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

Page concordance

< >
Scan Original
121
122 726
123
124
125 4
126 5
127 6
128 7
129 8
130 9
131 10
132 11
133 12
134 13
135 14
136 15
137 16
138 17
139 18
140 19
141 20
142 21
143 22
144 23
145 24
146 25
147 26
148 27
149 28
150 29
< >
page |< < (25) of 214 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div89" type="section" level="1" n="65">
          <p>
            <s xml:id="echoid-s2584" xml:space="preserve">
              <pb o="25" file="0141" n="146" rhead="GEOMETRIA SVBTERRANEA."/>
            apparet ex intuitu ſchematis tertii, gradus in libel-
              <lb/>
            la a ſemicirculi medio numerari, ergo filum pon-
              <lb/>
            dere in libella tractum indicat numerum graduum
              <lb/>
            anguli, qui in triangulo rectangulo eſt ad baſin,
              <lb/>
            Q.</s>
            <s xml:id="echoid-s2585" xml:space="preserve">E.</s>
            <s xml:id="echoid-s2586" xml:space="preserve">D.</s>
            <s xml:id="echoid-s2587" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div91" type="section" level="1" n="66">
          <head xml:id="echoid-head83" xml:space="preserve">CONSECTARIVM.</head>
          <p>
            <s xml:id="echoid-s2588" xml:space="preserve">46. </s>
            <s xml:id="echoid-s2589" xml:space="preserve">Quando autem libella e funiculo ſuſpenditur, euidens
              <lb/>
            eſt, funiculi longitudinem, manifeſtare trianguli re-
              <lb/>
            ctanguli abc hypotenuſam, ſiue ſurſum ſiue deorſum funicu-
              <lb/>
            lus ducatur. </s>
            <s xml:id="echoid-s2590" xml:space="preserve">atque adeo, in triangulo rectangulo quouis, an-
              <lb/>
            gulos et hypotenuſam innoteſcere, ex quibus crura inueſti-
              <lb/>
            gare oportet.</s>
            <s xml:id="echoid-s2591" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div92" type="section" level="1" n="67">
          <head xml:id="echoid-head84" xml:space="preserve">PROBLEMA I.</head>
          <p style="it">
            <s xml:id="echoid-s2592" xml:space="preserve">47. </s>
            <s xml:id="echoid-s2593" xml:space="preserve">Data hypotenuſa et angulis trianguli rectanguli, inuenire
              <lb/>
            cathetum et baſin.</s>
            <s xml:id="echoid-s2594" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2595" xml:space="preserve">Reſolutio prima iam data eſt in §. </s>
            <s xml:id="echoid-s2596" xml:space="preserve">35. </s>
            <s xml:id="echoid-s2597" xml:space="preserve">Trigon. </s>
            <s xml:id="echoid-s2598" xml:space="preserve">plan.
              <lb/>
            </s>
            <s xml:id="echoid-s2599" xml:space="preserve">
              <note position="right" xlink:label="note-0141-01" xlink:href="note-0141-01a" xml:space="preserve">Figur. 2.</note>
            nempe aſſumitur hypotenuſa AC pro ſinu toto, et crura
              <lb/>
            CB, BA, ſunt ſinus recti oppoſitorum angulorum. </s>
            <s xml:id="echoid-s2600" xml:space="preserve">Qua-
              <lb/>
            re infertur, pro perpendiculo,
              <lb/>
            Sin. </s>
            <s xml:id="echoid-s2601" xml:space="preserve">B: </s>
            <s xml:id="echoid-s2602" xml:space="preserve">CA = Sin C: </s>
            <s xml:id="echoid-s2603" xml:space="preserve">AB.
              <lb/>
            </s>
            <s xml:id="echoid-s2604" xml:space="preserve">et pro baſi
              <lb/>
            Sin. </s>
            <s xml:id="echoid-s2605" xml:space="preserve">B: </s>
            <s xml:id="echoid-s2606" xml:space="preserve">CA = Sin. </s>
            <s xml:id="echoid-s2607" xml:space="preserve">A: </s>
            <s xml:id="echoid-s2608" xml:space="preserve">CB</s>
          </p>
        </div>
        <div xml:id="echoid-div94" type="section" level="1" n="68">
          <head xml:id="echoid-head85" xml:space="preserve">EXEMPLVM</head>
          <p>
            <s xml:id="echoid-s2609" xml:space="preserve">Sit ac hypotenuſa 6 uln. </s>
            <s xml:id="echoid-s2610" xml:space="preserve">angulus c 10 gr. </s>
            <s xml:id="echoid-s2611" xml:space="preserve">fiat, pro cathe-
              <lb/>
              <note position="right" xlink:label="note-0141-02" xlink:href="note-0141-02a" xml:space="preserve">Figur. 8.</note>
            to ab, ut ſinus ang. </s>
            <s xml:id="echoid-s2612" xml:space="preserve">b 90 gr. </s>
            <s xml:id="echoid-s2613" xml:space="preserve">100000 ad ac 6 uln. </s>
            <s xml:id="echoid-s2614" xml:space="preserve">ita ſinus
              <lb/>
            10 gr. </s>
            <s xml:id="echoid-s2615" xml:space="preserve">{17364--6/104184}
              <lb/>
            {104184/100000} | 1 Uln. </s>
            <s xml:id="echoid-s2616" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s2617" xml:space="preserve">Lacht. </s>
            <s xml:id="echoid-s2618" xml:space="preserve">{418/10000} fiant partes octauae, </s>
          </p>
        </div>
      </text>
    </echo>
Impressum