Clavius, Christoph, Geometria practica

Page concordance

< >
Scan Original
61 31
62 32
63 33
64 34
65 35
66 36
67 37
68 38
69 39
70 40
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
< >
page |< < (76) of 450 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div190" type="section" level="1" n="82">
          <pb o="76" file="106" n="106" rhead="GEOMETR. PRACT."/>
        </div>
        <div xml:id="echoid-div191" type="section" level="1" n="83">
          <head xml:id="echoid-head86" xml:space="preserve">PROBLEMA XVIII.</head>
          <p>
            <s xml:id="echoid-s3005" xml:space="preserve">1. </s>
            <s xml:id="echoid-s3006" xml:space="preserve">
              <emph style="sc">Minor</emph>
            altitudo A B, ex maiore C D, co-
              <lb/>
              <figure xlink:label="fig-106-01" xlink:href="fig-106-01a" number="42">
                <image file="106-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/106-01"/>
              </figure>
            gnita proponatur addiſcenda, etiamſi baſis B, non
              <lb/>
            cernatur. </s>
            <s xml:id="echoid-s3007" xml:space="preserve">Concipiatur ducta recta AE, ipſi BD, pa-
              <lb/>
            rallela, vt E D, minorialtitudini AB, ſit æqualis. </s>
            <s xml:id="echoid-s3008" xml:space="preserve">Si
              <lb/>
            igitur ex duabus ſtationibus in ſummitate maioris
              <lb/>
            altitu dinis C D, factis, per problema 3. </s>
            <s xml:id="echoid-s3009" xml:space="preserve">vel ex dua-
              <lb/>
            bus feneſtris, per problema 4. </s>
            <s xml:id="echoid-s3010" xml:space="preserve">inueſtigetur tam alti-
              <lb/>
            tudo C E, quam diſtantia A E, inſpecto@cacumine
              <lb/>
            A, ac ſi eſſet ſignum aliquod in Horizonte A E, vi-
              <lb/>
            ſum, & </s>
            <s xml:id="echoid-s3011" xml:space="preserve">CE, ex tota altitu dine C D, auferatur, reli-
              <lb/>
            qua ED, hoc eſt, minor altitudo fiet nota. </s>
            <s xml:id="echoid-s3012" xml:space="preserve">Diſtan-
              <lb/>
            tia autem AE, inuenta quæſitæ BD, eſt æqualis: </s>
            <s xml:id="echoid-s3013" xml:space="preserve">ac
              <lb/>
            proinde DB, cognita erit.</s>
            <s xml:id="echoid-s3014" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3015" xml:space="preserve">ALTITVDINEM minorem ex maiori incognita, dummodo baſis
              <lb/>
            minoris videri poſſit, per Quadrantem explorare. </s>
            <s xml:id="echoid-s3016" xml:space="preserve">Atque hinc diſtan-
              <lb/>
            tiam quoque inter duas altitudines coniicere.</s>
            <s xml:id="echoid-s3017" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div193" type="section" level="1" n="84">
          <head xml:id="echoid-head87" xml:space="preserve">PROBLEMA XIX.</head>
          <p>
            <s xml:id="echoid-s3018" xml:space="preserve">1. </s>
            <s xml:id="echoid-s3019" xml:space="preserve">
              <emph style="sc">Repetatvr</emph>
            figura præcedentis problematis. </s>
            <s xml:id="echoid-s3020" xml:space="preserve">Et quia baſis B, minoris
              <lb/>
            altitudinis ex maiore apparet; </s>
            <s xml:id="echoid-s3021" xml:space="preserve">ſi punctum B, ex duabus ſtationibus in ſummitate
              <lb/>
            maioris altitudinis C D, factis inſpiciatur, reperietur per problema 3. </s>
            <s xml:id="echoid-s3022" xml:space="preserve">tã altitudo
              <lb/>
            maior CD. </s>
            <s xml:id="echoid-s3023" xml:space="preserve">quam diſtantia BD. </s>
            <s xml:id="echoid-s3024" xml:space="preserve">Quod etiam efficies per problema 4. </s>
            <s xml:id="echoid-s3025" xml:space="preserve">ſi punctum
              <lb/>
            B, ex duabus feneſtris maioris altitudinis C D, inſpiciatur. </s>
            <s xml:id="echoid-s3026" xml:space="preserve">Cognita ergo altitu-
              <lb/>
            dine maiori CD, inuenietur minor altitudo AB, vtin præcedẽti problemate tra-
              <lb/>
            ditũ eſt. </s>
            <s xml:id="echoid-s3027" xml:space="preserve">Cũ igitur & </s>
            <s xml:id="echoid-s3028" xml:space="preserve">diſtãtia BD, ſit explorata, patet ſolutio ꝓblematis ꝓpoſiti.</s>
            <s xml:id="echoid-s3029" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3030" xml:space="preserve">PORTIONEM altitudinis maioris ex minore altitudine, & </s>
            <s xml:id="echoid-s3031" xml:space="preserve">m@noris
              <lb/>
            portionem ex maiori cognoſcere per Quadrantem.</s>
            <s xml:id="echoid-s3032" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div194" type="section" level="1" n="85">
          <head xml:id="echoid-head88" xml:space="preserve">PROBLEMA XX.</head>
          <p>
            <s xml:id="echoid-s3033" xml:space="preserve">1. </s>
            <s xml:id="echoid-s3034" xml:space="preserve">
              <emph style="sc">Sit</emph>
            portio A C, maioris altitudinis A B, exquirenda
              <lb/>
              <figure xlink:label="fig-106-02" xlink:href="fig-106-02a" number="43">
                <image file="106-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/106-02"/>
              </figure>
            ex minore altitudine DE: </s>
            <s xml:id="echoid-s3035" xml:space="preserve">Item portio FG, minoris altitudi-
              <lb/>
            nis FB, ex altitudine maiore DE. </s>
            <s xml:id="echoid-s3036" xml:space="preserve">SiDE, altitudo minor eſt
              <lb/>
            portione C B, inueſtigetur tam altitudo maior A B, quam
              <lb/>
            CB, ex minore altitudine DE, per problema 16. </s>
            <s xml:id="echoid-s3037" xml:space="preserve">vel 17. </s>
            <s xml:id="echoid-s3038" xml:space="preserve">pro-
              <lb/>
            ut videlicet D E, cognita fuerit, aut incognita. </s>
            <s xml:id="echoid-s3039" xml:space="preserve">Nam
              <lb/>
            C B, ablata ex A B, notam relinquet portionem A C, quæ-
              <lb/>
            ſitam.</s>
            <s xml:id="echoid-s3040" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3041" xml:space="preserve">2. </s>
            <s xml:id="echoid-s3042" xml:space="preserve">
              <emph style="sc">Si</emph>
            vero D E, maior eſt portione F B, explorandaq;
              <lb/>
            </s>
            <s xml:id="echoid-s3043" xml:space="preserve">ſit portio AF; </s>
            <s xml:id="echoid-s3044" xml:space="preserve">in quirẽda quidem erit maior altitudo A B, ex
              <lb/>
            minore D E, per problema 16. </s>
            <s xml:id="echoid-s3045" xml:space="preserve">vel 17. </s>
            <s xml:id="echoid-s3046" xml:space="preserve">At vero altitudo </s>
          </p>
        </div>
      </text>
    </echo>
Impressum