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">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div239" type="section" level="1" n="156">
          <pb o="120" file="0142" n="147" rhead="De Mundi Fabrica,"/>
        </div>
        <div xml:id="echoid-div240" type="section" level="1" n="157">
          <head xml:id="echoid-head169" style="it" xml:space="preserve">Declaratio, & vſus Tabulæ primæ.</head>
          <p>
            <s xml:id="echoid-s11650" xml:space="preserve">IN prima linea continentur numeri elcuationum Poli Arcticiad quas Tabula eſt computata. </s>
            <s xml:id="echoid-s11651" xml:space="preserve">prima autem
              <lb/>
            nota quæ eſt o. </s>
            <s xml:id="echoid-s11652" xml:space="preserve">ſeu cifra, ſignificat nullum gradum eleuationis, ideſt, ſignificat ſphæram rectam, in qua po-
              <lb/>
            li ſupra horizontem non eleuantur. </s>
            <s xml:id="echoid-s11653" xml:space="preserve">In ſecunda linea ſignificat H. </s>
            <s xml:id="echoid-s11654" xml:space="preserve">Horam. </s>
            <s xml:id="echoid-s11655" xml:space="preserve">¹, vero ſignificat minuta. </s>
            <s xml:id="echoid-s11656" xml:space="preserve">In ter-
              <lb/>
            tia linea ſunt numeri horarum ac minuta, quæ competunt eleuationibus poli ſibi directè ſuperpoſitis, quę ho-
              <lb/>
            ræ ac minuta dant quantitatem temporis ſemidiurni Sole Cancrum adeunte, ſiue temporis ſolſtitij æſtiui ad
              <lb/>
            21. </s>
            <s xml:id="echoid-s11657" xml:space="preserve">Iunij, vt character hic ♋ Cancri lineæ ad ſiniſtram præpoſitns indicat. </s>
            <s xml:id="echoid-s11658" xml:space="preserve">Eadem de rel quis lineis propor-
              <lb/>
            tionaliter ſunt intelligenda. </s>
            <s xml:id="echoid-s11659" xml:space="preserve">literæ d c, quæ loco numerorum ponuntur, ſignificant diem continuum. </s>
            <s xml:id="echoid-s11660" xml:space="preserve">n c, no-
              <lb/>
            ctem continuam, quæ contineat etiam crepi ſculum. </s>
            <s xml:id="echoid-s11661" xml:space="preserve">Vſus autem eius eſt. </s>
            <s xml:id="echoid-s11662" xml:space="preserve">primo vt in ea omnium dierum, a@
              <lb/>
            noctium varietatem peromnes mundi habitationes contemplari facilè poſſimus.</s>
            <s xml:id="echoid-s11663" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11664" xml:space="preserve">Secundo vt ex ea eliciamus ad quoduis tempus, & </s>
            <s xml:id="echoid-s11665" xml:space="preserve">in quauis habitatione quantitatem diei ac noctis, atq; </s>
            <s xml:id="echoid-s11666" xml:space="preserve">ho-
              <lb/>
            ram ortus, & </s>
            <s xml:id="echoid-s11667" xml:space="preserve">occaſus Solis, horam meridiei, & </s>
            <s xml:id="echoid-s11668" xml:space="preserve">mediæ noctis. </s>
            <s xml:id="echoid-s11669" xml:space="preserve">quod vno aut altero exemplo patebit, ſint v.</s>
            <s xml:id="echoid-s11670" xml:space="preserve">g. </s>
            <s xml:id="echoid-s11671" xml:space="preserve">in
              <lb/>
            eleuatione poli Parmenſi gr. </s>
            <s xml:id="echoid-s11672" xml:space="preserve">45. </s>
            <s xml:id="echoid-s11673" xml:space="preserve">ferè, quærẽda ea quæ dicta ſuntad diem 21. </s>
            <s xml:id="echoid-s11674" xml:space="preserve">Ianuarij, quo tempore Sol Aqua-
              <lb/>
            rij ſignum ingreditur. </s>
            <s xml:id="echoid-s11675" xml:space="preserve">quæro igitur in linea eleuationum polarium gr. </s>
            <s xml:id="echoid-s11676" xml:space="preserve">45. </s>
            <s xml:id="echoid-s11677" xml:space="preserve">deinde in latere ſiniſtro ſignum ♒,
              <lb/>
            in cuius linea fub gr. </s>
            <s xml:id="echoid-s11678" xml:space="preserve">45. </s>
            <s xml:id="echoid-s11679" xml:space="preserve">reperio 4. </s>
            <s xml:id="echoid-s11680" xml:space="preserve">34. </s>
            <s xml:id="echoid-s11681" xml:space="preserve">ideſt, hor. </s>
            <s xml:id="echoid-s11682" xml:space="preserve">4. </s>
            <s xml:id="echoid-s11683" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11684" xml:space="preserve">34. </s>
            <s xml:id="echoid-s11685" xml:space="preserve">quod eſt tempus ſemidiurnum, quo duplicato ha-
              <lb/>
            beo tempus diurnum ſiue quantitatem diei hor. </s>
            <s xml:id="echoid-s11686" xml:space="preserve">9,. </s>
            <s xml:id="echoid-s11687" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11688" xml:space="preserve">8. </s>
            <s xml:id="echoid-s11689" xml:space="preserve">quibus demptis a 24. </s>
            <s xml:id="echoid-s11690" xml:space="preserve">habeo quantitatem noctis hor.
              <lb/>
            </s>
            <s xml:id="echoid-s11691" xml:space="preserve">14. </s>
            <s xml:id="echoid-s11692" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11693" xml:space="preserve">52′. </s>
            <s xml:id="echoid-s11694" xml:space="preserve">quare iuxta Italicas hora Soloritur hora 14. </s>
            <s xml:id="echoid-s11695" xml:space="preserve">52′. </s>
            <s xml:id="echoid-s11696" xml:space="preserve">prędictus autem tempus ſemidiurnum detractum
              <lb/>
            à 24. </s>
            <s xml:id="echoid-s11697" xml:space="preserve">dabit tempus meridiei hora 19. </s>
            <s xml:id="echoid-s11698" xml:space="preserve">26′. </s>
            <s xml:id="echoid-s11699" xml:space="preserve">tempus mediæ noctis habetur diuidendo tempus nocturnum bifarif
              <unsure/>
            ,
              <lb/>
            eritq; </s>
            <s xml:id="echoid-s11700" xml:space="preserve">hora 7. </s>
            <s xml:id="echoid-s11701" xml:space="preserve">26′.</s>
            <s xml:id="echoid-s11702" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11703" xml:space="preserve">Quod ſi eleuatio poli oblata non reperiatur in Tabula, accipe propinquiorem, eique adde quantũm iudica-
              <lb/>
            ueris addendum eſſe, parum enim a vero aberrabis. </s>
            <s xml:id="echoid-s11704" xml:space="preserve">pariter ſi tempus oblatum ſeu ſi gradus Solis non reperies.
              <lb/>
            </s>
            <s xml:id="echoid-s11705" xml:space="preserve">à vicinioribus ſupplementum petes, addendo aliquid iuxta earum differentiam, v.</s>
            <s xml:id="echoid-s11706" xml:space="preserve">g. </s>
            <s xml:id="echoid-s11707" xml:space="preserve">ſi ad 20. </s>
            <s xml:id="echoid-s11708" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s11709" xml:space="preserve">Capricorni,
              <lb/>
            qui non eſtin Tabula, eſſet quantitas diei ex Tabula hac eruenda, in eadem Parmenſi habitatione, video in
              <lb/>
            Tabula ad initium Capricorni quantitatem temporis ſemidiurni eſſe hor. </s>
            <s xml:id="echoid-s11710" xml:space="preserve">4. </s>
            <s xml:id="echoid-s11711" xml:space="preserve">17′. </s>
            <s xml:id="echoid-s11712" xml:space="preserve">in principio vero ſequenti ſi-
              <lb/>
            gni Aquarij eſſe horarum 4. </s>
            <s xml:id="echoid-s11713" xml:space="preserve">34′. </s>
            <s xml:id="echoid-s11714" xml:space="preserve">horum differẽtia eſt min. </s>
            <s xml:id="echoid-s11715" xml:space="preserve">27. </s>
            <s xml:id="echoid-s11716" xml:space="preserve">quia igitur gr. </s>
            <s xml:id="echoid-s11717" xml:space="preserve">20. </s>
            <s xml:id="echoid-s11718" xml:space="preserve">Capricorni eſt ferè medius in-
              <lb/>
            ter v@rumque, ideo minori tempori 4. </s>
            <s xml:id="echoid-s11719" xml:space="preserve">17′. </s>
            <s xml:id="echoid-s11720" xml:space="preserve">addo pluſculũ dimij differentię, conficioq; </s>
            <s xml:id="echoid-s11721" xml:space="preserve">hor. </s>
            <s xml:id="echoid-s11722" xml:space="preserve">4 min. </s>
            <s xml:id="echoid-s11723" xml:space="preserve">26 pro quan-
              <lb/>
            titate temporis ſemidiurni gr. </s>
            <s xml:id="echoid-s11724" xml:space="preserve">20. </s>
            <s xml:id="echoid-s11725" xml:space="preserve">Capricorni, tempore igitur ſemidiurno habito, reliqua vt ſupra ex ipſo col-
              <lb/>
            liguntur.</s>
            <s xml:id="echoid-s11726" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11727" xml:space="preserve">Cæterum hæc eadem Tabula inſeruire poteſt exiſtentibus in hemiſphærio Auſtrali, ſi ſigna, & </s>
            <s xml:id="echoid-s11728" xml:space="preserve">characteres
              <lb/>
            ſignorum loca inuicem permutent, vt cuique facilè eſt intelligere, v.</s>
            <s xml:id="echoid-s11729" xml:space="preserve">g. </s>
            <s xml:id="echoid-s11730" xml:space="preserve">vbi eſt ♋, ponatur ♑, & </s>
            <s xml:id="echoid-s11731" xml:space="preserve">è contra.</s>
            <s xml:id="echoid-s11732" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div241" type="section" level="1" n="158">
          <head xml:id="echoid-head170" style="it" xml:space="preserve">Declaratio, & vſus Tabulæ ſecundæ crepuſ culorum.</head>
          <p>
            <s xml:id="echoid-s11733" xml:space="preserve">IN hac pariter Tabula altitudines poli ſunt in ſuprema linea, ibiq; </s>
            <s xml:id="echoid-s11734" xml:space="preserve">notao, ſignificat ſphæram rectam. </s>
            <s xml:id="echoid-s11735" xml:space="preserve">reli-
              <lb/>
            quæ etiam lineæ debentur ſignis ſibi ad ſiniſtram adſcriptis, numeriq; </s>
            <s xml:id="echoid-s11736" xml:space="preserve">earum ſignificant quantitatem crepu-
              <lb/>
            ſculi, ſiue matutini, ſiue veſpertini, ſiue continui. </s>
            <s xml:id="echoid-s11737" xml:space="preserve">quando loco numerorum occurrunt literætn, eæ denotant
              <lb/>
            crepuſculum tota nocte durare literę d c, denotantibi nullum eſſe crepuſculum, ſed diem purum ac continuũ.
              <lb/>
            </s>
            <s xml:id="echoid-s11738" xml:space="preserve">literæ tandem n p, indicant ibi eſſe noctem puram ſine crepuſculo. </s>
            <s xml:id="echoid-s11739" xml:space="preserve">vſus eius exemplo patebit, ſit accipienda
              <lb/>
            quantitas crepuſculi ad eundem diem 21. </s>
            <s xml:id="echoid-s11740" xml:space="preserve">Ianuarij in eleuatione 45. </s>
            <s xml:id="echoid-s11741" xml:space="preserve">ſcilicet cum Sól circa initium Aquarij ver-
              <lb/>
            ſatur. </s>
            <s xml:id="echoid-s11742" xml:space="preserve">igitur ſub eleuatione 45. </s>
            <s xml:id="echoid-s11743" xml:space="preserve">reperta in Tabula è regione ſigni ♒ Aquarij, ſeu in linea cui adſcriptus eſt
              <lb/>
            character hic ♒, accipio numerum hor. </s>
            <s xml:id="echoid-s11744" xml:space="preserve">1. </s>
            <s xml:id="echoid-s11745" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11746" xml:space="preserve">49 pro quantitate crepuſculi. </s>
            <s xml:id="echoid-s11747" xml:space="preserve">& </s>
            <s xml:id="echoid-s11748" xml:space="preserve">quia quotid efiunt duo crepu-
              <lb/>
            ſcula matutinum, & </s>
            <s xml:id="echoid-s11749" xml:space="preserve">veſpertinum, ideo tantum illius temporis crepuſculum erit hor. </s>
            <s xml:id="echoid-s11750" xml:space="preserve">3. </s>
            <s xml:id="echoid-s11751" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11752" xml:space="preserve">38′. </s>
            <s xml:id="echoid-s11753" xml:space="preserve">quod tempus
              <lb/>
            ſi addatur quantitati diei ſuperius ad idemtempus inuentæ quæ fuit hor. </s>
            <s xml:id="echoid-s11754" xml:space="preserve">9.</s>
            <s xml:id="echoid-s11755" xml:space="preserve">8′. </s>
            <s xml:id="echoid-s11756" xml:space="preserve">conflabitur tota dies artificialis
              <lb/>
            vulgaris, eritq; </s>
            <s xml:id="echoid-s11757" xml:space="preserve">hor. </s>
            <s xml:id="echoid-s11758" xml:space="preserve">12. </s>
            <s xml:id="echoid-s11759" xml:space="preserve">min. </s>
            <s xml:id="echoid-s11760" xml:space="preserve">46′. </s>
            <s xml:id="echoid-s11761" xml:space="preserve">quo toto tempore artifices lumen vident atq; </s>
            <s xml:id="echoid-s11762" xml:space="preserve">operari poſſunt quare nox pu-
              <lb/>
            ra, & </s>
            <s xml:id="echoid-s11763" xml:space="preserve">mera erit hor. </s>
            <s xml:id="echoid-s11764" xml:space="preserve">11. </s>
            <s xml:id="echoid-s11765" xml:space="preserve">16′. </s>
            <s xml:id="echoid-s11766" xml:space="preserve">quæ omnia ita ſe habent dummodo tempora nubila non obſtent. </s>
            <s xml:id="echoid-s11767" xml:space="preserve">atq; </s>
            <s xml:id="echoid-s11768" xml:space="preserve">hęc eſt præ-
              <lb/>
            cipua huius Tabulæ vtilitas, vt ſcilicet quantitastotius diei artificialis vulgaris, ideſt, quantum temporis ab ini-
              <lb/>
            tio Auroræ vſq; </s>
            <s xml:id="echoid-s11769" xml:space="preserve">ad intempeſtam noctem intercedat.</s>
            <s xml:id="echoid-s11770" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11771" xml:space="preserve">Quod ſi gradus Zodiaci oblatus, aut eleuatio poli oblata non reperiatur in Tabula, ex vicinioribus gradi-
              <lb/>
            bus, & </s>
            <s xml:id="echoid-s11772" xml:space="preserve">eleuationibus iudicio cuiuſque ſupplendum erit, vt plurimum enim differentiæ ſunt modicæ, ex qui-
              <lb/>
            bus ſi pars conueniens accipiatur, nullus error ſenſibilis contingit. </s>
            <s xml:id="echoid-s11773" xml:space="preserve">Ex eadem Tabula liquet falſum videri
              <lb/>
            quod alij dicunt, nimirum crepuſcula in Capricorno ſemper eſſe maiora crepuſculis ad dimidiam Libram,
              <lb/>
            & </s>
            <s xml:id="echoid-s11774" xml:space="preserve">Piſces, nam ſub altitudine poli grad. </s>
            <s xml:id="echoid-s11775" xml:space="preserve">83 {1/2}. </s>
            <s xml:id="echoid-s11776" xml:space="preserve">Tabula exhibet Capricorni crepuſcu lum hor. </s>
            <s xml:id="echoid-s11777" xml:space="preserve">2. </s>
            <s xml:id="echoid-s11778" xml:space="preserve">10′. </s>
            <s xml:id="echoid-s11779" xml:space="preserve">at per totam
              <lb/>
            Libram, & </s>
            <s xml:id="echoid-s11780" xml:space="preserve">Piſces exhibet crepuſculum per totam noctem. </s>
            <s xml:id="echoid-s11781" xml:space="preserve">(quod etiam ab horis 12. </s>
            <s xml:id="echoid-s11782" xml:space="preserve">vſque ad hor. </s>
            <s xml:id="echoid-s11783" xml:space="preserve">fermè 20.)
              <lb/>
            </s>
            <s xml:id="echoid-s11784" xml:space="preserve">excreſcit. </s>
            <s xml:id="echoid-s11785" xml:space="preserve">idem accidit in alijs eleuationibus ſupra eleuationem gr. </s>
            <s xml:id="echoid-s11786" xml:space="preserve">74. </s>
            <s xml:id="echoid-s11787" xml:space="preserve">vt in Tabula videre eſt.</s>
            <s xml:id="echoid-s11788" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11789" xml:space="preserve">Notandum vltimo in omnibus eleuationibus, vbi ſunt appoſiti numeri indicantes quantitatem crepuſculi,
              <lb/>
            eos indicare dimidium tantum crepuſculum, quod vni diei debetur, quia ſunt in quolibet die bina crepuſcula,
              <lb/>
            quorum alterum Tabula exhibet. </s>
            <s xml:id="echoid-s11790" xml:space="preserve">quod etiam ſeruatur vbi dimidium crepuſculi alteri dimidio continuatur,
              <lb/>
            vt accidit in ijs paralellis, quorum diametri pars eſt infra horizontem, ſed ſupra lineam crepuſculi, ea enim
              <lb/>
            pars efficit crepuſculum, cuius tantum dimidium in Tabula ponitur, ſecus eſt vbi ſunt lineætn &</s>
            <s xml:id="echoid-s11791" xml:space="preserve">c.</s>
            <s xml:id="echoid-s11792" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s11793" xml:space="preserve">Hæc pariter Tabuia inſeruiet pro hemiſphærio Auftrali commutatis ſex ſignis Borealibus in Auſtralia, vt
              <unsure/>
              <lb/>
            @onſideranti manifeſtum eſt.</s>
            <s xml:id="echoid-s11794" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>