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

Table of Notes

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            <s xml:id="echoid-s15392" xml:space="preserve">
              <pb o="178" file="0200" n="205" rhead="De Mundi Fabrica,"/>
              <note position="right" xlink:label="note-0200-01" xlink:href="note-0200-01a" xml:space="preserve">
                <lb/>
              Anni ſin \\ guli. # ## Motus eis re- \\ ſpondentes.
                <lb/>
              # # Min. # Sec.
                <lb/>
              1 # 0 # 51
                <lb/>
              2 # 1 # 42
                <lb/>
              3 # 2 # 33
                <lb/>
              4 # 3 # 24
                <lb/>
              5 # 4 # 15
                <lb/>
              6 # 5 # 6
                <lb/>
              7 # 5 # 57
                <lb/>
              8 # 6 # 48
                <lb/>
              9 # 7 # 39
                <lb/>
              10 # 8 # 30
                <lb/>
              </note>
            ces propterea cum ponamus eas vno anno promoueri ſec. </s>
            <s xml:id="echoid-s15393" xml:space="preserve">51″.
              <lb/>
            </s>
            <s xml:id="echoid-s15394" xml:space="preserve">conſtruximus ſequentem Tabellam, in qua vſque ad annos 10. </s>
            <s xml:id="echoid-s15395" xml:space="preserve">
              <lb/>
            ſingulis ſuus numerus aſcribitur, ex qua poſtea reliquorum an-
              <lb/>
            norum, v. </s>
            <s xml:id="echoid-s15396" xml:space="preserve">g. </s>
            <s xml:id="echoid-s15397" xml:space="preserve">20. </s>
            <s xml:id="echoid-s15398" xml:space="preserve">30. </s>
            <s xml:id="echoid-s15399" xml:space="preserve">&</s>
            <s xml:id="echoid-s15400" xml:space="preserve">c. </s>
            <s xml:id="echoid-s15401" xml:space="preserve">duplicando, aut triplicando motum an
              <lb/>
            norum 10. </s>
            <s xml:id="echoid-s15402" xml:space="preserve">facilè reperiemus, necnon annorum intermedio-
              <lb/>
            rum: </s>
            <s xml:id="echoid-s15403" xml:space="preserve">vt exemplo patebit, v. </s>
            <s xml:id="echoid-s15404" xml:space="preserve">g. </s>
            <s xml:id="echoid-s15405" xml:space="preserve">hoc anno 1616. </s>
            <s xml:id="echoid-s15406" xml:space="preserve">currente, libet
              <lb/>
            ſcire quantum diſtet prima Arietis ſtella ab Æquinoctio, ſeu
              <lb/>
            quanta ſit eius longitudo.</s>
            <s xml:id="echoid-s15407" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15408" xml:space="preserve">Accipe igitur ex Catalogo eius longitudinem quæ eſt Ra-
              <lb/>
            dix huius motus, eſtque gr. </s>
            <s xml:id="echoid-s15409" xml:space="preserve">27. </s>
            <s xml:id="echoid-s15410" xml:space="preserve">37.</s>
            <s xml:id="echoid-s15411" xml:space="preserve">′. </s>
            <s xml:id="echoid-s15412" xml:space="preserve">0″. </s>
            <s xml:id="echoid-s15413" xml:space="preserve">poſtea accipe ex hac
              <lb/>
            Tabella motum annorum 10. </s>
            <s xml:id="echoid-s15414" xml:space="preserve">& </s>
            <s xml:id="echoid-s15415" xml:space="preserve">poſtea motum annorum ſex
              <lb/>
            quibus ſimul poatis, vt in formula vides, atque in vnam ſum-
              <lb/>
            mam redactis, habebis eius longitudinem, ſeu locum eius in
              <lb/>
            Zodiaco. </s>
            <s xml:id="echoid-s15416" xml:space="preserve">latitudinem vero ſuppono eſſe ſemper eandem,
              <lb/>
            quam Catalogus oſtendit quæ eſt gr. </s>
            <s xml:id="echoid-s15417" xml:space="preserve">7. </s>
            <s xml:id="echoid-s15418" xml:space="preserve">borealis. </s>
            <s xml:id="echoid-s15419" xml:space="preserve">ex quibus lo-
              <lb/>
            cum Stellæ in cælo definitum habes.</s>
            <s xml:id="echoid-s15420" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15421" xml:space="preserve">Illud etiam notandum longitudinem huius primæ Arietis
              <lb/>
            eſſe tantam, quanta etiam eſt præceſſio Aequino&</s>
            <s xml:id="echoid-s15422" xml:space="preserve">ij. </s>
            <s xml:id="echoid-s15423" xml:space="preserve">Neque
              <lb/>
            vero neceſſe eſt ad datos dies aut menſes hunc motum com-
              <lb/>
            putare, cum ob ipſius tarditatem, ne vno quidem anno mi-
              <lb/>
            nutum vnum conficiant.</s>
            <s xml:id="echoid-s15424" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div361" type="section" level="1" n="257">
          <head xml:id="echoid-head274" style="it" xml:space="preserve">FORMVLA EXEMPLI.</head>
          <note position="right" xml:space="preserve">
            <lb/>
          # Gra. # Min. # Sec.
            <lb/>
          # 0 # ′ # ″.
            <lb/>
          Rad. 1600 # 27 # 37 # 0
            <lb/>
          Anni 10 # 0 # 0 # 30
            <lb/>
          Summa. # 27 # 50 # 36. Longitudo.
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s15425" xml:space="preserve">Libet nunc curioſitas per pulchræ gratia inda-
              <lb/>
            gare quibuſnam in Stellis fuerit æquinoctiũ ver-
              <lb/>
            num initio Orbis conditi, quod pro altero huius
              <lb/>
            calculi exemplo erit. </s>
            <s xml:id="echoid-s15426" xml:space="preserve">Erat igitur prima Arietis
              <lb/>
            anno ab Vrbe condita 466. </s>
            <s xml:id="echoid-s15427" xml:space="preserve">ab orbe vero condito
              <lb/>
            3832. </s>
            <s xml:id="echoid-s15428" xml:space="preserve">ſecudnum noſtram clarorum Mathemati-
              <lb/>
            corum Chronologiam, poſt æquinoctium gr. </s>
            <s xml:id="echoid-s15429" xml:space="preserve">2.
              <lb/>
            </s>
            <s xml:id="echoid-s15430" xml:space="preserve">nam vt refert Ptolemęus tunc eam ibi Timocha-
              <lb/>
            ris depræhendit: </s>
            <s xml:id="echoid-s15431" xml:space="preserve">cum igitur, ſecundum noſtram
              <lb/>
            hypotheſim, ſtellæ conficiant gr. </s>
            <s xml:id="echoid-s15432" xml:space="preserve">1. </s>
            <s xml:id="echoid-s15433" xml:space="preserve">in annis 70. </s>
            <s xml:id="echoid-s15434" xml:space="preserve">
              <lb/>
            menſibus 7. </s>
            <s xml:id="echoid-s15435" xml:space="preserve">ſequitur duos illos gradus ſuperaſie
              <lb/>
            in annis 141. </s>
            <s xml:id="echoid-s15436" xml:space="preserve">quibus detractis ex 3832. </s>
            <s xml:id="echoid-s15437" xml:space="preserve">remanent
              <lb/>
            3691. </s>
            <s xml:id="echoid-s15438" xml:space="preserve">anno igitur ab Orbe condito 3691. </s>
            <s xml:id="echoid-s15439" xml:space="preserve">erat prima Arietis in ipſiſſima ſectione verna. </s>
            <s xml:id="echoid-s15440" xml:space="preserve">Eratautem is annus
              <lb/>
            ab Vrbe condita 325. </s>
            <s xml:id="echoid-s15441" xml:space="preserve">(qui remanent detractis annis 141. </s>
            <s xml:id="echoid-s15442" xml:space="preserve">ab annis 466. </s>
            <s xml:id="echoid-s15443" xml:space="preserve">ab Vrbe condita, quando Timocharis
              <lb/>
            obſeruauit) quod tempus ferè incidit in tempus obſeruationum Metonis, & </s>
            <s xml:id="echoid-s15444" xml:space="preserve">Euctemonis, qui ſolſtitia, & </s>
            <s xml:id="echoid-s15445" xml:space="preserve">
              <lb/>
            æquinoctia obſeruarunt; </s>
            <s xml:id="echoid-s15446" xml:space="preserve">qua tempeſtate Zodiacus eſſ aſteriſmorum coincidebat cum Zodiaco ſignorum, ſeu
              <lb/>
            primi Mobilis: </s>
            <s xml:id="echoid-s15447" xml:space="preserve">cum pręterea oſtenſum ſit inerrantes totum Zodiacum recurrere annis 28′ 800′. </s>
            <s xml:id="echoid-s15448" xml:space="preserve">perauręam
              <lb/>
            regulam inuenies eas in annis 3691. </s>
            <s xml:id="echoid-s15449" xml:space="preserve">progreſſas fuiſſe gr. </s>
            <s xml:id="echoid-s15450" xml:space="preserve">46. </s>
            <s xml:id="echoid-s15451" xml:space="preserve">nam ſi annis 28800. </s>
            <s xml:id="echoid-s15452" xml:space="preserve">dant gr. </s>
            <s xml:id="echoid-s15453" xml:space="preserve">360. </s>
            <s xml:id="echoid-s15454" xml:space="preserve">anni 3691. </s>
            <s xml:id="echoid-s15455" xml:space="preserve">dabũt
              <lb/>
            annos 49. </s>
            <s xml:id="echoid-s15456" xml:space="preserve">Quare prima Arietis erat in ipſa mudi exordio ante æquinoctium gr. </s>
            <s xml:id="echoid-s15457" xml:space="preserve">ferè 46. </s>
            <s xml:id="echoid-s15458" xml:space="preserve">hoc eſt in gr. </s>
            <s xml:id="echoid-s15459" xml:space="preserve">14. </s>
            <s xml:id="echoid-s15460" xml:space="preserve">ſigni
              <lb/>
            Aquarij. </s>
            <s xml:id="echoid-s15461" xml:space="preserve">Aequinoctium autem erat propè finem aſteriſmi Tauri: </s>
            <s xml:id="echoid-s15462" xml:space="preserve">diſtant enim cornua Tauri a prima Stella
              <lb/>
            Arietis gr. </s>
            <s xml:id="echoid-s15463" xml:space="preserve">circiter 46. </s>
            <s xml:id="echoid-s15464" xml:space="preserve">in qua diſtantia erat etiam æquinoctij punctum. </s>
            <s xml:id="echoid-s15465" xml:space="preserve">Atq; </s>
            <s xml:id="echoid-s15466" xml:space="preserve">hæc dicta ſint non tanquam vſ-
              <lb/>
            quequaque vera, ſed ex noſtris ſuppoſitis, non leui coniectura. </s>
            <s xml:id="echoid-s15467" xml:space="preserve">Ecce tibi quo peruadat humana ſubtilitas.</s>
            <s xml:id="echoid-s15468" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div362" type="section" level="1" n="258">
          <head xml:id="echoid-head275" style="it" xml:space="preserve">Velocitas diurni motus affixarum.</head>
          <p>
            <s xml:id="echoid-s15469" xml:space="preserve">LAudabilis profecto curioſitas quærere quot milliaria ſingulis horis affixæ percurrãt, eæ præſertim, quæ
              <lb/>
            propè æquatorem ſitæ reuoluuntur. </s>
            <s xml:id="echoid-s15470" xml:space="preserve">cui ſic ſatis ſaciendum puto; </s>
            <s xml:id="echoid-s15471" xml:space="preserve">circumferentia maximi circuli firma-
              <lb/>
            menti, vt infra oſtendam, continet ſemidiametros 88′ 000′. </s>
            <s xml:id="echoid-s15472" xml:space="preserve">qnibus diuiſis in partes, ſeu hor. </s>
            <s xml:id="echoid-s15473" xml:space="preserve">24. </s>
            <s xml:id="echoid-s15474" xml:space="preserve">vni horę ob-
              <lb/>
            ueniunt 3666 {2/3} ſemidiametri terræ; </s>
            <s xml:id="echoid-s15475" xml:space="preserve">vna autem ſemidiameter continet milliaria Aſtronomica 3436 {1/2}. </s>
            <s xml:id="echoid-s15476" xml:space="preserve">quare
              <lb/>
            ſi 3666 {2/3}. </s>
            <s xml:id="echoid-s15477" xml:space="preserve">per 3436 {1/2}. </s>
            <s xml:id="echoid-s15478" xml:space="preserve">multiplicentur, producetur 12,589,045. </s>
            <s xml:id="echoid-s15479" xml:space="preserve">nnmerus milliariorum, in vna igitur hora tot
              <lb/>
            milliariorum milliones conficit ſtella propè æquatorem motu primi mobilis, ſeu diurno delata. </s>
            <s xml:id="echoid-s15480" xml:space="preserve">Vtrum ſtel-
              <lb/>
            la fixa plures gyros diurnos peragat, quam Sol aut Luna?</s>
            <s xml:id="echoid-s15481" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div363" type="section" level="1" n="259">
          <head xml:id="echoid-head276" style="it" xml:space="preserve">Motus trepidationis firmamenti. Cap. IX.</head>
          <p>
            <s xml:id="echoid-s15482" xml:space="preserve">PRæter motum in longitudinem, & </s>
            <s xml:id="echoid-s15483" xml:space="preserve">motum diurnum, tertium nonnullis ſtellis addunt, quem trepidatio-
              <lb/>
            nem vocant: </s>
            <s xml:id="echoid-s15484" xml:space="preserve">quo firmamentum verſus Mundi polos lentiſſimè reciprocari, ſeu accedere, & </s>
            <s xml:id="echoid-s15485" xml:space="preserve">recedere ad
              <lb/>
            interuallum min. </s>
            <s xml:id="echoid-s15486" xml:space="preserve">24′. </s>
            <s xml:id="echoid-s15487" xml:space="preserve">putant. </s>
            <s xml:id="echoid-s15488" xml:space="preserve">Quam quantitatem colligunt ex maxima, & </s>
            <s xml:id="echoid-s15489" xml:space="preserve">minima Solis declinatione, cuius
              <lb/>
            ſupra Tabeli
              <unsure/>
            am expoſuimus; </s>
            <s xml:id="echoid-s15490" xml:space="preserve">vnde colligunt maximam, & </s>
            <s xml:id="echoid-s15491" xml:space="preserve">minimam eclipticæ declinationem, quam </s>
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