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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        <div xml:id="echoid-div365" type="section" level="1" n="261">
          <p>
            <s xml:id="echoid-s15737" xml:space="preserve">
              <pb o="181" file="0203" n="208" rhead="Liber decimusſeptimus."/>
            aſ@enſio recta ſunt ſemper æquales, nec differunt nifi quia aſcenſio recta refertur ad horizontem ſphæræ re-
              <lb/>
            ctæ; </s>
            <s xml:id="echoid-s15738" xml:space="preserve">Mediatio verò ad Meridianum: </s>
            <s xml:id="echoid-s15739" xml:space="preserve">ſed Meridianus eodem modo ſe habet ad Aequatorem, & </s>
            <s xml:id="echoid-s15740" xml:space="preserve">Zodiacum,
              <lb/>
            atq; </s>
            <s xml:id="echoid-s15741" xml:space="preserve">horizon rectæ ſphæræ, omnis enim Meridianus eſt etiam alicubi horizon ſphæræ rectæ; </s>
            <s xml:id="echoid-s15742" xml:space="preserve">& </s>
            <s xml:id="echoid-s15743" xml:space="preserve">omnis ho-
              <lb/>
            rizon rectus eſt etiam alicubi Meridianus. </s>
            <s xml:id="echoid-s15744" xml:space="preserve">Cæterum Aſtronomi condiderunt Tabulas aſcenſionum recta-
              <lb/>
            rum, ac proinde etiam mediationum cæli; </s>
            <s xml:id="echoid-s15745" xml:space="preserve">necnon aſcenſionum obliquarum omnium arcuum eclipticæ in-
              <lb/>
            cipientium ab initio Arietis, quas huc tranſcribere noſtro inſtituto oneroſius duxi, quam vtilius; </s>
            <s xml:id="echoid-s15746" xml:space="preserve">ponam
              <lb/>
            tamen ſolam hanc Tabellam.</s>
            <s xml:id="echoid-s15747" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div366" type="section" level="1" n="262">
          <head xml:id="echoid-head279" style="it" xml:space="preserve">Aſcenſiones rectæ, ſiue Cæli mediationes 12. ſigni Zodiaci.</head>
          <note position="right" xml:space="preserve">
            <lb/>
          # # # # Gra. # ′.
            <lb/>
          ♈ # ♍ # ♎ # ♓ # 27 # 54
            <lb/>
          ♉ # ♌ # ♏ # ♒ # 29 # 54
            <lb/>
          ♊ # ♋ # ♐ # ♑ # 32 # 12
            <lb/>
          </note>
          <p>
            <s xml:id="echoid-s15748" xml:space="preserve">Vbi vides quatuor ſigna ſuperiora oriri, & </s>
            <s xml:id="echoid-s15749" xml:space="preserve">
              <lb/>
            & </s>
            <s xml:id="echoid-s15750" xml:space="preserve">cælum mediare cum gr. </s>
            <s xml:id="echoid-s15751" xml:space="preserve">27. </s>
            <s xml:id="echoid-s15752" xml:space="preserve">54′. </s>
            <s xml:id="echoid-s15753" xml:space="preserve">quæ eſt eo-
              <lb/>
            rum aſcenſio recta, & </s>
            <s xml:id="echoid-s15754" xml:space="preserve">cæli mediatio. </s>
            <s xml:id="echoid-s15755" xml:space="preserve">ſic qua-
              <lb/>
            tuor ſigna media cum gr. </s>
            <s xml:id="echoid-s15756" xml:space="preserve">29. </s>
            <s xml:id="echoid-s15757" xml:space="preserve">54′. </s>
            <s xml:id="echoid-s15758" xml:space="preserve">tãdem qua-
              <lb/>
            tuor inferiora cũ gr. </s>
            <s xml:id="echoid-s15759" xml:space="preserve">32. </s>
            <s xml:id="echoid-s15760" xml:space="preserve">12′. </s>
            <s xml:id="echoid-s15761" xml:space="preserve">quæ ſunt eorum
              <lb/>
            aſcenſiones rectæ, ſeu cæli mediationes. </s>
            <s xml:id="echoid-s15762" xml:space="preserve">Por-
              <lb/>
            rò
              <unsure/>
            ex ſphæra materiali fabrefacta facilè erit
              <lb/>
            vnicuiq; </s>
            <s xml:id="echoid-s15763" xml:space="preserve">volenti, aſcenfiones omnes rectas, & </s>
            <s xml:id="echoid-s15764" xml:space="preserve">
              <lb/>
            obliquas cuiuſuis puncti, vel arcus inuenire. </s>
            <s xml:id="echoid-s15765" xml:space="preserve">hac ratione rectas aſcenſiones reperies, applica gradum eclipti-
              <lb/>
            cæ oblatum circulo meridiano, & </s>
            <s xml:id="echoid-s15766" xml:space="preserve">numera gradus ab initio ęquatoris vſq; </s>
            <s xml:id="echoid-s15767" xml:space="preserve">ad meridianum procedendo ab oc-
              <lb/>
            caſu ad ortum, ij enim conflant aſcenſionem rectam illius gradus, ſeu etiam mediationem cæli. </s>
            <s xml:id="echoid-s15768" xml:space="preserve">ſimiliter pote-
              <lb/>
            ris reperire omnes aſcenſiones obliquas graduum omnium apud horizontem quemuis; </s>
            <s xml:id="echoid-s15769" xml:space="preserve">necnõ omnes aſcen-
              <lb/>
            ſiones tam rectas, quam obliquas, quorumlibet arcuum eclipticæ. </s>
            <s xml:id="echoid-s15770" xml:space="preserve">verum quiddam hic mirum conſiderandum
              <lb/>
            occurrit, arcus nimirum omnes primæ quartæ Zodiaci quæ habet gr. </s>
            <s xml:id="echoid-s15771" xml:space="preserve">90. </s>
            <s xml:id="echoid-s15772" xml:space="preserve">inchoati ab initio ♈, & </s>
            <s xml:id="echoid-s15773" xml:space="preserve">deſinentes
              <lb/>
            vbicumq; </s>
            <s xml:id="echoid-s15774" xml:space="preserve">habere aſcenſiones rectas ſe minores, in fine tamen quartæ, ideſt, in fine ♊, totam quartam habere
              <lb/>
            aſcenſionem rectam ſibi æqualem. </s>
            <s xml:id="echoid-s15775" xml:space="preserve">ſic in preſenti Tabella, vides arcum ♈, habere aſcenſionem rectam 25. </s>
            <s xml:id="echoid-s15776" xml:space="preserve">54′.
              <lb/>
            </s>
            <s xml:id="echoid-s15777" xml:space="preserve">ſe minorem, & </s>
            <s xml:id="echoid-s15778" xml:space="preserve">arcum conſtantem ex ♈, & </s>
            <s xml:id="echoid-s15779" xml:space="preserve">♉, ideſt, gr. </s>
            <s xml:id="echoid-s15780" xml:space="preserve">60. </s>
            <s xml:id="echoid-s15781" xml:space="preserve">habere aſcenſionem rectam gr. </s>
            <s xml:id="echoid-s15782" xml:space="preserve">57. </s>
            <s xml:id="echoid-s15783" xml:space="preserve">48′. </s>
            <s xml:id="echoid-s15784" xml:space="preserve">adhuc ſe mi-
              <lb/>
            norem: </s>
            <s xml:id="echoid-s15785" xml:space="preserve">totam verò quartam, ideſt, ♈, ♉, ♊, quæ habet gr. </s>
            <s xml:id="echoid-s15786" xml:space="preserve">90. </s>
            <s xml:id="echoid-s15787" xml:space="preserve">habere aſcenſionem rectam gr. </s>
            <s xml:id="echoid-s15788" xml:space="preserve">90. </s>
            <s xml:id="echoid-s15789" xml:space="preserve">ſibi æqua-
              <lb/>
            lem. </s>
            <s xml:id="echoid-s15790" xml:space="preserve">idem pulchrè contemplari poteris inſphæra materiali promouendo lente primum mobile ad occiden
              <lb/>
            tem, & </s>
            <s xml:id="echoid-s15791" xml:space="preserve">interim dum partes Zodiaci meridianum pertranſeunt, vel horizontem rectũ, intuere partes æqua-
              <lb/>
            toris eas concomitantes, & </s>
            <s xml:id="echoid-s15792" xml:space="preserve">oculis ipſis rem totam percipies, & </s>
            <s xml:id="echoid-s15793" xml:space="preserve">intelliges. </s>
            <s xml:id="echoid-s15794" xml:space="preserve">de alijs verò quartis tibi iudi-
              <lb/>
            candum relinquo.</s>
            <s xml:id="echoid-s15795" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div367" type="section" level="1" n="263">
          <head xml:id="echoid-head280" style="it" xml:space="preserve">Lumen affixarum. Cap. XII.</head>
          <p>
            <s xml:id="echoid-s15796" xml:space="preserve">QVæritur num recipiant lumen à Sole, ac proinde aliena Solis luce reſplendeant, ſicuti Luna, Venus, & </s>
            <s xml:id="echoid-s15797" xml:space="preserve">
              <lb/>
            cæteri planetæ. </s>
            <s xml:id="echoid-s15798" xml:space="preserve">Reſpondeo igitur probabiliter exiſtimandum eſſe, eas a Sole luminum parente collu-
              <lb/>
            ſtrari, lucemq; </s>
            <s xml:id="echoid-s15799" xml:space="preserve">ab eo gratis acceptam, gratis quoque terrigenis mortalibus reflectere: </s>
            <s xml:id="echoid-s15800" xml:space="preserve">vmbras vero
              <lb/>
            omnes ſurſum proijcere: </s>
            <s xml:id="echoid-s15801" xml:space="preserve">quæ quantæ ſint nimis curioſum eſt indagare. </s>
            <s xml:id="echoid-s15802" xml:space="preserve">Ego tamen poſita earum à Sole di-
              <lb/>
            ſtantia 13000. </s>
            <s xml:id="echoid-s15803" xml:space="preserve">ſemid. </s>
            <s xml:id="echoid-s15804" xml:space="preserve">terræ, comperi ſtellas primæ magnitudinis vmbram proijcere ſemid. </s>
            <s xml:id="echoid-s15805" xml:space="preserve">terræ 65000. </s>
            <s xml:id="echoid-s15806" xml:space="preserve">lon-
              <lb/>
            gam, quod ſane mirum eſt. </s>
            <s xml:id="echoid-s15807" xml:space="preserve">conicæ tamen erunt, quoniam affixæ primæ magnitudinis ſunt minores Sole,
              <lb/>
            vt mox apparebit.</s>
            <s xml:id="echoid-s15808" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s15809" xml:space="preserve">Sed cur ſcintillant, & </s>
            <s xml:id="echoid-s15810" xml:space="preserve">præ cæteris nonnullæ maximè, vti Procyon, & </s>
            <s xml:id="echoid-s15811" xml:space="preserve">Syrius? </s>
            <s xml:id="echoid-s15812" xml:space="preserve">Exiſtimo ſcintillationem
              <lb/>
            ſtellarum nihil aliud eſſe quam tremorem quendam luminis apparẽtem propter intercurſantium vaporum
              <lb/>
            variam infractionem. </s>
            <s xml:id="echoid-s15813" xml:space="preserve">cuius rei primum ſit argumentum, quòd illæ, magis ſcintillant, quæ horizonti propio-
              <lb/>
            res ſunt, vbi ſcilicet maior halituum aſcendentium turba exiſtit; </s>
            <s xml:id="echoid-s15814" xml:space="preserve">quæ verò vertici propiores, minus, vbi vide-
              <lb/>
            licet halituum minor multiplicatio exiſtit, ita vt ſupra 45. </s>
            <s xml:id="echoid-s15815" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s15816" xml:space="preserve">altitudinis ab horizonte (vbi ſecundum proba-
              <lb/>
            tiores Aſtronomos, ſenſibilis refractio deſinit) nihil micent. </s>
            <s xml:id="echoid-s15817" xml:space="preserve">ſecundum ſit, quod Luna, Sol, & </s>
            <s xml:id="echoid-s15818" xml:space="preserve">quoduis aliud
              <lb/>
            obiectum ob fumum interpoſitum tremere videntur, qui tremor, ſi parua eſſent obiecta ſecundum apparen-
              <lb/>
            tiam, vti ſunt ſtellæ, diceretur ſcintillatio. </s>
            <s xml:id="echoid-s15819" xml:space="preserve">qui tremor tanto magis apparet, quãto longius à nobis obiectum
              <lb/>
            fuerit. </s>
            <s xml:id="echoid-s15820" xml:space="preserve">quare minimè mirum ſit, ſi cæteris paribus planetæ, qui nobis propiores ſunt quam fixæ, minorem
              <lb/>
            quoq; </s>
            <s xml:id="echoid-s15821" xml:space="preserve">quam ipſæ ſcintilationem exhibent. </s>
            <s xml:id="echoid-s15822" xml:space="preserve">præterea planetæ cum ſint affixis maiores, magnitudine hac ſua,
              <lb/>
            melius refractioni, ac tremori reſiſtunt, vti de Sole, & </s>
            <s xml:id="echoid-s15823" xml:space="preserve">Luna ſupra tactum eſt. </s>
            <s xml:id="echoid-s15824" xml:space="preserve">Lapilli ſub currenti aqua tre-
              <lb/>
            muli, & </s>
            <s xml:id="echoid-s15825" xml:space="preserve">veluti ſcintillantes ſpectantur; </s>
            <s xml:id="echoid-s15826" xml:space="preserve">quippe quod in ſtellis efficlt intercurſans halitus, in lapillis ſupra cur-
              <lb/>
            rens aqua efficiat. </s>
            <s xml:id="echoid-s15827" xml:space="preserve">Porrò Procyon, & </s>
            <s xml:id="echoid-s15828" xml:space="preserve">Sirius, quamuis magnitudine ſua nonnullos planetas adæquent, valde
              <lb/>
            tamenſcintillant, quoniam in noſtris regionibus vix ad altitudinem 45. </s>
            <s xml:id="echoid-s15829" xml:space="preserve">graduum aſcendunt, ſed vt pluri-
              <lb/>
            mum propè horizontem pone multos vapores incedunt, ac propterea tremuli, & </s>
            <s xml:id="echoid-s15830" xml:space="preserve">micantes apparent, idque
              <lb/>
            minus quò altius meant. </s>
            <s xml:id="echoid-s15831" xml:space="preserve">vide P. </s>
            <s xml:id="echoid-s15832" xml:space="preserve">Chriſtophorum Scheiner de cæleſtibus refractionibus.</s>
            <s xml:id="echoid-s15833" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div368" type="section" level="1" n="264">
          <head xml:id="echoid-head281" style="it" xml:space="preserve">Figura affixarum. Cap. XIII.</head>
          <p>
            <s xml:id="echoid-s15834" xml:space="preserve">OStenſum eſt Terrã, Aquam, Lunam, Venerem, Solem, globoſa eſſe corpora; </s>
            <s xml:id="echoid-s15835" xml:space="preserve">vnde pariter reliquos Pla-
              <lb/>
            netos globoſos eſſe credidimus. </s>
            <s xml:id="echoid-s15836" xml:space="preserve">ijſdem igitur rationibus exiſtimandum eſt inerrantes quoq; </s>
            <s xml:id="echoid-s15837" xml:space="preserve">ſphærica fi-
              <lb/>
            gura eſſe præditas.</s>
            <s xml:id="echoid-s15838" xml:space="preserve"/>
          </p>
        </div>
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