Clavius, Christoph, Geometria practica

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        <div xml:id="echoid-div150" type="section" level="1" n="64">
          <pb o="64" file="094" n="94" rhead="GEOMETR. PRACT."/>
          <p>
            <s xml:id="echoid-s2538" xml:space="preserve">4. </s>
            <s xml:id="echoid-s2539" xml:space="preserve">
              <emph style="sc">Absqve</emph>
            numeris problema efficiemus, vtin pręcedentibus, ſi nimi-
              <lb/>
              <note position="left" xlink:label="note-094-01" xlink:href="note-094-01a" xml:space="preserve">Diſtantiæ in-
                <lb/>
              uentio per ſo-
                <lb/>
              los ſin{us}.</note>
            rum in recta EB, ſumatur portio ED, tot partium æqualium, quot palmi pedeſ-
              <lb/>
            uein E D, differentia ſtationum oculorum exiſtunt, & </s>
            <s xml:id="echoid-s2540" xml:space="preserve">tam angulus E, minor
              <lb/>
            obſeruationis, quam BDC, maior conſtituatur, concurſuſque C, notetur, à quo
              <lb/>
            ad EB, perpendi cularis ducatur CB, &</s>
            <s xml:id="echoid-s2541" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2542" xml:space="preserve">vel ſi angulus rectus efficiatur B, & </s>
            <s xml:id="echoid-s2543" xml:space="preserve">in
              <lb/>
            quouis puncto C, vbi optamus eſſe concurſum, cõſtituatur tam angulus BCD,
              <lb/>
              <note position="left" xlink:label="note-094-02" xlink:href="note-094-02a" xml:space="preserve">Problematis
                <lb/>
              ſoluti@ ſine
                <lb/>
              numeris.</note>
            complemento maioris anguli obſeruationis, quam angulus BCE, complemen-
              <lb/>
            to minoris anguli obſeruationis æqualis, &</s>
            <s xml:id="echoid-s2544" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2545" xml:space="preserve">Reliqua autem abſoluantur, vt in
              <lb/>
            Problemate 1. </s>
            <s xml:id="echoid-s2546" xml:space="preserve">Num. </s>
            <s xml:id="echoid-s2547" xml:space="preserve">6. </s>
            <s xml:id="echoid-s2548" xml:space="preserve">& </s>
            <s xml:id="echoid-s2549" xml:space="preserve">8. </s>
            <s xml:id="echoid-s2550" xml:space="preserve">dictum eſt. </s>
            <s xml:id="echoid-s2551" xml:space="preserve">Idem que efficies per ea, quæ ibid. </s>
            <s xml:id="echoid-s2552" xml:space="preserve">Num.
              <lb/>
            </s>
            <s xml:id="echoid-s2553" xml:space="preserve">7. </s>
            <s xml:id="echoid-s2554" xml:space="preserve">explicata ſunt.</s>
            <s xml:id="echoid-s2555" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div153" type="section" level="1" n="65">
          <head xml:id="echoid-head68" xml:space="preserve">COROLLARIVM.</head>
          <p>
            <s xml:id="echoid-s2556" xml:space="preserve">
              <emph style="sc">Igitvr</emph>
            ſi diſtantia ſigni ex turre viſi vſque ad turrim nota fuerit, nimirum
              <lb/>
            recta CB, rep erietur altitudo turris per vnicam ſtationem in faſtigio A factam:
              <lb/>
            </s>
            <s xml:id="echoid-s2557" xml:space="preserve"> ſi videlicet fiat,</s>
          </p>
          <note symbol="a" position="left" xml:space="preserve">4. Triang.
            <lb/>
          rectil.</note>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt ſin{us} to- \\ t{us} C B, # ad B D, Tangentem anguli BCD, qui comple- \\ mentum eſt anguli obſeruationis ‘D, # Ita diſt antia \\ nota C B, # ad B D,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s2558" xml:space="preserve">Et ſi ex inuenta B D, auferatur menſoris ſtatura A D, nota relin quetur altitudo
              <lb/>
            turris B A.</s>
            <s xml:id="echoid-s2559" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Altitudinis
            <lb/>
          inuentio per
            <lb/>
          vnicam ſta-
            <lb/>
          tionem quan-
            <lb/>
          do diſtantia
            <lb/>
          @ota est.</note>
        </div>
        <div xml:id="echoid-div154" type="section" level="1" n="66">
          <head xml:id="echoid-head69" xml:space="preserve">VEL PER SOLOS SINVS.</head>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt ſin{us} anguli ob- \\ ſeruationis D, # ad diſtantiam \\ C B, notam # Ita ſin{us} anguli B C D, complemen- \\ ti anguli obſeruationis D. # ad B D
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s2560" xml:space="preserve">
              <emph style="sc">Qvod</emph>
            ſi oculus D, ſtatuatur in aliqua feneſtra turris, adiicienda erit portio
              <lb/>
            turris inter oculum, & </s>
            <s xml:id="echoid-s2561" xml:space="preserve">faſtigium ad altitudinem DB, inuentam. </s>
            <s xml:id="echoid-s2562" xml:space="preserve">Ita namq; </s>
            <s xml:id="echoid-s2563" xml:space="preserve">con-
              <lb/>
            ficietur tota altitudo turris E B, ſi faſtigium ſit E, vt perſpicuum eſt.</s>
            <s xml:id="echoid-s2564" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2565" xml:space="preserve">EX VERTICE MONTIS, AVT TVRRIS ALTITVDI-
              <lb/>
            nem ipſius, ſi in plano, cui inſiſtit, ſpatium aliquod è directo menſoris
              <lb/>
            notum ſit, deprehendere.</s>
            <s xml:id="echoid-s2566" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div155" type="section" level="1" n="67">
          <head xml:id="echoid-head70" xml:space="preserve">PROBLEMA V.</head>
          <p>
            <s xml:id="echoid-s2567" xml:space="preserve">1. </s>
            <s xml:id="echoid-s2568" xml:space="preserve">
              <emph style="sc">Qvando</emph>
            ſpatium aliquod D E, è directo
              <lb/>
              <figure xlink:label="fig-094-01" xlink:href="fig-094-01a" number="27">
                <image file="094-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/094-01"/>
              </figure>
            menſoris à monte vel turri remotum fuerit notum,
              <lb/>
            metiemur ipſam altitudinem F G, è faſtigio G, hac
              <lb/>
            r
              <unsure/>
            atione. </s>
            <s xml:id="echoid-s2569" xml:space="preserve">Inſpiciantur termini D, E, per angulos
              <lb/>
            FGD, FGE, ſiue per Quadrantem, pendulum, ſiue
              <lb/>
            ſiue per ſtabilem. </s>
            <s xml:id="echoid-s2570" xml:space="preserve">Et quoniam, poſito ſinu toto
              <lb/>
            GF, Tangentes angulorum obſeruationum ſunt
              <lb/>
            D F, E F, ipſarumque differentia per ſpatium propoſitum: </s>
            <s xml:id="echoid-s2571" xml:space="preserve">Si fiat,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt D E, differentia Tangentium angu- \\ gulis obſeruationum debitarum # ad ſinum to- \\ tum G F: # Ita D E, ſpatium \\ notum # ad G F,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s2572" xml:space="preserve">manifeſta erit altitudo G F, quæſita in partibus ſpatij noti D E,</s>
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