Clavius, Christoph, Geometria practica

List of thumbnails

< >
11
11 		12
12
13
13 		14
14
15
15 		16
16
17
17 		18
18
19
19 		20
20
< >
page |< < (74) of 450 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div186" type="section" level="1" n="80">
          <pb o="74" file="104" n="104" rhead="GEOMETR. PRACT."/>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt ſin{us} anguli A D L, \\ differentiæ inter an- \\ gulos obſeruationum \\ ADM, LDM, # ad A L, hoc \\ eſt, ad D E, \\ differentiam \\ ſtationum: # Ita ſin{us} anguli ALD, qui \\ relinquitur, ſi DLM, comple- \\ mentum minoris anguli \\ L D M, obſeruati ex duob{us} \\ rectis ſubtrahatur, # ad AD.
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s2922" xml:space="preserve">Nam productus numerus offeret hypotenuſam AD. </s>
            <s xml:id="echoid-s2923" xml:space="preserve"> Si ergo rurſus fiat,</s>
          </p>
          <note symbol="a" position="left" xml:space="preserve">10. triang.
            <lb/>
          rectil.</note>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt ſin{us} tot{us} an- \\ guli recti M, # ad hypotenuſam \\ AD, inuentam: # Ita ſin{us} maioris anguli \\ obſer uationis ADM, # ad AM,
            <lb/>
          </note>
          <note symbol="b" position="left" xml:space="preserve">10. triang.
            <lb/>
          rectil.</note>
          <p>
            <s xml:id="echoid-s2924" xml:space="preserve">procreabitur altitudo A M, & </s>
            <s xml:id="echoid-s2925" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2926" xml:space="preserve"> Siautem fiat,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt ſin{us} to- \\ t{us} anguli \\ recti M, # ad hypotenuſam AD, \\ proxime inuentam, # Ita ſin{us} anguli D A M, \\ complementi maioris an- \\ guli obſeruationis, # ad DM,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s2927" xml:space="preserve">effi cietur diſtantia D M, cognita.</s>
            <s xml:id="echoid-s2928" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2929" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2930" xml:space="preserve">
              <emph style="sc">Si</emph>
            ſine numeris problema ſoluen dum eſt, recurrendum erit ad ſuperiora,
              <lb/>
            præſertim ad Num. </s>
            <s xml:id="echoid-s2931" xml:space="preserve">6. </s>
            <s xml:id="echoid-s2932" xml:space="preserve">8. </s>
            <s xml:id="echoid-s2933" xml:space="preserve">& </s>
            <s xml:id="echoid-s2934" xml:space="preserve">7. </s>
            <s xml:id="echoid-s2935" xml:space="preserve">problematis 1.</s>
            <s xml:id="echoid-s2936" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2937" xml:space="preserve">ALTITVDINEM maiorem ex minori cognita, per duas ſtationes
              <lb/>
            in ſummitate, vel in duabus feneſtris factas, etiamſi ſolum maioris alti-
              <lb/>
            tudinis vertex cernatur, per Quadrantem adinuenire. </s>
            <s xml:id="echoid-s2938" xml:space="preserve">Atque hinc
              <lb/>
            diſtantiam quoque inter altitudines colligere.</s>
            <s xml:id="echoid-s2939" xml:space="preserve"/>
          </p>
          <figure number="40">
            <image file="104-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/104-01"/>
          </figure>
        </div>
        <div xml:id="echoid-div189" type="section" level="1" n="81">
          <head xml:id="echoid-head84" xml:space="preserve">PROBLEMA XVI.</head>
          <p>
            <s xml:id="echoid-s2940" xml:space="preserve">1. </s>
            <s xml:id="echoid-s2941" xml:space="preserve">
              <emph style="sc">Maior</emph>
            altitudo ſit AN, minor tur-
              <lb/>
            ris C O, cognita, ex qua ſolum cacumen
              <lb/>
            A, non autem baſis N, appareat. </s>
            <s xml:id="echoid-s2942" xml:space="preserve">Fiantin
              <lb/>
            ſummitate duæ ſtationes in C, D, menſo-
              <lb/>
            ris que ſtatura ſit C G, vel D E, & </s>
            <s xml:id="echoid-s2943" xml:space="preserve">ad A N,
              <lb/>
            intelligatur ducta perpendicularis G E F.
              <lb/>
            </s>
            <s xml:id="echoid-s2944" xml:space="preserve">Atque inſpecto cacumine A, obſeruentur
              <lb/>
            anguli A E F, AGF. </s>
            <s xml:id="echoid-s2945" xml:space="preserve">Reliqua fiant, vt in 2. </s>
            <s xml:id="echoid-s2946" xml:space="preserve">
              <lb/>
            problemate. </s>
            <s xml:id="echoid-s2947" xml:space="preserve">Si ergo fiat, ſicut in eo pro-
              <lb/>
            blemate demonſtrauimus,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt GM, differentia Tangentium GL, EK, angu- \\ lorum H, I, qui complementa ſunt angulorũ ob- \\ ſeruationum, poſitis ſinub{us} totis HL, IK, # ad GE, diffe- \\ rentiam ſta- \\ tionum: # Ita LH, ſi- \\ n{us} tot{us} # ad FA.
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s2948" xml:space="preserve">Inuenietur altitudo A F, cuiſi adijciatur F N, conflata ex altitudine turris C O,
              <lb/>
            & </s>
            <s xml:id="echoid-s2949" xml:space="preserve">ſtatura menſoris, tota maior altitudo AN, nota euadet. </s>
            <s xml:id="echoid-s2950" xml:space="preserve">Item ſi fiat,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt GM, differentiæ Tan- \\ gentium earundem. # ad GE, differenti- \\ am ſtationum: # Ita GL, Tangens complementi \\ minoris anguli obſeruationis # ad GF,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s2951" xml:space="preserve">pro creabitur diſtantia GF, à qua ſi dematur latitudo turris C O, reliqua erit di-
              <lb/>
            ſtantia inter duas turres.</s>
            <s xml:id="echoid-s2952" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2953" xml:space="preserve">
              <emph style="sc">Hæc</emph>
            omnia in 2. </s>
            <s xml:id="echoid-s2954" xml:space="preserve">problemate demonſtrauimus: </s>
            <s xml:id="echoid-s2955" xml:space="preserve">& </s>
            <s xml:id="echoid-s2956" xml:space="preserve">ob hanc cauſam eiſdem
              <lb/>
            prorſus literis hic vſi ſumus, quas ibivſurpauimus, vt demonſtratio ex illo loco
              <lb/>
            in hunc transferri poſsit.</s>
            <s xml:id="echoid-s2957" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum