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-div133" type="section" level="1" n="97">
          <pb o="66" file="0182" n="187" rhead="GEOMETRIA SVBTERRANEA."/>
        </div>
        <div xml:id="echoid-div134" type="section" level="1" n="98">
          <head xml:id="echoid-head117" xml:space="preserve">CONSECTARIVM.</head>
          <p>
            <s xml:id="echoid-s3129" xml:space="preserve">72. </s>
            <s xml:id="echoid-s3130" xml:space="preserve">Facta cathetorum additione, apparet, ſuperficiem terrae
              <lb/>
            ab oſtio cuniculi usque ad puteum i ſurgere 8 Uln.
              <lb/>
            </s>
            <s xml:id="echoid-s3131" xml:space="preserve">6 octau. </s>
            <s xml:id="echoid-s3132" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s3133" xml:space="preserve">{3/4}, et quia ſupra §. </s>
            <s xml:id="echoid-s3134" xml:space="preserve">59. </s>
            <s xml:id="echoid-s3135" xml:space="preserve">notatum eſt, diſtantiam ho-
              <lb/>
            rizontalium per punctum oſtii extremi, et per principium di-
              <lb/>
            menſionis, ductarum, eſſe 1 {5/8} Uln. </s>
            <s xml:id="echoid-s3136" xml:space="preserve">2. </s>
            <s xml:id="echoid-s3137" xml:space="preserve">dig. </s>
            <s xml:id="echoid-s3138" xml:space="preserve">dum puteus teſte §. </s>
            <s xml:id="echoid-s3139" xml:space="preserve">
              <lb/>
            praec. </s>
            <s xml:id="echoid-s3140" xml:space="preserve">altitudinem 4 {1/4} Uln. </s>
            <s xml:id="echoid-s3141" xml:space="preserve">1. </s>
            <s xml:id="echoid-s3142" xml:space="preserve">dig. </s>
            <s xml:id="echoid-s3143" xml:space="preserve">habet, ſequitur, ſupereſſe,
              <lb/>
            2 {3/4} Uln. </s>
            <s xml:id="echoid-s3144" xml:space="preserve">7. </s>
            <s xml:id="echoid-s3145" xml:space="preserve">dig. </s>
            <s xml:id="echoid-s3146" xml:space="preserve">per quam lineam puteus debet continuari, ut
              <lb/>
            horizontalem cuniculi attingat.</s>
            <s xml:id="echoid-s3147" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div135" type="section" level="1" n="99">
          <head xml:id="echoid-head118" xml:space="preserve">PROBLEMA X.</head>
          <p style="it">
            <s xml:id="echoid-s3148" xml:space="preserve">73. </s>
            <s xml:id="echoid-s3149" xml:space="preserve">Inuenire altitudinem perpendicularem loci alicuius ſubter ter-
              <lb/>
            ram, uel a terrae ſuperficie, uel ab alio loco ſubterraneo.</s>
            <s xml:id="echoid-s3150" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3151" xml:space="preserve">Reſolutio. </s>
            <s xml:id="echoid-s3152" xml:space="preserve">1. </s>
            <s xml:id="echoid-s3153" xml:space="preserve">Quando in menſione fodinarum ſurgen-
              <lb/>
            tes et cadentes ſpecus miſcentur, accipe utriusque generis,
              <lb/>
            nempe ſurgentium et cadentium, ſummas, et minorem a
              <lb/>
            maiore aufer, reſiduum monſtrabit altitudinem, uel depres-
              <lb/>
            ſionem perpendicularem, unius loci prae altero.</s>
            <s xml:id="echoid-s3154" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3155" xml:space="preserve">v.</s>
            <s xml:id="echoid-s3156" xml:space="preserve">g. </s>
            <s xml:id="echoid-s3157" xml:space="preserve">in noſtro exemplo §. </s>
            <s xml:id="echoid-s3158" xml:space="preserve">58. </s>
            <s xml:id="echoid-s3159" xml:space="preserve">erat ſumma cathetorum
              <lb/>
            ſurgentium 4. </s>
            <s xml:id="echoid-s3160" xml:space="preserve">oct. </s>
            <s xml:id="echoid-s3161" xml:space="preserve">2. </s>
            <s xml:id="echoid-s3162" xml:space="preserve">dig. </s>
            <s xml:id="echoid-s3163" xml:space="preserve">ſed ſumma cadentium eſt 2. </s>
            <s xml:id="echoid-s3164" xml:space="preserve">Uln.
              <lb/>
            </s>
            <s xml:id="echoid-s3165" xml:space="preserve">2. </s>
            <s xml:id="echoid-s3166" xml:space="preserve">oct. </s>
            <s xml:id="echoid-s3167" xml:space="preserve">4 {5/10} dig. </s>
            <s xml:id="echoid-s3168" xml:space="preserve">ergo facta ſubtractione, relinquitur 1. </s>
            <s xml:id="echoid-s3169" xml:space="preserve">Uln. </s>
            <s xml:id="echoid-s3170" xml:space="preserve">
              <lb/>
            5. </s>
            <s xml:id="echoid-s3171" xml:space="preserve">oct. </s>
            <s xml:id="echoid-s3172" xml:space="preserve">2 {5/10} dig. </s>
            <s xml:id="echoid-s3173" xml:space="preserve">pro perpendiculari depreſſione loci primi
              <lb/>
            ab ultimo.</s>
            <s xml:id="echoid-s3174" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3175" xml:space="preserve">2. </s>
            <s xml:id="echoid-s3176" xml:space="preserve">Similiter etiam ab alio loco ſubterraneo perpen-
              <lb/>
            dicularis diſtantia habetur, ſi, pro ſumma cathetorum
              <lb/>
            conſtituenda, inde initium ducatur.</s>
            <s xml:id="echoid-s3177" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3178" xml:space="preserve">3. </s>
            <s xml:id="echoid-s3179" xml:space="preserve">Quod ſi uero diſtantiam a loco ſupra terram ſcire
              <lb/>
            deſideres, componatur menſio ſubterranea cum ſubdiali,
              <lb/>
            et utriusque perpendicularis aſcenſus uel deſcenſus quae-
              <lb/>
            ratur. </s>
            <s xml:id="echoid-s3180" xml:space="preserve">nam etiam horum ſumma uel diſcrimen quaeſitum
              <lb/>
            aperiet.</s>
            <s xml:id="echoid-s3181" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3182" xml:space="preserve">v.</s>
            <s xml:id="echoid-s3183" xml:space="preserve">g. </s>
            <s xml:id="echoid-s3184" xml:space="preserve">aſcendat ſuperficies terrae a principio menſio-
              <lb/>
            nis ad aliquem puteum 8 {3/4} Uln.</s>
            <s xml:id="echoid-s3185" xml:space="preserve">, ſpecuum uero </s>
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