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-div138" type="section" level="1" n="101">
          <head xml:id="echoid-head120" xml:space="preserve">
            <emph style="bf">PROBLEMA XI.</emph>
          </head>
          <p style="it">
            <s xml:id="echoid-s3249" xml:space="preserve">75. </s>
            <s xml:id="echoid-s3250" xml:space="preserve">Lineam rectam borizontalem in campo ducere.</s>
            <s xml:id="echoid-s3251" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3252" xml:space="preserve">Reſolutio. </s>
            <s xml:id="echoid-s3253" xml:space="preserve">Caſus 1. </s>
            <s xml:id="echoid-s3254" xml:space="preserve">quando aequalis eſtterrae ſu-
              <lb/>
            perficies, ut liber per eam proſpectus pateat, quilibet in-
              <lb/>
            telligit, rectam lineam horizontalem, baculis poſitis, et
              <lb/>
            menſuratis, funiculo horizonti parallelo, eorum interuallis,
              <lb/>
            donec integram longitudinem lineae componant, definiri.
              <lb/>
            </s>
            <s xml:id="echoid-s3255" xml:space="preserve">Praeterea, ſi ex tenſo inter baculos funiculo, uel ſi malis
              <lb/>
            ex goniodicte, ſuſpendatur compaſſus, hora quoque in
              <lb/>
            quam linea dirigenda eſt, reperietur.</s>
            <s xml:id="echoid-s3256" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3257" xml:space="preserve">Caſus 2. </s>
            <s xml:id="echoid-s3258" xml:space="preserve">quando inaequalis eſt terrae ſuperficies, ſed
              <lb/>
            tamen talis, quae non impedit progreſſum, per lineam re-
              <lb/>
            ctam: </s>
            <s xml:id="echoid-s3259" xml:space="preserve">tum qua area plana eſt, determinatio lineae fiat, eo
              <lb/>
            quem diximus, modo, aſt ubi intercedunt colles, montes-
              <lb/>
            que, tum in locum baſeos horizontalis hypotenuſa ſuccedit.
              <lb/>
            </s>
            <s xml:id="echoid-s3260" xml:space="preserve">Sit 1) ſurſum in colle Dh determinanda linea horizontalis
              <lb/>
              <note position="right" xlink:label="note-0185-01" xlink:href="note-0185-01a" xml:space="preserve">Figur. 12.
                <lb/>
              Tab. 2.</note>
            6 Uln. </s>
            <s xml:id="echoid-s3261" xml:space="preserve">in radice collis pone baculum, et ſuper eum fige
              <lb/>
            goniodictem, quaere primum compaſſo lineae directio-
              <lb/>
            nem, deinceps dirige inſtrumenti mobile crus uerſus ſum-
              <lb/>
            mum collis, et e regione colloca baculum AD, metire li-
              <lb/>
            neam AC, que ſit 10 Uln. </s>
            <s xml:id="echoid-s3262" xml:space="preserve">et ſuſpenſa libella inueni angu-
              <lb/>
            lum C, 10 gr. </s>
            <s xml:id="echoid-s3263" xml:space="preserve">deinde pro hoc angulo baſin BC. </s>
            <s xml:id="echoid-s3264" xml:space="preserve">(§. </s>
            <s xml:id="echoid-s3265" xml:space="preserve">48) 9678,
              <lb/>
            et tandem pro baſi g C 6 Ulnar. </s>
            <s xml:id="echoid-s3266" xml:space="preserve">ob ſimilitudinem triangu-
              <lb/>
            lorum ABC, et eg C infer</s>
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          <p>
            <s xml:id="echoid-s3267" xml:space="preserve">BC \\ 9678:</s>
            <s xml:id="echoid-s3268" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3269" xml:space="preserve">AC \\ 10=</s>
          </p>
          <p>
            <s xml:id="echoid-s3270" xml:space="preserve">gC \\ 6:</s>
            <s xml:id="echoid-s3271" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3272" xml:space="preserve">eC.</s>
            <s xml:id="echoid-s3273" xml:space="preserve">\\ 6073</s>
          </p>
          <p>
            <s xml:id="echoid-s3274" xml:space="preserve">aſſume hanc lineam in hypot@nuſa e C et perpendiculo de-
              <lb/>
            miſſo ex e, baculum in i ſtatue, ita in accliui ſuperficie li-
              <lb/>
            nea horizontali gC reſpondens dabitur. </s>
            <s xml:id="echoid-s3275" xml:space="preserve">Similiter 2) fi de-
              <lb/>
            orſum, ex A uerfus C
              <unsure/>
            in decliui ſolo indicanda efſet linea
              <lb/>
            aliqua. </s>
            <s xml:id="echoid-s3276" xml:space="preserve">iterum quaere lineae horam, et hypotenuſae AC an-
              <lb/>
            gulum et longitudinem, et inueni Af hypotenuſae porti-
              <lb/>
            onem, baſis Bh portioni accommodatam. </s>
            <s xml:id="echoid-s3277" xml:space="preserve">ubi uero 3) </s>
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