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-s25774" xml:space="preserve">
              <pb o="390" file="0406" n="406" rhead="GNOMONICES"/>
            tem, (ſumimus autem hic eadem plana cum eiſdem inclinationibus, declinationibus{q́ue}, quę prius) ini-
              <lb/>
            tio facto a recta A B, deorſum uerſus, ducatur per finem numer ationis ex β, recta β D, ſecans C D, in
              <lb/>
            D, puncto, per quod meridia-
              <lb/>
            na linea ducenda erit. </s>
            <s xml:id="echoid-s25775" xml:space="preserve">Suppu
              <lb/>
            tato quoque in eodẽ arcu ſur-
              <lb/>
              <figure xlink:label="fig-0406-01" xlink:href="fig-0406-01a" number="265">
                <image file="0406-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0406-01"/>
                <caption xml:id="echoid-caption1" xml:space="preserve">1. figura</caption>
              </figure>
            </s>
            <s xml:id="echoid-s25776" xml:space="preserve">ſum uerſus complemento in- clinationis, ducatur ex β, per finẽ ſupputationis recta β C, quæ perpendicularis erit ad β D, ſecans C D, in C,
              <note position="left" xlink:label="note-0406-01" xlink:href="note-0406-01a" xml:space="preserve">10</note>
            cto, per quod recta C E, du- cta ad C D, perpendicularis erit linea horizontalis.</s>
            <s xml:id="echoid-s25777" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Linea horiz
            <unsure/>
          on
            <lb/>
          talis.</note>
          <p style="it">
            <s xml:id="echoid-s25778" xml:space="preserve">DEINDE in recta C D,
              <lb/>
            ipſi C β, ſumpta æquali C F,
              <lb/>
            ſiue ſurſum uerſus, ſiue deor-
              <lb/>
            ſum, deſcribatur ex F, verſus
              <lb/>
            C E, arcus circuli, in quo nu-
              <lb/>
            merata à recta C D, declina
              <lb/>
            tione plani à Verticali circu-
              <lb/>
              <note position="left" xlink:label="note-0406-03" xlink:href="note-0406-03a" xml:space="preserve">20</note>
            lo ad dexteram quidem, ſi pla
              <lb/>
            num a meridie in ortum, uel
              <lb/>
            a Septẽtrione in occaſum
              <unsure/>
            de-
              <lb/>
            flectit, ut in prima, tertia, & </s>
            <s xml:id="echoid-s25779" xml:space="preserve">
              <lb/>
            quarta figura, ad ſiniſtram au
              <lb/>
            tem, ſi planum declinat à me
              <lb/>
            ridie in occaſum, uel a ſepten
              <lb/>
            trione in ortum, ut in ſecun-
              <lb/>
            da, quinta, & </s>
            <s xml:id="echoid-s25780" xml:space="preserve">ſexta figura, du
              <lb/>
            catur ex F, per finem numera
              <lb/>
            tionis recta F E, ſecans ho-
              <lb/>
              <note position="left" xlink:label="note-0406-04" xlink:href="note-0406-04a" xml:space="preserve">30</note>
            rizontalem lineam C E, in E. </s>
            <s xml:id="echoid-s25781" xml:space="preserve">Nam recta D E, per D, & </s>
            <s xml:id="echoid-s25782" xml:space="preserve">E, in utramq; </s>
            <s xml:id="echoid-s25783" xml:space="preserve">partem eiecta dabit lineam me-
              <lb/>
            ridianam. </s>
            <s xml:id="echoid-s25784" xml:space="preserve">Supputato quoq; </s>
            <s xml:id="echoid-s25785" xml:space="preserve">in eodem arcu a recta C D, in contrariam partem complemento declinationis
              <lb/>
              <note position="left" xlink:label="note-0406-05" xlink:href="note-0406-05a" xml:space="preserve">Linea meridia-
                <lb/>
              na.</note>
            ducatur ex F, per finem ſupputationis recta F α, quę ad F E, perpendicularis erit, ſecans lineam horizon
              <lb/>
            talem in puncto α, per quod linea æquinoctialis, & </s>
            <s xml:id="echoid-s25786" xml:space="preserve">linea horę 6. </s>
            <s xml:id="echoid-s25787" xml:space="preserve">ducenda est.</s>
            <s xml:id="echoid-s25788" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s25789" xml:space="preserve">RVRSVS ducta recta α K, quæ neceſſario ad meridianam lineam D E, perpendicularis erit ſi er-
              <lb/>
            ratum non fuerit, deſcribantur ex D, & </s>
            <s xml:id="echoid-s25790" xml:space="preserve">E, duo arcus ad interualla recta
              <unsure/>
            rum D β, E F, ſecantes ſeſe
              <lb/>
            neceſſario, ſi erratum non eſt, in recta α K, ut in puncto H; </s>
            <s xml:id="echoid-s25791" xml:space="preserve">ſiue autem hocfiat ex parte dextra, ſiue
              <lb/>
            ex ſiniſtra, nihil intereſt. </s>
            <s xml:id="echoid-s25792" xml:space="preserve">Ex quo fit, neceſſarium non eſſe, ut recta α K, ducatur, ſed utile tantum, ut
              <lb/>
            nimirũ accuratior fiat deſcriptio. </s>
            <s xml:id="echoid-s25793" xml:space="preserve">ſi enim nõ tranſiret per punctũ H, inuentũ, corrigendus eſſet error com
              <lb/>
            miſſus. </s>
            <s xml:id="echoid-s25794" xml:space="preserve">Sic etiã ducta recta α K, ſatis eſſet, ſi uel ex D, deſcriberetur arcus ad interuallũ D β, duntaxat,
              <lb/>
              <note position="left" xlink:label="note-0406-06" xlink:href="note-0406-06a" xml:space="preserve">40</note>
            uel (ſi cõmodius uiſum fuerit) arcus ex E, ad interuallum E F. </s>
            <s xml:id="echoid-s25795" xml:space="preserve">Nam ubi alter horum arcuũ rectam α K,
              <lb/>
            ſecat, ibi erit punctũ H, ut prius. </s>
            <s xml:id="echoid-s25796" xml:space="preserve">Ducta quoque recta H E, deſcribatur ex H, arcus circuli in quo a recta
              <lb/>
            H E, uerſus rectam H D, numeretur complementum altitudinis poli ſuper Horizontem, ſi planum ho-
              <lb/>
            rologij a meridie declinat, & </s>
            <s xml:id="echoid-s25797" xml:space="preserve">per finẽ numerationis ex H, ducatur recta Hb, ſecans meridianam lineam in
              <lb/>
            M, puncto, per quod æquinoctialis linea ducenda eſt ex puncto α, iampridẽ inuento. </s>
            <s xml:id="echoid-s25798" xml:space="preserve">Et ſi in eodem arcu in
              <lb/>
              <note position="left" xlink:label="note-0406-07" xlink:href="note-0406-07a" xml:space="preserve">Linea æquino-
                <lb/>
              ctialis.</note>
            cõtrariã partẽ a recta H E, numeretur altitudo poli, et ex fine numer ationis per H, recta Hd, ducatur, quę
              <lb/>
            ad H b, perpẽdicularis erit, ſecabitur eadẽ linea meridiana in puncto ρ, quod centrũ erit horologij. </s>
            <s xml:id="echoid-s25799" xml:space="preserve">Quod
              <lb/>
              <note position="left" xlink:label="note-0406-08" xlink:href="note-0406-08a" xml:space="preserve">Centrum horo
                <lb/>
              logii.</note>
            ſi quãdo accidat, rectã hãc H d, ultimo loco per H, ductã parallelam eſſe lineæ meridianæ, ut contingit in
              <lb/>
            tertia figura, ubi prior recta H b, trãſit per locũ ſtyli K, & </s>
            <s xml:id="echoid-s25800" xml:space="preserve">per punctũ α, ita ut a recta α K, non differat,
              <lb/>
            carebit horologium centro, omneſ{q́ue} horariæ lineæ inter ſe æquidiſtãtes erit. </s>
            <s xml:id="echoid-s25801" xml:space="preserve">Si uero horologij planum decli
              <lb/>
              <note position="left" xlink:label="note-0406-09" xlink:href="note-0406-09a" xml:space="preserve">50</note>
            net a Septẽtrione, numerãda erit altitudo poli in dicto ar cu circuli a recta H E, uerſus rectã H D. </s>
            <s xml:id="echoid-s25802" xml:space="preserve">Recta
              <lb/>
            enim H b, ducta ex H, per finẽ numer ationis ſecabit meridianã lineã in ρ, cẽtro horologij: </s>
            <s xml:id="echoid-s25803" xml:space="preserve">Et ſi in eodẽ ar
              <lb/>
            cuin cõtrariã partem a recta H E, ſupputetur cõplementũ altitudinis poli, atq; </s>
            <s xml:id="echoid-s25804" xml:space="preserve">ex fine numer ationis per
              <lb/>
            H, traiiciatur recta Hd, quæ ad H b, perpẽdicularis erit, ſecabitur linea meridiana in puncto M, per quod
              <lb/>
            linea æquinoctialis ex α, ducenda eſt. </s>
            <s xml:id="echoid-s25805" xml:space="preserve">Quod ſi quando contingat, hanc rectam H d, ultimo loco ductam pa-
              <lb/>
            rallelam eſſe meridianæ lineæ, ut in figura ſexta apparet, ubi prior recta H b, tranſit per K, locum styli,
              <lb/>
            adeo ut a recta α K, non differat, ducenda erit linea æquinoctialis per α, ipſi lineæ meridianæ parallela.</s>
            <s xml:id="echoid-s25806" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s25807" xml:space="preserve">IAM uero ſi ex ρ, centro horologij per k, locum styli recta ducatur ρ K, habebimus lineam ſtyli,
              <lb/>
              <note position="left" xlink:label="note-0406-10" xlink:href="note-0406-10a" xml:space="preserve">Linea ſtyli.</note>
            quæ neceſſario lineam æquinoctialem ex α, ductam ad angulos rectos ſecabit. </s>
            <s xml:id="echoid-s25808" xml:space="preserve">Sed ubi centrum horologii
              <lb/>
            non habetur, ducenda erit linea ſtyli per K, locum ſtyli parallela lineæ meridianæ, & </s>
            <s xml:id="echoid-s25809" xml:space="preserve">ad </s>
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