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-div101" type="section" level="1" n="73">
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            <s xml:id="echoid-s2773" xml:space="preserve">
              <pb o="30" file="0146" n="151" rhead="GEOMETRIA SVBTERRANEA."/>
            ſummae 800 minutorum competit, contendatur cum ſumma
              <lb/>
            1000 minutorum, hac analogia:</s>
            <s xml:id="echoid-s2774" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">800: # 685 # = # 1000: # 856 uel
            <lb/>
          8: # 685 # = # 10: # 856
            <lb/>
          4: # 685 # = # 5: # 856</note>
          <p>
            <s xml:id="echoid-s2775" xml:space="preserve">Itaque illi hypotenuſae et angulo in tabulis Voigtelii re-
              <lb/>
            ſpondebunt 3 Uln. </s>
            <s xml:id="echoid-s2776" xml:space="preserve">8 m. </s>
            <s xml:id="echoid-s2777" xml:space="preserve">5 ſ. </s>
            <s xml:id="echoid-s2778" xml:space="preserve">6 tert. </s>
            <s xml:id="echoid-s2779" xml:space="preserve">
              <emph style="sc">Voigtel</emph>
            , p. </s>
            <s xml:id="echoid-s2780" xml:space="preserve">53 habet
              <lb/>
            3857, quia reſiduam in diuiſione fractionem negligere noluit.
              <lb/>
            </s>
            <s xml:id="echoid-s2781" xml:space="preserve">Et cum huius analogiae ſolutio, ob ciphras primo et tertio nu-
              <lb/>
            mero annexas, et quia magni numeri 800, 1000, ad paruos
              <lb/>
            aeque rationales 4: </s>
            <s xml:id="echoid-s2782" xml:space="preserve">5 reduci poſſunt, facilis ſit, apparet, ex
              <lb/>
            tabulis ſequentibus Voigtelianas integras non adeo taedioſa
              <lb/>
            opera componi, et propterea recte hoc loco ueteres et uſita-
              <lb/>
            tas menſoribus noſtris tabulas, nouis et nondum receptis an-
              <lb/>
            teferri. </s>
            <s xml:id="echoid-s2783" xml:space="preserve">Interim
              <emph style="sc">Voigtelivs</emph>
            , qui ueteres tabulas omiſit,
              <lb/>
            indicem tamen numerorum commutatorum a 1000 uſque ad
              <lb/>
            1 continuatum dedit. </s>
            <s xml:id="echoid-s2784" xml:space="preserve">p. </s>
            <s xml:id="echoid-s2785" xml:space="preserve">62. </s>
            <s xml:id="echoid-s2786" xml:space="preserve">ſq.</s>
            <s xml:id="echoid-s2787" xml:space="preserve"/>
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        <div xml:id="echoid-div102" type="section" level="1" n="74">
          <head xml:id="echoid-head91" xml:space="preserve">SCHOLION I.</head>
          <p style="it">
            <s xml:id="echoid-s2788" xml:space="preserve">50. </s>
            <s xml:id="echoid-s2789" xml:space="preserve">Vt autem inuentio perpendiculorum et baſium trianguli re-
              <lb/>
            ctanguli, qua perpetuo menſores fodinarum opus babent,
              <lb/>
            facilitetur, operae pretium uiſum eſt, tabulas eum in finem compo-
              <lb/>
            ſitas bic inſerere.</s>
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