Clavius, Christoph, Gnomonices libri octo, in quibus non solum horologiorum solariu[m], sed aliarum quo[quam] rerum, quae ex gnomonis umbra cognosci possunt, descriptiones geometricè demonstrantur

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            <s xml:id="echoid-s708" xml:space="preserve">
              <pb o="9" file="0029" n="29" rhead="LIBER PRIMVS."/>
            ſit, numeranda in cir cumferentia H I, à puncto H, verſus I, altitudo poli, nempe grad. </s>
            <s xml:id="echoid-s709" xml:space="preserve">42. </s>
            <s xml:id="echoid-s710" xml:space="preserve">quanta ferè
              <lb/>
            eſt Romæ. </s>
            <s xml:id="echoid-s711" xml:space="preserve">Hoc vt fiat, circino ſumemus ſemidiametrum G H, & </s>
            <s xml:id="echoid-s712" xml:space="preserve">ei in quadr ante aliquam accipiemus
              <lb/>
            æqualem, ad cuius interuallũ aliquis ex quadrantibus ex A, deſcriptus ſit, (ſi tamen eiuſmodi ſemidia-
              <lb/>
            meter inueniri queat.) </s>
            <s xml:id="echoid-s713" xml:space="preserve">qualis in dato exemplo eſt ſemidiameter A E, ad cuius interuallum quadrans E F,
              <lb/>
            deſcriptus eſt. </s>
            <s xml:id="echoid-s714" xml:space="preserve">Deinde in hoc quadrante E F, accipiemus circino arcum inter rectam A B, & </s>
            <s xml:id="echoid-s715" xml:space="preserve">rectam
              <lb/>
            A D, quæ per gradum 42. </s>
            <s xml:id="echoid-s716" xml:space="preserve">ducitur, poſitum, eum{q́ue}@ transferemus eodem circino ex H, in circumferen-
              <lb/>
            tiam H I, vſque ad I. </s>
            <s xml:id="echoid-s717" xml:space="preserve">Habebimus enim hac ratione altitudinem poli H I, quæſitam, nempe grad. </s>
            <s xml:id="echoid-s718" xml:space="preserve">42.
              <lb/>
            </s>
            <s xml:id="echoid-s719" xml:space="preserve">licet circulum H I, non diuiſerimus in ſuos gradus. </s>
            <s xml:id="echoid-s720" xml:space="preserve">Rurſus ſit in eodem circulo H I, ſupputanda incli-
              <lb/>
            na@io plani alicuius ad Horizontem, quæ contineat grad. </s>
            <s xml:id="echoid-s721" xml:space="preserve">15. </s>
            <s xml:id="echoid-s722" xml:space="preserve">Itaque ſi ſumatur circino in eodem quadran-
              <lb/>
            te E F, arcus poſitus inter A B, & </s>
            <s xml:id="echoid-s723" xml:space="preserve">rectam A O, quæ per grad. </s>
            <s xml:id="echoid-s724" xml:space="preserve">15. </s>
            <s xml:id="echoid-s725" xml:space="preserve">ducitur, transferatur{q́ue} in cir cumfe-
              <lb/>
              <note position="left" xlink:label="note-0029-01" xlink:href="note-0029-01a" xml:space="preserve">10</note>
            ren iam H I, ex H, vſque ad P, continebit arcus H P, grad. </s>
            <s xml:id="echoid-s726" xml:space="preserve">15. </s>
            <s xml:id="echoid-s727" xml:space="preserve">Atque it a beneficio quadrantis E F,
              <lb/>
            accipiemus in cir culo H I, quotcunque quis voluerit gradus.</s>
            <s xml:id="echoid-s728" xml:space="preserve"/>
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          <figure number="7">
            <image file="0029-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0029-01"/>
          </figure>
          <p style="it">
            <s xml:id="echoid-s729" xml:space="preserve">QVOD ſi fortè ſemidiametro G H, non inueniatur æqualis ſemidiameter in quadrante, vt ferè ſem
              <lb/>
              <note position="left" xlink:label="note-0029-02" xlink:href="note-0029-02a" xml:space="preserve">50</note>
            per accidit, ſumemus quamcunque ſemidiametrum libuerit, vt A K, ad cuius interuallum quadrans K L,
              <lb/>
            deſcriptus eſt, & </s>
            <s xml:id="echoid-s730" xml:space="preserve">ad interuallum ſumptæ ſemidiametri A K, arcum occultum deſcribemus M N, in
              <lb/>
            quem transferemus arcum M N, æqualem arcui quadr antis K L, qui inter A B, & </s>
            <s xml:id="echoid-s731" xml:space="preserve">lineam A D, du-
              <lb/>
            ctam per grad. </s>
            <s xml:id="echoid-s732" xml:space="preserve">42. </s>
            <s xml:id="echoid-s733" xml:space="preserve">interijcitur. </s>
            <s xml:id="echoid-s734" xml:space="preserve">Nam recta ducta G N, ſecabit circumferentiam H I, in I, continebit
              <lb/>
            arcus H I, grad. </s>
            <s xml:id="echoid-s735" xml:space="preserve">42. </s>
            <s xml:id="echoid-s736" xml:space="preserve">cum ex ijs, quæ in commentarijs in ſphæram ſcripſimus ad calcem ferè primi capi-
              <lb/>
            tis, arcus H I, M N, ſimiles ſint. </s>
            <s xml:id="echoid-s737" xml:space="preserve">Sic etiam ſi arcui eiuſdem quadrantis K L, poſito inter duas rectas,
              <lb/>
            quæ grad. </s>
            <s xml:id="echoid-s738" xml:space="preserve">15. </s>
            <s xml:id="echoid-s739" xml:space="preserve">comprehendunt, ſumamus æqualem M Q, auferet recta ducta G Q, ex circulo H I, arcum
              <lb/>
            H P, graduum 15. </s>
            <s xml:id="echoid-s740" xml:space="preserve">& </s>
            <s xml:id="echoid-s741" xml:space="preserve">ſic de cæteris.</s>
            <s xml:id="echoid-s742" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s743" xml:space="preserve">PRAETEREA ſi verbigratia, ad rectam G H, in puncto G, conſtituendus ſit angulus altitudi-
              <lb/>
            nis poli grad. </s>
            <s xml:id="echoid-s744" xml:space="preserve">42. </s>
            <s xml:id="echoid-s745" xml:space="preserve">Item angulus inclinationis alicuius plani ad Horizontem grad. </s>
            <s xml:id="echoid-s746" xml:space="preserve">15. </s>
            <s xml:id="echoid-s747" xml:space="preserve">vel angulus quot-
              <lb/>
            cunque graduum, etſinullus ibi deſeriptus ſit circulus, (Id quod non raro vſu venire ſolet) </s>
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