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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          <p>
            <s xml:id="echoid-s15628" xml:space="preserve">QVONIAM vero ♉, oritur, cum ♏, ſignum oppoſitum occidit, hoc eſt, quando vmbra ſty-
              <lb/>
            li in horologio proiicitur in punctum C; </s>
            <s xml:id="echoid-s15629" xml:space="preserve">ſi coniungamus B, punctum ♉, in æquinoctiali linea in-
              <lb/>
            uentum cum puncto C, inuento in linea horizontali, habebimus ſignum ♉, aſcendens. </s>
            <s xml:id="echoid-s15630" xml:space="preserve">Eodem
              <lb/>
              <figure xlink:label="fig-0250-01" xlink:href="fig-0250-01a" number="175">
                <image file="0250-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0250-01"/>
              </figure>
            modo ſi punctum ♊, in æquino-
              <lb/>
            ctiali inuentum cõnectamus cum
              <lb/>
            puncto D, in quo ♐, occidit, habe-
              <lb/>
            bimus ſignum ♊, aſcendens, & </s>
            <s xml:id="echoid-s15631" xml:space="preserve">ita
              <lb/>
            de cæteris ſignis Borealibus. </s>
            <s xml:id="echoid-s15632" xml:space="preserve">Rur-
              <lb/>
            ſus quia Sole exiſtente in principio
              <lb/>
            ♐, orienteq́; </s>
            <s xml:id="echoid-s15633" xml:space="preserve">eodem ſigno, vmbra
              <lb/>
              <note position="left" xlink:label="note-0250-01" xlink:href="note-0250-01a" xml:space="preserve">10</note>
            ſtyli proiicitur in L, coniungemus
              <lb/>
            punctum L, cũ puncto ♐, in æqui-
              <lb/>
            noctiali linea inuento, vt habea-
              <lb/>
            mus ſignum ♐, aſcendens. </s>
            <s xml:id="echoid-s15634" xml:space="preserve">Ita
              <lb/>
            quoque punctum ♑, in linea æqui
              <lb/>
            noctiali inuentum iungemus cum
              <lb/>
            puncto M, vbi ♑, oritur, vt habea
              <lb/>
            mus ſignum ♑, aſcendens, & </s>
            <s xml:id="echoid-s15635" xml:space="preserve">ſic
              <lb/>
            de reliquis ſignis auſtralibus.</s>
            <s xml:id="echoid-s15636" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15637" xml:space="preserve">OBSERVANDVM autem
              <lb/>
              <note position="left" xlink:label="note-0250-02" xlink:href="note-0250-02a" xml:space="preserve">20</note>
            eſt, ne in deſcriptione ſignorum in
              <lb/>
            auſtrali horologio accipiantur ex
              <lb/>
            prioribus duabus tabellis propoſ.
              <lb/>
            </s>
            <s xml:id="echoid-s15638" xml:space="preserve">9. </s>
            <s xml:id="echoid-s15639" xml:space="preserve">huius libri illorum ſignorũ ho-
              <lb/>
            ræ, quæ ſex horis, aut pluribus an-
              <lb/>
            te meridiem, vel poſt oriuntur. </s>
            <s xml:id="echoid-s15640" xml:space="preserve">
              <lb/>
            Hæ etenim æquinoctialem lineam non ſecant. </s>
            <s xml:id="echoid-s15641" xml:space="preserve">In horologio verò boreali pro deſcriptione eorun-
              <lb/>
            dem ſignorum ſumendæ ſunt huiuſmodi horæ, non autem illorum ſignorum, quæ ſex horis, aut
              <lb/>
            paucioribus ante, vel poſt meridiem oriuntur, eandem ob cauſam: </s>
            <s xml:id="echoid-s15642" xml:space="preserve">quia in horologio boreali li-
              <lb/>
            neam æquinoctialem ſecant illarum duntaxat horarum lineę, quæ pluribus horis, quàm ſex, à me-
              <lb/>
              <note position="left" xlink:label="note-0250-03" xlink:href="note-0250-03a" xml:space="preserve">30</note>
            ridie abſunt, vt ex iis, quæ propoſ. </s>
            <s xml:id="echoid-s15643" xml:space="preserve">13. </s>
            <s xml:id="echoid-s15644" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s15645" xml:space="preserve">ſcripſimus, conſtat.</s>
            <s xml:id="echoid-s15646" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Quomodo in
            <lb/>
          tropicis inueniã
            <lb/>
          t
            <unsure/>
          ur puncta aſcẽ
            <lb/>
          dentium ſigno-
            <lb/>
          r
            <unsure/>
          um.</note>
          <p>
            <s xml:id="echoid-s15647" xml:space="preserve">POSSVMVS quoque, ſi placet, in duobus tropicis inuenire puncta, per quæ ſigna aſcenden
              <lb/>
            tia duci debeant; </s>
            <s xml:id="echoid-s15648" xml:space="preserve">ducendo nimirum occultè lineam illius horæ, qua ſignum datum oritur, vt in
              <lb/>
            tertia, & </s>
            <s xml:id="echoid-s15649" xml:space="preserve">quarta tabella propoſ. </s>
            <s xml:id="echoid-s15650" xml:space="preserve">9. </s>
            <s xml:id="echoid-s15651" xml:space="preserve">huius libri apparet, quemadmodum in horologio horizontali
              <lb/>
            factum eſt: </s>
            <s xml:id="echoid-s15652" xml:space="preserve">dummodo illorum ſignorum horæ accipiantur, quæ tropicos ſecant; </s>
            <s xml:id="echoid-s15653" xml:space="preserve">nempe ex ter-
              <lb/>
            tia tabella illorum, quæ tropicum ♋, ex quarta autem, quæ tropicum ♑, ſecant. </s>
            <s xml:id="echoid-s15654" xml:space="preserve">Quod in vtro-
              <lb/>
            que horologio intelligendum eſt. </s>
            <s xml:id="echoid-s15655" xml:space="preserve">Vt v.</s>
            <s xml:id="echoid-s15656" xml:space="preserve">g. </s>
            <s xml:id="echoid-s15657" xml:space="preserve">quoniam ſignum ♍, oritur hora 2. </s>
            <s xml:id="echoid-s15658" xml:space="preserve">Min. </s>
            <s xml:id="echoid-s15659" xml:space="preserve">34. </s>
            <s xml:id="echoid-s15660" xml:space="preserve">ante meri-
              <lb/>
            diem, Sole exiſtente in principio ♋, fit vt linea illius horæ ſecet arcum ♋, in puncto, per quod ſi-
              <lb/>
            gnum ♍, duci debet, &</s>
            <s xml:id="echoid-s15661" xml:space="preserve">c.</s>
            <s xml:id="echoid-s15662" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Quo pacto ſi-
            <lb/>
          gua aſcenden-
            <lb/>
          tia per doctrinã
            <lb/>
          conicorũ Apoll.
            <lb/>
          in horologio
            <lb/>
          deſcribantur.</note>
          <p>
            <s xml:id="echoid-s15663" xml:space="preserve">IMMO lineæ in his punctis tangentes tropicos (quæ ducentur, vt in coroll. </s>
            <s xml:id="echoid-s15664" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s15665" xml:space="preserve">37. </s>
            <s xml:id="echoid-s15666" xml:space="preserve">libri
              <lb/>
              <note position="left" xlink:label="note-0250-06" xlink:href="note-0250-06a" xml:space="preserve">40</note>
            primi Apoll. </s>
            <s xml:id="echoid-s15667" xml:space="preserve">docuimus) erunt ſigna aſcendentia, vt conſtat ex iis, quæ propoſ. </s>
            <s xml:id="echoid-s15668" xml:space="preserve">9. </s>
            <s xml:id="echoid-s15669" xml:space="preserve">huius libri de-
              <lb/>
            monſtrauimus.</s>
            <s xml:id="echoid-s15670" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15671" xml:space="preserve">LINEAS verò ♈, & </s>
            <s xml:id="echoid-s15672" xml:space="preserve">♎, hoc modo deſcribemus. </s>
            <s xml:id="echoid-s15673" xml:space="preserve">Quoniam aſcendente principio ♈, & </s>
            <s xml:id="echoid-s15674" xml:space="preserve">So-
              <lb/>
            le exiſtente in principio ♑, meridies eſt, vt conſtat ex quarta tabella propoſ. </s>
            <s xml:id="echoid-s15675" xml:space="preserve">9. </s>
            <s xml:id="echoid-s15676" xml:space="preserve">huius libri; </s>
            <s xml:id="echoid-s15677" xml:space="preserve">perſpi-
              <lb/>
            cuum eſt, communem tunc ſectionem plani horologii, & </s>
            <s xml:id="echoid-s15678" xml:space="preserve">Eclipticæ tranſire per illud punctum tro
              <lb/>
            pici ♑, per quod linea meridiana ducitur. </s>
            <s xml:id="echoid-s15679" xml:space="preserve">Quia verò eo tempore Æquator, circulus horæ 6. </s>
            <s xml:id="echoid-s15680" xml:space="preserve">à me
              <lb/>
            ridie vel media nocte, Verticalis proprie dictus, Ecliptica, & </s>
            <s xml:id="echoid-s15681" xml:space="preserve">Horizon, eandem habent ſectionem
              <lb/>
            communem, cui planum horologii æquidiſtat, cum parallelum ſit ipſi Verticali; </s>
            <s xml:id="echoid-s15682" xml:space="preserve">erunt per pro-
              <lb/>
            poſ. </s>
            <s xml:id="echoid-s15683" xml:space="preserve">18. </s>
            <s xml:id="echoid-s15684" xml:space="preserve">ſuperioris lib. </s>
            <s xml:id="echoid-s15685" xml:space="preserve">linea æquinoctialis, linea horę ſextæ, communis ſectio Eclipticæ ac plani
              <lb/>
            horologii, & </s>
            <s xml:id="echoid-s15686" xml:space="preserve">linea horizontalis, parallelæ inter ſe. </s>
            <s xml:id="echoid-s15687" xml:space="preserve">Recta ergo linea æquinoctiali lineæ, vel lineæ
              <lb/>
              <note position="left" xlink:label="note-0250-07" xlink:href="note-0250-07a" xml:space="preserve">50</note>
            horæ ſextæ, vel lineæ horizontali parallela per punctum, in quo linea meridiana tropicum ♑, ſe-
              <lb/>
            cat, educta dabit ſignum ♈, aſcendens. </s>
            <s xml:id="echoid-s15688" xml:space="preserve">Non aliter recta, quæ per punctum, in quo linea meridia-
              <lb/>
            na tropicum ♋, ſecat, lineæ æquinoctiali parallela ducitur, ſignum ♎, aſcendens dabit.</s>
            <s xml:id="echoid-s15689" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15690" xml:space="preserve">ALITER ſigna aſcendentia delineabimus hoc modo. </s>
            <s xml:id="echoid-s15691" xml:space="preserve">Extabella 6. </s>
            <s xml:id="echoid-s15692" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s15693" xml:space="preserve">9. </s>
            <s xml:id="echoid-s15694" xml:space="preserve">huius libri
              <lb/>
              <note position="left" xlink:label="note-0250-08" xlink:href="note-0250-08a" xml:space="preserve">Deſcriptio ſi-
                <lb/>
              gnorum aſcen-
                <lb/>
              dentium in ho
                <lb/>
              rologio per cœli
                <lb/>
              mediationes, &
                <lb/>
              puncta Eclipti-
                <lb/>
              cæ in circulo
                <lb/>
              horæ 6. à mer.
                <lb/>
              vel med. noc. cõ
                <lb/>
              ſtituta, dum ini
                <lb/>
              tia ſignorum
                <lb/>
              aſcendunt.</note>
            ſumantur declinationes mediationum cœli, & </s>
            <s xml:id="echoid-s15695" xml:space="preserve">ſecundum doctrinam propoſ. </s>
            <s xml:id="echoid-s15696" xml:space="preserve">14. </s>
            <s xml:id="echoid-s15697" xml:space="preserve">eiuſdem huius
              <lb/>
            lib. </s>
            <s xml:id="echoid-s15698" xml:space="preserve">in linea meridiana horologii auſtralis quærantur puncta, per quæ paralleli illarum declina-
              <lb/>
            tionum duci debent. </s>
            <s xml:id="echoid-s15699" xml:space="preserve">Similiter ex tabella ſeptima eiuſdem propoſ. </s>
            <s xml:id="echoid-s15700" xml:space="preserve">9. </s>
            <s xml:id="echoid-s15701" xml:space="preserve">huius libri accipiantur de-
              <lb/>
            clinationes punctorum auſtralium in circulo horæ ſextæ exiſtentium tam ante meridiem, quàm
              <lb/>
            poſt, vt tabella indicat; </s>
            <s xml:id="echoid-s15702" xml:space="preserve">& </s>
            <s xml:id="echoid-s15703" xml:space="preserve">ſecundum doctrinam dictæ propoſ. </s>
            <s xml:id="echoid-s15704" xml:space="preserve">14. </s>
            <s xml:id="echoid-s15705" xml:space="preserve">huius lib. </s>
            <s xml:id="echoid-s15706" xml:space="preserve">in linea horæ 6. </s>
            <s xml:id="echoid-s15707" xml:space="preserve">eiuſ-
              <lb/>
            dem horologii auſtralis inueniantur puncta, per quæ illarum declinationum paralleli ducuntur
              <lb/>
            tam ante meridiem, quàm poſt, vt in tabella apparet. </s>
            <s xml:id="echoid-s15708" xml:space="preserve">Si enim hæc puncta cum </s>
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