Clavius, Christoph, Geometria practica

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          <p>
            <s xml:id="echoid-s4599" xml:space="preserve">
              <pb o="118" file="148" n="148" rhead="GEOMETR. PRACT."/>
            mus per vnicam ſtationem quo que efficere, & </s>
            <s xml:id="echoid-s4600" xml:space="preserve">ſimul diſtantiam à perpendiculo
              <lb/>
            montis, vel à turre vſque ad ſignum in Horizonte propoſitum inuenire.</s>
            <s xml:id="echoid-s4601" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4602" xml:space="preserve">
              <emph style="sc">Sit</emph>
            enim montis alicuius, aut turris
              <lb/>
              <note position="left" xlink:label="note-148-01" xlink:href="note-148-01a" xml:space="preserve">Altitudinem
                <lb/>
              montis, vel
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              turris ex eius
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              vertice per v-
                <lb/>
              nicam ſtatio-
                <lb/>
              nem, vna cũ
                <lb/>
              d ſtãtia à tur-
                <lb/>
              re, vel perpen-
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              diculo mo@tis
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              ad ſignum in
                <lb/>
              Horizonte
                <lb/>
              propoſitum
                <lb/>
              metiri.</note>
              <figure xlink:label="fig-148-01" xlink:href="fig-148-01a" number="76">
                <image file="148-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/148-01"/>
              </figure>
            altitudo D E, & </s>
            <s xml:id="echoid-s4603" xml:space="preserve">ſignum in Horizonte vi-
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            ſum F. </s>
            <s xml:id="echoid-s4604" xml:space="preserve">Erigatur ex D, haſta aliqua D A, & </s>
            <s xml:id="echoid-s4605" xml:space="preserve">
              <lb/>
            ſumpta D A, æquali lateri quadrati ſtabi-
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            lis, accommodetur quadratum a b c d, in
              <lb/>
            A, ita vt centrum dio ptræ a, ſit ſuperius, & </s>
            <s xml:id="echoid-s4606" xml:space="preserve">
              <lb/>
            latus inferius recta ad ſignum F, vergat.
              <lb/>
            </s>
            <s xml:id="echoid-s4607" xml:space="preserve">Poſito deinde oculo in a, dirigatur dio-
              <lb/>
            ptra verſus F, notentur que partes in vm-
              <lb/>
            bra verſa b e. </s>
            <s xml:id="echoid-s4608" xml:space="preserve">Nam ſi fiat,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt be, vmbra verſa # ad latus b a, 1000. # Ita latus a d, 1000. # ad A F,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s4609" xml:space="preserve">reperietur hypotenuſa A F, in partibus lateris a d. </s>
            <s xml:id="echoid-s4610" xml:space="preserve">Accommo detur rurſus qua-
              <lb/>
            dratum A B C D, vt centrum dioptræ A, ſit ſuperius, & </s>
            <s xml:id="echoid-s4611" xml:space="preserve">latus C D, Horizontiæ-
              <lb/>
            quidiſtet, hoc eſt, latus AD, haſtæ ere ctæ congruat. </s>
            <s xml:id="echoid-s4612" xml:space="preserve">Quo poſito, videbitur ſignũ
              <lb/>
            F, per inuentam hypotenuſam A F, quæ primum ſecet latus vmbræ verſæ B C,
              <lb/>
            in G; </s>
            <s xml:id="echoid-s4613" xml:space="preserve">in quiratur que portio dio ptræ A G, vt in ſchol. </s>
            <s xml:id="echoid-s4614" xml:space="preserve">problem. </s>
            <s xml:id="echoid-s4615" xml:space="preserve">7. </s>
            <s xml:id="echoid-s4616" xml:space="preserve">Num. </s>
            <s xml:id="echoid-s4617" xml:space="preserve">2. </s>
            <s xml:id="echoid-s4618" xml:space="preserve">docui-
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            mus. </s>
            <s xml:id="echoid-s4619" xml:space="preserve"> Nam ſi fiat,</s>
          </p>
          <note symbol="a" position="left" xml:space="preserve">4. ſexti. &
            <lb/>
          componendo.</note>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt portio dioptræ \\ A G, inuenta # adinuentam hy- \\ potenuſam A F, # Ita A L, vmbræ verſæ B G, æ- \\ qualis (ducta G L, paralle- \\ la ipſi E F,) # ad A E,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s4620" xml:space="preserve">comperta erit AE, in partibus hypotenuſæ AF. </s>
            <s xml:id="echoid-s4621" xml:space="preserve">Et ſi dematur latus quadrati A D,
              <lb/>
            in ijſdem partibus notum, reliqua fiet D E, altitudo montis, aut turris. </s>
            <s xml:id="echoid-s4622" xml:space="preserve">Quòd ſi
              <lb/>
            rurſus fiat,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt portio dioptræ \\ AG, inuenta # ad inuentam hy- \\ potenuſam AF, # Ita E M, (producta BC, vſ- \\ que ad M,) lateri CD, æqua- \\ lis, # ad EF,
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s4623" xml:space="preserve">exibit nota diſtantia EF, in ijſdem partibus hypotenuſæ A F.</s>
            <s xml:id="echoid-s4624" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4625" xml:space="preserve">
              <emph style="sc">Vbi</emph>
            vides eadem opera inueniri diſtantiam ab oculo A, vſque ad ſignum F,
              <lb/>
            in Horizonte.</s>
            <s xml:id="echoid-s4626" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4627" xml:space="preserve">
              <emph style="sc">Non</emph>
            erit autem difficile ipſam DE, vel EF, ſi inuenta fuerit in partibus mil-
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            leſimis lateris AD, vel CD, in alia menſura, vt in pedibus, efficere notam; </s>
            <s xml:id="echoid-s4628" xml:space="preserve">ſi fiat,</s>
          </p>
          <note style="it" position="right" xml:space="preserve">
            <lb/>
          Vt AD, la- \\ tus 1000. # ad AD, notam in pedibus, ver- \\ bigratia in 3. vel in ſe miſſe \\ vnius cubiti: # Ita D E, vel E F, in- \\ uenta in milleſimis \\ partibus, # ad aliud
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s4629" xml:space="preserve">Atque hac eadem ratione omnes aliæ lineæ inuentæ in milleſimis partibus late-
              <lb/>
            ris quadrati, reducentur ad aliam menſuram vel pedum, vel cubitorum, & </s>
            <s xml:id="echoid-s4630" xml:space="preserve">c.
              <lb/>
            </s>
            <s xml:id="echoid-s4631" xml:space="preserve">Quod etiam in ſcholio problem. </s>
            <s xml:id="echoid-s4632" xml:space="preserve">7. </s>
            <s xml:id="echoid-s4633" xml:space="preserve">monuimus.</s>
            <s xml:id="echoid-s4634" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4635" xml:space="preserve">2. </s>
            <s xml:id="echoid-s4636" xml:space="preserve">
              <emph style="sc">Secet</emph>
            deinde hypotenuſa AI, (quæ reperietur vt AF, inuenta eſt) </s>
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