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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        <div xml:id="echoid-div1383" type="section" level="1" n="338">
          <p>
            <s xml:id="echoid-s27316" xml:space="preserve">
              <pb o="415" file="0431" n="431" rhead="LIBER QVARTVS."/>
            tali horologio ſphæræ rectæ ducenda non eſt, ſient nec in horizontali horologio ſphæræ obli-
              <lb/>
            quæ ducitur, cum Horizon illam ltneam faciens planum horologii horizontalis ſiue in ſphæra
              <lb/>
            recta, ſiue in obli
              <lb/>
              <figure xlink:label="fig-0431-01" xlink:href="fig-0431-01a" number="285">
                <image file="0431-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0431-01"/>
              </figure>
            qua, nõ ſecet. </s>
            <s xml:id="echoid-s27317" xml:space="preserve">Ita-
              <lb/>
            que ſi polare ho
              <lb/>
            rologium lib. </s>
            <s xml:id="echoid-s27318" xml:space="preserve">2.
              <lb/>
            </s>
            <s xml:id="echoid-s27319" xml:space="preserve">deſcriptũ in ſphę
              <lb/>
            ra recta ſtatuatur
              <lb/>
            Horizonti æqui-
              <lb/>
            diſtãs, ita vt linea
              <lb/>
              <note position="left" xlink:label="note-0431-01" xlink:href="note-0431-01a" xml:space="preserve">10</note>
            meridiana pro-
              <lb/>
            prium ſitum ha-
              <lb/>
            beat, punctumq́;
              <lb/>
            </s>
            <s xml:id="echoid-s27320" xml:space="preserve">D, ad borealem
              <lb/>
            polum, & </s>
            <s xml:id="echoid-s27321" xml:space="preserve">E, ad
              <lb/>
            auſtralem vergat,
              <lb/>
            habebunt nume
              <lb/>
            ri horarum, & </s>
            <s xml:id="echoid-s27322" xml:space="preserve">ſi-
              <lb/>
            gna Zodiaci eun
              <lb/>
            dem ordinẽ, quẽ
              <lb/>
              <note position="left" xlink:label="note-0431-02" xlink:href="note-0431-02a" xml:space="preserve">20</note>
            in polari horologio, hoc eſt, horæ à media nocte ſitæ erunt nobis ad polum antarcticum conuer
              <lb/>
            ſis ad dexteram, ſiue ad occaſum; </s>
            <s xml:id="echoid-s27323" xml:space="preserve">horę verò à meridie ad ſiniſtram ſiue ad ortum. </s>
            <s xml:id="echoid-s27324" xml:space="preserve">Signa item be-
              <lb/>
            realia ad auſtrum, & </s>
            <s xml:id="echoid-s27325" xml:space="preserve">auſtralia ad boream erunt poſita, vt appoſita figura demonſtrat, in qua ex om
              <lb/>
            nibus parallelis ſolos duos tropicos deſcripſimus.</s>
            <s xml:id="echoid-s27326" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s27327" xml:space="preserve">PARALLELI arcuum diurnorum in ſphæra recta nulli ſunt, quia ibi nulla eſt dierum in
              <lb/>
              <note position="right" xlink:label="note-0431-03" xlink:href="note-0431-03a" xml:space="preserve">Arcus diurai
                <unsure/>
                <lb/>
              in ſp
                <unsure/>
              hæra recta
                <lb/>
              nulii ſunt, quia
                <lb/>
              omnes comple
                <lb/>
              ctuntur horas
                <lb/>
              12.</note>
            æqualitas, ſed quilibet dies artiſicialis comprehendit horas 12. </s>
            <s xml:id="echoid-s27328" xml:space="preserve">toridemq́ue nox artificialis, per-
              <lb/>
            petuumq́ue efficitur æquinoctium, vt in ſphæra explicauimus, adeo vt quiuis parallelus, ſeu arcus
              <lb/>
            ſigni, dici poſſit arcus diurnus horarum 12.</s>
            <s xml:id="echoid-s27329" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s27330" xml:space="preserve">LINEÆ horarũ abortu, & </s>
            <s xml:id="echoid-s27331" xml:space="preserve">occaſu à lineis horarum à meridie, & </s>
            <s xml:id="echoid-s27332" xml:space="preserve">media nocte non differũt,
              <lb/>
              <note position="right" xlink:label="note-0431-04" xlink:href="note-0431-04a" xml:space="preserve">Horologium
                <lb/>
              Italicum, ac Ba
                <lb/>
              bylo@icum in
                <lb/>
              ſphæra recta ſo
                <lb/>
              lo numero ho-
                <lb/>
              ratum diftert
                <lb/>
              ab Aſtronomi-
                <lb/>
              co.</note>
            ſolum numeri horarum mutãdi ſunt. </s>
            <s xml:id="echoid-s27333" xml:space="preserve">Quoniam enim perpetuo in ſphęra recta Sol oritur hora 6.
              <lb/>
            </s>
            <s xml:id="echoid-s27334" xml:space="preserve">
              <note position="left" xlink:label="note-0431-05" xlink:href="note-0431-05a" xml:space="preserve">30</note>
            à media nocte, & </s>
            <s xml:id="echoid-s27335" xml:space="preserve">24 ab ortu, & </s>
            <s xml:id="echoid-s27336" xml:space="preserve">12. </s>
            <s xml:id="echoid-s27337" xml:space="preserve">ab occaſu, dabit hora 7. </s>
            <s xml:id="echoid-s27338" xml:space="preserve">à media nocte horam 1. </s>
            <s xml:id="echoid-s27339" xml:space="preserve">ab ortu & </s>
            <s xml:id="echoid-s27340" xml:space="preserve">
              <lb/>
            1. </s>
            <s xml:id="echoid-s27341" xml:space="preserve">ab occaſu; </s>
            <s xml:id="echoid-s27342" xml:space="preserve">& </s>
            <s xml:id="echoid-s27343" xml:space="preserve">hora 8. </s>
            <s xml:id="echoid-s27344" xml:space="preserve">à media nocte horam 2. </s>
            <s xml:id="echoid-s27345" xml:space="preserve">ab ortu, & </s>
            <s xml:id="echoid-s27346" xml:space="preserve">14. </s>
            <s xml:id="echoid-s27347" xml:space="preserve">ab occaſu, &</s>
            <s xml:id="echoid-s27348" xml:space="preserve">c. </s>
            <s xml:id="echoid-s27349" xml:space="preserve">vt in ſigura ap-
              <lb/>
            poſita apparet, in qua numeri ad lineam æquinoctialem poſiti pertinẽt ad horas aſtronomicas, ſi-
              <lb/>
            ue à meridie, & </s>
            <s xml:id="echoid-s27350" xml:space="preserve">media nocte, numeri verò ad tropicum ♑, indicant horas ab ortn Solis, & </s>
            <s xml:id="echoid-s27351" xml:space="preserve">reli-
              <lb/>
            qui iuxta tropicum ♋, horas ab occaſu Solis demonſtrant.</s>
            <s xml:id="echoid-s27352" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">Horologium
            <lb/>
          Antiquum in
            <lb/>
          phæra recta @
            <lb/>
          Pabylonico no
            <unsure/>
            <lb/>
          diftert.</note>
          <p>
            <s xml:id="echoid-s27353" xml:space="preserve">HORÆ autem inæquales locum non habent in ſphæra recta, cum ſemper dies, & </s>
            <s xml:id="echoid-s27354" xml:space="preserve">noctes æ-
              <lb/>
            quales ſint, comprehendantq́ue horas 12. </s>
            <s xml:id="echoid-s27355" xml:space="preserve">æquales inter ſe. </s>
            <s xml:id="echoid-s27356" xml:space="preserve">Vnde horæ ab ortu indi
              <unsure/>
            cant duodeci-
              <lb/>
            mas partes diei tranſactas, quemadmodum horæ inæquales in ſphæra obliqua.</s>
            <s xml:id="echoid-s27357" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s27358" xml:space="preserve">VERTICALES quoque circuli, & </s>
            <s xml:id="echoid-s27359" xml:space="preserve">paralleli Horizontis eadem ratione hic, qua in horo-
              <lb/>
              <note position="right" xlink:label="note-0431-07" xlink:href="note-0431-07a" xml:space="preserve">Verticaliũ cir-
                <lb/>
              culorũ, & pa ral
                <lb/>
              lelorum Hori-
                <lb/>
              zontis in horo
                <lb/>
              logio horizon-
                <lb/>
              tali ſphætæ re-
                <lb/>
              ctæ deſcriptio.</note>
            logio horizontali deſcribentur. </s>
            <s xml:id="echoid-s27360" xml:space="preserve">Nam lineæ Verticales tranſeunt per locum ſtyli, hoc eſt, per pũ-
              <lb/>
            ctum, vbi linea meridiana, & </s>
            <s xml:id="echoid-s27361" xml:space="preserve">æquinoctialis ſe mutuo ſecant, & </s>
            <s xml:id="echoid-s27362" xml:space="preserve">linea æquinoctialis dabit Verti-
              <lb/>
              <note position="left" xlink:label="note-0431-08" xlink:href="note-0431-08a" xml:space="preserve">40</note>
            calem proprie dictum, à quo reliqui Verticales numerantur; </s>
            <s xml:id="echoid-s27363" xml:space="preserve">quia Verticalis, & </s>
            <s xml:id="echoid-s27364" xml:space="preserve">Æquator in ſphę-
              <lb/>
            ra recta unum eundemq́ue circulum conſtituunt. </s>
            <s xml:id="echoid-s27365" xml:space="preserve">Paralleli autem Horizontis ex eo dem loco ſtyli,
              <lb/>
            vt centro deſcribuntur, &</s>
            <s xml:id="echoid-s27366" xml:space="preserve">c.</s>
            <s xml:id="echoid-s27367" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">Meridiani cir-
            <lb/>
          culi in horolo-
            <lb/>
          gio horizontali
            <lb/>
          ſphæ@ę rectæ
            <lb/>
          quo pacto de-
            <lb/>
          ſcr@bantur.</note>
          <p>
            <s xml:id="echoid-s27368" xml:space="preserve">MERIDIANI porro circuli, ſiue circuli longitudinum ciuitatum deſcribentur hic, vt
              <lb/>
            in horologio polari, ſi in circulo, beneficio cuius horæ aſtronomicæ ſunt delineatæ, numeretur
              <lb/>
            longitudo loci à meridiana linea D E, uerſus occaſum, uſque ad Meridianum Inſularum Fortu-
              <lb/>
            natarum, &</s>
            <s xml:id="echoid-s27369" xml:space="preserve">c.</s>
            <s xml:id="echoid-s27370" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">Domorum cœ
            <lb/>
          leſtium deſcri-
            <lb/>
          p@o in horizon
            <lb/>
          tali horolog@o
            <lb/>
          @phæræ rectæ.</note>
          <p>
            <s xml:id="echoid-s27371" xml:space="preserve">RVRSVS domus cœleſtes depingentur in Horizonte recto, vt in obliquo. </s>
            <s xml:id="echoid-s27372" xml:space="preserve">Sunt namque & </s>
            <s xml:id="echoid-s27373" xml:space="preserve">
              <lb/>
            hic inter ſe parallelæ lineæ domorum cœleſtium, & </s>
            <s xml:id="echoid-s27374" xml:space="preserve">ſingula ſpatia inter binas lineas unam domũ
              <lb/>
              <note position="left" xlink:label="note-0431-11" xlink:href="note-0431-11a" xml:space="preserve">50</note>
            intercipientes poſita complectuntur binas horas. </s>
            <s xml:id="echoid-s27375" xml:space="preserve">Vnde linea horæ 8. </s>
            <s xml:id="echoid-s27376" xml:space="preserve">à media nocte dabit initiũ
              <lb/>
            domus duodecimæ & </s>
            <s xml:id="echoid-s27377" xml:space="preserve">linea horæ 10 à media nocte principium domus vndecimæ; </s>
            <s xml:id="echoid-s27378" xml:space="preserve">linea uerò me-
              <lb/>
            ridiana initium decimæ domus, & </s>
            <s xml:id="echoid-s27379" xml:space="preserve">linea horæ 2. </s>
            <s xml:id="echoid-s27380" xml:space="preserve">à meridie initium domus nonæ; </s>
            <s xml:id="echoid-s27381" xml:space="preserve">linea denique
              <lb/>
            horæ 4. </s>
            <s xml:id="echoid-s27382" xml:space="preserve">à meridie initium domus octauæ. </s>
            <s xml:id="echoid-s27383" xml:space="preserve">Vno autem modo hic deſcribuntur domus cœleſtes,
              <lb/>
            quia Æquator, & </s>
            <s xml:id="echoid-s27384" xml:space="preserve">Verticalis circulus in ſphæra recta non differunt. </s>
            <s xml:id="echoid-s27385" xml:space="preserve">Vnde eædem domus ſunt
              <lb/>
            ſecundum Ioan. </s>
            <s xml:id="echoid-s27386" xml:space="preserve">Regiom. </s>
            <s xml:id="echoid-s27387" xml:space="preserve">& </s>
            <s xml:id="echoid-s27388" xml:space="preserve">Campanum.</s>
            <s xml:id="echoid-s27389" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">Signa aſcendẽ
            <unsure/>
          -
            <lb/>
          tia qua ui
            <unsure/>
          a in
            <lb/>
          horologi
            <unsure/>
          o hoti
            <lb/>
          zontali ſphæræ
            <lb/>
          rectæ depingan
            <lb/>
          tur.</note>
          <p>
            <s xml:id="echoid-s27390" xml:space="preserve">ASCENDENTIA denique ſigna hic etiã deſcribentur, vt in ſuperioribus horologijs, ſi
              <lb/>
            prius cõponantut tabulæ continentes horas, quibus principia ſignorum ſupra Horizontem aſcẽ-
              <lb/>
            dunt in ſphæra recta. </s>
            <s xml:id="echoid-s27391" xml:space="preserve">Hæ autem componentur, vt docuimus lib. </s>
            <s xml:id="echoid-s27392" xml:space="preserve">2. </s>
            <s xml:id="echoid-s27393" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s27394" xml:space="preserve">9. </s>
            <s xml:id="echoid-s27395" xml:space="preserve">ſi loco aſcenſionũ
              <lb/>
            obliquarum aſſumantur aſcenſiones rectæ. </s>
            <s xml:id="echoid-s27396" xml:space="preserve">Ita compoſitæ ſunt ſequentes quatuor tabellę.</s>
            <s xml:id="echoid-s27397" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
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