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-div141" type="section" level="1" n="89">
          <p>
            <s xml:id="echoid-s6837" xml:space="preserve">
              <pb o="70" file="0090" n="94" rhead="De Mundi Fabrica,"/>
            Hinc rellqua quoque excuſantur phænomena; </s>
            <s xml:id="echoid-s6838" xml:space="preserve">aliquando enim Luna maior videtur, ita vt eius apparens dia-
              <lb/>
            meter ſit 36. </s>
            <s xml:id="echoid-s6839" xml:space="preserve">min. </s>
            <s xml:id="echoid-s6840" xml:space="preserve">quod ei accidit quod ſit in perigæo E. </s>
            <s xml:id="echoid-s6841" xml:space="preserve">oculis noſtris propior. </s>
            <s xml:id="echoid-s6842" xml:space="preserve">aliquando minor videtur mi-
              <lb/>
            nutorum ſcilicet 32. </s>
            <s xml:id="echoid-s6843" xml:space="preserve">quia videlicet remotior eſt in C. </s>
            <s xml:id="echoid-s6844" xml:space="preserve">Apogæo. </s>
            <s xml:id="echoid-s6845" xml:space="preserve">Aliquando mediocris apparet in punctis ni-
              <lb/>
            mirum F D. </s>
            <s xml:id="echoid-s6846" xml:space="preserve">mediæ remotionis.</s>
            <s xml:id="echoid-s6847" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6848" xml:space="preserve">Non mireris quæſo lector ſi aliũ minorem epicyclũ huic noſtro epicyclo non ſuperaddo, illũ enim de in-
              <lb/>
            duſtria omitto, ne videlicet longior, atque impeditior hæc euadat tractatio, quam inſtituto conueniat. </s>
            <s xml:id="echoid-s6849" xml:space="preserve">neque
              <lb/>
            enim ſphæræ ſcriptores minutiſſima quæque perſequi debent: </s>
            <s xml:id="echoid-s6850" xml:space="preserve">nobis autem ſatis eſt præcipua, ac pulchriora
              <lb/>
            perſequi. </s>
            <s xml:id="echoid-s6851" xml:space="preserve">Præterea moneo te vt parum ſolicitus ſis de fabrica horum circulorum, epicyclorum, aut eccen-
              <lb/>
            tricorum; </s>
            <s xml:id="echoid-s6852" xml:space="preserve">num videlicet ſint orbes reales ab inuicem diſtincti, num duri, aut teneri, & </s>
            <s xml:id="echoid-s6853" xml:space="preserve">an cælum Lunæ mo-
              <lb/>
            uea tur cum Luna, an Luna ſine ipſo, & </s>
            <s xml:id="echoid-s6854" xml:space="preserve">alia huiuſmodi, quæſatius eſt fateri nos ignorare, quam fabuloſam
              <lb/>
            quandam Philoſophiam iunioribus tradere. </s>
            <s xml:id="echoid-s6855" xml:space="preserve">Ptolemæus Aſtronomorum princeps, quem ſequuntur Coper.
              <lb/>
            </s>
            <s xml:id="echoid-s6856" xml:space="preserve">& </s>
            <s xml:id="echoid-s6857" xml:space="preserve">Tycho ſummi pariter aſtronomi; </s>
            <s xml:id="echoid-s6858" xml:space="preserve">totam cælorum fabricam per ſolas lineas tradidit, ideſt, per ſolos circu-
              <lb/>
            los, ſola centra, abſque vlla eorum craſſitie, aut duritie, motus ſyderum explicauit; </s>
            <s xml:id="echoid-s6859" xml:space="preserve">eaſque res hypotheſes ap-
              <lb/>
            pellauit. </s>
            <s xml:id="echoid-s6860" xml:space="preserve">Quaproter toti eſſe debemus in ipſorum planetarũ, & </s>
            <s xml:id="echoid-s6861" xml:space="preserve">affixarum accidentibus diſquirendis, hoc eſt
              <lb/>
            enim verum, ac præcipuum aſtronomiæ ſtudium.</s>
            <s xml:id="echoid-s6862" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6863" xml:space="preserve">Sed iterum in motu Lunæ pergamus. </s>
            <s xml:id="echoid-s6864" xml:space="preserve">Imaginati hactenus ſumus Lunam moueri duplici motu, altero
              <lb/>
            quem diximus anomaliæ in peripheria epicycli neceſſe igitur eſt, vt tertius ex his duobus reſultet motus, cũ
              <lb/>
            impoffibile ſit, idem corpus moueri pluribus ab inuicem reapſe diſtinctis motibus, niſi in vnũ mixtum coale-
              <lb/>
            ſcant. </s>
            <s xml:id="echoid-s6865" xml:space="preserve">hunc in re præſenti ſic concipiemus, ſi conſideremus quod quando eſt in apogæo magis diſtat à cẽtro,
              <lb/>
            quam in perigeo, in medijs locis proportionaliter ſe habeat; </s>
            <s xml:id="echoid-s6866" xml:space="preserve">quare Luna ipſa, hac ratione, deſcribit circulum
              <lb/>
            mundo eccentricum, ideſt, cuius centrum eſt extra centrum mundi, talem eccentricum in figura refert linea
              <lb/>
            C H I K L. </s>
            <s xml:id="echoid-s6867" xml:space="preserve">quod benè ſic percipiemus; </s>
            <s xml:id="echoid-s6868" xml:space="preserve">ponamus Lunam initio vtriuſque motus eſſe in Apogæo C. </s>
            <s xml:id="echoid-s6869" xml:space="preserve">dum igi-
              <lb/>
            tur B. </s>
            <s xml:id="echoid-s6870" xml:space="preserve">mouetur per ſuam Lunares orbitam in conſequentia, interim Luna ab Apogæo deſcendit verſus D.
              <lb/>
            </s>
            <s xml:id="echoid-s6871" xml:space="preserve">quare cum B. </s>
            <s xml:id="echoid-s6872" xml:space="preserve">fuerit apud H. </s>
            <s xml:id="echoid-s6873" xml:space="preserve">Luna in epi. </s>
            <s xml:id="echoid-s6874" xml:space="preserve">erit ad D. </s>
            <s xml:id="echoid-s6875" xml:space="preserve">& </s>
            <s xml:id="echoid-s6876" xml:space="preserve">cum, B. </s>
            <s xml:id="echoid-s6877" xml:space="preserve">fuerit ad G. </s>
            <s xml:id="echoid-s6878" xml:space="preserve">Luna erit ferè in perigæo E. </s>
            <s xml:id="echoid-s6879" xml:space="preserve">quod
              <lb/>
            tunc congruet puncto I. </s>
            <s xml:id="echoid-s6880" xml:space="preserve">cum B. </s>
            <s xml:id="echoid-s6881" xml:space="preserve">fuerit ad K. </s>
            <s xml:id="echoid-s6882" xml:space="preserve">Luna ad F. </s>
            <s xml:id="echoid-s6883" xml:space="preserve">aſcenderit. </s>
            <s xml:id="echoid-s6884" xml:space="preserve">tandem epi. </s>
            <s xml:id="echoid-s6885" xml:space="preserve">ad idem punctum Zodiaci re-
              <lb/>
            uerſo, Luna nondum redierit ad Apogæum, C. </s>
            <s xml:id="echoid-s6886" xml:space="preserve">quia motus eius Anomaliæ ſiue in periphæria epic. </s>
            <s xml:id="echoid-s6887" xml:space="preserve">ſex ferè
              <lb/>
            horis tardior eſt, quàm motus centri. </s>
            <s xml:id="echoid-s6888" xml:space="preserve">epic. </s>
            <s xml:id="echoid-s6889" xml:space="preserve">in conſequentia, ſiue menſe periodico: </s>
            <s xml:id="echoid-s6890" xml:space="preserve">quare abſoluta reuolutione
              <lb/>
            centri B. </s>
            <s xml:id="echoid-s6891" xml:space="preserve">Luna nondum erit in C. </s>
            <s xml:id="echoid-s6892" xml:space="preserve">niſi poſt horas 6. </s>
            <s xml:id="echoid-s6893" xml:space="preserve">circa punctum L. </s>
            <s xml:id="echoid-s6894" xml:space="preserve">ſub quo etiam centrũ B. </s>
            <s xml:id="echoid-s6895" xml:space="preserve">vltra integram
              <lb/>
            periodum proceſſerit; </s>
            <s xml:id="echoid-s6896" xml:space="preserve">quare in L. </s>
            <s xml:id="echoid-s6897" xml:space="preserve">deſinet motus anomaliæ igitur via propria Lunaris corporis in ſua regio-
              <lb/>
            ne erit, C H I K L. </s>
            <s xml:id="echoid-s6898" xml:space="preserve">qua finita alia ſimils deſcribetur. </s>
            <s xml:id="echoid-s6899" xml:space="preserve">quę quidem omnia ita ſe haberent, niſi motus primi mo-
              <lb/>
            bilis, ſiue diurnus Lumæ ſuperueniret. </s>
            <s xml:id="echoid-s6900" xml:space="preserve">imo cũ Meſſahala Arabe notandum eſt, quod ſi Luna prædicto mo-
              <lb/>
            tu ſolum moueretur, ideſt, ſi a diurna cõuerſione non reuolueretur ab oriente in occid. </s>
            <s xml:id="echoid-s6901" xml:space="preserve">videremus primo Lu-
              <lb/>
            nam nouam oriri in occidente, & </s>
            <s xml:id="echoid-s6902" xml:space="preserve">paulatim progredi ad ortum, ita vt per 14. </s>
            <s xml:id="echoid-s6903" xml:space="preserve">ferè dies continuos eam diu, ac
              <lb/>
            noctu ſupra noſtrum finitorem ſpectaremus; </s>
            <s xml:id="echoid-s6904" xml:space="preserve">eamque tandem plenam in oriente contra naturæ leges occide-
              <lb/>
            re. </s>
            <s xml:id="echoid-s6905" xml:space="preserve">ij tamen qui ſub polis Lunaris orbitæ degerent, eam ſemper circa ſuos horizontes gyrare conſpicerent. </s>
            <s xml:id="echoid-s6906" xml:space="preserve">
              <lb/>
            Atque hic eſſet propria Lunæ in ſua regione reuolutio, niſi ei interim diurna reuolutio ſuperueniret, quæ
              <lb/>
            eam, vt videmus omnes, defert ab oriente in occidentem ſpatio ferè 25. </s>
            <s xml:id="echoid-s6907" xml:space="preserve">horarum quamuis enim diurna con-
              <lb/>
            uerſio omnes part@s primi mobilis 24. </s>
            <s xml:id="echoid-s6908" xml:space="preserve">hor. </s>
            <s xml:id="echoid-s6909" xml:space="preserve">perfectè reuoluat, planetæ tamen ob motum proprium, quo in-
              <lb/>
            terim ad orientem feruntur, non omnino primo mobili obtemperant, ſed tanto tardius diurnam conue rſio-
              <lb/>
            nem abſoluunt, quantum importat ſpatium illud, quod interim, ad orientem contra motum diurnum perfi-
              <lb/>
            ciunt. </s>
            <s xml:id="echoid-s6910" xml:space="preserve">Et quoniam Luna ſuo motu diurno ſeu diario proprio mouetur ad orientem gr. </s>
            <s xml:id="echoid-s6911" xml:space="preserve">13. </s>
            <s xml:id="echoid-s6912" xml:space="preserve">qui ferè horam
              <lb/>
            vnam in motu diurno primi mobilis efficiunt, ideo Luna hanc diurnam conuerſionem nõ niſi ſpatio 25. </s>
            <s xml:id="echoid-s6913" xml:space="preserve">qua-
              <lb/>
            ſi horarum peragit. </s>
            <s xml:id="echoid-s6914" xml:space="preserve">Atque hæc eſt cauſa cur ſingulis noctibus eam vna hora tardius oriri cernamus: </s>
            <s xml:id="echoid-s6915" xml:space="preserve">& </s>
            <s xml:id="echoid-s6916" xml:space="preserve">cor
              <lb/>
            ſequenter maris æſtus vna etiam hora tard us reuertantur: </s>
            <s xml:id="echoid-s6917" xml:space="preserve">vti ſupra diximus.</s>
            <s xml:id="echoid-s6918" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6919" xml:space="preserve">Conſidera@dum eſt igi@ur qua rátione ex motu proprio, atque ex motu diurno ſupeueniente, Luna tertio
              <lb/>
            quodam motu mixto, ac vltimo moueatur, qui motus eſt ſpirali, vt alias explicaui, ab vno tropico ad alterum,
              <lb/>
            dum enim Luna in ſua orbita ſub Zodiaco proficiſcitur, ſpatio 27. </s>
            <s xml:id="echoid-s6920" xml:space="preserve">dierum; </s>
            <s xml:id="echoid-s6921" xml:space="preserve">interim quotidie cogitur diur-
              <lb/>
            nam reuolutionem peragere. </s>
            <s xml:id="echoid-s6922" xml:space="preserve">Cogitemus lineam Lunæ C H I K L. </s>
            <s xml:id="echoid-s6923" xml:space="preserve">eſſe ſub Zodiaco, Lunamqu@ eam inci-
              <lb/>
              <figure xlink:label="fig-0090-01" xlink:href="fig-0090-01a" number="63">
                <image file="0090-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0090-01"/>
              </figure>
            pere in principio Cancri, & </s>
            <s xml:id="echoid-s6924" xml:space="preserve">dum in ea percurrit in conſequen-
              <lb/>
            tia gr. </s>
            <s xml:id="echoid-s6925" xml:space="preserve">13. </s>
            <s xml:id="echoid-s6926" xml:space="preserve">interim ſimul diurna conuerſio eam in contrarias par
              <lb/>
            tes vertat, ac reuoluat, & </s>
            <s xml:id="echoid-s6927" xml:space="preserve">quidem magis ſemper accedendo ad
              <lb/>
            alterum Tropicum ob Zodiaci obliquitatem. </s>
            <s xml:id="echoid-s6928" xml:space="preserve">quare Luna hac
              <lb/>
            diurna conuerſione nõ circulum in ſe redeuntem, ſed ſpiralem
              <lb/>
            lineam, aut helicem, ſeu glomerationem quandam delineabit
              <lb/>
            verſus alterum Tropicum. </s>
            <s xml:id="echoid-s6929" xml:space="preserve">ſequenti die idem efficit, & </s>
            <s xml:id="echoid-s6930" xml:space="preserve">ſic dein-
              <lb/>
            ceps quare diebus 14. </s>
            <s xml:id="echoid-s6931" xml:space="preserve">ferè, ad alterum Tropicum ſpiratim per-
              <lb/>
            ueniet: </s>
            <s xml:id="echoid-s6932" xml:space="preserve">& </s>
            <s xml:id="echoid-s6933" xml:space="preserve">inde ſpiras iterum nouas reciprocans ad Tropicum
              <lb/>
            Cancri integram, & </s>
            <s xml:id="echoid-s6934" xml:space="preserve">menſtruam deducet helicem. </s>
            <s xml:id="echoid-s6935" xml:space="preserve">quamuis au-
              <lb/>
            tem hæc difficilè pingantur, aliquam tamen huius ſpiræ accipe
              <lb/>
            figuram, in qua A B. </s>
            <s xml:id="echoid-s6936" xml:space="preserve">prima ac diurna ſpira fit in principio Can-
              <lb/>
            cri, atqne in limite boreo; </s>
            <s xml:id="echoid-s6937" xml:space="preserve">vltima vero C D. </s>
            <s xml:id="echoid-s6938" xml:space="preserve">ſit vltra Tropicum
              <lb/>
            Capricorni in auſtrali limite, ſunt omnes ſpiræ 13. </s>
            <s xml:id="echoid-s6939" xml:space="preserve">cum dimidia; </s>
            <s xml:id="echoid-s6940" xml:space="preserve">totidem enim diebus interuallum illud de-
              <lb/>
            curritur, non eſt æqualis craffitiei, aut corpulentiæ, ſed circa A B. </s>
            <s xml:id="echoid-s6941" xml:space="preserve">laxior, quam ad D D. </s>
            <s xml:id="echoid-s6942" xml:space="preserve">vbi anguſtior; </s>
            <s xml:id="echoid-s6943" xml:space="preserve">quia </s>
          </p>
        </div>
      </text>
    </echo>
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