Tartaglia, Niccolo, Quesiti et inventioni diverse, 1554

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              <pb pagenum="87" xlink:href="042/01/174.jpg"/>
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                <s id="s.001761">QVESITO. XXVIII. PROPOSITIONE
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                PRIMA.</s>
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              <p type="main">
                <s id="s.001762">SIGNOR AMBASCIATORE. H
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                or ſeguitati Tartaglia queſte uoſtre
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                propoſitioni, ouer concluſioni conſequentemente l'una drieto all'altra, & ſotto
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                breuita.
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                NICOLO. </s>
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              <p type="main">
                <s id="s.001763">La
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                proportione della grandezza di corpi de un medeſimo genere, & quella del­
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                la lor potentia è una medeſima.
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                S.A. D
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                atemi uno eſſempto.
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                N. S
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                iano li dui
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                corpì.a.b. </s>
                <s id="s.001764">&. </s>
                <s id="s.001765">c. de uno medeſimo genere, & ſia.a.b. </s>
                <s id="s.001766">maggiore, & ſia la potentia del
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                corpo.a.b.la.d.e.& quella de corpo.c.la.f. </s>
                <s id="s.001767">Hor dico che quella proportione, che è dal
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                corpo.a.b.al.corpo.c. quella medeſima è della potentia.d.e.alla potentia.f. </s>
                <s id="s.001768">Et ſe poßi­
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                bile è eſſer altramente (per l'auerſario) ſia che la proportione del corpo.a.b.al corpo.
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                c. ſia menore di quella della potentia.d.e.alla potentia.f. </s>
                <s id="s.001769">Hor ſta del corpo.a.b. (mag­
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                giore) compreſo una parte eguale al corpo.c.menore, quale ſia la parte.a. </s>
                <s id="s.001770">& perche
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                la uertu, ouer potentia del compoſito è compoſta dalla uertu di componenti. </s>
                <s id="s.001771">Sia adun­
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                que la uertu, ouer potentia della parte.a.la.d. </s>
                <s id="s.001772">& la uertu, ouer potentia del re ſiduo. </s>
                <s id="s.001773">b
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                de neceßita ſara la reſtante potentia.e.et perche
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                la parte.a.è tolta egual al.c.la potentia.d. (per
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                il conuerſo della. </s>
                <s id="s.001774">7. diffinitione) ſara eguale alla
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                potentia.f.& la proportione de tutto il corpo.
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                a.b.alla ſua parte.a. (per la ſeconda parte della.
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                </s>
                <s id="s.001775">7. del quinto di Euclide) ſara, ſi come quella del
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                medeſimo corpo. a. b.al corpo.c. (per eſſer.a.
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                </s>
                <s id="s.001776">egual al.c.) & ſimilmente la proportione della
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                potentia.d.e.alla potentia.f.ſara, ſi come quella
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                della detta potentia.d. </s>
                <s id="s.001777">e. alla ſua parte.d. (per
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                  <lb/>
                  <figure id="id.042.01.174.1.jpg" xlink:href="042/01/174/1.jpg" number="75"/>
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                eſſer la.d.egual alla.f.) Adunque la proportione de tutto il corpo.a.b.alla ſua parte.
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                </s>
                <s id="s.001778">a.ſara menore di quella di tutta la potentia.d.e.alla ſua parte.d. </s>
                <s id="s.001779">Adunque euerſamente
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                (per la. </s>
                <s id="s.001780">30. del quinto di Euclide) la proportione del medeſimo corpo.a.b. al reſiduo
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                corpo.b. ſara maggiore di quella di tutta la potentia.d.e. </s>
                <s id="s.001781">alla reſtante potentia. </s>
                <s id="s.001782">e. la
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                qual coſa ſaria inconueniente, & contra la opinion dell'auerſario, il qual uol che la
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                proportione del maggior corpo al menore ſia menore, di quella della ſua potentia alla
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                potentia del detto menore. </s>
                <s id="s.001783">Adunque deſtrutto l'oppoſito rimane il propoſito.
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                S. A.
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                S
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                ta bene, ſeguitati.
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                NIC. </s>
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              <p type="head">
                <s id="s.001784">QVESITO. XXIX. PROPOSITIONE
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                SECONDA.</s>
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                <s id="s.001785">La
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                proportione della potentia di corpi graui de uno medeſimo genere, & quella
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                della lor uelocita (nelli deſcenſi) ſe conchiude eſſer una medeſima, anchor quel-</s>
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