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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        <div xml:id="echoid-div98" type="section" level="1" n="70">
          <p>
            <s xml:id="echoid-s2729" xml:space="preserve">
              <pb o="29" file="0145" n="150" rhead="GEOMETRIA SVBTERRANEA."/>
            communis area habet baſin 4625, h. </s>
            <s xml:id="echoid-s2730" xml:space="preserve">e. </s>
            <s xml:id="echoid-s2731" xml:space="preserve">4 Uln. </s>
            <s xml:id="echoid-s2732" xml:space="preserve">6 octau.
              <lb/>
            </s>
            <s xml:id="echoid-s2733" xml:space="preserve">2 {5/10} dig.</s>
            <s xml:id="echoid-s2734" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div99" type="section" level="1" n="71">
          <head xml:id="echoid-head88" xml:space="preserve">EXEMPLVM II.</head>
          <p>
            <s xml:id="echoid-s2735" xml:space="preserve">Porro pro angulo 4 {1/4} gr. </s>
            <s xml:id="echoid-s2736" xml:space="preserve">et hypotenuſa 5 Uln. </s>
            <s xml:id="echoid-s2737" xml:space="preserve">quaeritur
              <lb/>
            perpendiculum. </s>
            <s xml:id="echoid-s2738" xml:space="preserve">Primum angulus 4 gr. </s>
            <s xml:id="echoid-s2739" xml:space="preserve">in columna tabulae
              <lb/>
            ſiniſtra occurrit, & </s>
            <s xml:id="echoid-s2740" xml:space="preserve">ſub hypotenuſa 5 Uln. </s>
            <s xml:id="echoid-s2741" xml:space="preserve">reſpondent eidem
              <lb/>
            279 partes. </s>
            <s xml:id="echoid-s2742" xml:space="preserve">ſed pro {1/4} gr. </s>
            <s xml:id="echoid-s2743" xml:space="preserve">et eadem hypotenuſa 5 uln. </s>
            <s xml:id="echoid-s2744" xml:space="preserve">dantur
              <lb/>
            17. </s>
            <s xml:id="echoid-s2745" xml:space="preserve">p. </s>
            <s xml:id="echoid-s2746" xml:space="preserve">ſumma eſt 296, ſiue 2 oct. </s>
            <s xml:id="echoid-s2747" xml:space="preserve">9 {6/10} dig. </s>
            <s xml:id="echoid-s2748" xml:space="preserve">pro catheto dati
              <lb/>
            anguli.</s>
            <s xml:id="echoid-s2749" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div100" type="section" level="1" n="72">
          <head xml:id="echoid-head89" xml:space="preserve">EXEMPLVM III.</head>
          <p>
            <s xml:id="echoid-s2750" xml:space="preserve">Si hypotenuſae adhaererent digiti. </s>
            <s xml:id="echoid-s2751" xml:space="preserve">ut 6 Uln. </s>
            <s xml:id="echoid-s2752" xml:space="preserve">7 digiti. </s>
            <s xml:id="echoid-s2753" xml:space="preserve">pro
              <lb/>
            angulo 16 gr. </s>
            <s xml:id="echoid-s2754" xml:space="preserve">quaeritur perpendiculum. </s>
            <s xml:id="echoid-s2755" xml:space="preserve">pro 6 ulnis eadem eſt
              <lb/>
            1523. </s>
            <s xml:id="echoid-s2756" xml:space="preserve">pro parte octaua ſiue 10 digitis (§. </s>
            <s xml:id="echoid-s2757" xml:space="preserve">16) 27. </s>
            <s xml:id="echoid-s2758" xml:space="preserve">inferatur:
              <lb/>
            </s>
            <s xml:id="echoid-s2759" xml:space="preserve">10. </s>
            <s xml:id="echoid-s2760" xml:space="preserve">dig. </s>
            <s xml:id="echoid-s2761" xml:space="preserve">dant 27 quot 7 dig. </s>
            <s xml:id="echoid-s2762" xml:space="preserve">f. </s>
            <s xml:id="echoid-s2763" xml:space="preserve">18 {9/10} h. </s>
            <s xml:id="echoid-s2764" xml:space="preserve">e. </s>
            <s xml:id="echoid-s2765" xml:space="preserve">unus digitus cum {8/10}
              <lb/>
            digiti partibus.</s>
            <s xml:id="echoid-s2766" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div101" type="section" level="1" n="73">
          <head xml:id="echoid-head90" xml:space="preserve">CONSECTARIVM.</head>
          <p>
            <s xml:id="echoid-s2767" xml:space="preserve">49. </s>
            <s xml:id="echoid-s2768" xml:space="preserve">Ceterum, ſi cui placet ex ueteribus tabulis, in quibus
              <lb/>
            ulnae metallicae 800 minuta tribuuntur, nouas Voig-
              <lb/>
            telianas, decimali proportioni accommodatas componere, fa-
              <lb/>
            cilis erit reductio, et comparatio, aurea trium regula abſoluenda.
              <lb/>
            </s>
            <s xml:id="echoid-s2769" xml:space="preserve">Nam perſpicuum eſt, in integris diſcrimen nullum eſle, ſed idem
              <lb/>
            ſaltem in adhàerentibus partibus octauis, digitis et minutiis
              <lb/>
            occurrere. </s>
            <s xml:id="echoid-s2770" xml:space="preserve">itaque dat@ aliquo tabularum noſtrarum numero,
              <lb/>
            v. </s>
            <s xml:id="echoid-s2771" xml:space="preserve">g. </s>
            <s xml:id="echoid-s2772" xml:space="preserve">pro hypotenuſa 6 Uln. </s>
            <s xml:id="echoid-s2773" xml:space="preserve">et angulo 40 datur perpendicu-
              <lb/>
            lum 3685, omittantur ulnae integrae, et appendix 685, </s>
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