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-s471" xml:space="preserve">
              <pb o="24" file="0036" n="37" rhead="CAPO II."/>
            di cui ella cade; </s>
            <s xml:id="echoid-s472" xml:space="preserve">e moltiplicata la Perpendicolare per la metà
              <lb/>
            della baſe, ſi hà l’area del triangolo (per la 41. </s>
            <s xml:id="echoid-s473" xml:space="preserve">del 1
              <unsure/>
            .) </s>
            <s xml:id="echoid-s474" xml:space="preserve">E ridot-
              <lb/>
            te in vna ſomma tutte queſte aree, danno tutta l’area della
              <lb/>
            Campagna diſſegnata.</s>
            <s xml:id="echoid-s475" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s476" xml:space="preserve">Quindi ſi caua, che ſe il dato diſſegno foſſe Topografia di
              <lb/>
            paeſe non tanto grande, che ſenſibilmente s’allontanaſſe dal-
              <lb/>
            l’eſſer piano, con ogni facilità ſi potrà conoſcere la diſtanza
              <lb/>
            d’vn luogo dall’altro, purche vna qualche diſtanza ſia nota,
              <lb/>
            ſeruendo queſta per dar vna deter minata apertura allo Stro-
              <lb/>
            mento: </s>
            <s xml:id="echoid-s477" xml:space="preserve">come facilmente ſi raccoglie da ciò, che s’è detto
              <lb/>
            ſin’hora.</s>
            <s xml:id="echoid-s478" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s479" xml:space="preserve">Mà per traportar vn diſegno di grande in piccolo, ò di
              <lb/>
            piccolo in grande, non è di meſtieri dir altra coſa più parti-
              <lb/>
            colare, poiche ciò è manifeſto da ciò che ſi è detto nella
              <lb/>
            queſtione antecedente, non eſſendo queſto altra coſa, che
              <lb/>
            trouare la Quarta proportionale.</s>
            <s xml:id="echoid-s480" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div22" type="section" level="1" n="14">
          <head xml:id="echoid-head21" xml:space="preserve">QVESTIONE QVINTA.</head>
          <head xml:id="echoid-head22" xml:space="preserve">Date due linee trouare la loro proportione in numeri.</head>
          <p>
            <s xml:id="echoid-s481" xml:space="preserve">E’Vero, che non tutte le linee ſono trà di loro commen-
              <lb/>
            ſurabili, ne hanno la proportione, che ſi poſſa eſpri-
              <lb/>
            mere con numeri, come è manifeſto dalla Geometria, e dal
              <lb/>
            libro Decimo d’Euclide; </s>
            <s xml:id="echoid-s482" xml:space="preserve">ad ogni modo per le operationi Me-
              <lb/>
            caniche, alle volte ci baſta ſapere, quali ſiano que’ numeri,
              <lb/>
            che più da vicino eſprimono la proportione, ò almeno li ter-
              <lb/>
            mini (per dir così) eſtrinſeci della proportione, cioè quelli,
              <lb/>
            che ſono immediatamente maggiori, & </s>
            <s xml:id="echoid-s483" xml:space="preserve">immediatamente mi-
              <lb/>
            nori del douere; </s>
            <s xml:id="echoid-s484" xml:space="preserve">tra’ quali prendendoſi il mezo </s>
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