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 ...

List of thumbnails

< >
171
171 (155) 		172
172 (156)
173
173 (157) 		174
174 (158)
175
175 (159) 		176
176 (160)
177
177 (161) 		178
178 (162)
179
179 (163) 		180
180 (164)
< >
page |< < (158) of 279 > >|
    <echo version="1.0RC">
      <text xml:lang="it" type="free">
        <div xml:id="echoid-div90" type="section" level="1" n="50">
          <p>
            <s xml:id="echoid-s2931" xml:space="preserve">
              <pb o="158" file="0172" n="174" rhead="CAPOV."/>
              <figure xlink:label="fig-0172-01" xlink:href="fig-0172-01a" number="48">
                <image file="0172-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0172-01"/>
              </figure>
            uendo la proportione delle baſi, per
              <lb/>
            la 11 del lib. </s>
            <s xml:id="echoid-s2932" xml:space="preserve">12. </s>
            <s xml:id="echoid-s2933" xml:space="preserve">Dunque il cilindro
              <lb/>
            CG d’argento è vguate alla sfera S
              <lb/>
            d’argento. </s>
            <s xml:id="echoid-s2934" xml:space="preserve">Or volendoſi vn cilindro
              <lb/>
            quadrato, che fia vguale al cilindo
              <lb/>
            CG, e per confeguenza alla sfera da-
              <lb/>
            ta S, tra il diametro della baſe CF, e
              <lb/>
            l’altezza FG ſitroui la ſeconda delle
              <lb/>
            quattro continuatamente proportio-
              <lb/>
            nali, per la Queſt. </s>
            <s xml:id="echoid-s2935" xml:space="preserve">1. </s>
            <s xml:id="echoid-s2936" xml:space="preserve">del Cap. </s>
            <s xml:id="echoid-s2937" xml:space="preserve">4. </s>
            <s xml:id="echoid-s2938" xml:space="preserve">col
              <lb/>
            mezzo della linea cubica, e ſia CO,
              <lb/>
            diametro della baſe del cilindro, à cui
              <lb/>
            eſſendo vguale l’altezza OL, ſarà il ci-
              <lb/>
            lindro CL quadrato vguale al cilindro
              <lb/>
            CG, cioè alla sfera; </s>
            <s xml:id="echoid-s2939" xml:space="preserve">eſſendo che le ba-
              <lb/>
            ſi, e l’altezze di queſti due cilindri ſo-
              <lb/>
            no reciproche, come s’è dimoſtrato
              <lb/>
            nella Queſt. </s>
            <s xml:id="echoid-s2940" xml:space="preserve">6. </s>
            <s xml:id="echoid-s2941" xml:space="preserve">del Cap. </s>
            <s xml:id="echoid-s2942" xml:space="preserve">4. </s>
            <s xml:id="echoid-s2943" xml:space="preserve">perche per
              <lb/>
            la coſtruttione il circolo del diametro
              <lb/>
            CF al circolo del diametro CO è co-
              <lb/>
            mela prima alla terza proportionale,
              <lb/>
            tra le quali la linea CO è la ſeconda.
              <lb/>
            </s>
            <s xml:id="echoid-s2944" xml:space="preserve">Or cſſendo come la prima alla terza, così la ſeconda alla
              <lb/>
            quarta, cioè CO, ouero OL vguale altezza, all’ altezza FG,
              <lb/>
            ſi rende manifeſto, che ſi reciprocano le baſi, e l’altezze. </s>
            <s xml:id="echoid-s2945" xml:space="preserve">Tra-
              <lb/>
            portato dunque CO nella linea metallica all’interuallo AA
              <lb/>
            dell’argento, prendaſi l’interuallo OO dell’oro, e ſia la linea
              <lb/>
            IM diametro della baſe, & </s>
            <s xml:id="echoid-s2946" xml:space="preserve">MK altezza vguale: </s>
            <s xml:id="echoid-s2947" xml:space="preserve">onde il cilin-
              <lb/>
            dro d’oro IK eſſendo ſimile al cilindro CL d’argento, & </s>
            <s xml:id="echoid-s2948" xml:space="preserve">eſ-
              <lb/>
            ſendo per la coſtruttione dello ſtromento nella </s>
          </p>
        </div>
      </text>
    </echo>
Impressum