Casati, Paolo, Fabrica, et uso del compasso di proportione, dove insegna à gli artefici il modo di fare in esso le necessarie divisioni, e con varij problemi ...

Table of Notes

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            radici, corriſponde aſ
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            numero la figura, che ſi deue aggiun-
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            ger’alla radice trouata da principio.</s>
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          R # C. # C. 1 # C. 2 # C. 3 # C. 4 # C 5 # C. 6 # C.7 # C.8 # C.9
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          1 # 1 # 331 # 1261 # 2791 # 4921 # 7651 # 10981 # 14911 # 19441 # 24571
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          2 # 8 # 728 # 2648 # 5768 # 10088 # 15608 # 22328 # 30348 # 39368 # 49688
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          3 # 27 # 1197 # 4167 # 8937 # 15507 # 23877 # 34047 # 46017 # 59787 # 75357
            <lb/>
          4 # 64 # 1744 # 5824 # 12304 # 21184 # 32464 # 46144 # 52224 # 80704 # 101584
            <lb/>
          5 # 125 # 2375 # 7625 # 15875 # 27125 # 41375 # 58625 # 78875 # 102125 # 128375
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          6 # 216 # 3096 # 9576 # 19656 # 33336 # 50616 # 71469 # 95976 # 124056 # 155736
            <lb/>
          7 # 343 # 3913 # 11683 # 23653 # 39823 # 60193 # 84763 # 113523 # 146503 # 183673
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          8 # 512 # 4832 # 13953 # 27872 # 46592 # 70112 # 98432 # 131552 # 169472 # 212192
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          9 # 729 # 5859 # 16389 # 32319 # 53649 # 80379 # 112509 # 150039 # 192969 # 241299
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          </note>
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            <s xml:id="echoid-s2658" xml:space="preserve">Sia dato il numero 438976, da cui de-
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              438976 # 76
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              343
                <lb/>
              95976
                <lb/>
              95976
                <lb/>
              0
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            ueſi eſtrarre la radice cubica. </s>
            <s xml:id="echoid-s2659" xml:space="preserve">Noto li
              <lb/>
            punti ſotto il 6, el’8 al modo conſueto: </s>
            <s xml:id="echoid-s2660" xml:space="preserve">e
              <lb/>
            nel ſecondo ordine, che è de’cubi, trouo,
              <lb/>
            che il cubo proſſimamente minore di
              <lb/>
            438 è 343 cubo di 7; </s>
            <s xml:id="echoid-s2661" xml:space="preserve">dunque noto 7 per
              <lb/>
            radice, e leuo 343 dal 438, e reſta 95. </s>
            <s xml:id="echoid-s2662" xml:space="preserve">A queſte figure 95,
              <lb/>
            che ſon reſtate, aggiungo l’altre tre figure del numero dato,
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            & </s>
            <s xml:id="echoid-s2663" xml:space="preserve">è 95976.</s>
            <s xml:id="echoid-s2664" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2665" xml:space="preserve">Ora perche la radice trouata da principio è 7, cerco nell’
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            ordine C. </s>
            <s xml:id="echoid-s2666" xml:space="preserve">7, venendo à baſſo vn numero vguale, ò proſſima-
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            mente minore del 95976, e lo trouo preciſamente à dirittu-
              <lb/>
            ra della radice 6 nella prima colonna: </s>
            <s xml:id="echoid-s2667" xml:space="preserve">perciò aggiungo il 6
              <lb/>
            alla radice 7, e fatta l’eſtrattione, nulla rimane; </s>
            <s xml:id="echoid-s2668" xml:space="preserve">onde conchiu-
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            do, che il num. </s>
            <s xml:id="echoid-s2669" xml:space="preserve">dato 438976 è preciſamente cubo, e la ſua ra-
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            diee è 76.</s>
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