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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        <div xml:id="echoid-div124" type="section" level="1" n="82">
          <pb o="63" file="0083" n="87"/>
        </div>
        <div xml:id="echoid-div133" type="section" level="1" n="83">
          <head xml:id="echoid-head90" xml:space="preserve">LIBER OCTAVVS</head>
          <head xml:id="echoid-head91" xml:space="preserve">DE CÆLO VNIVERSE@.</head>
          <head xml:id="echoid-head92" style="it" xml:space="preserve">De loco Calestis regionis. Cap. I.</head>
          <p>
            <s xml:id="echoid-s6201" xml:space="preserve">MAnifeſtum eſt locum huius nobiliſſimæ Mundi partis eſſe pariter nobiliſſimum, altiſſimum
              <lb/>
            videlicet ac ſupra cæteras Mundi partes Elementares, quandoquidem hæc ſuprema pars to-
              <lb/>
            tam illam intra ſe, veluti proprio ſinu complectitur atque circundat, ex quouis namque ter-
              <lb/>
            ræ loco videmus cæleſtia corpora, luminaria nempè, & </s>
            <s xml:id="echoid-s6202" xml:space="preserve">ſydera omnia ſupra hanc infimam.
              <lb/>
            </s>
            <s xml:id="echoid-s6203" xml:space="preserve">Mundi portionem circumferri.</s>
            <s xml:id="echoid-s6204" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div134" type="section" level="1" n="84">
          <head xml:id="echoid-head93" style="it" xml:space="preserve">De Cæli figura. Cap. II.</head>
          <p>
            <s xml:id="echoid-s6205" xml:space="preserve">PErſpicuum quoque ex præmiſſis, tum de figura Sphæræ Elementaris, tum de figura totius Mundi eſſe
              <lb/>
            poteſt Cæli figuram eſſe orbem. </s>
            <s xml:id="echoid-s6206" xml:space="preserve">habet enim ſupremam; </s>
            <s xml:id="echoid-s6207" xml:space="preserve">ac conuexam ſuperficiem ſphæricam, quæ eſt
              <lb/>
            eadem cum totius vniuerſi figura, quam ſphæricam eſſe iam probauimus. </s>
            <s xml:id="echoid-s6208" xml:space="preserve">habet etiam concauam, quæ con-
              <lb/>
            uexam ſphæræ ſublunaris contingit, quam itidem ſphæricam eſſe oſtendimus. </s>
            <s xml:id="echoid-s6209" xml:space="preserve">vnde ſequitur illud quoque
              <lb/>
            concauum, quod huic congruit, & </s>
            <s xml:id="echoid-s6210" xml:space="preserve">coaptatur eſſe pariter ſphæricum. </s>
            <s xml:id="echoid-s6211" xml:space="preserve">cum ergo pars hæc cæleſtis binis ter-
              <lb/>
            @inetur ſuperficiebus conuexa, & </s>
            <s xml:id="echoid-s6212" xml:space="preserve">concaua, figura orbiculari prædicta ſit oportet.</s>
            <s xml:id="echoid-s6213" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6214" xml:space="preserve">Idem ex motibus, quibus reuoluitur conſtare poteſt, ſunt enim vt ſenſus teſtatur, & </s>
            <s xml:id="echoid-s6215" xml:space="preserve">mox dicemus, circu-
              <lb/>
            lares & </s>
            <s xml:id="echoid-s6216" xml:space="preserve">ſphærici, quique orbiculari figuræ maxime competant.</s>
            <s xml:id="echoid-s6217" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div135" type="section" level="1" n="85">
          <head xml:id="echoid-head94" style="it" xml:space="preserve">De Cæli motibus. Cap. III.</head>
          <p>
            <s xml:id="echoid-s6218" xml:space="preserve">IN cęleſti regione motum exiſtere, vel vulgo manifeſtum eſt; </s>
            <s xml:id="echoid-s6219" xml:space="preserve">cum omnes Planetas, ac ſydera perpetuo cir-
              <lb/>
            cumagi videamus. </s>
            <s xml:id="echoid-s6220" xml:space="preserve">quis tamen ſit eorum motus, quaque ratione fiat, haud ita facile eſt explicatu. </s>
            <s xml:id="echoid-s6221" xml:space="preserve">Eſt enim
              <lb/>
            hac ſyderum gyratio non ſimplex motus circularis, quo per eundem ſemper gyrum recurrãt, ſed eſt motus,
              <lb/>
            vt opinantur mixtus, non perfectè circularis, ſed ſpir@lis, ac ſphæricus. </s>
            <s xml:id="echoid-s6222" xml:space="preserve">ſpiræ autem ſunt reuolutiones, ſeu
              <lb/>
            glomerationes, quæ in ſe ipſas non recurrunt. </s>
            <s xml:id="echoid-s6223" xml:space="preserve">talis eſt linea, ſeu reuolutio torcularis, quam & </s>
            <s xml:id="echoid-s6224" xml:space="preserve">helicem, & </s>
            <s xml:id="echoid-s6225" xml:space="preserve">co-
              <lb/>
            chleam ob ſimilitudinem appellant. </s>
            <s xml:id="echoid-s6226" xml:space="preserve">talem etiam ſpiram efficit ductarius ſucculæ funis: </s>
            <s xml:id="echoid-s6227" xml:space="preserve">is enim ab vna ſuc-
              <lb/>
            culæ parte per ſucculam ſpiratim agglomeratur, ideſt, gyris vno poſt alterum ſucceſſiuè, vſque ad alterum
              <lb/>
            extremum procedentibus; </s>
            <s xml:id="echoid-s6228" xml:space="preserve">vnde iterum reflexa conuolutione ad priorem partem reuertitur. </s>
            <s xml:id="echoid-s6229" xml:space="preserve">Porrò hæſpi-
              <lb/>
            @ales lineæ
              <unsure/>
            , à locis in quibus deſcr buntur denominantur; </s>
            <s xml:id="echoid-s6230" xml:space="preserve">ſic ea quæ in cylindri ſuperficie ducitur, cylindri-
              <lb/>
            ca ſpira cognominatur; </s>
            <s xml:id="echoid-s6231" xml:space="preserve">qualis eſt torculi cochlea: </s>
            <s xml:id="echoid-s6232" xml:space="preserve">quæ vero in conica ſuperficie, dicitur conica, vti ferè in li-
              <lb/>
            macum teſtis apparent. </s>
            <s xml:id="echoid-s6233" xml:space="preserve">quæ in ſphærica ſuperficie ſpiralis ſphærica nuncupatur, quales eſſe etiam oportet
              <lb/>
            eas, quas Planetæ præcipuè deſcribunt, ipſorum enim motus ſphærici, ac ſpirales exiſtunt. </s>
            <s xml:id="echoid-s6234" xml:space="preserve">id enim manife-
              <lb/>
            ſte apparet in luminaribus Sole, videlicet ac Luna, ac reliquis Planetis; </s>
            <s xml:id="echoid-s6235" xml:space="preserve">ij enim conſpiciuntur ab vno ad al-
              <lb/>
            terum Tropicũ vltro citroque continuo per continuas ſpiras remeare. </s>
            <s xml:id="echoid-s6236" xml:space="preserve">ſic videmus Solem hyeme ſecus Ca-
              <lb/>
            pricorni Tropicum incedere; </s>
            <s xml:id="echoid-s6237" xml:space="preserve">deinde ſenſim, ac ſpiratim altius ferri, ac proinde quotidie ſupra horizontem
              <lb/>
            eleuari, noſtroque vertici appropinquare, quouſque Cancri tropen attingat; </s>
            <s xml:id="echoid-s6238" xml:space="preserve">vnde iterum aliam ſpiram re-
              <lb/>
            texendo ad brumalem tropen relabitur. </s>
            <s xml:id="echoid-s6239" xml:space="preserve">hanc ſpiram materialis ſphæræ auxilio rectè percipies hoc modo:
              <lb/>
            </s>
            <s xml:id="echoid-s6240" xml:space="preserve">Soiem illum materialem, quem circulo ſecundi motus affiximus, colloca ſub altero Tropicorum, v.</s>
            <s xml:id="echoid-s6241" xml:space="preserve">g. </s>
            <s xml:id="echoid-s6242" xml:space="preserve">ſub ini-
              <lb/>
            @io Cancri, deinde fac vt tardè ſecundum ſignorum conſequentiã, ideſt, verſus Leonem incedat, eo ſic tardè
              <lb/>
            incedente, fac vt ſimul ea ſphæræ pars quæ primum mobile dicitur, ab oriente in occidentem velociter re-
              <lb/>
            uoluatur: </s>
            <s xml:id="echoid-s6243" xml:space="preserve">videbis enim concurrentibus in vnum duobus hiſce motibus, Solem illum materialem paulatim
              <lb/>
            per lineam ſpiralem verſus Aequatorem, atque alterum Tropicum deuo lui. </s>
            <s xml:id="echoid-s6244" xml:space="preserve">vel ſic, imaginare formicam in
              <lb/>
            Eclyptica tardiſſimè ſecundum ſignorum ſequelam progredi, vti a primo gradu Cancri ad ſecundum, & </s>
            <s xml:id="echoid-s6245" xml:space="preserve">ſic
              <lb/>
            deinceps, qua ſic pergente, interim primum mobile ſuper mundi polis motu diurno, ideſt, ab oriente ad
              <lb/>
            occaſum cito reuoluatur, intelliges enim formicam illam ſpiratim, ac ſenſim ad alteram tropen deſcendere. </s>
            <s xml:id="echoid-s6246" xml:space="preserve">
              <lb/>
            atque hic eſt ille motus mixtus, quo omnes errantes, atque inerrantes ſtellæ prouoluuntur; </s>
            <s xml:id="echoid-s6247" xml:space="preserve">qui etiam ſolet
              <lb/>
            explicari per duos ſimplices motus circulares; </s>
            <s xml:id="echoid-s6248" xml:space="preserve">ſolet enim dici Planeta mouetur motu diurno ab oriente in
              <lb/>
            occidentem ſpatio 24. </s>
            <s xml:id="echoid-s6249" xml:space="preserve">horarum, motu proprio ab occidente in orientem per Zodiacum. </s>
            <s xml:id="echoid-s6250" xml:space="preserve">qui duo motus, qua
              <lb/>
            ratione in vnum eundemq; </s>
            <s xml:id="echoid-s6251" xml:space="preserve">ſpiralem mo@um coaleſcant, exemplis tum ſolis materialis, tum formicæ modò
              <lb/>
            allatis, probè poteſt intelligi.</s>
            <s xml:id="echoid-s6252" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6253" xml:space="preserve">Iam verò præter hos duos partiales motus diurnum ſcilicet, & </s>
            <s xml:id="echoid-s6254" xml:space="preserve">proprium, ſeu primum, & </s>
            <s xml:id="echoid-s6255" xml:space="preserve">ſecundum; </s>
            <s xml:id="echoid-s6256" xml:space="preserve">ſeu
              <lb/>
            primi mobilis, & </s>
            <s xml:id="echoid-s6257" xml:space="preserve">ſecundorum mobilium, ideſt, Planetarum; </s>
            <s xml:id="echoid-s6258" xml:space="preserve">reperitur etiam tertius qui trepidationis, ſeu
              <lb/>
            acceſſus, & </s>
            <s xml:id="echoid-s6259" xml:space="preserve">receſſus dicitur, qui motus non integrum abſoluit circulum, ſed eſt quædam veluti tardiſſima
              <lb/>
            mundi libratio, qua poli Eclypticæ, ac proinde tota cæleſtis regio à Septentrione in Auſtrum, & </s>
            <s xml:id="echoid-s6260" xml:space="preserve">è </s>
          </p>
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