Clavius, Christoph, Geometria practica

Page concordance

< >
Scan Original
71 41
72 42
73 43
74 44
75 45
76 46
77 47
78 48
79 49
80 50
81 51
82 52
83 53
84 54
85 55
86 56
87 57
88 58
89 59
90 60
91 61
92 62
93 63
94 64
95 65
96 68
97 67
98 68
99 69
100 70
< >
page |< < (72) of 450 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div181" type="section" level="1" n="77">
          <p>
            <s xml:id="echoid-s2829" xml:space="preserve">
              <pb o="72" file="102" n="102" rhead="GEOMETR. PRACT."/>
            intueri poſsit, longitu dinem A B, venabimur. </s>
            <s xml:id="echoid-s2830" xml:space="preserve">Sinamque ex C, ad ſiniſtram,
              <lb/>
            vel dextram procedemus, donec in D, vtrumq; </s>
            <s xml:id="echoid-s2831" xml:space="preserve">extremũ videamus, inuenietur
              <lb/>
            tranſuerſa longitu do AB, per problema 10. </s>
            <s xml:id="echoid-s2832" xml:space="preserve">vt prius. </s>
            <s xml:id="echoid-s2833" xml:space="preserve">Neque vero refert, ſiue per
              <lb/>
            angulum rectum BCD, recedatur in latus, ſiue per angulum acutum BAD, & </s>
            <s xml:id="echoid-s2834" xml:space="preserve">c.</s>
            <s xml:id="echoid-s2835" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2836" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2837" xml:space="preserve">
              <emph style="sc">Operatio</emph>
            ſine numeris inſtituenda eſt, vt in ſuperioribus.</s>
            <s xml:id="echoid-s2838" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2839" xml:space="preserve">4. </s>
            <s xml:id="echoid-s2840" xml:space="preserve">
              <emph style="sc">Qvando</emph>
            menſor in A, exiſtens videre poteſt extremum B, inueſtigabi-
              <lb/>
            tur longitudo AB, per problema 8.</s>
            <s xml:id="echoid-s2841" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2842" xml:space="preserve">
              <emph style="sc">Si</emph>
            autem è directo longitudinis exiſtat in C, & </s>
            <s xml:id="echoid-s2843" xml:space="preserve">vtrumque etremum cernat,
              <lb/>
            explorabitur per problema 9. </s>
            <s xml:id="echoid-s2844" xml:space="preserve">eadem longitudo A B.</s>
            <s xml:id="echoid-s2845" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2846" xml:space="preserve">DISTANTIAM alicuius ſigni in Horizonte poſiti, à ſummitate tur-
              <lb/>
            ris, vel muri alicuius, licet ad ipſum ſignum acceſſus non pateat, per
              <lb/>
            quadrantem colligere.</s>
            <s xml:id="echoid-s2847" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div183" type="section" level="1" n="78">
          <head xml:id="echoid-head81" xml:space="preserve">PROBLEMA XIII.</head>
          <p>
            <s xml:id="echoid-s2848" xml:space="preserve">1. </s>
            <s xml:id="echoid-s2849" xml:space="preserve">
              <emph style="sc">In</emph>
            Horizontis plano punctum A, diſtet à ſummi-
              <lb/>
              <figure xlink:label="fig-102-01" xlink:href="fig-102-01a" number="37">
                <image file="102-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/102-01"/>
              </figure>
            tate D, alicuius altitudinis CD, per rectam AD, quam me-
              <lb/>
            tiri iubemur, Vbicunq; </s>
            <s xml:id="echoid-s2850" xml:space="preserve">oculus menſoris exiſtat, nimirum
              <lb/>
            in B, vt ſit ſtatura menſoris BG, inueſtigentur per proble-
              <lb/>
            ma 6. </s>
            <s xml:id="echoid-s2851" xml:space="preserve">diſtantiæ punctorum A, D, ab oculo menſoris B.</s>
            <s xml:id="echoid-s2852" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2853" xml:space="preserve">Deinde angulus exploretur A B D, quem nobis præ-
              <lb/>
            bebit Quadrãs cum dioptra, ſi ad oculum ita applicetur,
              <lb/>
            vt eius planum per tria puncta B, A, D, tranſeat, poſito centro in B; </s>
            <s xml:id="echoid-s2854" xml:space="preserve">atque vnum
              <lb/>
            eius latus rectæ B A, incumbat, dioptra vero ad punctum D, dirigatur, & </s>
            <s xml:id="echoid-s2855" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2856" xml:space="preserve">Itaq;
              <lb/>
            </s>
            <s xml:id="echoid-s2857" xml:space="preserve">cum in triangulo B A D, duo latera nota B A, B D, angulum notum contineant
              <lb/>
            B; </s>
            <s xml:id="echoid-s2858" xml:space="preserve"> cognoſcetur quo que latus AD.</s>
            <s xml:id="echoid-s2859" xml:space="preserve"/>
          </p>
          <note symbol="a" position="left" xml:space="preserve">10. triang.
            <lb/>
          rectil.</note>
          <p>
            <s xml:id="echoid-s2860" xml:space="preserve">2. </s>
            <s xml:id="echoid-s2861" xml:space="preserve">
              <emph style="sc">Qva</emph>
            ratione eadem diſtantia AD, exquirenda ſit abſque numeris, do-
              <lb/>
            cuimus Num. </s>
            <s xml:id="echoid-s2862" xml:space="preserve">5. </s>
            <s xml:id="echoid-s2863" xml:space="preserve">problematis 7.</s>
            <s xml:id="echoid-s2864" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2865" xml:space="preserve">ALTITVDINEM inacceſſibilem, cuius baſis non videatur, & </s>
            <s xml:id="echoid-s2866" xml:space="preserve">ad
              <lb/>
            quam per nullum ſpatium ſecundum lineam rectam accedere poſſi-
              <lb/>
            mus, aut recedere, vt duæ ſtationes fieri poſſint, ſed ſolũ ad dextram,
              <lb/>
            ſiniſtramue ad locum, è quo eius baſis appareat, per Quadrantem ex-
              <lb/>
            plorare.</s>
            <s xml:id="echoid-s2867" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div185" type="section" level="1" n="79">
          <head xml:id="echoid-head82" xml:space="preserve">PROBLEMA XIV.</head>
          <figure number="38">
            <image file="102-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/102-02"/>
          </figure>
          <p>
            <s xml:id="echoid-s2868" xml:space="preserve">1. </s>
            <s xml:id="echoid-s2869" xml:space="preserve">Sit altitudo A B, ad quam ex C, loco menſoris
              <lb/>
            non liceat accedere, aut ab earecedere ſecundum li-
              <lb/>
            neam rectam, ſed ſolum in latus, verbigratia vſque ad
              <lb/>
            D, vnde baſem videre poſsimus. </s>
            <s xml:id="echoid-s2870" xml:space="preserve">Inquiratur per pro-
              <lb/>
            blema 10. </s>
            <s xml:id="echoid-s2871" xml:space="preserve">longitudo tranſuerſa A C, ex loco D: </s>
            <s xml:id="echoid-s2872" xml:space="preserve">inſpi-
              <lb/>
            ciatur que vertex B, ex C, per angulum ACB. </s>
            <s xml:id="echoid-s2873" xml:space="preserve">Et quia,
              <lb/>
            poſito ſinu toto A C, altitudo A B, Tangens eſt an-
              <lb/>
            guli obſeruationis ACB, ſi fiat.</s>
            <s xml:id="echoid-s2874" xml:space="preserve"/>
          </p>
          <note symbol="b" position="left" xml:space="preserve">4. Triang.
            <lb/>
          rectil.</note>
        </div>
      </text>
    </echo>
Impressum