Clavius, Christoph, Geometria practica
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          <pb o="63" file="093" n="93" rhead="LIBER SECVNDVS."/>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt D F, ſin{us} \\ tot{us} # ad F H, Tangentem \\ maiorem: # Ita D B, altitudo inuen- \\ ta # ad B C,
            <lb/>
          </note>
          <note position="right" xml:space="preserve">Diſtantiæ in-
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          uentio.</note>
          <p>
            <s xml:id="echoid-s2517" xml:space="preserve">inuenta erit diſtantia B C.</s>
            <s xml:id="echoid-s2518" xml:space="preserve"/>
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        <div xml:id="echoid-div148" type="section" level="1" n="63">
          <head xml:id="echoid-head66" xml:space="preserve">ALITER.</head>
          <p>
            <s xml:id="echoid-s2519" xml:space="preserve">2. </s>
            <s xml:id="echoid-s2520" xml:space="preserve">
              <emph style="sc">Posito</emph>
            ſinu toto C B, erit B E, Tangens anguli B C E, complementi
              <lb/>
            minoris anguli obſeruationis E, & </s>
            <s xml:id="echoid-s2521" xml:space="preserve">BD, Tangens anguli B C D, complementi
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            maioris anguli obſeruationis D; </s>
            <s xml:id="echoid-s2522" xml:space="preserve">ideo que D E, differentia illarum Tangentium.
              <lb/>
            </s>
            <s xml:id="echoid-s2523" xml:space="preserve">Quamobrem ſi fiat,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
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          Vt D E, differentia Tangen- \\ tium complementorum an- \\ gulorũ obſer uationum # ad D B, tangen- \\ tem minorem: # Ita D E, differentia ſta- \\ tionum oculorum # ad D B,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s2524" xml:space="preserve">prodibit altitudo D B, cognita ab oculo in prima ſtatione vſque ad baſem alti-
              <lb/>
              <note position="right" xlink:label="note-093-04" xlink:href="note-093-04a" xml:space="preserve">Altitudinis
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              inuentio aliæ.</note>
            tudinis, &</s>
            <s xml:id="echoid-s2525" xml:space="preserve">c.</s>
            <s xml:id="echoid-s2526" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div150" type="section" level="1" n="64">
          <head xml:id="echoid-head67" xml:space="preserve">ALITER.</head>
          <p>
            <s xml:id="echoid-s2527" xml:space="preserve">3. </s>
            <s xml:id="echoid-s2528" xml:space="preserve">
              <emph style="sc">Vt</emph>
            per ſolos ſinus inſtituatur operatio, inueſtiganda prius eſt vtraque
              <lb/>
            hypotenuſa C D, C E, vel alterutra earum, hoc modo. </s>
            <s xml:id="echoid-s2529" xml:space="preserve"> Quoniam
              <note symbol="a" position="right" xlink:label="note-093-05" xlink:href="note-093-05a" xml:space="preserve">29. primi.</note>
            BDC, duobus E, & </s>
            <s xml:id="echoid-s2530" xml:space="preserve">DCE, æqualis eſt, ſi minor angulus obſeruationis E, ex ma-
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            iori angulo obſeruationis BDC, ſubtrahatur, notus relinquetur angulus DCE.
              <lb/>
            </s>
            <s xml:id="echoid-s2531" xml:space="preserve"> Itaque ſi fiat,</s>
          </p>
          <note symbol="b" position="right" xml:space="preserve">10. triang.
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          rectil.</note>
          <note style="it" position="right" xml:space="preserve">
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          Vt ſin{us} anguli D C E differen- \\ tiæ angulorum obſeruatio- \\ num # ad D E, differen- \\ tiam ſtationum \\ oculorum: # Ita ſin{us} minoris \\ anguli obſeruatio- \\ nis E, # ad C D-
            <lb/>
          # # Vel
            <lb/>
          # # Ita ſin{us} anguli \\ E D C, complemen- \\ ti maioris anguli \\ obſeruationis ad \\ duos rectos, # ad C E,
            <lb/>
          </note>
          <note position="right" xml:space="preserve">Hypotenu-
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          ſarum inuẽ-
            <lb/>
          tio.</note>
          <p>
            <s xml:id="echoid-s2532" xml:space="preserve">reperietur tam hypotenuſa C D, quam C E, in partibus differentiæ ſtationum
              <lb/>
            D E. </s>
            <s xml:id="echoid-s2533" xml:space="preserve"> Quapropter ſi iam fiat,</s>
          </p>
          <note symbol="c" position="right" xml:space="preserve">10. triang.
            <lb/>
          rectil.</note>
          <note style="it" position="right" xml:space="preserve">
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          Vt ſin{us} to- \\ t{us} anguli \\ vecti B, # ad hypotenu- \\ ſam C D, # Ita ſin{us} anguli B C D, complementi ma- \\ ioris anguli obſeruationis B D C, # ad D B,
            <lb/>
          # Vel # Vel
            <lb/>
          # ad hypotenuſam \\ C E, proximè \\ inuentam: # Ita ſin{us} anguli B C E, comple- \\ menti minoris anguli obſerua- \\ tionis E; # ad E B,
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          </note>
          <p>
            <s xml:id="echoid-s2534" xml:space="preserve">cognita erit vtraque altitudo D B, E B, &</s>
            <s xml:id="echoid-s2535" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2536" xml:space="preserve">Siautem fiat,</s>
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          <note position="right" xml:space="preserve">Altitudinis
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          inuentio per
            <unsure/>
            <lb/>
          ſolos ſin{us}.</note>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt ſin{us} tot{us} an- \\ guli recti B, # ad Hypotenuſam \\ C D, # Ita ſin{us} anguli D, maio- \\ ris obſeruati, # ad B C,
            <lb/>
          # Vel # Vel
            <lb/>
          # ad hypotenuſam C E, \\ nuper inuentam # Ita ſin{us} anguli E, mino- \\ ris obſeruati. # ad B C,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s2537" xml:space="preserve">c
              <unsure/>
            ognoſcetur quo que diſtantia B C, per ſolos ſinus,</s>
          </p>
          <note position="right" xml:space="preserve">4. A@s-</note>
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