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-div353" type="section" level="1" n="251">
          <p>
            <s xml:id="echoid-s15028" xml:space="preserve">
              <pb o="175" file="0197" n="202" rhead="Liber Decimusſeptimus."/>
            culos ſatis magnos, eoſque ſingulos diuide in quatuor partes æquales. </s>
            <s xml:id="echoid-s15029" xml:space="preserve">poſtea huic puncto qui ho-
              <lb/>
              <figure xlink:label="fig-0197-01" xlink:href="fig-0197-01a" number="109">
                <image file="0197-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0197-01"/>
              </figure>
            rum circulorum polus eſt, affige ex altero extremo regulam flexibilem, oblongam, ſed anguſtam.
              <lb/>
            </s>
            <s xml:id="echoid-s15030" xml:space="preserve">hanc, manente illa extremitate in polo, extende per puncta quadrifariam circulos ſecantia, de-
              <lb/>
            ſcribendo ſecus eam, lineam in ſuperficie globi, ſic deſcribes quattuor lineas, ſeu quattuor ſemi-
              <lb/>
            circulos tranſeuntes per quattuor circulorum diuiſiones, qui ſemicirculi concurrent in punctum. </s>
            <s xml:id="echoid-s15031" xml:space="preserve">
              <lb/>
            priori puncto diametraliter oppoſitum: </s>
            <s xml:id="echoid-s15032" xml:space="preserve">eruntque ambo eclipticæ poli. </s>
            <s xml:id="echoid-s15033" xml:space="preserve">Ex quibus deſcribe ecli-
              <lb/>
            pticam ipſam, necnon Zodiacum, Aequatorem, Tropicos, ac Circulos polares, vt in apparatu
              <lb/>
            de conſtructione Sphæræ materialis docuimus. </s>
            <s xml:id="echoid-s15034" xml:space="preserve">deinde diuide Eclipticam, & </s>
            <s xml:id="echoid-s15035" xml:space="preserve">Aequatorem in. </s>
            <s xml:id="echoid-s15036" xml:space="preserve">
              <lb/>
            gr. </s>
            <s xml:id="echoid-s15037" xml:space="preserve">360. </s>
            <s xml:id="echoid-s15038" xml:space="preserve">initio facto a ſectione, quam Verni Aequinoctij eſſe volueris. </s>
            <s xml:id="echoid-s15039" xml:space="preserve">in ecliptica diſtincta ſint 12. </s>
            <s xml:id="echoid-s15040" xml:space="preserve">
              <lb/>
            ſigna, cum ſuis characteribus ♈, ♉, &</s>
            <s xml:id="echoid-s15041" xml:space="preserve">c. </s>
            <s xml:id="echoid-s15042" xml:space="preserve">poſtea prædictam regulam ita diſpone, vt vtroque extremo
              <lb/>
            in polis iam inuentis affixa, ſit inſtar ſemicirculi volubilis circa globum, ipſum leniter radens: </s>
            <s xml:id="echoid-s15043" xml:space="preserve">latus
              <lb/>
            verò vnum regulæ tranſeat præcisè per polos eclipticæ ſi producatur, quod latus ſolet dici linea,
              <lb/>
            fiduciæ. </s>
            <s xml:id="echoid-s15044" xml:space="preserve">ſed huius ſemicircularis regulæ inſpice hanc figuram, cuius duo extrema A B. </s>
            <s xml:id="echoid-s15045" xml:space="preserve">ſunt perfo-
              <lb/>
            rata, vt axi globi extra polos extanti affigi poſſit, atq; </s>
            <s xml:id="echoid-s15046" xml:space="preserve">in eo conuolui, latus A C B. </s>
            <s xml:id="echoid-s15047" xml:space="preserve">quod eſt linea fi-
              <lb/>
            duciæ tranſiens per polos A B. </s>
            <s xml:id="echoid-s15048" xml:space="preserve">diuidatur bifariam in C. </s>
            <s xml:id="echoid-s15049" xml:space="preserve">à quo verſus vtrumq; </s>
            <s xml:id="echoid-s15050" xml:space="preserve">extremum diuidatur
              <lb/>
            in gr. </s>
            <s xml:id="echoid-s15051" xml:space="preserve">90. </s>
            <s xml:id="echoid-s15052" xml:space="preserve">ad ipſos polos deſinentes, ſicut figura indicat. </s>
            <s xml:id="echoid-s15053" xml:space="preserve">Adaptatur igitur hic ſemicirculus vt ſit mo-
              <lb/>
            bilis in polis eclip@icæ, erit inſtar omnium circulorum latitudinis, qui concipi poſſunt. </s>
            <s xml:id="echoid-s15054" xml:space="preserve">Iam diuide
              <lb/>
            totum globum in 12. </s>
            <s xml:id="echoid-s15055" xml:space="preserve">ſectiones æquales, ducendo lineas à polis eclipticæ tranſeuntes per ſingula ſin-
              <lb/>
            gulorum initia, ſic enim erit totus globus diuiſus in 12. </s>
            <s xml:id="echoid-s15056" xml:space="preserve">oblongas ſectiones, quæ erunt inſtar 11. </s>
            <s xml:id="echoid-s15057" xml:space="preserve">Pe-
              <lb/>
            ponis ſectiones æquales, & </s>
            <s xml:id="echoid-s15058" xml:space="preserve">vnaquæq; </s>
            <s xml:id="echoid-s15059" xml:space="preserve">erit eiuſdem appellationis cum eo ſigno, quod in eius medio
              <lb/>
            exiſtet. </s>
            <s xml:id="echoid-s15060" xml:space="preserve">Globo igitur ſic parato, ei ſic vnamquamq; </s>
            <s xml:id="echoid-s15061" xml:space="preserve">Stellam loco ſibi debito appinges. </s>
            <s xml:id="echoid-s15062" xml:space="preserve">Stellæ illius,
              <lb/>
            quæ in globo pingenda eſt, accipe ex ſuperiori Catalogo primo eius longitudinem, eamq; </s>
            <s xml:id="echoid-s15063" xml:space="preserve">in ecli-
              <lb/>
            ptica numera ab initio Arietis, & </s>
            <s xml:id="echoid-s15064" xml:space="preserve">vbi terminabitur eius longitudo, ibi ſtatue ſemicirculum mobilẽ: </s>
            <s xml:id="echoid-s15065" xml:space="preserve">
              <lb/>
            deinde ex Catalogo accipe eiuſdem Stellæ latitudinem Boream, vel Auſtrinam, eamq; </s>
            <s xml:id="echoid-s15066" xml:space="preserve">numera in
              <lb/>
            ipſo ſemicirculo facto initio ab ecliptica verſus Boream, vel Auſtrum, prout oportuerit, atq; </s>
            <s xml:id="echoid-s15067" xml:space="preserve">in fi-
              <lb/>
            ne, ſeu termino huius numerationis, ſeu latitudinis, depinge colore aureo aſſumptam Stellam, cum
              <lb/>
            charactere magnitudinis eius, aut coloris: </s>
            <s xml:id="echoid-s15068" xml:space="preserve">exemplum. </s>
            <s xml:id="echoid-s15069" xml:space="preserve">Arcturi Stellam ſic inſcribes; </s>
            <s xml:id="echoid-s15070" xml:space="preserve">ex catalogo
              <lb/>
            præmiſſo accipe eius longitudinem, quæ terminatur in gr. </s>
            <s xml:id="echoid-s15071" xml:space="preserve">18. </s>
            <s xml:id="echoid-s15072" xml:space="preserve">min. </s>
            <s xml:id="echoid-s15073" xml:space="preserve">30. </s>
            <s xml:id="echoid-s15074" xml:space="preserve">Libræ; </s>
            <s xml:id="echoid-s15075" xml:space="preserve">ideo ad hunc gradum
              <lb/>
            ſtatue ſemicirculum, quo ibi manente accipe eiuſdem latitudinem, quæ eſt gr. </s>
            <s xml:id="echoid-s15076" xml:space="preserve">31. </s>
            <s xml:id="echoid-s15077" xml:space="preserve">min. </s>
            <s xml:id="echoid-s15078" xml:space="preserve">2. </s>
            <s xml:id="echoid-s15079" xml:space="preserve">Borealis: </s>
            <s xml:id="echoid-s15080" xml:space="preserve">
              <lb/>
            numera igitur eam in ſemicirculo verſus Boream gr. </s>
            <s xml:id="echoid-s15081" xml:space="preserve">31. </s>
            <s xml:id="echoid-s15082" xml:space="preserve">2. </s>
            <s xml:id="echoid-s15083" xml:space="preserve">ibiq; </s>
            <s xml:id="echoid-s15084" xml:space="preserve">depinge Stellam auream, cum cha
              <lb/>
            ractere primæ Magnitudinis, quæ Arcturum referet: </s>
            <s xml:id="echoid-s15085" xml:space="preserve">idem facito cum reliquis Arcturi Stellis: </s>
            <s xml:id="echoid-s15086" xml:space="preserve">po-
              <lb/>
            ſtea figuram ipſius Arcturi circa haſce ſtellas colore intermortuo, vel debili delinea, ne cõſtellatio-
              <lb/>
            nis huius Stellæ nimis offuſcentur. </s>
            <s xml:id="echoid-s15087" xml:space="preserve">in quo hodie plurimum peccatur, dum potius animalia quæ-
              <lb/>
            dam, authomines, quam Stellæ pingi videntur. </s>
            <s xml:id="echoid-s15088" xml:space="preserve">eodem modo omnes Aratææ Sphæræ aſteriſmos
              <lb/>
            delineabis.</s>
            <s xml:id="echoid-s15089" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15090" xml:space="preserve">Porrò Galaxiam ſic delineabis. </s>
            <s xml:id="echoid-s15091" xml:space="preserve">color totius Globi ſit cæruleus, viæ verò lacteæ ſubalbidus: </s>
            <s xml:id="echoid-s15092" xml:space="preserve">ea au
              <lb/>
            tem has conſtellationes peruadit, Centaurum Nauim; </s>
            <s xml:id="echoid-s15093" xml:space="preserve">inter Oriona, & </s>
            <s xml:id="echoid-s15094" xml:space="preserve">minorẽ Canem, pedes Eri-
              <lb/>
            chthonij, Perſeum, Caſſiopeam, caput Cephei, Cygnum, Sagittarium, Aquilam, Antinoum, Sa-
              <lb/>
            gittarium, Aram. </s>
            <s xml:id="echoid-s15095" xml:space="preserve">in Cygno tamen diuiditur in duos ramos, quorum vnus per dictos aſteriſmos
              <lb/>
            tranſit, alter verò inter Lyram, & </s>
            <s xml:id="echoid-s15096" xml:space="preserve">Aquilam deſcendit ad Ophiucum per Serpentem, & </s>
            <s xml:id="echoid-s15097" xml:space="preserve">per caudam
              <lb/>
            Scorpij incedens, quoad cum priori ramo ad Centaurum vniatur. </s>
            <s xml:id="echoid-s15098" xml:space="preserve">Ex hac tandem Stellarum de-
              <lb/>
            ſcriptione oritur eorum noua in 12. </s>
            <s xml:id="echoid-s15099" xml:space="preserve">Zodiaci ſigna diuiſio; </s>
            <s xml:id="echoid-s15100" xml:space="preserve">nam ductis, vti d ximus, ex polis ecl pti-
              <lb/>
            cæ 12. </s>
            <s xml:id="echoid-s15101" xml:space="preserve">latitudinem circulis, totum cælum inſtar Peponis in 12. </s>
            <s xml:id="echoid-s15102" xml:space="preserve">ſegmenta diuiditur, quæ ab vno polo
              <lb/>
            ad alterum pertinent; </s>
            <s xml:id="echoid-s15103" xml:space="preserve">continentq; </s>
            <s xml:id="echoid-s15104" xml:space="preserve">ſingula ſigna, & </s>
            <s xml:id="echoid-s15105" xml:space="preserve">omnes etiã Stellas, denominantq; </s>
            <s xml:id="echoid-s15106" xml:space="preserve">ab eo ſigno,
              <lb/>
            quod in medio cuiuſq; </s>
            <s xml:id="echoid-s15107" xml:space="preserve">eſt: </s>
            <s xml:id="echoid-s15108" xml:space="preserve">omnes igitur Stellæ, quæ ſunt v. </s>
            <s xml:id="echoid-s15109" xml:space="preserve">g. </s>
            <s xml:id="echoid-s15110" xml:space="preserve">in eo ſegmẽto, quod tranſit per Arie-
              <lb/>
            tem, dicuntur eſſe in Ariete, etiamſi ſint Zodiaci poli vicinæ, aliæ eodem modo in Tauro, &</s>
            <s xml:id="echoid-s15111" xml:space="preserve">c.</s>
            <s xml:id="echoid-s15112" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15113" xml:space="preserve">Hiſce peractis globo Meridianum, & </s>
            <s xml:id="echoid-s15114" xml:space="preserve">Horizontem accommoda, ita tamen, vt circa polos æqua-
              <lb/>
            toris diurno motu expeditè reuoluatur. </s>
            <s xml:id="echoid-s15115" xml:space="preserve">adde tandem circuli quartam in gr. </s>
            <s xml:id="echoid-s15116" xml:space="preserve">90. </s>
            <s xml:id="echoid-s15117" xml:space="preserve">diuiſam, quæ altero
              <lb/>
            extremo hærens Meridiano in vertice Horizontis, poſſit circa ſuperius hemiſphærium circumduci, ad om-
              <lb/>
            nes videlicet verticales, hæc dicitur quarta altitudinum, cuius officium mox apparebit.</s>
            <s xml:id="echoid-s15118" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div355" type="section" level="1" n="252">
          <head xml:id="echoid-head269" style="it" xml:space="preserve">De Stellis in Cælo dignoſcendis. Cap. VI.</head>
          <p>
            <s xml:id="echoid-s15119" xml:space="preserve">QVoniam iucundum, atq; </s>
            <s xml:id="echoid-s15120" xml:space="preserve">vtile eſt Stellas cæli non de facie tantum, ſed eas diſtinctè internoſcere, atque
              <lb/>
            vnamquamq; </s>
            <s xml:id="echoid-s15121" xml:space="preserve">proprio nomine compellare: </s>
            <s xml:id="echoid-s15122" xml:space="preserve">ideò per Aratæam Sphæram id facilè ſic aſſequemur. </s>
            <s xml:id="echoid-s15123" xml:space="preserve">Eam
              <lb/>
            igitur primò omnium oportet aſtronomicè collocare, eo modo, quo etiam Sphæram Armillarem
              <lb/>
            collocare docuimus; </s>
            <s xml:id="echoid-s15124" xml:space="preserve">ſed amplius oportet aſſumere gradum Solis in Zodiaco, eumq; </s>
            <s xml:id="echoid-s15125" xml:space="preserve">infra horizontem occi-
              <lb/>
            duum iuxta nocturnas horas elapſas deprimere: </s>
            <s xml:id="echoid-s15126" xml:space="preserve">quod fiet ſi pro ſingulis horis ab occaſu Solis deſcendent gr.
              <lb/>
            </s>
            <s xml:id="echoid-s15127" xml:space="preserve">15. </s>
            <s xml:id="echoid-s15128" xml:space="preserve">Aequatoris cum ipſo gradu Solis: </s>
            <s xml:id="echoid-s15129" xml:space="preserve">in hoc enim Globi ſtatu omnes Stellæ, & </s>
            <s xml:id="echoid-s15130" xml:space="preserve">conſtellationes in Globo de-
              <lb/>
            pictas directè reſpicient ſtellas, & </s>
            <s xml:id="echoid-s15131" xml:space="preserve">conſtellationes, & </s>
            <s xml:id="echoid-s15132" xml:space="preserve">omnes, quarum ſunt imagines; </s>
            <s xml:id="echoid-s15133" xml:space="preserve">vnde quodammodo eas
              <lb/>
            nobis oſtendent, & </s>
            <s xml:id="echoid-s15134" xml:space="preserve">notificabunt. </s>
            <s xml:id="echoid-s15135" xml:space="preserve">Aliter ſic, ſi nota ſit tibi Stella quæpiam, quam tunc videas, accipe eius alti-
              <lb/>
            tudinem ſupra horizontem per Quadrantem; </s>
            <s xml:id="echoid-s15136" xml:space="preserve">deinde Sphæram motu diurno ita reuolue, donec Stella illa
              <lb/>
            in Globo depicta eadem altitudinem ſupra materialem horizontem obtineat; </s>
            <s xml:id="echoid-s15137" xml:space="preserve">quam altitudinem in quarta </s>
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