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-s21078" xml:space="preserve">
              <pb o="313" file="0329" n="329" rhead="LIBER TERTIVS."/>
            tur C G; </s>
            <s xml:id="echoid-s21079" xml:space="preserve">quam commodius fortaſſe ducemus, ſi ex C, ducamus rectam C G, facientem cum C I,
              <lb/>
            angulum G C I, æqualem angulo G C I, quem in horologio cõſtituunt axis C I, & </s>
            <s xml:id="echoid-s21080" xml:space="preserve">linea ſtyli C G,
              <lb/>
            hoc eſt, angulo altitudinis poli ſupra planum declinans. </s>
            <s xml:id="echoid-s21081" xml:space="preserve">Erit triangulum hoc G C I, æquale om-
              <lb/>
              <figure xlink:label="fig-0329-01" xlink:href="fig-0329-01a" number="222">
                <image file="0329-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0329-01"/>
              </figure>
              <note position="left" xlink:label="note-0329-01" xlink:href="note-0329-01a" xml:space="preserve">10</note>
              <note position="left" xlink:label="note-0329-02" xlink:href="note-0329-02a" xml:space="preserve">20</note>
              <note position="left" xlink:label="note-0329-03" xlink:href="note-0329-03a" xml:space="preserve">30</note>
            nino triangulo G C I, in horologio declinante præcedentis propoſ. </s>
            <s xml:id="echoid-s21082" xml:space="preserve">atque adeo recta C G, linea
              <lb/>
            indicis erit. </s>
            <s xml:id="echoid-s21083" xml:space="preserve">Nam ſecundum priorem conſtructionem, duo latera I C, I G, vnius trianguli æqualia
              <lb/>
              <note position="left" xlink:label="note-0329-04" xlink:href="note-0329-04a" xml:space="preserve">40</note>
            ſunt duobus lateribus I C, I G, alterius trianguli, angulosq́ue continent æquales. </s>
            <s xml:id="echoid-s21084" xml:space="preserve">Igitur tota trian-
              <lb/>
              <note position="right" xlink:label="note-0329-05" xlink:href="note-0329-05a" xml:space="preserve">4. primi.</note>
            gula æqualia ſunt, &</s>
            <s xml:id="echoid-s21085" xml:space="preserve">c. </s>
            <s xml:id="echoid-s21086" xml:space="preserve">Secundum poſteriorem autem conſtructionem, duo anguli I, C, vnius trian
              <lb/>
            guli æquales ſunt duobus angulis I, C, alterius trianguli. </s>
            <s xml:id="echoid-s21087" xml:space="preserve">Cum ergo & </s>
            <s xml:id="echoid-s21088" xml:space="preserve">latus I C, vnius æquale ſit
              <lb/>
            lateri I C, alterius, erunt reliqua latera vnius reliquis lateribus alterius æqualia, &</s>
            <s xml:id="echoid-s21089" xml:space="preserve">c. </s>
            <s xml:id="echoid-s21090" xml:space="preserve">Deinde ex cen
              <lb/>
              <note position="right" xlink:label="note-0329-06" xlink:href="note-0329-06a" xml:space="preserve">26. primi.</note>
            tro L, circuli illius, beneficio cuius puncta horarum in æquinoctiali linea inuenimus, accipiantur
              <lb/>
            omnia interualla vſque ad puncta horarum in linea æquinoctiali, eaq́ue ex I, in radium Aequato-
              <lb/>
            ris I G, transferantur. </s>
            <s xml:id="echoid-s21091" xml:space="preserve">Si enim ex C, per puncta, quæ in radio Aequatoris prædicta interualla ter-
              <lb/>
            minant, lineæ rectæ ducantur, erunt hæ omnium horarum lineæ citra, & </s>
            <s xml:id="echoid-s21092" xml:space="preserve">vltra lineam ſtyli,
              <lb/>
            quæ lineam æquinoctialem interſecant, inſtar linearum horariarum horizontalis horologij, quæ
              <lb/>
            ex puncto H, in figura poſteriore propoſ. </s>
            <s xml:id="echoid-s21093" xml:space="preserve">2. </s>
            <s xml:id="echoid-s21094" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s21095" xml:space="preserve">per puncta in radio Aequatoris in-
              <lb/>
              <note position="left" xlink:label="note-0329-07" xlink:href="note-0329-07a" xml:space="preserve">50</note>
            uenta ducuntur. </s>
            <s xml:id="echoid-s21096" xml:space="preserve">His igitur lineis apponantur numeri horarum reſpondentes horis, quarum in-
              <lb/>
            terualla inter centrum L, & </s>
            <s xml:id="echoid-s21097" xml:space="preserve">lineam æquinoctialem poſita, translata ſunt in radium Aequatoris ex
              <lb/>
            puncto I, notando diligenter, quæ lineæ referãt horas ad ſiniſtram lineæ ſtyli poſitas, & </s>
            <s xml:id="echoid-s21098" xml:space="preserve">quæ horas
              <lb/>
            ad dextram eiuſdem lineæ collocatas. </s>
            <s xml:id="echoid-s21099" xml:space="preserve">Id quod numeri lineis appoſiti vel facile indicant, reſpon-
              <lb/>
            dentes numeris linearum horariarum horologij, quæ æquinoctialem lineam interſecant. </s>
            <s xml:id="echoid-s21100" xml:space="preserve">Has
              <lb/>
            enim lineas duntaxat referunt lineæ hactenus ex puncto C, per radii Aequatoris puncta emiſſæ.
              <lb/>
            </s>
            <s xml:id="echoid-s21101" xml:space="preserve">Eaſdem has lineas obtinebimus, ſi ex horologio ſumamus interualla horaria inter centrum C, & </s>
            <s xml:id="echoid-s21102" xml:space="preserve">
              <lb/>
            lineam æquinoctialem poſita, eaq́ue ex C, transferamus in radium Aequatoris I G, & </s>
            <s xml:id="echoid-s21103" xml:space="preserve">per puncta,
              <lb/>
            quæ terminant hæc interualla in radio Aequatoris, ex C, lineas ducamus, &</s>
            <s xml:id="echoid-s21104" xml:space="preserve">c. </s>
            <s xml:id="echoid-s21105" xml:space="preserve">vt & </s>
            <s xml:id="echoid-s21106" xml:space="preserve">in horologio
              <lb/>
            horizontali fecimus, & </s>
            <s xml:id="echoid-s21107" xml:space="preserve">in Verticali. </s>
            <s xml:id="echoid-s21108" xml:space="preserve">Quòd ſi contingat lineam quampiam horariam in horolo-
              <lb/>
            gio lineam ęquinoctialem non ſecare, etiamſi infinitè producatur, ſed ei æquidiſtare, ducenda </s>
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