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-div307" type="section" level="1" n="213">
          <p>
            <s xml:id="echoid-s13485" xml:space="preserve">
              <pb o="149" file="0171" n="176" rhead="Liber Decimusquartus."/>
            quam ſemid. </s>
            <s xml:id="echoid-s13486" xml:space="preserve">terræ 3990. </s>
            <s xml:id="echoid-s13487" xml:space="preserve">veruntamen quanta ſit nihil certi aſſero. </s>
            <s xml:id="echoid-s13488" xml:space="preserve">ſemid. </s>
            <s xml:id="echoid-s13489" xml:space="preserve">vero epicycli in minima diſtantia.
              <lb/>
            </s>
            <s xml:id="echoid-s13490" xml:space="preserve">ubtendit arcum gr. </s>
            <s xml:id="echoid-s13491" xml:space="preserve">11 {1/2}. </s>
            <s xml:id="echoid-s13492" xml:space="preserve">in Zodiaco, dum a nobis è terra obſeruatur; </s>
            <s xml:id="echoid-s13493" xml:space="preserve">in maxima autem ſubtendit gr. </s>
            <s xml:id="echoid-s13494" xml:space="preserve">10 {1/2}. </s>
            <s xml:id="echoid-s13495" xml:space="preserve">qui-
              <lb/>
            bus ſic poſitis eius circulationes concipiendæ ſunt, hoc ordine primo ipſum Iouis aſtrum in peripheria epi-
              <lb/>
            cycli circa centrum epicycli eodem modo ac Martis aſtrum reuoluitur: </s>
            <s xml:id="echoid-s13496" xml:space="preserve">nam mirabili ad Solem analogia ita
              <lb/>
            circumcurrit, vt cum ei Sol coniungitur, ſeu cum Sol eum in Zodiaco aſſequitur, tunc planeta epicycli apo-
              <lb/>
            gæum A, obſideat; </s>
            <s xml:id="echoid-s13497" xml:space="preserve">poſtea Sole eum prætereunte planeta proportionaliter in epicyclo deſcendit verſus C,
              <lb/>
            cumq; </s>
            <s xml:id="echoid-s13498" xml:space="preserve">Sol ei è diametro aduerſatur, ipſe iam in perigæum epicycli M, delapſus fuerit. </s>
            <s xml:id="echoid-s13499" xml:space="preserve">inde ſcandens alterũ
              <lb/>
            epicycli ſemicirculum, erit iterum in noua cũ ſole coniunctione in apogæo A. </s>
            <s xml:id="echoid-s13500" xml:space="preserve">hic pariter motus dicitur ano-
              <lb/>
            malia, eadem de cauſa qua in alijs. </s>
            <s xml:id="echoid-s13501" xml:space="preserve">eiuſq; </s>
            <s xml:id="echoid-s13502" xml:space="preserve">numeratio incipit ab apogæo A, diarius eius motus eſt min. </s>
            <s xml:id="echoid-s13503" xml:space="preserve">54′. </s>
            <s xml:id="echoid-s13504" xml:space="preserve">an-
              <lb/>
            nuus ſig. </s>
            <s xml:id="echoid-s13505" xml:space="preserve">10. </s>
            <s xml:id="echoid-s13506" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s13507" xml:space="preserve">20. </s>
            <s xml:id="echoid-s13508" xml:space="preserve">quare totum epicyclum percurrit anno vno ſimplici, cum diebus 33. </s>
            <s xml:id="echoid-s13509" xml:space="preserve">hor. </s>
            <s xml:id="echoid-s13510" xml:space="preserve">21. </s>
            <s xml:id="echoid-s13511" xml:space="preserve">Porrò du
              <unsure/>
            pla-
              <lb/>
            neta hunc epicycli gyrum terit, interim centrum E, epicycli transfertur ſecundum Zodiaci longitudinem
              <lb/>
            ſeu in conſequentia, qui dicitur motus longitudinis, incipitq; </s>
            <s xml:id="echoid-s13512" xml:space="preserve">eius numeratio ab initio Arietis, ſeu ab æqui-
              <lb/>
            noctio verno. </s>
            <s xml:id="echoid-s13513" xml:space="preserve">moueturq; </s>
            <s xml:id="echoid-s13514" xml:space="preserve">in eo quotidie motu medio min′
              <unsure/>
            . </s>
            <s xml:id="echoid-s13515" xml:space="preserve">59″. </s>
            <s xml:id="echoid-s13516" xml:space="preserve">in anno vero gr. </s>
            <s xml:id="echoid-s13517" xml:space="preserve">30. </s>
            <s xml:id="echoid-s13518" xml:space="preserve">19′. </s>
            <s xml:id="echoid-s13519" xml:space="preserve">41″. </s>
            <s xml:id="echoid-s13520" xml:space="preserve">quaretotũ Zo-
              <lb/>
            diacum recurritannis vndecim Aegyptijs, diebus 214. </s>
            <s xml:id="echoid-s13521" xml:space="preserve">hor. </s>
            <s xml:id="echoid-s13522" xml:space="preserve">21. </s>
            <s xml:id="echoid-s13523" xml:space="preserve">hic autem planetæ motus in longitudinem, re
              <lb/>
            ipſa inæqualis eſt, ob motum anomaliæ; </s>
            <s xml:id="echoid-s13524" xml:space="preserve">quia vt in alijs, ob hanc anomaliam planeta ſit directus, ſtationarius,
              <lb/>
            retrogradus; </s>
            <s xml:id="echoid-s13525" xml:space="preserve">vnde neceſſe eſt eum in Zodlaco inęqualiter progredi. </s>
            <s xml:id="echoid-s13526" xml:space="preserve">imo reliquas Martis affectiones recipit,
              <lb/>
            ideſt, eoſdem aſpectus, tum ad ſolem, tum ad alia ſydera. </s>
            <s xml:id="echoid-s13527" xml:space="preserve">item eoſdem ortus, & </s>
            <s xml:id="echoid-s13528" xml:space="preserve">occaſus: </s>
            <s xml:id="echoid-s13529" xml:space="preserve">ſunt enm hi tres ſu-
              <lb/>
            periores planetæ inuicem perſimiles. </s>
            <s xml:id="echoid-s13530" xml:space="preserve">tandem ex motus anomaliæ cum motu longitudinis connexione, fit vt
              <lb/>
            lupiter deſcribat aliam figuram ſpiralem ſimilem, ei quam pro Marte deſcripſimus cap. </s>
            <s xml:id="echoid-s13531" xml:space="preserve">de Motu, eodemq; </s>
            <s xml:id="echoid-s13532" xml:space="preserve">
              <lb/>
            modo explicari debet: </s>
            <s xml:id="echoid-s13533" xml:space="preserve">quamuis autem ei ſit ſimilis, ab ea tamen differt hæc, quia lineas ſpirales plures habe-
              <lb/>
            bit; </s>
            <s xml:id="echoid-s13534" xml:space="preserve">citius enim in anno ſupiter anomaliam abſoluit, quam Mars.</s>
            <s xml:id="echoid-s13535" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s13536" xml:space="preserve">Amplius planeta in latitudinem mouetur; </s>
            <s xml:id="echoid-s13537" xml:space="preserve">non enim ſub ecliptica alij planetæ præter ſolem incedunt, ſed
              <lb/>
            huc illuc in Boream, & </s>
            <s xml:id="echoid-s13538" xml:space="preserve">Auſtrum ab ea ex currunt: </s>
            <s xml:id="echoid-s13539" xml:space="preserve">quæ excurſio in Ioue continet ad fummum gr. </s>
            <s xml:id="echoid-s13540" xml:space="preserve">2. </s>
            <s xml:id="echoid-s13541" xml:space="preserve">7′
              <unsure/>
            . </s>
            <s xml:id="echoid-s13542" xml:space="preserve">hic igi-
              <lb/>
            tur dicetur motus latitudinis. </s>
            <s xml:id="echoid-s13543" xml:space="preserve">Poſtremo dum planeta ſuos hoſce circuitus in ſua regione peragit, non im-
              <lb/>
            munis eſt à diurna totius mundi conuerſione, ob quam ſpiralem lineam ab vno tropico ad alterum agglo-
              <lb/>
            merare
              <unsure/>
            , quodammodo cogitur; </s>
            <s xml:id="echoid-s13544" xml:space="preserve">quæ non vniformis erit, ſed alibi laxior, alibi anguſtior, prout ſydus apo-
              <lb/>
            gæum, vel perigæum occupauerit.</s>
            <s xml:id="echoid-s13545" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div308" type="section" level="1" n="214">
          <head xml:id="echoid-head229" style="it" xml:space="preserve">Illuminati
            <unsure/>
          o, & vmbra Iouis. Cap. III.</head>
          <p>
            <s xml:id="echoid-s13546" xml:space="preserve">NOn ſecus ac Lunam, & </s>
            <s xml:id="echoid-s13547" xml:space="preserve">Venerem à Sole illuſtrari erediderim; </s>
            <s xml:id="echoid-s13548" xml:space="preserve">præſertim cum vti ſupra dictum eſt, vm-
              <lb/>
            bram à ſole efficiat, eam namq; </s>
            <s xml:id="echoid-s13549" xml:space="preserve">in auerſam a ſole partem proijcit; </s>
            <s xml:id="echoid-s13550" xml:space="preserve">nam nobis manifeſtam ipſius quatuor
              <lb/>
            comites reddiderunt, dum ea ipſos nobis occultare ſolet, ſicu@ infra oſtendetur. </s>
            <s xml:id="echoid-s13551" xml:space="preserve">Eſt igitur corpus opacum,
              <lb/>
            lumenq; </s>
            <s xml:id="echoid-s13552" xml:space="preserve">à ſole recipit, quod flauo colore refulget. </s>
            <s xml:id="echoid-s13553" xml:space="preserve">Longitudinem vmbræ Iouis ſic inueſtigabis, vt in præ-
              <lb/>
            cedentibus, detrahe minimam diſtantiam ſolis 1101. </s>
            <s xml:id="echoid-s13554" xml:space="preserve">a maxima Iouis 4753. </s>
            <s xml:id="echoid-s13555" xml:space="preserve">relinqueturque diſtantia maxima
              <lb/>
            Iouis à Sole 3952. </s>
            <s xml:id="echoid-s13556" xml:space="preserve">ſemid. </s>
            <s xml:id="echoid-s13557" xml:space="preserve">terræ. </s>
            <s xml:id="echoid-s13558" xml:space="preserve">præterea quia diameter Solis ad diameter Iouis eſt ſicuti 26. </s>
            <s xml:id="echoid-s13559" xml:space="preserve">ad 5. </s>
            <s xml:id="echoid-s13560" xml:space="preserve">vt igitur
              <lb/>
            exceſlus illius, qui eſt 21. </s>
            <s xml:id="echoid-s13561" xml:space="preserve">ad 5. </s>
            <s xml:id="echoid-s13562" xml:space="preserve">ita diſtantia eorum 3652. </s>
            <s xml:id="echoid-s13563" xml:space="preserve">ad aliud; </s>
            <s xml:id="echoid-s13564" xml:space="preserve">& </s>
            <s xml:id="echoid-s13565" xml:space="preserve">inuenies 859. </s>
            <s xml:id="echoid-s13566" xml:space="preserve">propè ſemid. </s>
            <s xml:id="echoid-s13567" xml:space="preserve">terræ. </s>
            <s xml:id="echoid-s13568" xml:space="preserve">tanta.
              <lb/>
            </s>
            <s xml:id="echoid-s13569" xml:space="preserve">igitur eſt ad hanc diſtantiam Iouialis vmbra; </s>
            <s xml:id="echoid-s13570" xml:space="preserve">cuius operationis ratio demonſtrata eſt in inuentione terreſtris
              <lb/>
            vmbræ. </s>
            <s xml:id="echoid-s13571" xml:space="preserve">vmbra igitur Iouis non eclipſabit Saturnum, quia ipſe diſtat à Sole, minimum 8365. </s>
            <s xml:id="echoid-s13572" xml:space="preserve">vmbra autem. </s>
            <s xml:id="echoid-s13573" xml:space="preserve">
              <lb/>
            Iouis vna cum diſtantia eius à Sole, extenditur tantummodo 4521.</s>
            <s xml:id="echoid-s13574" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div309" type="section" level="1" n="215">
          <head xml:id="echoid-head230" style="it" xml:space="preserve">Figura Iouis. Cap. IV.</head>
          <p>
            <s xml:id="echoid-s13575" xml:space="preserve">FIguram eius eſſe ſphæricam exiſtimo, non tamen, vt in alijs, omnino perfectam; </s>
            <s xml:id="echoid-s13576" xml:space="preserve">ſed aſperam, vt melius
              <lb/>
            lumen ad terras depellat. </s>
            <s xml:id="echoid-s13577" xml:space="preserve">ſi enim perfectè rotunda eſſet, imperfectè admodum, vel potius minimè vide-
              <lb/>
            ri, contingeret, vnus quippe eius tantum radiolus ad oculos noſtros tenderet.</s>
            <s xml:id="echoid-s13578" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div310" type="section" level="1" n="216">
          <head xml:id="echoid-head231" style="it" xml:space="preserve">Magnitudo Iouis. Cap. V.</head>
          <p>
            <s xml:id="echoid-s13579" xml:space="preserve">MAgnitudo Iouis eodem modo ac cæterorum reſciri poteſt, videlicet ex cognita eius diſtantia necnon
              <lb/>
            ſemidiametro eius apparente, ad eandem diſtantiam. </s>
            <s xml:id="echoid-s13580" xml:space="preserve">vt quoniam eius mediocris diſtantia poſita eſt
              <lb/>
            ſemid. </s>
            <s xml:id="echoid-s13581" xml:space="preserve">3990. </s>
            <s xml:id="echoid-s13582" xml:space="preserve">in qua eius diameter apparens ſubtendit angulum min. </s>
            <s xml:id="echoid-s13583" xml:space="preserve">2 {3/4}. </s>
            <s xml:id="echoid-s13584" xml:space="preserve">ſi igitur conſtruatur triangulum Iſo-
              <lb/>
            ſceles, cuius crura referant diſtantiam, angulus autem contineat min. </s>
            <s xml:id="echoid-s13585" xml:space="preserve">2 {3/4}. </s>
            <s xml:id="echoid-s13586" xml:space="preserve">in eo apparebit baſim habere eam-
              <lb/>
            proportionem ad diametrum terrę, quam habeat 12. </s>
            <s xml:id="echoid-s13587" xml:space="preserve">ad 5. </s>
            <s xml:id="echoid-s13588" xml:space="preserve">vnde ſphærarũ ratio eritſicuti 14. </s>
            <s xml:id="echoid-s13589" xml:space="preserve">ad 1. </s>
            <s xml:id="echoid-s13590" xml:space="preserve">Iupiter igi-
              <lb/>
            tur quaterdecies Tellurem adæquabit. </s>
            <s xml:id="echoid-s13591" xml:space="preserve">cum autem conſtent rationes terræ ad ***, ***, Merc. </s>
            <s xml:id="echoid-s13592" xml:space="preserve">Vener. </s>
            <s xml:id="echoid-s13593" xml:space="preserve">Mart. </s>
            <s xml:id="echoid-s13594" xml:space="preserve">ex
              <lb/>
            ijs deducemus Iou. </s>
            <s xml:id="echoid-s13595" xml:space="preserve">ad ***, eſſe vt 560. </s>
            <s xml:id="echoid-s13596" xml:space="preserve">ad 1. </s>
            <s xml:id="echoid-s13597" xml:space="preserve">ad Mercur. </s>
            <s xml:id="echoid-s13598" xml:space="preserve">vt 280. </s>
            <s xml:id="echoid-s13599" xml:space="preserve">ad 1. </s>
            <s xml:id="echoid-s13600" xml:space="preserve">ad Vener. </s>
            <s xml:id="echoid-s13601" xml:space="preserve">vt 84. </s>
            <s xml:id="echoid-s13602" xml:space="preserve">ad 1. </s>
            <s xml:id="echoid-s13603" xml:space="preserve">ad Mart. </s>
            <s xml:id="echoid-s13604" xml:space="preserve">vt 182. </s>
            <s xml:id="echoid-s13605" xml:space="preserve">ad 1.
              <lb/>
            </s>
            <s xml:id="echoid-s13606" xml:space="preserve">ad ***, vero vt 1. </s>
            <s xml:id="echoid-s13607" xml:space="preserve">ad 10.</s>
            <s xml:id="echoid-s13608" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div311" type="section" level="1" n="217">
          <head xml:id="echoid-head232" style="it" xml:space="preserve">Appendix de calculo Iouis. Cap. VI.</head>
          <p>
            <s xml:id="echoid-s13609" xml:space="preserve">EOdem modo abſoluemus calculum Iouis, & </s>
            <s xml:id="echoid-s13610" xml:space="preserve">Saturni, quo antea Martis abſoluimus; </s>
            <s xml:id="echoid-s13611" xml:space="preserve">ſunt enim tres ſu-
              <lb/>
            periores planetæ perſimiles: </s>
            <s xml:id="echoid-s13612" xml:space="preserve">pro quo ſit Tabula ſequens.</s>
            <s xml:id="echoid-s13613" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
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