Clavius, Christoph, Geometria practica

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        <div xml:id="echoid-div204" type="section" level="1" n="92">
          <pb o="80" file="110" n="110" rhead="GEOMETR. PRACT."/>
          <p>
            <s xml:id="echoid-s3137" xml:space="preserve">inuenta erit recta E M, hoc eſt, diſtantia quæſita CB. </s>
            <s xml:id="echoid-s3138" xml:space="preserve"> Et rurſum ſi fiat.</s>
            <s xml:id="echoid-s3139" xml:space="preserve"/>
          </p>
          <note symbol="a" position="left" xml:space="preserve">10. Triang.
            <lb/>
          rectil.</note>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vtſin{us} eiuſ- \\ dem anguli \\ A M E. # adeanďem hy- \\ petenuſam \\ A E, nuper \\ inuentam: # Ita ſin{us} anguli AEM, quirelin- \\ quitur, ſi angulus poſtremo loco \\ obſeruat{us} MHL, vel MEK, ex \\ ængulo maiori obſeruato A E K, \\ detrahatur. # ad AM
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s3140" xml:space="preserve">producetur AM, cuiſi addatur menſoris ſtatura MB, tota altitudo AB, cogni-
              <lb/>
            ta erit.</s>
            <s xml:id="echoid-s3141" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3142" xml:space="preserve">
              <emph style="sc">Danda</emph>
            autem erit opera diligenter, vt tria puncta B, C, D, invna recta ia-
              <lb/>
            ceant, hoc eſt, vtrecta ab vltima ſtatione D, per primam C, ducta per baſem B,
              <lb/>
            tranſeat, quod plus minusiudicio ſenſuum aſſequemur. </s>
            <s xml:id="echoid-s3143" xml:space="preserve">Nam per ea, quæ dicta
              <lb/>
            ſunt hoc loco, ſolum reperitur diſtantia à loco C, vſque ad punctum altitudi-
              <lb/>
            nis, in quod recta DC, protracta incidit, & </s>
            <s xml:id="echoid-s3144" xml:space="preserve">altitudo ab A, vſque ad idem pun-
              <lb/>
            ctum, quod non multum à puncto B, diſtabit, ſi diligentia adhibeatur in ſtatio-
              <lb/>
            nibus C, D, captandis. </s>
            <s xml:id="echoid-s3145" xml:space="preserve">Propter hanc cauſam in propoſitione diximus (prope
              <lb/>
            verum efficere cognitam) quia neque diſtantia C B, neque altitudo AB, præ-
              <lb/>
            cisè cognoſcitur, niſi quando tria puncta B, C, D, in recta linea iacent.</s>
            <s xml:id="echoid-s3146" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3147" xml:space="preserve">2. </s>
            <s xml:id="echoid-s3148" xml:space="preserve">
              <emph style="sc">Vt</emph>
            ſine numerorum auxilio problema effi cias, recurrendum erit ad ſu-
              <lb/>
            periora.</s>
            <s xml:id="echoid-s3149" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3150" xml:space="preserve">PROFVNDITATEM putei, vel ædificii cuiuſcunque ad perpen-
              <lb/>
            diculum erecti, ſi modo angulus fundi, vel ſignum aliquod in fundo
              <lb/>
            poſitum conſpiciatur, per Quadrantem reperire.</s>
            <s xml:id="echoid-s3151" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div207" type="section" level="1" n="93">
          <head xml:id="echoid-head96" xml:space="preserve">PROBLEMA XXIII.</head>
          <figure number="46">
            <image file="110-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/110-01"/>
          </figure>
          <p>
            <s xml:id="echoid-s3152" xml:space="preserve">1. </s>
            <s xml:id="echoid-s3153" xml:space="preserve">
              <emph style="sc">Hoc</emph>
            nihil eſt aliud, niſi turrim ex eius vertice, quan-
              <lb/>
            do in Horizonte ſignum aliquod apparet, per duas ſta-
              <lb/>
            tiones in haſta aliqua factas metiri, vt problemate 4. </s>
            <s xml:id="echoid-s3154" xml:space="preserve">fa-
              <lb/>
            ctum eſt. </s>
            <s xml:id="echoid-s3155" xml:space="preserve">Operationem ergo eius problematis hic repe-
              <lb/>
            temus. </s>
            <s xml:id="echoid-s3156" xml:space="preserve">Sit puteus, ſeu ædificium erectum ABCM, cuius
              <lb/>
            angulus C, in fundo, vel ſignum C, in fundo poſitum
              <lb/>
            conſpicipoſsit. </s>
            <s xml:id="echoid-s3157" xml:space="preserve">Erecta haſta A E, in orificio putei, vel
              <lb/>
            ſummitate ædificij, fiant duæ ſtationes oculi menſoris in
              <lb/>
            D, E, inſpiciatur que punctum C, perradios DC, EC, fa-
              <lb/>
            cientes angulos BDC, BEC: </s>
            <s xml:id="echoid-s3158" xml:space="preserve">Sumptis deinde D F, E G,
              <lb/>
            æqualibus pro ſinubustotis, ducantur ad EB, perpendicu-
              <lb/>
            lares FH, GI, pro Tangentibus angulorũ B D C, B E C,
              <lb/>
            obſeruatorum. </s>
            <s xml:id="echoid-s3159" xml:space="preserve">Ducta quoque D L, ipſi E C, parallela
              <lb/>
            ſecãte FH, in K, vt KH, differentia ſit Tangentium, quem-
              <lb/>
            admodum problemate 4. </s>
            <s xml:id="echoid-s3160" xml:space="preserve">demonſtrauimus. </s>
            <s xml:id="echoid-s3161" xml:space="preserve">Si igitur, vt ibi, fiat hic.
              <lb/>
            </s>
            <s xml:id="echoid-s3162" xml:space="preserve">
              <note style="it" position="right" xlink:label="note-110-03" xlink:href="note-110-03a" xml:space="preserve">
                <lb/>
              Vt K H, differentia in- \\ ter Tangentes an- \\ gulorum obſeruato- \\ rum # ad F K, velad \\ G I, Tangentẽ \\ minorem: # ita D E, differentia ſtatio- \\ num, hoc eſt, ſpatium \\ inter oculos, velangulos \\ obſeruationum. # ad D B,
                <lb/>
              </note>
            </s>
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