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-div223" type="section" level="1" n="143">
          <p>
            <s xml:id="echoid-s10787" xml:space="preserve">
              <pb o="107" file="0127" n="131" rhead="Liber Decimus."/>
            lis ad occaſum non reperiretur, fore vt in Occidente oriretur, tendenſq; </s>
            <s xml:id="echoid-s10788" xml:space="preserve">ad Orientem, ſpatio ſex menſium, ſu-
              <lb/>
            pra noſtrũ Horizontem moraretur, donectandem in Oriente occideret:</s>
            <s xml:id="echoid-s10789" xml:space="preserve">ij tamen qui ſub polis eclyp@cæ de-
              <lb/>
            gunt, eum perpetuò horizontis ſui limbum circuire circumſpicerent.</s>
            <s xml:id="echoid-s10790" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10791" xml:space="preserve">His de motu Solis in eccentrico explicatis, reſtat ad planam motuum c
              <unsure/>
            ius intelligentiam, vt hunc cum a@
              <lb/>
            motibus implicemus, vt ex eorum mixtione, vltimus ipſius motus reſultet. </s>
            <s xml:id="echoid-s10792" xml:space="preserve">debemus igitur nobis ob @
              <lb/>
            ſphæram materialem aſtronomice collocatam ſt
              <unsure/>
            atuere, eccentricumque prædi
              <unsure/>
            ctum imaginari ſub ec@yptica
              <lb/>
            ſitum, Apogæo ſub gr. </s>
            <s xml:id="echoid-s10793" xml:space="preserve">6. </s>
            <s xml:id="echoid-s10794" xml:space="preserve">Cancri ſuppoſito. </s>
            <s xml:id="echoid-s10795" xml:space="preserve">deinde aſſumendus eſt Sol materialis, qui circulo ſecundorum
              <lb/>
            mobilium affixus eſt atque in eo directè ſub eclyptica mouetur. </s>
            <s xml:id="echoid-s10796" xml:space="preserve">Sol igitur hic materialis auxilio illius circuli
              <lb/>
            tardè promoueatur in conſequentia, ſic enim repręſentabit motum Solis in eccentrico: </s>
            <s xml:id="echoid-s10797" xml:space="preserve">dum autem hoc mo-
              <lb/>
            do tardè mouetur, interim ei ſuperueniat motus primi mobilis qui totam illam ſphæræ partẽ, quam primum
              <lb/>
            mobile appellauimus, vna cum Sole materiali ſecum ab ortu in occaſum velociter, ſpatio 24. </s>
            <s xml:id="echoid-s10798" xml:space="preserve">horarum, reuol-
              <lb/>
            uat, minimè interim ceſſante Sole materiali a proprio motu in conſequentia; </s>
            <s xml:id="echoid-s10799" xml:space="preserve">ita vt pro ſingulis primi mobi-
              <lb/>
            lis reuoluntionibus integris, gra. </s>
            <s xml:id="echoid-s10800" xml:space="preserve">vnum ille è contra proficiat in conſequentia. </s>
            <s xml:id="echoid-s10801" xml:space="preserve">idque continenter ſiat, dones
              <unsure/>
              <lb/>
            Sol ille totum Zodiacum graduatim peragrauerit. </s>
            <s xml:id="echoid-s10802" xml:space="preserve">ex his duab. </s>
            <s xml:id="echoid-s10803" xml:space="preserve">motionibus, tertia, & </s>
            <s xml:id="echoid-s10804" xml:space="preserve">vltima neceſſario orie
              <unsure/>
            -
              <lb/>
            tur, quæ ſpiralis erit, Sol enim hac ratione deſcribet, pergendo per Zodiacum ab vno tropico ad alterum, li-
              <lb/>
            neam ſpiralem, ſicuti etiam Luna, quæ ſpira conſtabit ex 182. </s>
            <s xml:id="echoid-s10805" xml:space="preserve">quaſi glomerationibus diurnis. </s>
            <s xml:id="echoid-s10806" xml:space="preserve">Hæc autem ſpi-
              <lb/>
            ra la xior erit ad Apogæum, quam ad Perigæum, quia ibi Sol remotior, quæ hic circunferatur. </s>
            <s xml:id="echoid-s10807" xml:space="preserve">porrò ex hu-
              <lb/>
            ius ſpiræ conſideratione apparebit cur Sol accedat, & </s>
            <s xml:id="echoid-s10808" xml:space="preserve">recedat a vertice; </s>
            <s xml:id="echoid-s10809" xml:space="preserve">cur in varijs horizontis punctis oria-
              <lb/>
            tur, & </s>
            <s xml:id="echoid-s10810" xml:space="preserve">occidat; </s>
            <s xml:id="echoid-s10811" xml:space="preserve">qua ratiop
              <unsure/>
            e quatuor anni tempora nobis attemperet, cur dies, ac noctes alternatim creſcant,
              <lb/>
            & </s>
            <s xml:id="echoid-s10812" xml:space="preserve">decreſcant: </s>
            <s xml:id="echoid-s10813" xml:space="preserve">vnde æquinoctia, ac ſolſtitia oriantur, & </s>
            <s xml:id="echoid-s10814" xml:space="preserve">alia plura.</s>
            <s xml:id="echoid-s10815" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10816" xml:space="preserve">Tandem ex hac contemplatione percipies cur dicatur Sol moueri duobus contrá
              <unsure/>
            rijs motibus ideſt, vno ſpi-
              <lb/>
            rali, qui conflatur ex duobus, ſcilicet ex motu proprio in eccentrico, & </s>
            <s xml:id="echoid-s10817" xml:space="preserve">diurno primi mobilis; </s>
            <s xml:id="echoid-s10818" xml:space="preserve">ſemper tame@
              <lb/>
            Sol occaſui fit propior, quia motus primi mobilis altero velocior eſt.</s>
            <s xml:id="echoid-s10819" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div225" type="section" level="1" n="144">
          <head xml:id="echoid-head156" style="it" xml:space="preserve">COROLLARIVM.</head>
          <p>
            <s xml:id="echoid-s10820" xml:space="preserve">QVot milliaria diurno motu Sol conficit? </s>
            <s xml:id="echoid-s10821" xml:space="preserve">Reſpon. </s>
            <s xml:id="echoid-s10822" xml:space="preserve">Solem in diſtantia à terra mediocri, quam ſtatuimus
              <lb/>
            ſemid. </s>
            <s xml:id="echoid-s10823" xml:space="preserve">terræ 1142. </s>
            <s xml:id="echoid-s10824" xml:space="preserve">peragere milliaria 1,027,800. </s>
            <s xml:id="echoid-s10825" xml:space="preserve">nam cum hæc diſtantia contineat ſemidiametros ter-
              <lb/>
            ræ 142. </s>
            <s xml:id="echoid-s10826" xml:space="preserve">continebit pariter ille Solis circuitus terræ circunferentiam 1142. </s>
            <s xml:id="echoid-s10827" xml:space="preserve">vicibus nam vti eſt diame-
              <lb/>
            ter ad diametrum, ita circunferentiam, ad circunferentiam, cum igitur in terreſtri peripheria contineantur
              <lb/>
            milliaria Aſtronomica 21600, ſi ea multiplicentur per 1142, prodibit 24,667,200, milliariorum ſolaris cir-
              <lb/>
            cuitus, qui diuiſus per 24. </s>
            <s xml:id="echoid-s10828" xml:space="preserve">horas, exhibet milliaria 1,027,800, quæ ſingulis horis Sol percurrit. </s>
            <s xml:id="echoid-s10829" xml:space="preserve">Vtrum Sol as
              <unsure/>
              <lb/>
            Luna ſæpius diurno motu reuoluatur? </s>
            <s xml:id="echoid-s10830" xml:space="preserve">Hactenus de solis motibus.</s>
            <s xml:id="echoid-s10831" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div226" type="section" level="1" n="145">
          <head xml:id="echoid-head157" style="it" xml:space="preserve">De Solaribus Temporibus. Cap. X.</head>
          <p>
            <s xml:id="echoid-s10832" xml:space="preserve">POſt tractationem de Solis motu, proxime ſequitur tractatio de eiuſdem temporibus; </s>
            <s xml:id="echoid-s10833" xml:space="preserve">tempora enim nihil
              <unsure/>
              <lb/>
            aliud ſunt, quam motus quidam, qui ob aliqua accidentia tempeſtatum, aut lucis, & </s>
            <s xml:id="echoid-s10834" xml:space="preserve">tenebrarum, ab alija
              <lb/>
            motibus diſtinguuntur, ob idque euadunt tempora, ideſt, aſſumuntur ad rerum durationes menſuradas, a
              <lb/>
            motu Solis hæc oriuntur tempora, annus, menſis, dies, &</s>
            <s xml:id="echoid-s10835" xml:space="preserve">c.</s>
            <s xml:id="echoid-s10836" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10837" xml:space="preserve">Annus igitur ſicuti in Luna quoque dictum eſt, duplex eſt, Aſtronomicus, & </s>
            <s xml:id="echoid-s10838" xml:space="preserve">Ciuilis. </s>
            <s xml:id="echoid-s10839" xml:space="preserve">de Aſtronomico ſatis
              <lb/>
            dictum ſit in præcedenti cap. </s>
            <s xml:id="echoid-s10840" xml:space="preserve">qui conſtat ex diebus, & </s>
            <s xml:id="echoid-s10841" xml:space="preserve">dierum fractionibus, quæ minimè populis vſui eſſe poſ-
              <lb/>
            ſunt. </s>
            <s xml:id="echoid-s10842" xml:space="preserve">Ciuilis igitur commoditatis cauſa, ex diebus tantummodo integris ab hominibus aſſumptus eſt, fuerunt-
              <lb/>
            que pro diuerſitate gentium, diuerſi quoque anni. </s>
            <s xml:id="echoid-s10843" xml:space="preserve">apud Aſtronomos frequens eſt mentio, & </s>
            <s xml:id="echoid-s10844" xml:space="preserve">vſus annorum
              <lb/>
            Ægyptiorum, qui conſtabant ex diebus 365. </s>
            <s xml:id="echoid-s10845" xml:space="preserve">integris. </s>
            <s xml:id="echoid-s10846" xml:space="preserve">Annus hic diuiſus continebat menſes 12. </s>
            <s xml:id="echoid-s10847" xml:space="preserve">conſtantes
              <lb/>
            ſingulos ex 30. </s>
            <s xml:id="echoid-s10848" xml:space="preserve">diebus, præterea dies quinque; </s>
            <s xml:id="echoid-s10849" xml:space="preserve">qui vltimo menſi, in ſine anni addebantur; </s>
            <s xml:id="echoid-s10850" xml:space="preserve">Additique dice-
              <lb/>
            bantur. </s>
            <s xml:id="echoid-s10851" xml:space="preserve">At nobis de anno Romano, ſeu luliano fuſius dicendum eſt; </s>
            <s xml:id="echoid-s10852" xml:space="preserve">hoc enim Romana quoque Eccleſia, & </s>
            <s xml:id="echoid-s10853" xml:space="preserve">
              <lb/>
            vniuerſus ferè Chriſtianus orbis etiamnum vtitur. </s>
            <s xml:id="echoid-s10854" xml:space="preserve">lulius igitur Cæſar Soſigenijs Aſtronomi opera, annum
              <lb/>
            hunc ordinauit eumque duplicem fecit, alterum communem appellauit, quæ ex diebus tamen 365. </s>
            <s xml:id="echoid-s10855" xml:space="preserve">alterum
              <lb/>
            biſſextilem, qui ex diebus 366. </s>
            <s xml:id="echoid-s10856" xml:space="preserve">conſtaret: </s>
            <s xml:id="echoid-s10857" xml:space="preserve">hoc tamen ordine vt tres anni eſſent continuo communes, quartus
              <lb/>
            vero eſſet biſſextilis, ſeu intercalaris. </s>
            <s xml:id="echoid-s10858" xml:space="preserve">Ratio huius eſt, quia ſecundum rei veritatem, anni ſinguli conſtare de-
              <lb/>
            berent ex diebus 365. </s>
            <s xml:id="echoid-s10859" xml:space="preserve">& </s>
            <s xml:id="echoid-s10860" xml:space="preserve">horis 6. </s>
            <s xml:id="echoid-s10861" xml:space="preserve">ſed quia horæ illæ negotium populo faceſſerent, neque certum anni princi-
              <lb/>
            pium conſtaret, ideo omitti voluit ſex horas ſingulorum trium annorum communium, quæ efficiunt hora@
              <lb/>
            18. </s>
            <s xml:id="echoid-s10862" xml:space="preserve">quas cum 6. </s>
            <s xml:id="echoid-s10863" xml:space="preserve">horis anni quarti biſſextilis componi voluit; </s>
            <s xml:id="echoid-s10864" xml:space="preserve">vt ex illis horis 24. </s>
            <s xml:id="echoid-s10865" xml:space="preserve">dies vnus conflaretur; </s>
            <s xml:id="echoid-s10866" xml:space="preserve">ac quar-
              <lb/>
            to cuique anno adderetur, leu intercalaretur poſt 24. </s>
            <s xml:id="echoid-s10867" xml:space="preserve">diem Februarij. </s>
            <s xml:id="echoid-s10868" xml:space="preserve">quoniam verò hæc dies intercalatis non
              <lb/>
            crat in Calendario ſcripta, ſed mente tantum addebatur, ideo 24. </s>
            <s xml:id="echoid-s10869" xml:space="preserve">dies bis repetebatur ſeu vt tunc moris erat
              <lb/>
            dicebatur bis, ſexto Calendas Martij, vnde annus, & </s>
            <s xml:id="echoid-s10870" xml:space="preserve">biſſextum denominatum eſt. </s>
            <s xml:id="echoid-s10871" xml:space="preserve">Ita autem horum anno-
              <lb/>
            rum ſeries cum annis Chriſti incidit, vt tres primi anni a Chriſti natiuitate eſſent communes, quartus autem
              <lb/>
            eſſet biſſextilis; </s>
            <s xml:id="echoid-s10872" xml:space="preserve">ſicque quartus quiſque annus a Chriſt
              <unsure/>
            i natiuitate ſemper adhuc eſt biſſextilis@. </s>
            <s xml:id="echoid-s10873" xml:space="preserve">pręter nonnul-
              <lb/>
            los à correctione Calendarij exceptos, de quare poſtea dicendum erit.</s>
            <s xml:id="echoid-s10874" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10875" xml:space="preserve">Porrò Iulianus hic annus ita in Calendario in menſes diſtributus eſt, vt æquinoctia, & </s>
            <s xml:id="echoid-s10876" xml:space="preserve">ſolſtitia certis men-
              <lb/>
            ſium diebus perpetuo aſ
              <unsure/>
            ſ
              <unsure/>
            ixa eſſe deberent v. </s>
            <s xml:id="echoid-s10877" xml:space="preserve">g. </s>
            <s xml:id="echoid-s10878" xml:space="preserve">æquinectium vernum 21. </s>
            <s xml:id="echoid-s10879" xml:space="preserve">di
              <unsure/>
            ei Martij. </s>
            <s xml:id="echoid-s10880" xml:space="preserve">affixum erat; </s>
            <s xml:id="echoid-s10881" xml:space="preserve">cui diei
              <lb/>
            etiam à Nicęno Concilio (quod anno Chriſti 325. </s>
            <s xml:id="echoid-s10882" xml:space="preserve">celebratum eſt) affixum fuerat. </s>
            <s xml:id="echoid-s10883" xml:space="preserve">quod fieret, vt varia </s>
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