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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              <pb o="216" file="0236" n="236" rhead="GNOMONICES"/>
            A B, verſus rectam D C, æqualis complemento altitudinis poli ſupra Horizontem, & </s>
            <s xml:id="echoid-s14756" xml:space="preserve">per B, duca-
              <lb/>
            tur recta H B, ſecans æquinoctialem lineam D C, in I. </s>
            <s xml:id="echoid-s14757" xml:space="preserve">Erit triangulum D H I, omnino æquàle triã
              <lb/>
            gulo D H I, præfatæ portionis Analemmatis, vel triangulo horologij ſine portione Analemmatis
              <lb/>
            deſcripti, & </s>
            <s xml:id="echoid-s14758" xml:space="preserve">H I, æqualis lineæ meridianæ H I, eiuſdem portionis Analemmatis, vel dicti triangu-
              <lb/>
              <figure xlink:label="fig-0236-01" xlink:href="fig-0236-01a" number="164">
                <image file="0236-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0236-01"/>
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            li, vt ex vtraque conſtructio-
              <lb/>
            ne huius trianguli in hac ſigu
              <lb/>
            ra conſtat. </s>
            <s xml:id="echoid-s14759" xml:space="preserve">Ex priori enim cõ
              <lb/>
            ſtructione, ſunt duo latera
              <lb/>
            D H, D I, huius triãguli duo-
              <lb/>
            bus lateribus D H, D I, illius
              <lb/>
              <note position="left" xlink:label="note-0236-01" xlink:href="note-0236-01a" xml:space="preserve">10</note>
            æqualia, angulosq́ continent
              <lb/>
            æquales, vtpote rectos. </s>
            <s xml:id="echoid-s14760" xml:space="preserve">Igitur
              <lb/>
            tota triangula æqualia ſunt.
              <lb/>
            </s>
            <s xml:id="echoid-s14761" xml:space="preserve">Ex conſtructione vero poſte-
              <lb/>
              <note position="left" xlink:label="note-0236-02" xlink:href="note-0236-02a" xml:space="preserve">4. primi.</note>
            riori, ſunt duo anguli H D I,
              <lb/>
            D H I, vnius trianguli duo-
              <lb/>
            bus angulis H D I, D H I, alte-
              <lb/>
            rius trianguli æquales, (quòd
              <lb/>
            in vtroque triangulo prior an
              <lb/>
            gulus rectus ſit, & </s>
            <s xml:id="echoid-s14762" xml:space="preserve">poſterior
              <lb/>
              <note position="left" xlink:label="note-0236-03" xlink:href="note-0236-03a" xml:space="preserve">20</note>
            complemento altitudinis po-
              <lb/>
            li æqualis) eſtq́ue latus D H,
              <lb/>
            vnius lateri DH, alterius equa
              <lb/>
            le. </s>
            <s xml:id="echoid-s14763" xml:space="preserve">Igitur & </s>
            <s xml:id="echoid-s14764" xml:space="preserve">latera D I, H I,
              <lb/>
            vnius æqualia ſunt lateribus
              <lb/>
              <note position="left" xlink:label="note-0236-04" xlink:href="note-0236-04a" xml:space="preserve">26. primi.</note>
            D I, H I, alterius, &</s>
            <s xml:id="echoid-s14765" xml:space="preserve">c. </s>
            <s xml:id="echoid-s14766" xml:space="preserve">Ex cẽtro
              <lb/>
            deinde E, Aequatoris in ho-
              <lb/>
            rologio, ex quo videlicet cir-
              <lb/>
            culus fuit deſcriptus, diui-
              <lb/>
            ſusq́; </s>
            <s xml:id="echoid-s14767" xml:space="preserve">in partes 24. </s>
            <s xml:id="echoid-s14768" xml:space="preserve">&</s>
            <s xml:id="echoid-s14769" xml:space="preserve">c. </s>
            <s xml:id="echoid-s14770" xml:space="preserve">tranſ-
              <lb/>
              <note position="left" xlink:label="note-0236-05" xlink:href="note-0236-05a" xml:space="preserve">30</note>
            ferantur omnia interualla in-
              <lb/>
            ter centrum E, & </s>
            <s xml:id="echoid-s14771" xml:space="preserve">lineas hora
              <lb/>
            rias in linea æquinoctiali F K, poſita in lineam D C, huius figuræ, quam nunc conſtruimus, à pun
              <lb/>
            cto D; </s>
            <s xml:id="echoid-s14772" xml:space="preserve">Nempe interuallo E F, vel E K, in horologio præcedẽti propoſ. </s>
            <s xml:id="echoid-s14773" xml:space="preserve">deſcripto (quę æqualia ſunt,
              <lb/>
            quemadmodum & </s>
            <s xml:id="echoid-s14774" xml:space="preserve">quęcunque interualla inter E, & </s>
            <s xml:id="echoid-s14775" xml:space="preserve">binas horas æquali temporis ſpatio à meridia
              <lb/>
            na linea diſtantes, vt conſtat ex ſcholio præcedentis propoſ.) </s>
            <s xml:id="echoid-s14776" xml:space="preserve">æqualis ſit recta D C, & </s>
            <s xml:id="echoid-s14777" xml:space="preserve">interuallo
              <lb/>
            E R, vel E S, æqualis ſit recta D T, &</s>
            <s xml:id="echoid-s14778" xml:space="preserve">c. </s>
            <s xml:id="echoid-s14779" xml:space="preserve">Per puncta autem C, T, & </s>
            <s xml:id="echoid-s14780" xml:space="preserve">reliqua in linea D C, inuenta, ex
              <lb/>
            H, emittantur rectæ, quibus aſcribantur numeri horarum reſpondentes aſſumptis interuallis, ita
              <lb/>
            vt recta H C, ſit linea ſeptimæ horæ poſt mediam noctem, & </s>
            <s xml:id="echoid-s14781" xml:space="preserve">quintæ poſt meridiem; </s>
            <s xml:id="echoid-s14782" xml:space="preserve">H T, horæ
              <lb/>
            octauæ poſt mediam noctem, & </s>
            <s xml:id="echoid-s14783" xml:space="preserve">quartæ poſt meridiem, &</s>
            <s xml:id="echoid-s14784" xml:space="preserve">c.</s>
            <s xml:id="echoid-s14785" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">40</note>
          <p>
            <s xml:id="echoid-s14786" xml:space="preserve">HAS autem eaſdem lineas horarias ex H, emiſſas ducemus quoque, ſi interualla horarum in
              <lb/>
            horologio inter centrum H, & </s>
            <s xml:id="echoid-s14787" xml:space="preserve">æquinoctialem lineam transferamus in radium Æquatoris huius
              <lb/>
            figuræ ex H. </s>
            <s xml:id="echoid-s14788" xml:space="preserve">Inueniemus enim hac ratione in radio Æquatoris eadem puncta, quæ prius, per
              <lb/>
            quæ horariæ lineæ ex H, emiſſæ ſunt, vt propoſ. </s>
            <s xml:id="echoid-s14789" xml:space="preserve">2. </s>
            <s xml:id="echoid-s14790" xml:space="preserve">huius libri de horologio horizontali de-
              <lb/>
            monſtrauimus.</s>
            <s xml:id="echoid-s14791" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s14792" xml:space="preserve">PRO hora autem ſexta à mer, vel med. </s>
            <s xml:id="echoid-s14793" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s14794" xml:space="preserve">ducatur ex H, ipſi D C, parallela H V. </s>
            <s xml:id="echoid-s14795" xml:space="preserve">Et pro ho-
              <lb/>
            ra quinta poſt mediam noctem, & </s>
            <s xml:id="echoid-s14796" xml:space="preserve">ſeptimam poſt meridiem, ducatur H X, angulum V H X, æqua-
              <lb/>
            lem faciens angulo V H C. </s>
            <s xml:id="echoid-s14797" xml:space="preserve">Simili modo pro hora quarta poſt mediam noctem, & </s>
            <s xml:id="echoid-s14798" xml:space="preserve">octaua poſt
              <lb/>
            meridiem, ducatur H Y, faciens angulum V H Y, angulo V H T, æqualem, & </s>
            <s xml:id="echoid-s14799" xml:space="preserve">ſic de cęteris.
              <lb/>
            </s>
            <s xml:id="echoid-s14800" xml:space="preserve">Quod facile fiet, ſi ex H, arcus circuli deſcribatur. </s>
            <s xml:id="echoid-s14801" xml:space="preserve">Nam ſi circunſerentiæ huius arcus inter-
              <lb/>
              <note position="left" xlink:label="note-0236-07" xlink:href="note-0236-07a" xml:space="preserve">50</note>
            ceptæ inter H V, & </s>
            <s xml:id="echoid-s14802" xml:space="preserve">rectas ex H, ad ſiniſtram ipſius H V, eductas, (quæ nimirum rectam D C, ſe-
              <lb/>
            cant) transferantur ad dexteram eiuſdem H V, in dictum arcum, &</s>
            <s xml:id="echoid-s14803" xml:space="preserve">c. </s>
            <s xml:id="echoid-s14804" xml:space="preserve">vt in horologio horizon-
              <lb/>
            tali diximus.</s>
            <s xml:id="echoid-s14805" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s14806" xml:space="preserve">POST hæc ex puncto D, ducantur radij ſignorum, vt in horologio horizontali dictum eft,
              <lb/>
            propoſ. </s>
            <s xml:id="echoid-s14807" xml:space="preserve">2. </s>
            <s xml:id="echoid-s14808" xml:space="preserve">huius libri.</s>
            <s xml:id="echoid-s14809" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s14810" xml:space="preserve">EX hac ergo figura non ſecus ac in horologio horizontali arcus ſignorum deſcribemus; </s>
            <s xml:id="echoid-s14811" xml:space="preserve">tranſ-
              <lb/>
            ferendo ſcilicet interualla horaria huius figuræ intercepta inter H, & </s>
            <s xml:id="echoid-s14812" xml:space="preserve">radios ſignorum, in horas
              <lb/>
            horologij ex centro H, &</s>
            <s xml:id="echoid-s14813" xml:space="preserve">c. </s>
            <s xml:id="echoid-s14814" xml:space="preserve">Qua de re vide ea, quæ propoſ. </s>
            <s xml:id="echoid-s14815" xml:space="preserve">2. </s>
            <s xml:id="echoid-s14816" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s14817" xml:space="preserve">ſcripſimus.</s>
            <s xml:id="echoid-s14818" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s14819" xml:space="preserve">IN deſcriptione arcuum ſignorum in boreali horologio mutantur radii ſignorum auſtralium
              <lb/>
            in radios borealium, & </s>
            <s xml:id="echoid-s14820" xml:space="preserve">contra. </s>
            <s xml:id="echoid-s14821" xml:space="preserve">Vt ex radio ♑, fit radius ♋, ex ♐, fit ♊, &</s>
            <s xml:id="echoid-s14822" xml:space="preserve">c. </s>
            <s xml:id="echoid-s14823" xml:space="preserve">Quod etiam de radijs
              <lb/>
            arcuum diurnorum, de quibus in propoſ. </s>
            <s xml:id="echoid-s14824" xml:space="preserve">ſequenti dicemus, intelligendum eſt. </s>
            <s xml:id="echoid-s14825" xml:space="preserve">Quoniam </s>
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