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 ...

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          <p>
            <s xml:id="echoid-s398" xml:space="preserve">
              <pb o="19" file="0031" n="32" rhead="Linea Aritmetica."/>
            ferente dalla linea C, che riuſcirà inſenſibile la
              <lb/>
              <figure xlink:label="fig-0031-01" xlink:href="fig-0031-01a" number="10">
                <image file="0031-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0031-01"/>
              </figure>
            differenza. </s>
            <s xml:id="echoid-s399" xml:space="preserve">Mà ſe la linea B foſſe ſtata mol-
              <lb/>
            to maggiore, allhora ſaria riuſcita queſta ſe-
              <lb/>
            conda linea minore di C, con differenza tale,
              <lb/>
            che per hauer la Semicirconferenza proſſima
              <lb/>
            alla vera, ſi douria à queſta minore di C ag-
              <lb/>
            giungerela metà della accennata differenza.</s>
            <s xml:id="echoid-s400" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div19" type="section" level="1" n="12">
          <head xml:id="echoid-head17" xml:space="preserve">QVESTIONE TERZA.</head>
          <head xml:id="echoid-head18" xml:space="preserve">Come ſi troui vna Quarta Proportionale,
            <lb/>
          e ſi continui vna Proportione.</head>
          <p>
            <s xml:id="echoid-s401" xml:space="preserve">QVando ſon date trè linee, & </s>
            <s xml:id="echoid-s402" xml:space="preserve">alla Terza
              <lb/>
            ſi cerca vna Quarta, che ſia nella pro-
              <lb/>
            portione della Prima alla Seconda,
              <lb/>
            ſenza che ſia eſpreſſa in numeri la proportio-
              <lb/>
            ne, ſi traſporta la Prima dal centro dello Stro-
              <lb/>
            mento A ſopral’vno, e l’altro lato; </s>
            <s xml:id="echoid-s403" xml:space="preserve">eſe non
              <lb/>
            cade preciſamente ſopra alcuno de’
              <unsure/>
            punti ſe-
              <lb/>
            gnati, baſta leggiermente con la punta del Compaſſ
              <unsure/>
            o tagliar
              <lb/>
            à trauerſo la linea tra l’vn punto, el’altro, tanto che ſi poſſa
              <lb/>
            riconoſcere. </s>
            <s xml:id="echoid-s404" xml:space="preserve">Poi s’allarghi lo Stromento tanto, che trà li
              <lb/>
            due punti già ſegnati con la punta del Compaſſo capiſca la fe-
              <lb/>
            conda delle linee date. </s>
            <s xml:id="echoid-s405" xml:space="preserve">Finalmente la Terza ſi traſporti ſi-
              <lb/>
            milmente dal centro A ſopra l’vno, el’altro lato, e ſi ſegni il
              <lb/>
            ſuo termine; </s>
            <s xml:id="echoid-s406" xml:space="preserve">poiche la diſtanza trà queſti due punti vltima-
              <lb/>
            mente ſegnati è la Quarta Proportionale, che ſi cerca.</s>
            <s xml:id="echoid-s407" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s408" xml:space="preserve">Siano date trè linee 1. </s>
            <s xml:id="echoid-s409" xml:space="preserve">2 3. </s>
            <s xml:id="echoid-s410" xml:space="preserve">e ſi cerchi la Quarta nella pro-
              <lb/>
            portione della prima alla Seconda. </s>
            <s xml:id="echoid-s411" xml:space="preserve">Traſporto la Prima </s>
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