Clavius, Christoph, Geometria practica

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        <div xml:id="echoid-div340" type="section" level="1" n="144">
          <p>
            <s xml:id="echoid-s5223" xml:space="preserve">
              <pb o="134" file="164" n="164" rhead="GEOMETR. PRACT."/>
            i
              <unsure/>
            n ea cogitetur aſcenſus montis AF, in ſecundo quadrato, & </s>
            <s xml:id="echoid-s5224" xml:space="preserve">F, baſis altitudinis
              <lb/>
            monti impoſitæ.</s>
            <s xml:id="echoid-s5225" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5226" xml:space="preserve">
              <emph style="sc">Deinde</emph>
            ſi idem quadratum in D, ita ſtatuatur, vt rurſus centrum dioptræ
              <lb/>
            ſit in ſublimi, & </s>
            <s xml:id="echoid-s5227" xml:space="preserve">latus infimum ad faſtigium altitu dinis A, recta tendat, idemque
              <lb/>
            punctum A, per dioptraminſpiciatur, reperietur eodem pacto diſtantia à D, vſ-
              <lb/>
            que ad A; </s>
            <s xml:id="echoid-s5228" xml:space="preserve">ſi fiat,
              <lb/>
              <note style="it" position="right" xlink:label="note-164-01" xlink:href="note-164-01a" xml:space="preserve">
                <lb/>
              Vt vmbra verſa abſciſſa # ad lat{us} quadrati: # Ita lat{us} quadrati # ad alin
                <unsure/>
              d.
                <lb/>
              </note>
            </s>
          </p>
          <p>
            <s xml:id="echoid-s5229" xml:space="preserve">
              <emph style="sc">Postremo</emph>
            , accommodato quadrato, ita vt vnum latus rectæ D B, con-
              <lb/>
            gruat, & </s>
            <s xml:id="echoid-s5230" xml:space="preserve">dioptra in A, dirigatur, inuenietur angulus, quem rectæ DB, DA, effi-
              <lb/>
            ciunt, vt in problem 16. </s>
            <s xml:id="echoid-s5231" xml:space="preserve">Num. </s>
            <s xml:id="echoid-s5232" xml:space="preserve">1. </s>
            <s xml:id="echoid-s5233" xml:space="preserve">docuimus. </s>
            <s xml:id="echoid-s5234" xml:space="preserve">Si ergo hic angulus ſeorſum deſcri-
              <lb/>
            batur, & </s>
            <s xml:id="echoid-s5235" xml:space="preserve">in rectis D B, D A, capiantur duæ portiones proportionales, vt in eo-
              <lb/>
            dem problem. </s>
            <s xml:id="echoid-s5236" xml:space="preserve">16. </s>
            <s xml:id="echoid-s5237" xml:space="preserve">Num. </s>
            <s xml:id="echoid-s5238" xml:space="preserve">2. </s>
            <s xml:id="echoid-s5239" xml:space="preserve">tradidimus, reperietur altitudo A B, per interuallum
              <lb/>
            inter duas illas portiones, vt ibi interuallum C D, indagauimus.</s>
            <s xml:id="echoid-s5240" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5241" xml:space="preserve">PROFVNDITATEM putei, vel ædificii cuiuſuis ad perpendicu-
              <lb/>
            lum erecti, ſi modo angulus fundi, vel ſignum aliquod in fundo poſi-
              <lb/>
            tum conſpiciatur, per quadratum efficere cognitam.</s>
            <s xml:id="echoid-s5242" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div345" type="section" level="1" n="145">
          <head xml:id="echoid-head148" xml:space="preserve">PROBLEMA XXVII.</head>
          <p>
            <s xml:id="echoid-s5243" xml:space="preserve">1. </s>
            <s xml:id="echoid-s5244" xml:space="preserve">
              <emph style="sc">Hoc</emph>
            nihil eſt aliud, niſi turrim ex eius vertice, quando in Horizonte ſi-
              <lb/>
            gnum aliquod apparet, per duas ſtationes in haſta aliqua
              <lb/>
              <figure xlink:label="fig-164-01" xlink:href="fig-164-01a" number="95">
                <image file="164-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/164-01"/>
              </figure>
            factas metiri, vt in problem. </s>
            <s xml:id="echoid-s5245" xml:space="preserve">9. </s>
            <s xml:id="echoid-s5246" xml:space="preserve">factum eſt. </s>
            <s xml:id="echoid-s5247" xml:space="preserve">Quare eius pro-
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            blematis praxim hic breuiter repetemus. </s>
            <s xml:id="echoid-s5248" xml:space="preserve">Sit puteus, ſeu
              <lb/>
            ædificium erectum ABCM, cuius angulus C, in fundo, vel
              <lb/>
            ſignum quodpiam C, in fundo poſitum conſpici poſsit.
              <lb/>
            </s>
            <s xml:id="echoid-s5249" xml:space="preserve">Erecta haſta A E, in orificio putei, vel ſummitate ædificij,
              <lb/>
            fiant duæſtationes oculi menſoris in D, E, & </s>
            <s xml:id="echoid-s5250" xml:space="preserve">applicato la-
              <lb/>
            tere quadrati ad haſtam bis, vt modo centrum dioptræ in
              <lb/>
            D, & </s>
            <s xml:id="echoid-s5251" xml:space="preserve">modo in E, ſtatuatur, dirigatur dioptra verſus C. </s>
            <s xml:id="echoid-s5252" xml:space="preserve">Si
              <lb/>
            igitur in vtraque ſtatione dioptra vmbram rectam interſe-
              <lb/>
            cet, quod plerumque in puteorum dimenſi onefieri ſolet: </s>
            <s xml:id="echoid-s5253" xml:space="preserve">
              <lb/>
            Fiat autem,
              <lb/>
              <note style="it" position="right" xlink:label="note-164-02" xlink:href="note-164-02a" xml:space="preserve">
                <lb/>
              Vt differentia vmbra- \\ rum rectarum # Ad D E, differen- \\ tia ſtationum # Ita vmbra re- \\ cta maior # ad E B,
                <lb/>
              </note>
            exibit recta E B, nota in partibus differentiæ ſtationum D E. </s>
            <s xml:id="echoid-s5254" xml:space="preserve">Si ergo auferatur
              <lb/>
            recta E A, compoſita ex differentia ſtationum D E, & </s>
            <s xml:id="echoid-s5255" xml:space="preserve">portione haſtæ D A, quæ
              <lb/>
            plerunque ſtaturæ menſoris eſſe ſolet æqualis, vel certe facile meſurari poteſt,
              <lb/>
            nota relinquetur altitudo AB, quæſita.</s>
            <s xml:id="echoid-s5256" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5257" xml:space="preserve">2. </s>
            <s xml:id="echoid-s5258" xml:space="preserve">
              <emph style="sc">Si</emph>
            vero in vtra que ſtatione vmbra verſa interſecetur, & </s>
            <s xml:id="echoid-s5259" xml:space="preserve"/>
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