Tartaglia, Niccolo, Quesiti et inventioni diverse, 1554

Table of figures

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                nota, cioe poniamo che tutta peſi lire. </s>
                <s id="s.002033">40. et che ſimilmente la longhezza di tal uerga,
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                ouer baſtone, ne ſia nota, cioe poniamo che quella ſia longa dui paſſa, cioe dieci piedi, &
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                poniamo anchora che tal uerga ſia diuiſa in due parti ineguale in ponto.c.& che le det
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                tè partine ſia note, cioe poniamo che la parte.a.c.menore, ſia piedi dui, & che la mag
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                gior.c.b.ſta piedi. </s>
                <s id="s.002034">8. Hor dico, che eglie poßibile di trouare di quante libre uorra eſſer
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                quel corpo qual eſſendo ſoſpeſo nel ponto.a. (termine della ſua menor parte) faccia ſta
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                re la detta uerga, ouer traue equidiſtante all'Orizonte. </s>
                <s id="s.002035">Perche (per le coſe dimoſtrate
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                nelle due precedente propoſitioni) eglie manifeſto, che la proportione della grauita di
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                quel tal corpo alla grauita di quella differentia che è fra la parte maggiore.c.b.& la
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                parte menore.a.c. (la qual differentia uerria à eſſer la.d.b.) ſara, ſi come tutta la lon
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                ghezza della uerga, ouer traue.a.b. (qual è piedi. </s>
                <s id="s.002036">10.) al doppio della longhezza della
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                partemenor.a.c. (qual è piedi dui) il doppio della quale uerria à eſſer piedi. </s>
                <s id="s.002037">4. qual
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                pongo ſia la.a.d.adunque la grauita di quel tal corpo, alla grauita della partial uerga.d.
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                </s>
                <s id="s.002038">b.ſara, ſi come la longhezza de tutta la.a.b. (qual è piedi. </s>
                <s id="s.002039">10.) alla longhezza della.a.
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                </s>
                <s id="s.002040">d. (qual è piedi.
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                4.) O
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                nde arguendo alcontrario, diremo, chela proportione della.a.d.
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                (qual è piedi. </s>
                <s id="s.002041">4.) à tutta la.a.b. (qual è piedi. </s>
                <s id="s.002042">10) ſara, ſi come la grauita della partial
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                uerga.d.b.qual (alla ratta di tutta la.a.b.che libre. </s>
                <s id="s.002043">40.) uerria ad eſſer libre. </s>
                <s id="s.002044">24. alla
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                grauita del corpo che recercamo, cioe di quello, che appeſo nel ponto.a.debbia man-
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                  <figure id="id.042.01.192.1.jpg" xlink:href="042/01/192/1.jpg" number="88"/>
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                tenere la dettauerga, ouer traue equidiſtante all'Orizonte. </s>
                <s id="s.002045">Onde per ritrouarlo pro­
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                cederemo ſecondo l'or dine della regola uolgarmente detta del tre, fondata ſopra la. </s>
                <s id="s.002046">20.
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                propoſitione del. 7.di Euclide, moltiplicando. </s>
                <s id="s.002047">10.fia.24.fa.240. & queſto lo parti­
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                remo per.4.ne uenira.60.& libre.60.dico che peſara, ouer che douera peſare quel
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                tal corpo, qual pongo fia il corpo.f.che è il propofito.
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                S.A. Q
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                uesto problema me è
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                piaceſto aſſai, & l'ho inteſo benißimo, e pero ſeguitati ſe ci è altro da dire.
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                N. </s>
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                <s id="s.002048">QVESITO. XL. PROPOSITIONE XIII.</s>
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                <s id="s.002049">Se
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                lſe hauerauna uerga, traue, ouer baſtone, come piu uolte è stato detto, del qual
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                ne ſia nota la ſua longhezza, & anchora la ſua grauita, & anchora un corpo pon
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                deroſo, del quale ne ſia nota ſua grauita, eglie poßibile à deter minare il luoco doue ſe
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                hauera da diuidere la data uerga, traue, ouer baſtone, talmente che appendendo il det-</s>
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