Clavius, Christoph, Geometria practica

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        <div xml:id="echoid-div287" type="section" level="1" n="124">
          <pb o="116" file="146" n="146" rhead="GEOMETR. PRACT."/>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt NI, differentia vm- \\ brarumrectarum # ad Aa, differentiam \\ ſtationum: # Ita AD, latus qua- \\ drati # ad A F,
            <lb/>
          #### Vel ſine reductione.
            <lb/>
          Vt Onumerus, qui relinquitur, \\ ſi numerus genitus ex vmbra \\ verſa in rectam ex quadrato \\ lateris dematur, # ad numerum P, qui \\ ex vmbra verſa BE, \\ in latus AD, produ- \\ citur: # Ita Aa, \\ differẽ- \\ tia ſta- \\ tionum # ad AF,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s4537" xml:space="preserve">producetur AF, altitudo in partibus differentiæ ſtationum Aa, & </s>
            <s xml:id="echoid-s4538" xml:space="preserve">c.</s>
            <s xml:id="echoid-s4539" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4540" xml:space="preserve">4. </s>
            <s xml:id="echoid-s4541" xml:space="preserve">
              <emph style="sc">Iam</emph>
            verò ſi diſtantia FG, à turri ad ſignum G, in Horizonte viſum nota
              <lb/>
            fuerit, facilius per vnicam ſtationem in A, factam altitudinem coniiciemus. </s>
            <s xml:id="echoid-s4542" xml:space="preserve">Nam
              <lb/>
            ſi vmbra recta DC, ſecetur in E, vt in 1. </s>
            <s xml:id="echoid-s4543" xml:space="preserve">figura: </s>
            <s xml:id="echoid-s4544" xml:space="preserve"> Fiat autem.</s>
            <s xml:id="echoid-s4545" xml:space="preserve"/>
          </p>
          <note symbol="a" position="left" xml:space="preserve">4. ſexti.</note>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt vmbra recta D E, # ad latus A D: # Ita diſtantia cognita FG, # ad A F,
            <lb/>
          </note>
          <note symbol="b" position="left" xml:space="preserve">4. ſexti.</note>
          <p>
            <s xml:id="echoid-s4546" xml:space="preserve">Vel quando vmbra verſa BC, ſecetur in E, vt in 2. </s>
            <s xml:id="echoid-s4547" xml:space="preserve">figura; </s>
            <s xml:id="echoid-s4548" xml:space="preserve"> ſi fiat.</s>
            <s xml:id="echoid-s4549" xml:space="preserve"/>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt lat{us} A B, # ad vmbram ver- \\ ſam B E, # Ita diſtantia cognita \\ F G, # ad A F.
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s4550" xml:space="preserve">effi cietnr nota recta AF, in partibus diſtantiæ F G, à qua ſi dematur latus quadra-
              <lb/>
            ti AD, notum in eiſdem partibus diſtantiæ F G, nota relin quetur altitudo DF.</s>
            <s xml:id="echoid-s4551" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4552" xml:space="preserve">
              <emph style="sc">Qvod</emph>
            ſi dio ptra per C, tranſeat, erit diſtantia F G, altitudini AF, æqualis.</s>
            <s xml:id="echoid-s4553" xml:space="preserve">
              <note symbol="c" position="left" xlink:label="note-146-06" xlink:href="note-146-06a" xml:space="preserve">6. primi.</note>
            Dempto ergo latere quadrati AD, altitudo turris DF, cognita fiet.</s>
            <s xml:id="echoid-s4554" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4555" xml:space="preserve">
              <emph style="sc">Hoc</emph>
            idem problema in ſcholio ſequentis problematis abſoluemus per vni-
              <lb/>
            cam ſtationem.</s>
            <s xml:id="echoid-s4556" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4557" xml:space="preserve">ALTITVDINEM turris vel montis ex eius ſummitate per duas ſta-
              <lb/>
            tiones in haſta aliqua erecta factas, inueſtigare per quadratum, quan-
              <lb/>
            do ſignum aliquod in Horizonte videri poteſt.</s>
            <s xml:id="echoid-s4558" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div290" type="section" level="1" n="125">
          <head xml:id="echoid-head128" xml:space="preserve">PROBLEMA IX.</head>
          <figure number="73">
            <image file="146-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/146-01"/>
          </figure>
          <p>
            <s xml:id="echoid-s4559" xml:space="preserve">1. </s>
            <s xml:id="echoid-s4560" xml:space="preserve">
              <emph style="sc">Qvando</emph>
            in ſummitate non eſt pla-
              <lb/>
            nities tanta, vt in ea duæ ſtationes poſsint
              <lb/>
            fieri, erigatur haſta aliqua in qua duæ ſta-
              <lb/>
            tiones fiant. </s>
            <s xml:id="echoid-s4561" xml:space="preserve">Vt ſi altitudo inueſtiganda
              <lb/>
            ſit d F, erigatur haſta d A, & </s>
            <s xml:id="echoid-s4562" xml:space="preserve">centro dio-
              <lb/>
            ptræ applicato ad haſtam primum in a,
              <lb/>
            deinde in A, inſpiciatur ſignum aliquod
              <lb/>
            G, in Horizonte per radios a G, A G, ſe-
              <lb/>
            ceturque primum vtraque vmbra recta in
              <lb/>
            H E, vt in prima figura problematis 3.
              <lb/>
            </s>
            <s xml:id="echoid-s4563" xml:space="preserve">quam hic inuerſo ordine repetiuimus. </s>
            <s xml:id="echoid-s4564" xml:space="preserve">
              <lb/>
            Nam vt in præcedenti problemate dixi-
              <lb/>
            mus, in hac inuerſione D C, fit latus vm-
              <lb/>
            bræ rectæ, & </s>
            <s xml:id="echoid-s4565" xml:space="preserve">B C, verſæ. </s>
            <s xml:id="echoid-s4566" xml:space="preserve">Si ergo, vt in
              <lb/>
            problemate 1. </s>
            <s xml:id="echoid-s4567" xml:space="preserve">demonſtrauimus Num. </s>
            <s xml:id="echoid-s4568" xml:space="preserve">1. </s>
            <s xml:id="echoid-s4569" xml:space="preserve">
              <lb/>
            fiat,</s>
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