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-s2663" xml:space="preserve">
              <pb o="27" file="0143" n="148" rhead="GEOMETRIA SVBTERRANEA."/>
            tur, et tantum illud notatur, tabulas accommodatas eſſe li-
              <lb/>
            bellis, quae gradus in partes 4 diuiſos habent, fiquidem tot
              <lb/>
            partes ad geometriae ſubterraneae ſcopum obtinendum
              <lb/>
            ſufficiunt.</s>
            <s xml:id="echoid-s2664" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2665" xml:space="preserve">2. </s>
            <s xml:id="echoid-s2666" xml:space="preserve">Exhibentur autem angulorum a libella indicato-
              <lb/>
            rum gradus in prima ſiniſtra et ultima columna dextra, et
              <lb/>
            ita quidem, ut utrinque in illis columnis complementa ad
              <lb/>
            quadrantem ponantur, ſiquidem in triangulo rectangulo,
              <lb/>
            crura ſunt ſinus oppoſitorum angulorum acutorum, hypo-
              <lb/>
            tenufa pro ſinu toto aſſumta. </s>
            <s xml:id="echoid-s2667" xml:space="preserve">(§. </s>
            <s xml:id="echoid-s2668" xml:space="preserve">27. </s>
            <s xml:id="echoid-s2669" xml:space="preserve">Trigon. </s>
            <s xml:id="echoid-s2670" xml:space="preserve">Pl.) </s>
            <s xml:id="echoid-s2671" xml:space="preserve">iſtos autem
              <lb/>
            angulos iunctos rectam componere, ex geometriae primis
              <lb/>
            elementis notum eſt. </s>
            <s xml:id="echoid-s2672" xml:space="preserve">(§. </s>
            <s xml:id="echoid-s2673" xml:space="preserve">63. </s>
            <s xml:id="echoid-s2674" xml:space="preserve">64. </s>
            <s xml:id="echoid-s2675" xml:space="preserve">Geom.) </s>
            <s xml:id="echoid-s2676" xml:space="preserve">in columna uero
              <lb/>
            ſiniſtra deorſum gradus numerantur, quando ex hypotenu-
              <lb/>
            ſa et angulo cathetus quaeritur; </s>
            <s xml:id="echoid-s2677" xml:space="preserve">quando autem, ex hypo-
              <lb/>
            tenuſa et angulo, baſis deſideratur, anguli in dextra colu-
              <lb/>
            mna quaeruntur, et gradus ſurſum numerantur, prouti et-
              <lb/>
            iam poſita in principio et fine, catheti et baſeos nomi-
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            na indicant.</s>
            <s xml:id="echoid-s2678" xml:space="preserve"/>
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            <s xml:id="echoid-s2679" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2680" xml:space="preserve">In fronte tabularum poſiti numeri, deſignant hy-
              <lb/>
            potenuſas, ſiue funiculorum longitudines. </s>
            <s xml:id="echoid-s2681" xml:space="preserve">praemittuntur
              <lb/>
            partes octauae et quartae alicuius ulnae, poſtea ulnae in-
              <lb/>
            tegrae ſequuntur. </s>
            <s xml:id="echoid-s2682" xml:space="preserve">in quarum quidem numero intermediae
              <lb/>
            quaedam deſunt, ſed eaedem reliquarum compoſitione
              <lb/>
            producuntur. </s>
            <s xml:id="echoid-s2683" xml:space="preserve">Nimirum ex praecedente monito, quo-
              <lb/>
            modo hypotenuſae in fronte, anguli uero pro catheto et
              <lb/>
            baſi in ſiniſtra et dextra columna reperiantur, dictum eſt,
              <lb/>
            utroque caſu in communi area, quae ſuperiori et a latere po-
              <lb/>
            ſito numero reſpondet, magnitudo perpendiculi uel ba-
              <lb/>
            ſeos optata occurrit. </s>
            <s xml:id="echoid-s2684" xml:space="preserve">et quando unus tantum obuius in illa
              <lb/>
            area eſt numerus, uti ſub principium contingit, ſerupuli,
              <lb/>
            ſiue decimae digiti partes, eodem ſignificantur. </s>
            <s xml:id="echoid-s2685" xml:space="preserve">Ubi duae
              <lb/>
            notae uel numeri conſpiciuntur, prima ſiniſterior </s>
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