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-s28054" xml:space="preserve">
              <pb o="428" file="0444" n="444" rhead="GNOMONICES"/>
            ridie, vel media nocte computentur, in complementa verò earundem vſque ad 24. </s>
            <s xml:id="echoid-s28055" xml:space="preserve">ſi numerentur
              <lb/>
            ab ortu, vel occaſu, & </s>
            <s xml:id="echoid-s28056" xml:space="preserve">quæ in ſphæra obliqua boreali à meridie cõputabantur, in hac altera à me-
              <lb/>
            dia nocte ſupputentur, & </s>
            <s xml:id="echoid-s28057" xml:space="preserve">contra: </s>
            <s xml:id="echoid-s28058" xml:space="preserve">Quæ verò ab ortu ibi numerari ſolebant, numerentur hic ab
              <lb/>
            occaſu, & </s>
            <s xml:id="echoid-s28059" xml:space="preserve">e contrario; </s>
            <s xml:id="echoid-s28060" xml:space="preserve">adeò vt ex Italico horologio fiat Babylonicum, & </s>
            <s xml:id="echoid-s28061" xml:space="preserve">Italicum ex Babylonico,
              <lb/>
            quod ad lineamenta attinet. </s>
            <s xml:id="echoid-s28062" xml:space="preserve">Nam numeri horarum mutantur in complementa vſque ad 24. </s>
            <s xml:id="echoid-s28063" xml:space="preserve">vt
              <lb/>
            diximus. </s>
            <s xml:id="echoid-s28064" xml:space="preserve">Pari ratione numeri horarum inæqualium mutandi ſunt in earum complementa vſque
              <lb/>
            ad 12. </s>
            <s xml:id="echoid-s28065" xml:space="preserve">Ratio autem huius mutationis perſpicua eſt, ſi diligenter ſitus horologii conſideretur. </s>
            <s xml:id="echoid-s28066" xml:space="preserve">Nã
              <lb/>
            quæ pars horologii in ſphæra obliqua boreali vergebat in ortum, atque adeo horas continebat
              <lb/>
            poſt meridiem, vel ab occaſu, ſpectat in auſtrali ſphæra obliqua in occaſum, horasq́ue complecti-
              <lb/>
            tur ante meridiem, vel ab ortu, & </s>
            <s xml:id="echoid-s28067" xml:space="preserve">è contrario. </s>
            <s xml:id="echoid-s28068" xml:space="preserve">Exemplum hic habes in horologio horizontali ad
              <lb/>
              <note position="left" xlink:label="note-0444-01" xlink:href="note-0444-01a" xml:space="preserve">10</note>
              <figure xlink:label="fig-0444-01" xlink:href="fig-0444-01a" number="293">
                <image file="0444-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0444-01"/>
              </figure>
              <note position="left" xlink:label="note-0444-02" xlink:href="note-0444-02a" xml:space="preserve">20</note>
            latitudinem auſtralem grad. </s>
            <s xml:id="echoid-s28069" xml:space="preserve">42. </s>
            <s xml:id="echoid-s28070" xml:space="preserve">cõſtructo. </s>
            <s xml:id="echoid-s28071" xml:space="preserve">Vbi perſpicue cernis, horologium Babylonicũ in ſphæ
              <lb/>
            ra boreali, eſſe in auſtrali Italicum, & </s>
            <s xml:id="echoid-s28072" xml:space="preserve">contra: </s>
            <s xml:id="echoid-s28073" xml:space="preserve">Item horas, quæ ibi à meridie numerantur, compu-
              <lb/>
            tari hic à med. </s>
            <s xml:id="echoid-s28074" xml:space="preserve">noc. </s>
            <s xml:id="echoid-s28075" xml:space="preserve">& </s>
            <s xml:id="echoid-s28076" xml:space="preserve">contra. </s>
            <s xml:id="echoid-s28077" xml:space="preserve">Lineæ punctis notatæ pertinent ad horas aſtronomicas, quarum
              <lb/>
              <note position="left" xlink:label="note-0444-03" xlink:href="note-0444-03a" xml:space="preserve">30</note>
            numeri prope ęquinoctialem lineam ſunt poſiti; </s>
            <s xml:id="echoid-s28078" xml:space="preserve">lineæ vero vltra tropicos productæ horas ab oc-
              <lb/>
            caſu ſignificant, & </s>
            <s xml:id="echoid-s28079" xml:space="preserve">reliquæ horas ab ortu.</s>
            <s xml:id="echoid-s28080" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">A reus diurni
            <lb/>
          in ſphæra obli
            <lb/>
          qua auſtrali.</note>
          <p>
            <s xml:id="echoid-s28081" xml:space="preserve">NVMERI porrò arcubus diurnis aſcripti non mutantur, licet ipſimet arcus non iidem per-
              <lb/>
            maneant. </s>
            <s xml:id="echoid-s28082" xml:space="preserve">Arcus etenim diurni plures horas, quàm 12. </s>
            <s xml:id="echoid-s28083" xml:space="preserve">continentes ſunt in obliqua ſphæra bo-
              <lb/>
            reali boreales, in auſtrali verò ſphæra obliqua ijdem auſtrales ſunt, &</s>
            <s xml:id="echoid-s28084" xml:space="preserve">c.</s>
            <s xml:id="echoid-s28085" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s28086" xml:space="preserve">VERTICALES circuli, & </s>
            <s xml:id="echoid-s28087" xml:space="preserve">paralleli Horizontis mutandi quoque non ſunt, ſiue lineamen
              <lb/>
              <note position="left" xlink:label="note-0444-05" xlink:href="note-0444-05a" xml:space="preserve">Verticales cir-
                <lb/>
              culi, & paralle-
                <lb/>
              li Horizontis.</note>
            ta, ſiue numeri conſiderentur.</s>
            <s xml:id="echoid-s28088" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s28089" xml:space="preserve">MERIDIANI deſcribendi ſunt in auſtrali hemiſphærio, vt in boreali, ſi à meridiana linea
              <lb/>
              <note position="left" xlink:label="note-0444-06" xlink:href="note-0444-06a" xml:space="preserve">Meridiani cir-
                <lb/>
              culi.</note>
            in circulo, beneſicio cuius horę aſtronomicæ ſunt deſcriptæ, numeretur longitudo loci verſus par
              <lb/>
            tes occidentales, quæ nobis ad polum antarcticum conuerſis dextræ ſunt.</s>
            <s xml:id="echoid-s28090" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">40</note>
          <p>
            <s xml:id="echoid-s28091" xml:space="preserve">LINEÆ quoque cœleſtium domorum eædẽ remanent, numeri duntaxat permutandi ſunt.
              <lb/>
            </s>
            <s xml:id="echoid-s28092" xml:space="preserve">
              <note position="left" xlink:label="note-0444-08" xlink:href="note-0444-08a" xml:space="preserve">Domus cœle-
                <lb/>
              ſtes.</note>
            Nam quiad ſiniſtram poſiti ſunt, collocandi erunt ad dextram, & </s>
            <s xml:id="echoid-s28093" xml:space="preserve">contra, ita vt ex domo 12. </s>
            <s xml:id="echoid-s28094" xml:space="preserve">fiat
              <lb/>
            domus 8. </s>
            <s xml:id="echoid-s28095" xml:space="preserve">& </s>
            <s xml:id="echoid-s28096" xml:space="preserve">ex domo 11. </s>
            <s xml:id="echoid-s28097" xml:space="preserve">domus 9. </s>
            <s xml:id="echoid-s28098" xml:space="preserve">&</s>
            <s xml:id="echoid-s28099" xml:space="preserve">c.</s>
            <s xml:id="echoid-s28100" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s28101" xml:space="preserve">SIGNA tandẽ aſcendentia depingenda ſunt in ſphæra obliqua auſtrali, vt in boreali, ſi prius
              <lb/>
              <note position="left" xlink:label="note-0444-09" xlink:href="note-0444-09a" xml:space="preserve">Aſcendentia
                <unsure/>
                <lb/>
              ſigna.</note>
            tabulæ conſtruantur, pro data latitudine loci auſtralis, ſimiles illis, quas in propoſ. </s>
            <s xml:id="echoid-s28102" xml:space="preserve">9. </s>
            <s xml:id="echoid-s28103" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s28104" xml:space="preserve">2. </s>
            <s xml:id="echoid-s28105" xml:space="preserve">com-
              <lb/>
            poſuimus: </s>
            <s xml:id="echoid-s28106" xml:space="preserve">hoc diligenter obſeruato, aſcenſiones obliquas omnium ſignorum in boreali ſphæta
              <lb/>
            obliqua conuenire in auſtrali ſphæra ſignis oppoſitis. </s>
            <s xml:id="echoid-s28107" xml:space="preserve">Item arcus diurnos, ſemidiurnosve in ſphę
              <lb/>
            ra boreali ſupputatos, tribuendos eſſe in auſtrali ſignis oppoſitis, &</s>
            <s xml:id="echoid-s28108" xml:space="preserve">c. </s>
            <s xml:id="echoid-s28109" xml:space="preserve">Quæ omnia copiose oſten-
              <lb/>
            ſa à nobis ſunt in rebus aſtronomicis.</s>
            <s xml:id="echoid-s28110" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s28111" xml:space="preserve">OMNIA hæc in aliis etiam horologiis obſeruanda ſunt, ſed quod ad eorum deſcriptionẽ,
              <lb/>
              <note position="left" xlink:label="note-0444-10" xlink:href="note-0444-10a" xml:space="preserve">50</note>
            & </s>
            <s xml:id="echoid-s28112" xml:space="preserve">collocationem attinet, quicquid in ſphęra obliqua boreali de parte auſtrali, & </s>
            <s xml:id="echoid-s28113" xml:space="preserve">orientali dixi-
              <lb/>
              <note position="left" xlink:label="note-0444-11" xlink:href="note-0444-11a" xml:space="preserve">Quo pacto alia
                <lb/>
              horologia pro
                <lb/>
              ſphæra obliqua
                <lb/>
              boreali conſt ru
                <lb/>
              cta, col
                <unsure/>
              locanda
                <lb/>
              ſint in ſphæra
                <lb/>
              obliqua auſtra
                <lb/>
              li.</note>
            mus, in hac altera obliqua auſtrali intelligendum eſt de parte boreali, & </s>
            <s xml:id="echoid-s28114" xml:space="preserve">occidentali, & </s>
            <s xml:id="echoid-s28115" xml:space="preserve">contra.
              <lb/>
            </s>
            <s xml:id="echoid-s28116" xml:space="preserve">Hoc eſt, Auſtrale horologium, quod propoſ. </s>
            <s xml:id="echoid-s28117" xml:space="preserve">13. </s>
            <s xml:id="echoid-s28118" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s28119" xml:space="preserve">2. </s>
            <s xml:id="echoid-s28120" xml:space="preserve">delineauimus ad latitudinem borealem
              <lb/>
            grad. </s>
            <s xml:id="echoid-s28121" xml:space="preserve">42. </s>
            <s xml:id="echoid-s28122" xml:space="preserve">ſpectare debet in ſphæra auſtrali eiuſdem latitudinis ad boream, quia ex ea parte meri-
              <lb/>
            dies efficitur, & </s>
            <s xml:id="echoid-s28123" xml:space="preserve">pars quę ibi vergebat in ortum, poni hic debet verſus occaſum, & </s>
            <s xml:id="echoid-s28124" xml:space="preserve">è contrario. </s>
            <s xml:id="echoid-s28125" xml:space="preserve">
              <lb/>
            Rurſus Meridianum horologium orientale propoſ. </s>
            <s xml:id="echoid-s28126" xml:space="preserve">25. </s>
            <s xml:id="echoid-s28127" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s28128" xml:space="preserve">2. </s>
            <s xml:id="echoid-s28129" xml:space="preserve">deſcriptum pro eadem latitudine bo
              <lb/>
            reali grad. </s>
            <s xml:id="echoid-s28130" xml:space="preserve">42. </s>
            <s xml:id="echoid-s28131" xml:space="preserve">erit in auſtrali ſphæra eiuſdem latitudinis occidentale, & </s>
            <s xml:id="echoid-s28132" xml:space="preserve">contra, occidentale fiet
              <lb/>
            orientale, ita tamen vtrumque collocandum erit, vt pars, quæ prius in auſtrum vergebat, nunc in
              <lb/>
            boream ſpectet, & </s>
            <s xml:id="echoid-s28133" xml:space="preserve">contra. </s>
            <s xml:id="echoid-s28134" xml:space="preserve">Sic etiam declinantia horologia immutanda erunt, vt quod prius de-
              <lb/>
            clinabat à meridie in ortum, nunc à ſeptentrione deflectat in occaſum, &</s>
            <s xml:id="echoid-s28135" xml:space="preserve">c. </s>
            <s xml:id="echoid-s28136" xml:space="preserve">Eadem ratione </s>
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