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-s557" xml:space="preserve">
              <pb o="29" file="0041" n="42" rhead="Linea Aritmetica."/>
            ad OR, così MN ad MF; </s>
            <s xml:id="echoid-s558" xml:space="preserve">e perche OV ad OR per la co-
              <lb/>
            ſtruttione ſono come l’Aſſe maggiore AB all’Aſſe minore C,
              <lb/>
            cioè come le loro metà EX ad EL; </s>
            <s xml:id="echoid-s559" xml:space="preserve">dunque il Rettangolo
              <lb/>
            AEB al Rettangolo AOB è come il Quadrato della metà
              <lb/>
            dell’Aſſe minore al Quadrato dell’Applicata OV.</s>
            <s xml:id="echoid-s560" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div26" type="section" level="1" n="16">
          <head xml:id="echoid-head25" style="it" xml:space="preserve">QVESTIONE SETTIMA.</head>
          <head xml:id="echoid-head26" style="it" xml:space="preserve">Come potiamo ſeruirci dello Stromento di Proportione, in vece
            <lb/>
          delle Tauole Trigonometriche, per la ſolutione
            <lb/>
          di molti Triangoli.</head>
          <p>
            <s xml:id="echoid-s561" xml:space="preserve">SE bene ciò appariſce aſſai chiaramente da ciò, che s’è
              <lb/>
            detto nella queſtione 4.</s>
            <s xml:id="echoid-s562" xml:space="preserve">ad ogni modo per maggior ſpie-
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              <figure xlink:label="fig-0041-01" xlink:href="fig-0041-01a" number="15">
                <image file="0041-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0041-01"/>
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            gatione è bene accennarlo quì
              <lb/>
            più particolarmente. </s>
            <s xml:id="echoid-s563" xml:space="preserve">Sia per
              <lb/>
            cagione d’eſſempio vna Torre,
              <lb/>
            la cui altezza, e diſtanza da noi,
              <lb/>
            deſideriamo di conoſcere. </s>
            <s xml:id="echoid-s564" xml:space="preserve">Pren-
              <lb/>
            daſi vn piano di qualunque ſor-
              <lb/>
            te, come ſaria vna tauola, MHC,
              <lb/>
            e ſi ponga in ſito verticale con la
              <lb/>
            Torre, di mode, che la linea ret-
              <lb/>
            ta del ſuo lato MH ſia parallela
              <lb/>
            all’Orizonte: </s>
            <s xml:id="echoid-s565" xml:space="preserve">poi collocato l’oc-
              <lb/>
            chio nel punto M, e riguardando la cima della Torre, ſia il
              <lb/>
            raggio viſuale la linea MB, la quale ſi ſegni. </s>
            <s xml:id="echoid-s566" xml:space="preserve">Fatto queſto, ſi
              <lb/>
            ritiri l’oſſeruatore più indietro, in modo però, che nella ſteſ-
              <lb/>
            ſa dirittura ſiano la Torre, & </s>
            <s xml:id="echoid-s567" xml:space="preserve">i luoghi delle due oſſeruationi:
              <lb/>
            </s>
            <s xml:id="echoid-s568" xml:space="preserve">& </s>
            <s xml:id="echoid-s569" xml:space="preserve">in queſto ſecondo luogo di nuouo collocata la </s>
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