                ligente, delle piu grande, perche piu diligentemente, ouer ſottilmente dimoſtrano la
                  <lb/>
                differentia di peſi. </s>
                <s id="s.001544">Et la cauſa di queſto inconueniente non procede da altro, che dalla
                  <lb/>
                materia, perche le coſe costrutte, ouer fabricate in quella, mai ponno eſſer coſi preci­
                  <lb/>
                ſamente fatte, come, che con la mente uengono imaginate fuora di eſſa materia, per il
                  <lb/>
                che tal hor ſe uien à cauſar in quelle alcuni effetti molto contr arij alla ragione. </s>
                <s id="s.001545">Et per
                  <lb/>
                questo, & altri ſimili reſpetti, el Mathematico non accetta, ne conſente alle dimoſtra­
                  <lb/>
                tioni, ouer probationi fatte per uigor, & autoritadi ſenſi in materia, ma
                  <expan abbr="ſolamẽte">ſolamente</expan>
                à
                  <lb/>
                quelle fatte <21> demostrationi, et
                  <expan abbr="argomẽti">argomenti</expan>
                aſtrati da ogni materia ſenſibile. </s>
                <s id="s.001546">Et <21> questa
                  <lb/>
                cauſa, le diſcipline Mathematice. </s>
                <s id="s.001547">non ſolamente ſono giudicate dalli ſapienti eſſer piu
                  <lb/>
                certe delle naturale, ma quelle eſſer anchora nel primo grado di certezza. </s>
                <s id="s.001548">Et pero
                  <lb/>
                quelle queſtioni, che con argomenti Mathematici ſe poſſono dimoſtrare, non è coſa
                  <lb/>
                conueniente ad approbarle con argomenti naturali. </s>
                <s id="s.001549">Et ſimelmente quelle, che ſo­
                  <lb/>
                no gia dimoſtrate con argomenti Mathematici (che ſono piu certi) non é da ten­
                  <lb/>
                tare, ne da perſuader ſi de certificarle meglio con argomenti naturali, li quali ſono
                  <emph.end type="italics"/>
                </s>
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