Blancanus, Josephus, Sphaera mvndi, sev cosmographia demonstratiua , ac facile methodo tradita : in qua totius Mundi fabrica, vna cum nouis, Tychonis, Kepleri, Galilaei, aliorumq' ; Astronomorum adinuentis continentur ; Accessere I. Breuis introductio ad geographiam. II. Apparatus ad mathematicarum studium. III. Echometria, idest Geometrica tractatio de Echo. IV. Nouum instrumentum ad Horologia

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      <text xml:lang="la" type="free">
        <div xml:id="echoid-div417" type="section" level="1" n="307">
          <p>
            <s xml:id="echoid-s16997" xml:space="preserve">
              <pb o="200" file="0222" n="227" rhead="INTRODVCTIO."/>
            tantumq; </s>
            <s xml:id="echoid-s16998" xml:space="preserve">ab eorum verticibus diſtat polus, quantum æquator; </s>
            <s xml:id="echoid-s16999" xml:space="preserve">tantũmq; </s>
            <s xml:id="echoid-s17000" xml:space="preserve">polusab horizonte eleuatur, quan-
              <lb/>
            tum æquator; </s>
            <s xml:id="echoid-s17001" xml:space="preserve">vnde caloræſtatis tantus eſt, quantum hyemis frigus: </s>
            <s xml:id="echoid-s17002" xml:space="preserve">& </s>
            <s xml:id="echoid-s17003" xml:space="preserve">Horologium ſolare horizontale in-
              <lb/>
            ſeruit etiam pro verticali.</s>
            <s xml:id="echoid-s17004" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div418" type="section" level="1" n="308">
          <head xml:id="echoid-head326" style="it" xml:space="preserve">De quinta Sphæra, ideſt obliqua, cuius vertex eſtin circulo polari.</head>
          <p>
            <s xml:id="echoid-s17005" xml:space="preserve">HIc polus præcisè eleuatur gr. </s>
            <s xml:id="echoid-s17006" xml:space="preserve">66 {1/2}. </s>
            <s xml:id="echoid-s17007" xml:space="preserve">& </s>
            <s xml:id="echoid-s17008" xml:space="preserve">tropicus vnus totus ect ſupra horizontem, alter vero totus infra; </s>
            <s xml:id="echoid-s17009" xml:space="preserve">il-
              <lb/>
            le coincidit cum maximo paralello ſemper apparentium, hic verò cum maximo ſemper latentium. </s>
            <s xml:id="echoid-s17010" xml:space="preserve">qui-
              <lb/>
            bus ſit vt aſtra, quæ ſunt intra Zonam torridam oriantur, & </s>
            <s xml:id="echoid-s17011" xml:space="preserve">occidant. </s>
            <s xml:id="echoid-s17012" xml:space="preserve">quæ ſunt extra ad polum eleuatũ ſem-
              <lb/>
            per lateant. </s>
            <s xml:id="echoid-s17013" xml:space="preserve">habent dierum varietates, maxin uſq; </s>
            <s xml:id="echoid-s17014" xml:space="preserve">dies eſt horarum 24. </s>
            <s xml:id="echoid-s17015" xml:space="preserve">quando videlicet Sol percurrit tro-
              <lb/>
            picum extantem; </s>
            <s xml:id="echoid-s17016" xml:space="preserve">in altero vero tropico nox eſt horarum 24. </s>
            <s xml:id="echoid-s17017" xml:space="preserve">æquinoctia, & </s>
            <s xml:id="echoid-s17018" xml:space="preserve">ſolſtitia ſortiuntur, vt pręceden-
              <lb/>
            t
              <unsure/>
            es: </s>
            <s xml:id="echoid-s17019" xml:space="preserve">pariter & </s>
            <s xml:id="echoid-s17020" xml:space="preserve">quatuor anni tempora. </s>
            <s xml:id="echoid-s17021" xml:space="preserve">Eteroſcij ſunt, quia vmbram meridiei ad polum tantum conſpicuum
              <lb/>
            emittunt. </s>
            <s xml:id="echoid-s17022" xml:space="preserve">peculiare illis eſt, quod eclipticæ polus, qui circulum polarem deſcribit, ſemel per eorum verticem
              <unsure/>
              <lb/>
            tranſeat: </s>
            <s xml:id="echoid-s17023" xml:space="preserve">quo temporis momento ecliptica cum horizonte congruit, & </s>
            <s xml:id="echoid-s17024" xml:space="preserve">ſtatim poſt, bifariam ſe mutuo ſec@t.</s>
            <s xml:id="echoid-s17025" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div419" type="section" level="1" n="309">
          <head xml:id="echoid-head327" style="it" xml:space="preserve">De ſexta Sphæra, ideſt obliqua, cuius vertex eſt intra polarem circulum,
            <lb/>
          & polum conſpicuum.</head>
          <p>
            <s xml:id="echoid-s17026" xml:space="preserve">HÆc eſt frigidæ Zonæ habitatio. </s>
            <s xml:id="echoid-s17027" xml:space="preserve">habet dies maximos, & </s>
            <s xml:id="echoid-s17028" xml:space="preserve">noctes maximas conſtantes ex pluribus horis,
              <lb/>
            quam 24. </s>
            <s xml:id="echoid-s17029" xml:space="preserve">imo prout magis ad polum vertex appropinquat, conſtabunt ex pluribus diebus, & </s>
            <s xml:id="echoid-s17030" xml:space="preserve">noctibus; </s>
            <s xml:id="echoid-s17031" xml:space="preserve">& </s>
            <s xml:id="echoid-s17032" xml:space="preserve">
              <lb/>
            criam ex menſibus, ratio eſt, quia hic pars quædam eclipticæ ſemper manet ſupra horizontem verſus polum
              <lb/>
            eleuatum, & </s>
            <s xml:id="echoid-s17033" xml:space="preserve">altera huic oppoſita ſemper infra manet, quare Sole per eas incedente, erit ib:</s>
            <s xml:id="echoid-s17034" xml:space="preserve">
              <unsure/>
            dies continua, hic
              <lb/>
            vero nox: </s>
            <s xml:id="echoid-s17035" xml:space="preserve">quæ vt me ius intelligas conſtitue ſphæram materialem, vt propoſitum requirit, eamque motu
              <lb/>
            diurno conuerte, interim obſeruans eclipticam ad polum ſublimem, videbiſq; </s>
            <s xml:id="echoid-s17036" xml:space="preserve">portionem eius aliquam ſem-
              <lb/>
            per ſupra horizontem extare, tantumq; </s>
            <s xml:id="echoid-s17037" xml:space="preserve">ad polum depreſſum latere. </s>
            <s xml:id="echoid-s17038" xml:space="preserve">Sole igitur illam motu proprio obeun-
              <lb/>
            te, erit dies continuus, & </s>
            <s xml:id="echoid-s17039" xml:space="preserve">quidem tot ferè dierum, quot gradus erunt in ea: </s>
            <s xml:id="echoid-s17040" xml:space="preserve">hanc vero obeunte Sole, erit nox
              <lb/>
            continua. </s>
            <s xml:id="echoid-s17041" xml:space="preserve">vbi aduertendum eſt, quod quamuis hæ duę portiones æquales ſint, non tamen ſequitun
              <unsure/>
            diem con-
              <lb/>
            tinuum æqualem eſſe nocti continuæ, cauſa eſt apogæum Solis, quod nunc eſt in Cancro, propter quod Sol
              <lb/>
            tardius incedit per ſigna ſolſtitialia Cancri, quam in oppoſiris Capricorni, & </s>
            <s xml:id="echoid-s17042" xml:space="preserve">conſequenter dies ille conti-
              <lb/>
            nuus longior erit nocte continua, in boreali habitatione: </s>
            <s xml:id="echoid-s17043" xml:space="preserve">in auſtrali nox erit longior. </s>
            <s xml:id="echoid-s17044" xml:space="preserve">Ex ſphæra materiali
              <lb/>
            facilè eſt reperire quantitatem horum arcuum, ac proinde etiam dierum, ac noctium continuarum quæ illis
              <lb/>
            debentur. </s>
            <s xml:id="echoid-s17045" xml:space="preserve">quas quantitates videre potes in Tabula temporis diurni, aut
              <unsure/>
            ſemidiurni, quam ſupra in Sole dedi-
              <lb/>
            mus, præterea ſigna exiſtentia circa vernum æquinoctium, præpoſterẽ oriuntur, ideſt, Taurus ante Arietem,
              <lb/>
            Aries ante Piſces: </s>
            <s xml:id="echoid-s17046" xml:space="preserve">ſigna vero ad autumnale æquinoctium præpoſterè occidunt, ideſf, Sagittarius ante Scor-
              <lb/>
            pionem, Scorpio ante Libram, quæ vt impoſſibilia videantur, adhibita tamen materiali ſphæra, qua ratione
              <lb/>
            fiant clarè percipitur. </s>
            <s xml:id="echoid-s17047" xml:space="preserve">ortus, & </s>
            <s xml:id="echoid-s17048" xml:space="preserve">occaſus, æquinoctia, & </s>
            <s xml:id="echoid-s17049" xml:space="preserve">ſolſtitia, quatuor anni tempora, vmbræ tandem hic ſe
              <lb/>
            habent proportionaliter, vt in præcedentibus ſphæris obliquis.</s>
            <s xml:id="echoid-s17050" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div420" type="section" level="1" n="310">
          <head xml:id="echoid-head328" style="it" xml:space="preserve">De ſeptima, & vltima Sphæra, ideſt paralella, cuius vertex eſt alter polorum,
            <lb/>
          alter vero i@um cœli.</head>
          <p>
            <s xml:id="echoid-s17051" xml:space="preserve">HIc æquator horizonti congruit; </s>
            <s xml:id="echoid-s17052" xml:space="preserve">dimidiumq; </s>
            <s xml:id="echoid-s17053" xml:space="preserve">eclipticæ ſemper eſt ſupra, dimidiumq; </s>
            <s xml:id="echoid-s17054" xml:space="preserve">alterum infra ho-
              <lb/>
            rizontem vnde, nulla affixa ſydera diurna conuerſione oriuntur. </s>
            <s xml:id="echoid-s17055" xml:space="preserve">aut occidunt, ſed motu diurno deſcri-
              <lb/>
            bunt circulos horizonti paralellos, perpetuo enim dimidium cæli conſpicuum eſt, dimidium etiam occultũ:
              <lb/>
            </s>
            <s xml:id="echoid-s17056" xml:space="preserve">quare planetæ ibi oriuntur, & </s>
            <s xml:id="echoid-s17057" xml:space="preserve">occidunt, non ratione motus diurni, ſed proprij. </s>
            <s xml:id="echoid-s17058" xml:space="preserve">vnde Sol ſupra horizonrem
              <lb/>
            perpetuo moratur dum obit ſex ſigna conſpicua, moueturq; </s>
            <s xml:id="echoid-s17059" xml:space="preserve">primo radendo horizontem, pararelloſque ei,
              <lb/>
            vel potius ſpiras quotidie altiores deſcribendo. </s>
            <s xml:id="echoid-s17060" xml:space="preserve">quocirca ibi eſt dies vna, & </s>
            <s xml:id="echoid-s17061" xml:space="preserve">nox vna tantum in toto anno,
              <lb/>
            vtraque conſtans ſex menſibus. </s>
            <s xml:id="echoid-s17062" xml:space="preserve">aduertendum tamen eſt in eo Zodiaci ſemicirculo, in quo eſt apogæum So-
              <lb/>
            lis Solem immorari ſeptem diebus amplius, quam in altero; </s>
            <s xml:id="echoid-s17063" xml:space="preserve">ideo vel dies, vel nox longior erit ſeptem diebus
              <lb/>
            nocte, vel die. </s>
            <s xml:id="echoid-s17064" xml:space="preserve">quod ſi in partem vulgo crepuſculum computemus, erit dies continuus per nouem menſes, & </s>
            <s xml:id="echoid-s17065" xml:space="preserve">
              <lb/>
            amplius. </s>
            <s xml:id="echoid-s17066" xml:space="preserve">Sol enim crepuſculum efficit exiſtens infra horizontem gr. </s>
            <s xml:id="echoid-s17067" xml:space="preserve">18. </s>
            <s xml:id="echoid-s17068" xml:space="preserve">quia vero 21. </s>
            <s xml:id="echoid-s17069" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s17070" xml:space="preserve">Scorpij, & </s>
            <s xml:id="echoid-s17071" xml:space="preserve">9. </s>
            <s xml:id="echoid-s17072" xml:space="preserve">Aqua-
              <lb/>
            rij declinant gr. </s>
            <s xml:id="echoid-s17073" xml:space="preserve">18. </s>
            <s xml:id="echoid-s17074" xml:space="preserve">ab æquatore, & </s>
            <s xml:id="echoid-s17075" xml:space="preserve">proinde etiam ab hoc horizonte, ideo in tota Libra vſq; </s>
            <s xml:id="echoid-s17076" xml:space="preserve">ad gr. </s>
            <s xml:id="echoid-s17077" xml:space="preserve">21. </s>
            <s xml:id="echoid-s17078" xml:space="preserve">Scor-
              <lb/>
            pij; </s>
            <s xml:id="echoid-s17079" xml:space="preserve">& </s>
            <s xml:id="echoid-s17080" xml:space="preserve">a 9. </s>
            <s xml:id="echoid-s17081" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s17082" xml:space="preserve">Aquarij per totos Piſces, fiet crepuſculum, quod tempus erit trium menſium, dierum 12. </s>
            <s xml:id="echoid-s17083" xml:space="preserve">die@
              <lb/>
            igitur artificialis vulgaris erit menſium 9. </s>
            <s xml:id="echoid-s17084" xml:space="preserve">dierum 12. </s>
            <s xml:id="echoid-s17085" xml:space="preserve">imo ſi etiam refractionis ratio habeatur, quæ Solem ſu-
              <lb/>
            pra horizontem eleuat, antequam reuera eum conſcendat, dies erunt longiores, crepuſcula vero breuiora. </s>
            <s xml:id="echoid-s17086" xml:space="preserve">
              <lb/>
            Aequinoctium hic propriè nullum; </s>
            <s xml:id="echoid-s17087" xml:space="preserve">quamuis dici poſſit eſſe ibi perpetuum, quia nox illa eſt ſemper ferè diei
              <lb/>
            æqualis, cum vterque ſit ferè ſex menſium. </s>
            <s xml:id="echoid-s17088" xml:space="preserve">habent duo ſolſtitia, vt alij. </s>
            <s xml:id="echoid-s17089" xml:space="preserve">quatuor etiam anni tempora perſenti-
              <lb/>
            ſcunt. </s>
            <s xml:id="echoid-s17090" xml:space="preserve">ab vmbris dicuntur periſcij, ideſt, circumumbræ; </s>
            <s xml:id="echoid-s17091" xml:space="preserve">cum enim Sol circa horizontem æquidiſtanter ſem-
              <lb/>
            per gyret, vmbræ quoque in gyrum quoquouerſus proijcientur. </s>
            <s xml:id="echoid-s17092" xml:space="preserve">Luna per dies 14 {1/2} ſupra horizontem exi-
              <lb/>
            ſtit. </s>
            <s xml:id="echoid-s17093" xml:space="preserve">Venus, & </s>
            <s xml:id="echoid-s17094" xml:space="preserve">Mercurius Solem comitantur. </s>
            <s xml:id="echoid-s17095" xml:space="preserve">Mars conſpicitur per menſes ferè 10. </s>
            <s xml:id="echoid-s17096" xml:space="preserve">@upiter per annos ferè 6. </s>
            <s xml:id="echoid-s17097" xml:space="preserve">
              <lb/>
            Saturnus per 15. </s>
            <s xml:id="echoid-s17098" xml:space="preserve">ac per tautumdem temporum latent poſtea.</s>
            <s xml:id="echoid-s17099" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
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