Weidler, Johann Friedrich, Jo. Friderici Weidleri Tractatus de machinis hydraulicis toto terrarum orbe maximis Marlyensi et Londinensi et aliis rarioribus similibus in quo mensurae prope ipsas machinas notatae describuntur, et de viribus earum luculenter disseritur

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            <s xml:id="echoid-s2618" xml:space="preserve">
              <pb o="26" file="0142" n="147" rhead="GEOMETRIA SVBTERRANEA."/>
            theile) multiplicando numeratorem per 8, et factum diuiden-
              <lb/>
            do per denominatorem. </s>
            <s xml:id="echoid-s2619" xml:space="preserve">(§. </s>
            <s xml:id="echoid-s2620" xml:space="preserve">83. </s>
            <s xml:id="echoid-s2621" xml:space="preserve">arithm. </s>
            <s xml:id="echoid-s2622" xml:space="preserve">num. </s>
            <s xml:id="echoid-s2623" xml:space="preserve">2.)
              <lb/>
            </s>
            <s xml:id="echoid-s2624" xml:space="preserve">{418--8/3344/10000} ‘ 0 octauae et {33/100}
              <lb/>
            h.</s>
            <s xml:id="echoid-s2625" xml:space="preserve">e. </s>
            <s xml:id="echoid-s2626" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2627" xml:space="preserve">digiti 3 minuta ſiue ſcrupuli (§. </s>
            <s xml:id="echoid-s2628" xml:space="preserve">16) = catheto ab. </s>
            <s xml:id="echoid-s2629" xml:space="preserve">
              <lb/>
            pro baſi bc
              <lb/>
            ſinus ang. </s>
            <s xml:id="echoid-s2630" xml:space="preserve">b. </s>
            <s xml:id="echoid-s2631" xml:space="preserve">100000 ad ac 6 uln. </s>
            <s xml:id="echoid-s2632" xml:space="preserve">ita ſin. </s>
            <s xml:id="echoid-s2633" xml:space="preserve">a 80 gr. </s>
            <s xml:id="echoid-s2634" xml:space="preserve">{98480--6/590880}
              <lb/>
            {590880/100000} | 5 Uln. </s>
            <s xml:id="echoid-s2635" xml:space="preserve">{908/1000} ſiue 7 oct. </s>
            <s xml:id="echoid-s2636" xml:space="preserve">2 dig. </s>
            <s xml:id="echoid-s2637" xml:space="preserve">7. </s>
            <s xml:id="echoid-s2638" xml:space="preserve">ſcrupul. </s>
            <s xml:id="echoid-s2639" xml:space="preserve">
              <lb/>
            quod ſi uero cum
              <emph style="sc">Voigtelio</emph>
            perpetua decimalis proportio
              <lb/>
            partium ulnae metallicae ſeruetur, multo adhuc facilior eſt
              <lb/>
            reductio, quia cum numeris uulgaribus illa proportio conue-
              <lb/>
            nit. </s>
            <s xml:id="echoid-s2640" xml:space="preserve">Ideoque in primo exemplo, datis {104184/100000}, reſoluto nu-
              <lb/>
            mero, habentur 1 uln. </s>
            <s xml:id="echoid-s2641" xml:space="preserve">o minutum primum. </s>
            <s xml:id="echoid-s2642" xml:space="preserve">4 ſecunda. </s>
            <s xml:id="echoid-s2643" xml:space="preserve">1 terti-
              <lb/>
            um. </s>
            <s xml:id="echoid-s2644" xml:space="preserve">et in caſu ſecundo 5908 ſunt 5 uln. </s>
            <s xml:id="echoid-s2645" xml:space="preserve">9. </s>
            <s xml:id="echoid-s2646" xml:space="preserve">pr. </s>
            <s xml:id="echoid-s2647" xml:space="preserve">o ſec. </s>
            <s xml:id="echoid-s2648" xml:space="preserve">8 tert.</s>
            <s xml:id="echoid-s2649" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2650" xml:space="preserve">Reſotutio ſecunda. </s>
            <s xml:id="echoid-s2651" xml:space="preserve">Sola etiam ſcala geometrica accurate di-
              <lb/>
            uiſa, una cum transportatorio, ſoluendo illi problemati ſuffi-
              <lb/>
            cit. </s>
            <s xml:id="echoid-s2652" xml:space="preserve">nempe inuentus angulus c inſtrumento goniometrico de-
              <lb/>
            finitur, et ei hypotenuſa, ac itidem nota applicatur, ita defi-
              <lb/>
            deratum, tum perpendiculum, tum baſis, component figu-
              <lb/>
            ram trianguli rectanguli, et ex eadem ſcala, qua hypotenuſa
              <lb/>
            menſurata eſt, aſſumi poſſunt. </s>
            <s xml:id="echoid-s2653" xml:space="preserve">(§. </s>
            <s xml:id="echoid-s2654" xml:space="preserve">50. </s>
            <s xml:id="echoid-s2655" xml:space="preserve">Geom.)</s>
            <s xml:id="echoid-s2656" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2657" xml:space="preserve">Reſolutio tertia fit tabularum adminiculo, ſed de ea ſe-
              <lb/>
            quenti problemate copioſius dicetur.</s>
            <s xml:id="echoid-s2658" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div96" type="section" level="1" n="69">
          <head xml:id="echoid-head86" xml:space="preserve">PROBLEMA II.</head>
          <p style="it">
            <s xml:id="echoid-s2659" xml:space="preserve">48. </s>
            <s xml:id="echoid-s2660" xml:space="preserve">Tabulas componere, ex quibus abſque laborioſo calculo cathe-
              <lb/>
            tus et baſis trianguli rectanguli, quae datae hypotenuſae, et
              <lb/>
            angulo eidem adiacenti, reſpondent, excerpi queant.</s>
            <s xml:id="echoid-s2661" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2662" xml:space="preserve">Reſolutio 1. </s>
            <s xml:id="echoid-s2663" xml:space="preserve">Quod ad tabularum compoſitionem atti-
              <lb/>
            net, ea prima praecedentis problematis ſolutione </s>
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