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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    <echo version="1.0RC">
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        <div xml:id="echoid-div45" type="section" level="1" n="28">
          <pb o="22" file="0038" n="38" rhead="De Circulis Sphæræ."/>
          <p>
            <s xml:id="echoid-s2314" xml:space="preserve">Diuiditur primo Zodiacus ab æquatore in duos ſemicirculos, vnum Borealem in quo ſunt ſex ſigna Bo-
              <lb/>
            realia: </s>
            <s xml:id="echoid-s2315" xml:space="preserve">& </s>
            <s xml:id="echoid-s2316" xml:space="preserve">alterum Auſtralem in quo ſunt ſex ſigna Auſtralia.</s>
            <s xml:id="echoid-s2317" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2318" xml:space="preserve">Diuiditur etiam à Coluris in quatuor quadrantes, quorum primus incipit à principio Arietis, eſtq; </s>
            <s xml:id="echoid-s2319" xml:space="preserve">qua-
              <lb/>
            drans Veris: </s>
            <s xml:id="echoid-s2320" xml:space="preserve">Secundus incipit cum Cancro, eſtque Æſtiuus. </s>
            <s xml:id="echoid-s2321" xml:space="preserve">Tertio ab initio Libræ, qui Autumnai
              <unsure/>
            is eſt:
              <lb/>
            </s>
            <s xml:id="echoid-s2322" xml:space="preserve">Quartus a
              <unsure/>
            Caprico@no, hyemique deputatur, dicunturque initia horum quadrantum quatuor puncta Car-
              <lb/>
            dinalia.</s>
            <s xml:id="echoid-s2323" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2324" xml:space="preserve">Diuiditur 3. </s>
            <s xml:id="echoid-s2325" xml:space="preserve">in 6. </s>
            <s xml:id="echoid-s2326" xml:space="preserve">ſigna phyſica: </s>
            <s xml:id="echoid-s2327" xml:space="preserve">ſignum autem phyſicum eſt ſexta pars Zodiaci; </s>
            <s xml:id="echoid-s2328" xml:space="preserve">& </s>
            <s xml:id="echoid-s2329" xml:space="preserve">dicitur phyſicum, ſeu
              <lb/>
            naturale, quod naturaliter, ideſt, ſine vllo artificio circulus omnes diuidatur in partes, 6. </s>
            <s xml:id="echoid-s2330" xml:space="preserve">eadem nimirum
              <lb/>
            circini apertura, qua ipſe circulus deſcriptus fuerit.</s>
            <s xml:id="echoid-s2331" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2332" xml:space="preserve">Diuiditur 4. </s>
            <s xml:id="echoid-s2333" xml:space="preserve">in 12. </s>
            <s xml:id="echoid-s2334" xml:space="preserve">ſigna communia, quorum ſingula continent gr. </s>
            <s xml:id="echoid-s2335" xml:space="preserve">30. </s>
            <s xml:id="echoid-s2336" xml:space="preserve">quare ſignum vnum ex his, erit in
              <lb/>
            primo mob@@i ſuperficies quadrangula longa gr. </s>
            <s xml:id="echoid-s2337" xml:space="preserve">30. </s>
            <s xml:id="echoid-s2338" xml:space="preserve">lata ve ò 12. </s>
            <s xml:id="echoid-s2339" xml:space="preserve">hanc porro diuiſionem in 12. </s>
            <s xml:id="echoid-s2340" xml:space="preserve">ſigna, primus
              <lb/>
            excogitauit Cleoſtratus: </s>
            <s xml:id="echoid-s2341" xml:space="preserve">anno ante Chriſti natiuitatem fe@è 700. </s>
            <s xml:id="echoid-s2342" xml:space="preserve">vt patet ex noſtra c@arorum Mathemati-
              <lb/>
            corum Chronologia. </s>
            <s xml:id="echoid-s2343" xml:space="preserve">Ordo autem horum ſignorum eſt, vt initium ſuman@ à communi ſectione æquatoris,
              <lb/>
            Coluri Æquinoctiorum, & </s>
            <s xml:id="echoid-s2344" xml:space="preserve">ipſius Eclyp@icæ procedendo Orientem verſus, ita vt primum ſit Aries, ſecun-
              <lb/>
            dum Taurus, tertium Gemini, & </s>
            <s xml:id="echoid-s2345" xml:space="preserve">ſic deinceps: </s>
            <s xml:id="echoid-s2346" xml:space="preserve">qui proceſius dicitur ſucceſſio, & </s>
            <s xml:id="echoid-s2347" xml:space="preserve">conſequentia ſignorum; </s>
            <s xml:id="echoid-s2348" xml:space="preserve">cui
              <lb/>
            contrarius proceſſus dicitur præcedentia ſignorum. </s>
            <s xml:id="echoid-s2349" xml:space="preserve">merito autem Aſtronomi inde ſumpſerunt initium,
              <lb/>
            quia Sole illuc appetente, Ver incipit, quæ prima anni veluti iuuentus eſt, quæque plantas omnes, atque
              <lb/>
            animalia omnia quaſi rediuiua iterum reſtaurat. </s>
            <s xml:id="echoid-s2350" xml:space="preserve">ab hoc etiam tempore omnes ferè nationes anni exordium
              <lb/>
            ſumpſerunt; </s>
            <s xml:id="echoid-s2351" xml:space="preserve">atque ab eodem mundiipſius ortum, atque creationem extitiſſe, complures S S. </s>
            <s xml:id="echoid-s2352" xml:space="preserve">Patrum exi-
              <lb/>
            ſtimarunt.</s>
            <s xml:id="echoid-s2353" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2354" xml:space="preserve">Diuiditur 5. </s>
            <s xml:id="echoid-s2355" xml:space="preserve">à Coluro ſolſtitiorum in duos ſemicirculos, quorum alter, qui à Capricorno, vſque ad Can-
              <lb/>
            crum pertinet dicitur aſcendens, quia in noſtra Sphæra obliqua dum Planetæ eum motu proprio obambu-
              <lb/>
            lant, quotidie magis ad noſtrum verticem accedunt, magiſq; </s>
            <s xml:id="echoid-s2356" xml:space="preserve">ſupra horizontem elati incedunt, ſeu diurnas
              <lb/>
            reuolutiones, ſeu ſpiras quotidie vertici noſtro proximiores deſcribunt. </s>
            <s xml:id="echoid-s2357" xml:space="preserve">alter verò qui à
              <unsure/>
            Cancro, vſque ad
              <lb/>
            Capricornum reuertitur, ob contrarias rationes dicitur deſcendens.</s>
            <s xml:id="echoid-s2358" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2359" xml:space="preserve">Porrò difficile eſt ipſius in mundo poſitionem veram concipere, nullam enim certam habet ſituationem,
              <lb/>
            non enim vt nonnulli mobiles circu@@ in eodem ſemper loco gyratur, ſed ob diurnam conuerſionem perpe-
              <lb/>
            tuo locum mutat, atque tranſuerſim, ſuper alienos polos videlicet æquatoris, torquetur. </s>
            <s xml:id="echoid-s2360" xml:space="preserve">quem motum de-
              <lb/>
            bes diligenter in Sphæra materiali contemplari. </s>
            <s xml:id="echoid-s2361" xml:space="preserve">hanc tam@n ipſius ſucceſſiuam, & </s>
            <s xml:id="echoid-s2362" xml:space="preserve">variam ſituationem, ſic
              <lb/>
            poſſumus interdiu reperire: </s>
            <s xml:id="echoid-s2363" xml:space="preserve">collocetur Sphæra Aſtronomicè vt in meridiano docui, in loco tamen à
              <unsure/>
            Sole
              <lb/>
            colluſtrato: </s>
            <s xml:id="echoid-s2364" xml:space="preserve">poſtea ſi Sol eſt in Zodiaci ſemicirculo aſcendente, motu diurno moueatur pars illa Sphæræ,
              <lb/>
            quam ſupra primum mobile appellauimus, ita vt prædictus ſemicirculus Soli obuertatur, ac diligenter huc
              <lb/>
            illuc verſetur, donec vmbra ipſius præcisè obumbret alterum ei oppoſitum ſemicirculum; </s>
            <s xml:id="echoid-s2365" xml:space="preserve">ſi vero fuerit Sol
              <lb/>
            in ſemicirculo deſcendente, idem proportionaliter faciendum eſt, quo facto inuenta erit illa Zodiaci poſi-
              <lb/>
            tio inſtantanea: </s>
            <s xml:id="echoid-s2366" xml:space="preserve">Zodiacus enim Cæli, Zodiaco materiali exactè reſpond bit, vel hic ſuo ſitu illum repręſen-
              <lb/>
            tabit. </s>
            <s xml:id="echoid-s2367" xml:space="preserve">Noctu verò id difficilius eſt: </s>
            <s xml:id="echoid-s2368" xml:space="preserve">ſi tamen quis conſtellationem Zodiaci quampiam in Cęlo cognoſcit, ei
              <lb/>
            ita obuertat ſignum, quod illi cognomen eſt in Sphæra materiali, vt materiale ſit aliquanto occidentalius;
              <lb/>
            </s>
            <s xml:id="echoid-s2369" xml:space="preserve">ſic enim aliquo modo Zodiacus materialis cæleſtem t@bi repræſentabit. </s>
            <s xml:id="echoid-s2370" xml:space="preserve">cur autem ſigna Sphæræ materialis
              <lb/>
            debeant eſſe occidentaliora cæleſtibus dicetur ſuo loco de ſtellis.</s>
            <s xml:id="echoid-s2371" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2372" xml:space="preserve">Zodiaci autem, & </s>
            <s xml:id="echoid-s2373" xml:space="preserve">Eclypticæ munia hæc ſunt. </s>
            <s xml:id="echoid-s2374" xml:space="preserve">Primum eſt regula, & </s>
            <s xml:id="echoid-s2375" xml:space="preserve">menſura motus ſecundi, ideſt, mo-
              <lb/>
            tuum Planetarum, de quo dudum diximus, in Zodiaco enim computamus motus proprios ſingulorum Pla-
              <lb/>
            netarum, & </s>
            <s xml:id="echoid-s2376" xml:space="preserve">Stellarum etiam fixarum, quoniam ſecundum eius longitudinem, & </s>
            <s xml:id="echoid-s2377" xml:space="preserve">ſecundum ſignorum con-
              <lb/>
            ſequentiam in eo progrediuntur; </s>
            <s xml:id="echoid-s2378" xml:space="preserve">tantum enim dicimus Planetam profeciſſe, quantũ ab initio Arietis, quod
              <lb/>
            eſt Zodiaci initium, rece@@erit ſecundum ſignorum ordinem. </s>
            <s xml:id="echoid-s2379" xml:space="preserve">ſicuti æquator menſurat diurnum, & </s>
            <s xml:id="echoid-s2380" xml:space="preserve">primum
              <lb/>
            motum, ſic Zodiacus metitur Planetarum proprium, & </s>
            <s xml:id="echoid-s2381" xml:space="preserve">ſecundum.</s>
            <s xml:id="echoid-s2382" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2383" xml:space="preserve">2 Ex prædicto officio oritur ſecundum, quo Aſtronomi longitudinem ſyderum determinant. </s>
            <s xml:id="echoid-s2384" xml:space="preserve">Eſt enim
              <lb/>
            longitudo ſyderis arcus Eclypticæ ab initio Arietis inchoatus, & </s>
            <s xml:id="echoid-s2385" xml:space="preserve">ſecundum ſignorum ſequelam computa-
              <lb/>
            tus, vſq; </s>
            <s xml:id="echoid-s2386" xml:space="preserve">ad circulum maximum, qui per polos Eclypticæ, & </s>
            <s xml:id="echoid-s2387" xml:space="preserve">propoſitam ſtellam pertranſit, v.</s>
            <s xml:id="echoid-s2388" xml:space="preserve">g. </s>
            <s xml:id="echoid-s2389" xml:space="preserve">Stellæ quæ
              <lb/>
            ſunt in Coluro ſolſtitiorum, habebunt longitudinem 90. </s>
            <s xml:id="echoid-s2390" xml:space="preserve">graduum, quia hic Colurus tranſit per polos Ecly-
              <lb/>
            pticæ, & </s>
            <s xml:id="echoid-s2391" xml:space="preserve">Stellas, Planetaſuè in ipſo ex@@ten@es, & </s>
            <s xml:id="echoid-s2392" xml:space="preserve">di@@at a @rincipio Zodiaci gr. </s>
            <s xml:id="echoid-s2393" xml:space="preserve">90. </s>
            <s xml:id="echoid-s2394" xml:space="preserve">dicitur autem hæc diſtan-
              <lb/>
            tia longitudo, quia ſumitur penes Zodiaci longitudinem, & </s>
            <s xml:id="echoid-s2395" xml:space="preserve">circuli illi max@mi, qui eam terminant, dicũtur
              <lb/>
            circuli @atitud@num, quia præcipuum eorum munus eſt exhibere ſyderum latitudines, nam</s>
          </p>
          <p>
            <s xml:id="echoid-s2396" xml:space="preserve">3 Eclyptica eſt terminus a quo latitudines ſyderum computantur. </s>
            <s xml:id="echoid-s2397" xml:space="preserve">eſt autem latitudo ſtellarum diſtan-
              <lb/>
            tia ipſarum ab Eclyptica verſus alterutrum poloru
              <unsure/>
            m ipſius, accepta in circulo latitudinis, de quo antea di-
              <lb/>
            ctum eſt. </s>
            <s xml:id="echoid-s2398" xml:space="preserve">vel eſt arcus circuli maximi per polos Eclypticę, & </s>
            <s xml:id="echoid-s2399" xml:space="preserve">ſtellam incedentis inter Eclypticam, & </s>
            <s xml:id="echoid-s2400" xml:space="preserve">ſtellam
              <lb/>
            interiectus. </s>
            <s xml:id="echoid-s2401" xml:space="preserve">dicta eſt autem latitudo, quia ſumitur ſecundum Zodiaci latitudinem, & </s>
            <s xml:id="echoid-s2402" xml:space="preserve">eſt duplex Borealis, & </s>
            <s xml:id="echoid-s2403" xml:space="preserve">
              <lb/>
            Auſtralis, nam</s>
          </p>
          <p>
            <s xml:id="echoid-s2404" xml:space="preserve">4 Eclyptica diuidit totum mundum in duo hemiſphæria Boreale, & </s>
            <s xml:id="echoid-s2405" xml:space="preserve">Auſtrale, quemadmodum etiam
              <lb/>
            æquator. </s>
            <s xml:id="echoid-s2406" xml:space="preserve">vnde fit vt eadem puncta,
              <unsure/>
            quæ inter Ec@ypticam, & </s>
            <s xml:id="echoid-s2407" xml:space="preserve">æquatorem exiſtunt, ſint reſpectu Eclypticæ
              <lb/>
            Auſtralia, reſpectu verò æquatoris Borealia, vel è contra.</s>
            <s xml:id="echoid-s2408" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2409" xml:space="preserve">5 In Eclyptica a@@ignantur omnium ſtellarum loca, etiamſi valdè diſtent ab ea; </s>
            <s xml:id="echoid-s2410" xml:space="preserve">nam quæuis ſtella dici-
              <lb/>
            @ur eſſe in eo Eclypticæ gradu, per quem circulis latitud nis eiuſdem ſteliæ incedit: </s>
            <s xml:id="echoid-s2411" xml:space="preserve">v. </s>
            <s xml:id="echoid-s2412" xml:space="preserve">g. </s>
            <s xml:id="echoid-s2413" xml:space="preserve">ſtellæ omnes, quæ
              <lb/>
            @unt in Coluro ſolſtitiorum dicuntur eſſe in primo gradu Cancri, dummodo ſia
              <unsure/>
            t in eo Coluri </s>
          </p>
        </div>
      </text>
    </echo>
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