Tartaglia, Niccolo, Quesiti et inventioni diverse, 1554

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                <s id="s.002000">
                  <pb xlink:href="042/01/189.jpg"/>
                  <figure id="id.042.01.189.1.jpg" xlink:href="042/01/189/1.jpg" number="85"/>
                  <lb/>
                S.A. V
                  <emph type="italics"/>
                oria, che me dimoſtraſti che il brazzo.c.f.inſleme con il.c.e.ſia tanto
                  <expan abbr="quãto">quanto</expan>
                  <lb/>
                el doppio del brazzo.d.c.ouer.c.b.
                  <emph.end type="italics"/>
                N. S
                  <emph type="italics"/>
                ignor eglie manifeſto, che tutto il bra
                  <emph.end type="italics"/>
                zz
                  <emph type="italics"/>
                o
                  <lb/>
                c.e.è maggiore del brazzo.c.d.per la parte.e.d.la qual parte.e.d.è equale alla.d.f.di
                  <lb/>
                remo adunque, che tutta la.c.e.è equal alla.c.d. </s>
                <s id="s.002001">& anchora alla ſua parte.f.d alla qual
                  <lb/>
                parte.f.d.giontoui el brazzo.f.c.queste due parti inſteme ſe egualiano anchora loro
                  <lb/>
                alla medeſlma.c.d, e pero tuttala.c.e.inſieme con la.c.f. </s>
                <s id="s.002002">ſono preciſamente il doppio
                  <lb/>
                della.c.d & perche la detta.c.d.è equale (dal preſuppoſito) alla.b.c.ſeguita, che tutta
                  <lb/>
                la.c.e.inſieme con la.c.f.ſtano equali al doppio della.c.b. </s>
                <s id="s.002003">ch'è il propoſito.
                  <emph.end type="italics"/>
                S.A. </s>
                <s id="s.002004">E
                  <lb/>
                  <emph type="italics"/>
                ue ho inteſo beniſsimo, e pero ſeguitati.
                  <emph.end type="italics"/>
                N. </s>
              </p>
              <p type="head">
                <s id="s.002005">QVESITO XXXVII. PROPOSITIONE X.</s>
              </p>
              <p type="main">
                <s id="s.002006">Se
                  <emph type="italics"/>
                l ſara una ſolida uerga, traue, ouer baſtone di una ſimile, & equal larghezza,
                  <lb/>
                groſſezza, ſoſtantia, & grauita in ogni ſua parte, & che la longhezza di quella
                  <lb/>
                ſla diuiſa in due parti inequale, & che nel termine della menor parte ui ſla appeſouno
                  <lb/>
                altro ſolido, ouer corpo graue, el quale faccia ſtare la dettauerga, traue, ouer baſtone
                  <lb/>
                equidistante al orizonte. </s>
                <s id="s.002007">La proportione della grauita di tal corpo graue, alla diffe­
                  <lb/>
                rentia della grauita della maggior parte della detta uerga (traue, ouer baſtone) alla
                  <lb/>
                grauita della parte menore, ſara ſi come la proportione della
                  <expan abbr="lõghezza">longhezza</expan>
                di tutta la uer
                  <lb/>
                ga (traue, ouer baſtone) al doppio della longhezza della ſua menor parte.
                  <emph.end type="italics"/>
                S. A. D
                  <emph type="italics"/>
                a
                  <lb/>
                time un eſſempio ſe uoleti, che ui
                  <expan abbr="intẽda">intenda</expan>
                .
                  <emph.end type="italics"/>
                N. S
                  <emph type="italics"/>
                ia la ſolida uerga (traue, ouer baſtone)
                  <lb/>
                il ſolido.a.b.di una ſimile, et equal große
                  <emph.end type="italics"/>
                zz
                  <emph type="italics"/>
                a, larghezza,
                  <expan abbr="ſoſtãtia">ſoſtantia</expan>
                , et grauita <21> tutto,
                  <lb/>
                cioe <21> ogni parte, et ſia diuiſo
                  <expan abbr="">com</expan>
                l'intelletto in due parti inequale in
                  <expan abbr="põto">ponto</expan>
                .c.et ſia ſigna
                  <lb/>
                ta la.c.d.equal alla.a.c.adunque la.d.b. </s>
                <s id="s.002008">
                  <expan abbr="uiẽ">uiem</expan>
                à eſſere la
                  <expan abbr="differẽtia">differentia</expan>
                , ch'è fra la parte mag
                  <lb/>
                giore.c.b.et la menore.c.a.della qual
                  <expan abbr="differẽtia">differentia</expan>
                ſia trouato il mezzo, qual ſia il pon­
                  <lb/>
                to.e. </s>
                <s id="s.002009">Hor
                  <expan abbr="eßẽdo">eßendo</expan>
                ſuſpeſo il detto ſolido, ouer traue.a.b.nel
                  <expan abbr="põto">ponto</expan>
                .c.et
                  <expan abbr="eßẽdoui">eßendoui</expan>
                attaccato,
                  <lb/>
                ouer ſuſpeſo nel termine della ſua menor parte un altro ſolido (poniamo il ſolido.f.)
                  <lb/>
                qual faccia ſtare il primo ſolido, ouer traue.a.b.equidiſtãte al
                  <expan abbr="orizõte">orizonte</expan>
                . </s>
                <s id="s.002010">Dico, che tal
                  <lb/>
                proportione hauera la grauita del ſolido.f.alla grauita della
                  <expan abbr="differẽtia">differentia</expan>
                .d.b. </s>
                <s id="s.002011">qual hara
                  <lb/>
                tutta la
                  <expan abbr="lõghezza">longhezza</expan>
                .a.b.alla.a.d. </s>
                <s id="s.002012">cioe al doppio della
                  <expan abbr="lõghezza">longhezza</expan>
                della parte menore.a.c.
                  <lb/>
                </s>
                <s id="s.002013">Perche tanto peſa la detta differentia.d.b.m tal poſitione, come che al preſente ſta
                  <expan abbr="quã">quam</expan>
                  <lb/>
                to che faria ſe quella fuſſe perpendicolarmente ſoſpeſa in ponto.e.e pero (per il con-
                  <emph.end type="italics"/>
                </s>
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