Clavius, Christoph, Geometria practica

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            <s xml:id="echoid-s5425" xml:space="preserve">
              <pb o="139" file="169" n="169" rhead="LIBER TERTIVS."/>
            culi applicetur, & </s>
            <s xml:id="echoid-s5426" xml:space="preserve">eius latus CE, circa C, paulatim at-
              <lb/>
              <figure xlink:label="fig-169-01" xlink:href="fig-169-01a" number="100">
                <image file="169-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/169-01"/>
              </figure>
            tollatur, deprimaturue, donec radius viſualis per la-
              <lb/>
            tus interius normæ C E, incedens ſeratur in punctum
              <lb/>
            extremum B, diligenter que notetur punctum F, in
              <lb/>
            quod radius viſualis per alterum latus interius C D,
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            tranſiens incidit. </s>
            <s xml:id="echoid-s5427" xml:space="preserve"> Et quoniam A C, media eſt
              <note symbol="a" position="right" xlink:label="note-169-01" xlink:href="note-169-01a" xml:space="preserve">coroll. @.
                <lb/>
              ſexti.</note>
            portio nalis inter A F, quæ in partibus baculi nota effi-
              <lb/>
            ciatur, & </s>
            <s xml:id="echoid-s5428" xml:space="preserve">diſtantiam AB: </s>
            <s xml:id="echoid-s5429" xml:space="preserve">ſi fiat,
              <lb/>
              <note style="it" position="right" xlink:label="note-169-02" xlink:href="note-169-02a" xml:space="preserve">
                <lb/>
              Vt A F, inter baculum, & pun- \\ ctum F, cognita # ad baculum \\ A C: # Ita bacul{us}
                <unsure/>
              A C, # ad A B,
                <lb/>
              </note>
            Hoc eſt, ſi quadratus numerus baculi per A F, diuidatur, prodibitin Quotiente
              <lb/>
            diſtantia A B, nota in partibus baculi.</s>
            <s xml:id="echoid-s5430" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5431" xml:space="preserve">2. </s>
            <s xml:id="echoid-s5432" xml:space="preserve">
              <emph style="sc">Non</emph>
            absre ſoret, ſi duo clauiculi in vtroque latere normæ interioriaffi-
              <lb/>
            gerentur, vt radius viſualis per illos incedens rectius in B, & </s>
            <s xml:id="echoid-s5433" xml:space="preserve">F, feratur.</s>
            <s xml:id="echoid-s5434" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5435" xml:space="preserve">ALTITVDINEM turris, aut alterius rei per normam inueſtigare.</s>
            <s xml:id="echoid-s5436" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div361" type="section" level="1" n="150">
          <head xml:id="echoid-head153" xml:space="preserve">PROBLEMA XXXII.</head>
          <p>
            <s xml:id="echoid-s5437" xml:space="preserve">1. </s>
            <s xml:id="echoid-s5438" xml:space="preserve">IN ſigura præcedentis problematis ſit metienda altitudo G H. </s>
            <s xml:id="echoid-s5439" xml:space="preserve">Figatur
              <lb/>
            rurſus in A, loco menſoris baculus AC, cuius ſummitati C, angulus rectus nor-
              <lb/>
            mæ applicetur, eiuſq; </s>
            <s xml:id="echoid-s5440" xml:space="preserve">latus CE, paulatim eleuetur, deprimaturue, donec per la-
              <lb/>
            tus interius CE, vertex altitudinis H, conſpiciatur punctumq; </s>
            <s xml:id="echoid-s5441" xml:space="preserve">F, in quo alterum
              <lb/>
            latus CD, incurrit, notetur. </s>
            <s xml:id="echoid-s5442" xml:space="preserve">Et quoniam ducta recta CI, Horizonti parallela, tri-
              <lb/>
            angula ACF, HCI, æquiãgula ſunt; </s>
            <s xml:id="echoid-s5443" xml:space="preserve">ꝙ anguli A, I, recti ſint, & </s>
            <s xml:id="echoid-s5444" xml:space="preserve">ACF, HCI, reliqui
              <lb/>
            ex rectis ACI, HCD, (ſi nimirum communis auſeratur DCI,) æquales: </s>
            <s xml:id="echoid-s5445" xml:space="preserve"> ſi fiat.</s>
            <s xml:id="echoid-s5446" xml:space="preserve">
              <note symbol="b" position="right" xlink:label="note-169-03" xlink:href="note-169-03a" xml:space="preserve">4. ſexti.</note>
              <note style="it" position="right" xlink:label="note-169-04" xlink:href="note-169-04a" xml:space="preserve">
                <lb/>
              Vt bacul{us} \\ A C, # ad A F, inter bacu- \\ lum, & punctum \\ F, cognitam # Ita diſtantia CI, vel A G, quæ \\ nota ſiat per aliquam menſu- \\ ram. # ad IH,
                <lb/>
              </note>
            procreabitur IH, nota, ad quam ſi adij cietur longitudo baculi AC, vel GI, pro-
              <lb/>
            poſita altitudo GH, cognita erit.</s>
            <s xml:id="echoid-s5447" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5448" xml:space="preserve">DISTANTIAM in plano Horizontis, quæ non ſit valde magna, alio
              <lb/>
            modo facillimo dimetiri.</s>
            <s xml:id="echoid-s5449" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div363" type="section" level="1" n="151">
          <head xml:id="echoid-head154" xml:space="preserve">PROBLEMA XXXIII.</head>
          <p>
            <s xml:id="echoid-s5450" xml:space="preserve">1. </s>
            <s xml:id="echoid-s5451" xml:space="preserve">
              <emph style="sc">Qvando</emph>
            planum aliquod exiguam habet longitudinem, ſed tamen
              <lb/>
            menſurari non poteſt, ob aliquod impedimentum, cuiuſmodi ſunt latitu dines
              <lb/>
              <figure xlink:label="fig-169-02" xlink:href="fig-169-02a" number="101">
                <image file="169-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/169-02"/>
              </figure>
            fluminum, & </s>
            <s xml:id="echoid-s5452" xml:space="preserve">ſtagnorum quorum latitudines, quas
              <lb/>
            nunc pro longitu dinibus accipimus, menſurarine-
              <lb/>
            que
              <unsure/>
            unt, ob interiectã aquam, vtemur inter alia hoc
              <lb/>
            etiam artificio. </s>
            <s xml:id="echoid-s5453" xml:space="preserve">Properipam fluminis, aut ſtagni, vel
              <lb/>
            alterius cuiuſcunque reimetiendæ, figatur baculus
              <lb/>
            A B, ad Horizontem rectus cui in puncto B, </s>
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