Clavius, Christoph, Geometria practica

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        <div xml:id="echoid-div123" type="section" level="1" n="53">
          <pb o="58" file="088" n="88" rhead="GEOMETR. PRACT."/>
          <p>
            <s xml:id="echoid-s2356" xml:space="preserve">inuenta erit altitudo F A, in partibus differentiæ ſtationum, cuiſi adij ciatur F B,
              <lb/>
              <note position="left" xlink:label="note-088-01" xlink:href="note-088-01a" xml:space="preserve">Altitudinis
                <lb/>
              inuentio per
                <lb/>
              Tangent{es}.</note>
            ſtatura menſoris, tota altitudo AB, nota euadet.</s>
            <s xml:id="echoid-s2357" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div126" type="section" level="1" n="54">
          <head xml:id="echoid-head57" xml:space="preserve">2. ITEM ſi fiat.</head>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt G M, differentia Tangen- \\ tium complementorum an- \\ gulorum obſeruationum. # ad G E, diffe- \\ rentiam ſta- \\ tionum: # ita G L, Tangens \\ complementi angu- \\ li obſeruationis in \\ remotiori ſtatione # ad \\ G F,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s2358" xml:space="preserve">effi cietur nota G F, diſtantia maior, quando quidem paulo ante demonſtratum
              <lb/>
              <note position="left" xlink:label="note-088-03" xlink:href="note-088-03a" xml:space="preserve">Diſtantiæ in-
                <lb/>
              uentio.</note>
            eſt, eſſe GM, ad GE, vt GL, ad GF. </s>
            <s xml:id="echoid-s2359" xml:space="preserve">Quod ſi ex GF, inuenta detrahatur GE, dif-
              <lb/>
            ferentia ſtationum, nota relinquetur EF, diſtantia minor.</s>
            <s xml:id="echoid-s2360" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div128" type="section" level="1" n="55">
          <head xml:id="echoid-head58" xml:space="preserve">ALITER.</head>
          <p>
            <s xml:id="echoid-s2361" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2362" xml:space="preserve">
              <emph style="sc">Si</emph>
            per ſolos ſinus dimenſio inſtituatur, inueſtiganda primum erit alteru-
              <lb/>
              <note symbol="a" position="left" xlink:label="note-088-04" xlink:href="note-088-04a" xml:space="preserve">32. primi.</note>
            tra hypotenuſarum GA, EA, vel vtraque. </s>
            <s xml:id="echoid-s2363" xml:space="preserve">hoc ſcilicet modo. </s>
            <s xml:id="echoid-s2364" xml:space="preserve"> Quoniam an- gulus A E F, duobus G, G A E, æqualis eſt, ſi angulus G, in remotiore ſtatione
              <lb/>
            tollatur ex angulo AEF, in ſtatione propinquiore, reliquus fiet angulus GAE,
              <lb/>
            differentia inter duos angulos G, AEF obſeruationum.</s>
            <s xml:id="echoid-s2365" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div130" type="section" level="1" n="56">
          <head xml:id="echoid-head59" xml:space="preserve"> Ergo ſi fiat,</head>
          <note symbol="b" position="left" xml:space="preserve">10. triang.
            <lb/>
          rectil.</note>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt ſin{us} anguli G A E, \\ differentiæ inter duos \\ angulos obſeruationum # ad G E, dif- \\ ferentiam \\ ſtationum: # ita ſin{us} anguli A G E, \\ vel \\ it a ſin{us}(
            <unsure/>
          anguli G E A, \\ complementi)
            <unsure/>
          anguli \\ A E F, ad duosrectos. # ad AE, \\ ad G A,
            <lb/>
          </note>
          <note position="left" xml:space="preserve">Hypotenuſa-
            <lb/>
          rum inuentio.</note>
          <p>
            <s xml:id="echoid-s2366" xml:space="preserve">nota fiet tam A E, quam A G, in partibus differentiæ ſtationum.</s>
            <s xml:id="echoid-s2367" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div131" type="section" level="1" n="57">
          <head xml:id="echoid-head60" xml:space="preserve"> Si igitur fiat.</head>
          <note symbol="c" position="left" xml:space="preserve">10. triang.
            <lb/>
          rectil.</note>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt ſin{us} to- \\ t{us} anguli \\ recti F, # ad rectam \\ E A: \\ vel \\ ad rectam \\ G A, proxi- \\ mè inuentam # ita ſin{us} anguli AEF, in pro- \\ pinquiore ſtatione, \\ vel \\ ita ſin{us} anguli A G F, in re- \\ motiore ſtatione # ad A F, \\ ad A F,
            <lb/>
          </note>
          <note position="left" xml:space="preserve">Altitudinis
            <lb/>
          inuentio per
            <lb/>
          ſolos ſin{us}.</note>
          <p>
            <s xml:id="echoid-s2368" xml:space="preserve">gignetur altitudo A F, & </s>
            <s xml:id="echoid-s2369" xml:space="preserve">ſi adiungetur F B, ſtatura menſoris, tota altitudo AB,
              <lb/>
            efficietur nota.</s>
            <s xml:id="echoid-s2370" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2371" xml:space="preserve">
              <emph style="sc">Distantia</emph>
            autem vtraque E F, G F, per ſolos etiam ſinus inuenietur,
              <note symbol="d" position="left" xlink:label="note-088-11" xlink:href="note-088-11a" xml:space="preserve">10. triang.
                <lb/>
              rectil.</note>
            fiat.</s>
            <s xml:id="echoid-s2372" xml:space="preserve"/>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt ſin{us} \\ tot{us} an- \\ guli recti \\ F. # ad hypotenu- \\ ſam E A. \\ vel \\ ad hypotenu- \\ ſam G A: # ita ſin{us} anguli E A F, complementi \\ anguli in propinquiore ſtatione, \\ vel \\ ita ſin{us} anguli G A F, complementi \\ anguli in remotiore ſtatione. # ad E F.
            <lb/>
          </note>
          <note position="left" xml:space="preserve">Diſtantiæ in-
            <lb/>
          uẽtis per ſo-
            <lb/>
          los ſinus.</note>
          <figure number="24">
            <image file="088-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/088-01"/>
          </figure>
          <p>
            <s xml:id="echoid-s2373" xml:space="preserve">4. </s>
            <s xml:id="echoid-s2374" xml:space="preserve">
              <emph style="sc">Sine</emph>
            numerorum multiplicatione ac diui-
              <lb/>
              <note position="left" xlink:label="note-088-14" xlink:href="note-088-14a" xml:space="preserve">Problemaque
                <lb/>
              pacti ſi ſine
                <lb/>
              @ imeris ſol@
                <lb/>
              u
                <unsure/>
              atur.</note>
            ſione eadem inueſtigabuntur, ſi illi figuræ, quam ab
              <lb/>
            oculo menſoris ad altitu dinem vſque concepimus
              <lb/>
            eſſe conſtruendam, ſimilem omni diligentia conſti-
              <lb/>
            tuamus, vt Num. </s>
            <s xml:id="echoid-s2375" xml:space="preserve">6. </s>
            <s xml:id="echoid-s2376" xml:space="preserve">& </s>
            <s xml:id="echoid-s2377" xml:space="preserve">8. </s>
            <s xml:id="echoid-s2378" xml:space="preserve">præcedentis problematis 1.</s>
            <s xml:id="echoid-s2379" xml:space="preserve"/>
          </p>
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