Clavius, Christoph, Geometria practica
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              <pb o="60" file="090" n="90" rhead="GEOMETR. PRACT."/>
            quando filum perpendiculi ex centro pendentis illi lateri adhærebit) & </s>
            <s xml:id="echoid-s2409" xml:space="preserve">dio-
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              <figure xlink:label="fig-090-01" xlink:href="fig-090-01a" number="25">
                <image file="090-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/090-01"/>
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            ptra attollatur, donec per pinnacidio-
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            rum foramina ſignum L, cerni poſsit.
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            </s>
            <s xml:id="echoid-s2410" xml:space="preserve">Nam arcus inter dictum latus, & </s>
            <s xml:id="echoid-s2411" xml:space="preserve">lineam
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            fiduciæ in dioptra angulum obſeruatio-
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            nis meti@tur. </s>
            <s xml:id="echoid-s2412" xml:space="preserve">Intelligatur quoque filum
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            perpendiculi in vtro que ſitu Quadrantis
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            penduli, vel latus quandrantis ſtabilis ad
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            Horizontem rectum productum vſque
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            ad baſem montis, aut turris ad M, N. </s>
            <s xml:id="echoid-s2413" xml:space="preserve">Sũ-
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            ptis deinde rectis æqualibus K O, I P, pro
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            ſinubus totis, ducantur P Q, O R, ad IN,
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              <note symbol="a" position="left" xlink:label="note-090-01" xlink:href="note-090-01a" xml:space="preserve">28. primi.</note>
            KM, perpendiculares, quæ parallelæ e- runt plano Horizontis, hoc eſt, rectę NL;
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            </s>
            <s xml:id="echoid-s2414" xml:space="preserve">& </s>
            <s xml:id="echoid-s2415" xml:space="preserve">Tangentes angulorũ obſeruationum
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            I, K Ipſæ autem HN, GM, altitudini
              <note symbol="b" position="left" xlink:label="note-090-02" xlink:href="note-090-02a" xml:space="preserve">34. primi.</note>
            æquales erunt. </s>
            <s xml:id="echoid-s2416" xml:space="preserve">Et quoniam in triangulis
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            I N L, K M L, anguli recti N, M, ſunt æ-
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            quales, & </s>
            <s xml:id="echoid-s2417" xml:space="preserve">ILN, minor quam KLM, pars
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            toto; </s>
            <s xml:id="echoid-s2418" xml:space="preserve">eritreliquus N I L, reliquo MKL, maior, ideo que & </s>
            <s xml:id="echoid-s2419" xml:space="preserve">Tangens P Q, Tan-
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              <note symbol="c" position="left" xlink:label="note-090-03" xlink:href="note-090-03a" xml:space="preserve">4. ſexti.</note>
            gente O R, maior. </s>
            <s xml:id="echoid-s2420" xml:space="preserve">Abſciſſa ergo P T, ipſi O R, æquali; </s>
            <s xml:id="echoid-s2421" xml:space="preserve"> quia eſt vt IP, ſinus totus ad P Q, Tangentem maioris anguli obſeruationis, ita IN, ad NL: </s>
            <s xml:id="echoid-s2422" xml:space="preserve">erit per-
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            mutando, vt IP, ad IN, ita P Q, ad NL. </s>
            <s xml:id="echoid-s2423" xml:space="preserve">Eademque ratione erit, vt K O, ad KM,
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            hoc eſt, vt IP, ad IN, (cum K O, KM, ipſis IP, IN, ſint æquales) ita OR, hoc
              <note symbol="d" position="left" xlink:label="note-090-04" xlink:href="note-090-04a" xml:space="preserve">34. primi.</note>
            ita PT, ad ML; </s>
            <s xml:id="echoid-s2424" xml:space="preserve">at que ideo erit, vt PQ, ad NL, ita PT, ad ML. </s>
            <s xml:id="echoid-s2425" xml:space="preserve">Quia ergo eſt, vt
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            tota P Q, ad totam N L, ita P T, ablata ad M L, ablatam, erit quo que
              <note symbol="e" position="left" xlink:label="note-090-05" xlink:href="note-090-05a" xml:space="preserve">19. quinti.</note>
            T Q, differentia Tangentium, adreliquam NM, differentiam ſtationum,
              <note symbol="f" position="left" xlink:label="note-090-06" xlink:href="note-090-06a" xml:space="preserve">34. primi.</note>
            NM, HG, æquales ſint.) </s>
            <s xml:id="echoid-s2426" xml:space="preserve">vttota P Q, ad totam NL, hoc eſt, vt IP, ad IN. </s>
            <s xml:id="echoid-s2427" xml:space="preserve">
              <note symbol="g" position="left" xlink:label="note-090-07" xlink:href="note-090-07a" xml:space="preserve">4. ſexti.</note>
            obrem ſi fiat.</s>
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          <note style="it" position="right" xml:space="preserve">
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          Vt T Q, differentia \\ inter Tangentes an- \\ gulorum obſeruationum # ad N M, vel H G, diffe- \\ rentiam ſtationum: # ita ſin{us} to- \\ t{us} I P, # ad IN,
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            <s xml:id="echoid-s2429" xml:space="preserve">reperietur recta I N, ex qua ſi dematur I H, ſtatura menſoris, nota relinquetur
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              <note position="left" xlink:label="note-090-09" xlink:href="note-090-09a" xml:space="preserve">Altitudinis
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              inuentio.</note>
            HN, vel EF, altitudo quæſita. </s>
            <s xml:id="echoid-s2430" xml:space="preserve">Et ſi rurſus fiat,</s>
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          Vt T Q, differen- \\ tia Tangentium # ad N M, vel G H, differen- \\ tiam ſtationum: # ita P Q, Tan- \\ gens maior # ad NL, di- ſtantiam.
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            <s xml:id="echoid-s2431" xml:space="preserve">nota fiet diſtantia NL; </s>
            <s xml:id="echoid-s2432" xml:space="preserve">à qua ſi ſubtrahatur NF, vel HE, quam metiri licebit, co-
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              <note position="left" xlink:label="note-090-11" xlink:href="note-090-11a" xml:space="preserve">Diſtantiæ in-
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              uentio.</note>
            gnita relinquetur FL, diſtantia à perpendiculo montis. </s>
            <s xml:id="echoid-s2433" xml:space="preserve">Vel ſi dematur NM, dif-
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            ferentia ſtationum, nota relinquetur diſtantia ML, à turri vſque ad L. </s>
            <s xml:id="echoid-s2434" xml:space="preserve">Item fiat.</s>
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          <note symbol="h" position="left" xml:space="preserve">4. ſexti.</note>
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          Vt IP, ſin{us} \\ tot{us} # ad P Q. Tangen- \\ tem maiorem: # ita IN, paulo ante \\ inuenta # ad NL, diſtantiam,
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          </note>
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            <s xml:id="echoid-s2436" xml:space="preserve">inuenietur rurſus diſtantia NL, & </s>
            <s xml:id="echoid-s2437" xml:space="preserve">c.</s>
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            <s xml:id="echoid-s2439" xml:space="preserve">2. </s>
            <s xml:id="echoid-s2440" xml:space="preserve">
              <emph style="sc">Vervm</emph>
            ita eſſe T Q. </s>
            <s xml:id="echoid-s2441" xml:space="preserve">differentiam Tangentium ad NM, vel H G, </s>
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