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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            <s xml:id="echoid-s4238" xml:space="preserve">
              <pb o="222" file="0240" n="244" rhead="CAPO IX."/>
            to circolo. </s>
            <s xml:id="echoid-s4239" xml:space="preserve">Dipoi eſſendo noto queſto circolo, deue trou
              <unsure/>
            arſi
              <lb/>
            il lato del Pentagono compreſ
              <unsure/>
            o in queſto circolo; </s>
            <s xml:id="echoid-s4240" xml:space="preserve">poiche
              <lb/>
            queſto è il ſato cercato dell’ Icoſaedro, eſſendo baſe d’vno
              <lb/>
            delli cinque triangoli equilateri, che fanno l’angolo ſolido.
              <lb/>
            </s>
            <s xml:id="echoid-s4241" xml:space="preserve">Per trouar queſto lato del Pentagono (il cui quadrato per la
              <lb/>
            10 del 13. </s>
            <s xml:id="echoid-s4242" xml:space="preserve">è vguale alli quadrati del Raggio, e del Decago-
              <lb/>
            no nell’ iſteſſo circolo) biſogna trouar il lato del Decagono
              <lb/>
            poſto il Raggio 894, cioè tagliar il Raggio nella eſtrema, e
              <lb/>
            media ragione, eſſendoche il ſegmento maggiore è il lato del
              <lb/>
            Decagono per il corollario della 9. </s>
            <s xml:id="echoid-s4243" xml:space="preserve">del 13. </s>
            <s xml:id="echoid-s4244" xml:space="preserve">Quindi ſarà il la-
              <lb/>
            to del Decagono 552: </s>
            <s xml:id="echoid-s4245" xml:space="preserve">il cui quadrato 304704 aggionto al
              <lb/>
            quadrato del Raggio, che è 800000 dà 1104704 quadrato
              <lb/>
            del lato del Pentagono; </s>
            <s xml:id="echoid-s4246" xml:space="preserve">e perciò ſarà la ſua radice 1051 il la-
              <lb/>
            to cercato dell’Icoſaedro.</s>
            <s xml:id="echoid-s4247" xml:space="preserve"/>
          </p>
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            <lb/>
          # # Diuiſioni della linea per i corpi regolari inſcritti \\ nella medeſima sfera.
            <lb/>
          Diametro della sfera. # 2000
            <lb/>
          Piramide. # 1633---
            <lb/>
          Octaedro. # 1414+
            <lb/>
          Cubo. # 1154+
            <lb/>
          Icoſaedro. # 1051
            <lb/>
          Dodecaedro. # 713+
            <lb/>
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