Clavius, Christoph, Geometria practica

Table of contents

< >
[31.] Rurſus
[32.] XI. LATVS.
[33.] XII. LATVS.
[34.] Deinde.
[35.] Hæc autem tangens hoc etiam modo inuenietur, qui priori præferendus videtur.
[36.] Poſt hæc.
[37.] XIII. LATVS.
[38.] XIIII. ANGVLOS DVOS.
[39.] XV. ANGVLOS DVOS.
[40.] XVI. ANGVLOS OMNES TRES. Ex tribus omnibus lateribus perueſtigare.
[41.] Rurſus.
[42.] XVII. PERPENDICVLAREM IN LATVS quodcunque ex angulo oppoſito cadentem. Ex tribus omnibus lateribus efficere notam.
[43.] FINIS LIBRI PRIMI.
[44.] GEOMETRIÆ PRACTICÆ LIBER SECVNDVS.
[45.] PROBLEMA I.
[46.] ALITER
[47.] ALITER
[48.] ALITER
[49.] LEMMA.
[50.] SCHOLIVM.
[51.] COROLLARIVM I.
[52.] COROLLARIVM II.
[53.] PROBLEMA II.
[54.] 2. ITEM ſi fiat.
[55.] ALITER.
[56.] Ergo ſi fiat,
[57.] Si igitur fiat.
[58.] COROLLARIVM I.
[59.] COROLLARIVM II.
[60.] PROBLEMA III.
< >
page |< < (59) of 450 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div131" type="section" level="1" n="57">
          <p>
            <s xml:id="echoid-s2379" xml:space="preserve">
              <pb o="59" file="089" n="89" rhead="LIBER SSECVNDVS."/>
            diximus, vt manifeſtum eſt, ſi in ea figura Num. </s>
            <s xml:id="echoid-s2380" xml:space="preserve">6. </s>
            <s xml:id="echoid-s2381" xml:space="preserve">altitudo intelligatur F G, & </s>
            <s xml:id="echoid-s2382" xml:space="preserve">
              <lb/>
            diſtantiæ FD, FE, & </s>
            <s xml:id="echoid-s2383" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2384" xml:space="preserve">Idemque efficies per ea, quæ Num. </s>
            <s xml:id="echoid-s2385" xml:space="preserve">7. </s>
            <s xml:id="echoid-s2386" xml:space="preserve">eiuſdem proble-
              <lb/>
            matis 1. </s>
            <s xml:id="echoid-s2387" xml:space="preserve">tradita ſunt.</s>
            <s xml:id="echoid-s2388" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div134" type="section" level="1" n="58">
          <head xml:id="echoid-head61" xml:space="preserve">COROLLARIVM I.</head>
          <p>
            <s xml:id="echoid-s2389" xml:space="preserve">
              <emph style="sc">Itaqve</emph>
            ſi altitudo fuerit nota, inuenietur diſtantia per vnicam ſtationem,
              <lb/>
              <note position="right" xlink:label="note-089-01" xlink:href="note-089-01a" xml:space="preserve">Diſtantiæ in-
                <lb/>
              uentio per v-
                <lb/>
              uicam ſtatio-
                <lb/>
              nem, quand@
                <lb/>
              altitudo notæ
                <lb/>
              est.</note>
            ſi fiat.</s>
            <s xml:id="echoid-s2390" xml:space="preserve"/>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt ſin{us} \\ tot{us} A F, # ad Tangentem F E, complementi \\ anguli in propinquiore ſtatione: \\ vel \\ ad Tangentem F G, complementi \\ anguli in remotiore ſtatione: # ita altitu- \\ do nota \\ A F, # ad diſtan- \\ tiam F E, \\ vel \\ ad diſtan- \\ tiam F G.
            <lb/>
          </note>
          <note symbol="a" position="right" xml:space="preserve">4. triang.
            <lb/>
          rectil.</note>
          <p>
            <s xml:id="echoid-s2391" xml:space="preserve">
              <emph style="sc">Item</emph>
            ſi diſtantia nota fuerit, reperietur altitudo per vnicam quoq; </s>
            <s xml:id="echoid-s2392" xml:space="preserve">ſtatio-
              <lb/>
            nem, ſi fiat,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt ſin{us} to- \\ t{us} G F, # ad A F, Tangentem anguli G, \\ obſeruati in remotiori ſtatione: # ita G F, diſtan- \\ tia nota # ad AF, al- \\ titudinem
            <lb/>
          #### Vel
            <lb/>
          Vt ſin{us} to- \\ t{us} E F, # ad AF, Tangentem anguli E, \\ obſeruati in ſtatione propin- \\ quiore: # ita E F, diſtan- \\ tia nota, # ad A F, alti- \\ tudinem.
            <lb/>
          </note>
        </div>
        <div xml:id="echoid-div136" type="section" level="1" n="59">
          <head xml:id="echoid-head62" xml:space="preserve">COROLLARIVM II.</head>
          <p>
            <s xml:id="echoid-s2393" xml:space="preserve">
              <emph style="sc">Manifestvm</emph>
            etiam eſt, ſi punctum A, ſit cacumen alicuius montis eo-
              <lb/>
            dem pacto inueſtigari poſſe lineam perpendicularem A F, quæ ex cacumine in
              <lb/>
            Horizontis planum demittitur: </s>
            <s xml:id="echoid-s2394" xml:space="preserve">ſi nimirum duæ ſtationes fiant in E, G.</s>
            <s xml:id="echoid-s2395" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2396" xml:space="preserve">EX VERTICE montis, aut turris, in cuius ſummitate duæ ſtationes
              <lb/>
            fieri poſſint, è quibus ſignum aliquod in Horizonte appareat, altitu-
              <lb/>
            din em ipſius montis, turriſue dimetiri. </s>
            <s xml:id="echoid-s2397" xml:space="preserve">Atque hinc ipſam quoque di-
              <lb/>
            ſtantiam à turris baſi, vel perpendiculo montis ad ſignum illud inue-
              <lb/>
            ſtigare.</s>
            <s xml:id="echoid-s2398" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div137" type="section" level="1" n="60">
          <head xml:id="echoid-head63" xml:space="preserve">PROBLEMA III.</head>
          <p>
            <s xml:id="echoid-s2399" xml:space="preserve">1. </s>
            <s xml:id="echoid-s2400" xml:space="preserve">
              <emph style="sc">Sit</emph>
            mons, aut turris G H N M, cuius altitudo perpendiculum E F, vel
              <lb/>
            etiam latus turris G M, vel HN. </s>
            <s xml:id="echoid-s2401" xml:space="preserve">Eligantur duæ ſtationes in G, H; </s>
            <s xml:id="echoid-s2402" xml:space="preserve">& </s>
            <s xml:id="echoid-s2403" xml:space="preserve">ab oculo
              <lb/>
            menſoris tamin I, quam in K, poſito cerni poſsit ſignum L, in Horizonte, vel
              <lb/>
            plano, cui turris, aut mons inſiſtit. </s>
            <s xml:id="echoid-s2404" xml:space="preserve">Dirigatur latus Quadrantis penduli, in quo
              <lb/>
            pinnacidia, verſus L, diligenterq; </s>
            <s xml:id="echoid-s2405" xml:space="preserve">angulus K, notetur, quem arcus Quadrantis
              <lb/>
            inter latus pinnacidiorum, & </s>
            <s xml:id="echoid-s2406" xml:space="preserve">filum perpendiculi libere pendentis determinat.
              <lb/>
            </s>
            <s xml:id="echoid-s2407" xml:space="preserve">Eodemque pacto angulus I, obſeruetur. </s>
            <s xml:id="echoid-s2408" xml:space="preserve">Per Quadrantem ſtabilem vterque
              <lb/>
            obſeruabitur, ſi vnum eius latus ad Horizontem ſitrectũ, (quod tum demũ </s>
          </p>
        </div>
      </text>
    </echo>