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-div138" type="section" level="1" n="88">
          <p>
            <s xml:id="echoid-s6406" xml:space="preserve">
              <pb o="66" file="0086" n="90" rhead="De Mundi Fabrica,"/>
            occultat quia ſub ipſo tunc temporis pertranſit; </s>
            <s xml:id="echoid-s6407" xml:space="preserve">ſiue quia inter oculum noſtrum, & </s>
            <s xml:id="echoid-s6408" xml:space="preserve">eum interponitur. </s>
            <s xml:id="echoid-s6409" xml:space="preserve">At ve-
              <lb/>
            ro Luna nobis Solem eclypſat, reliquoſque planetas, ac ſtellas omnes occulit, igitur indubitato aſſerendum
              <lb/>
            eſt Lunam omnium errantium atq; </s>
            <s xml:id="echoid-s6410" xml:space="preserve">inerrantium ſyderum Telluri proximam circumferri.</s>
            <s xml:id="echoid-s6411" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6412" xml:space="preserve">2 Luna ex omnibus aſtris ſola in vmbram terræincurrit, vt conſtat ex ipſius defectibus; </s>
            <s xml:id="echoid-s6413" xml:space="preserve">ideo enim vt
              <lb/>
            mox dicemus aliquando Luna eclypſim patitur, quod in vmbram terræ inuadat, propterea autem cæteri
              <lb/>
            planetæ ab vmbra terræ non obſcurantur, quod ea ſuperiores, ac altiores incedant; </s>
            <s xml:id="echoid-s6414" xml:space="preserve">igitur Luna omnium ci-
              <lb/>
            tima eſt.</s>
            <s xml:id="echoid-s6415" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6416" xml:space="preserve">3 Ratio deducitur ab vmbris Solis, & </s>
            <s xml:id="echoid-s6417" xml:space="preserve">Lunæ inuicem collatis, hoc modo, oportet vt Sol, & </s>
            <s xml:id="echoid-s6418" xml:space="preserve">Luna ſint in
              <lb/>
            eadem altitudine ſupra horizontem Aſtronomicum, quando eorum vmbrę denotantur, etiamſi obſeruatio-
              <lb/>
              <figure xlink:label="fig-0086-01" xlink:href="fig-0086-01a" number="60">
                <image file="0086-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0086-01"/>
              </figure>
            nes fiant in diuerſis temporibus, v.</s>
            <s xml:id="echoid-s6419" xml:space="preserve">g. </s>
            <s xml:id="echoid-s6420" xml:space="preserve">fit in figura horizon Aſtrono-
              <lb/>
            micus G D H. </s>
            <s xml:id="echoid-s6421" xml:space="preserve">& </s>
            <s xml:id="echoid-s6422" xml:space="preserve">in eadem linea C D. </s>
            <s xml:id="echoid-s6423" xml:space="preserve">hoc eſt in eadem altitudine
              <lb/>
            ſint Sol, & </s>
            <s xml:id="echoid-s6424" xml:space="preserve">Luna in punctis C B. </s>
            <s xml:id="echoid-s6425" xml:space="preserve">ſed ignoretur vter eorum ſit altior.
              <lb/>
            </s>
            <s xml:id="echoid-s6426" xml:space="preserve">erecto igitur Gnomone D A. </s>
            <s xml:id="echoid-s6427" xml:space="preserve">notentur vtriuſque vmbræ in plano
              <lb/>
            horizõtali; </s>
            <s xml:id="echoid-s6428" xml:space="preserve">ſitque aſtri B. </s>
            <s xml:id="echoid-s6429" xml:space="preserve">vmbra D F. </s>
            <s xml:id="echoid-s6430" xml:space="preserve">aſtri etiam C. </s>
            <s xml:id="echoid-s6431" xml:space="preserve">vmbra ſit D E. </s>
            <s xml:id="echoid-s6432" xml:space="preserve">
              <lb/>
            radius aſtri B. </s>
            <s xml:id="echoid-s6433" xml:space="preserve">erit F A B. </s>
            <s xml:id="echoid-s6434" xml:space="preserve">radius autem aſtri C. </s>
            <s xml:id="echoid-s6435" xml:space="preserve">erit E A C. </s>
            <s xml:id="echoid-s6436" xml:space="preserve">qui altius
              <lb/>
            euehitur quam alter radius, ac proinde manifeſtum facit aſtrum C. </s>
            <s xml:id="echoid-s6437" xml:space="preserve">
              <lb/>
            qui Solem refert eſſe à centro D. </s>
            <s xml:id="echoid-s6438" xml:space="preserve">remotius, quàm aſtrum B. </s>
            <s xml:id="echoid-s6439" xml:space="preserve">qui Lu-
              <lb/>
            næ gerit vices. </s>
            <s xml:id="echoid-s6440" xml:space="preserve">ſi quis hanc obſeruationem habere velit, Lunæ mo-
              <lb/>
            tum probæ perſpectum habeat oportet, aliunde quam per noſtrum
              <lb/>
            Quadrantem; </s>
            <s xml:id="echoid-s6441" xml:space="preserve">Luna enim parallaxim exhibet, ideſt, aſpectus varia-
              <lb/>
            tionem à vero ipſius loco, vt paulo poſt patebit. </s>
            <s xml:id="echoid-s6442" xml:space="preserve">Calculus tamen Aſtronomicus verum eius locum, ac pro-
              <lb/>
            inde veram eius altitudinem ſupra horizontem Aſtronomicum manifeſtat. </s>
            <s xml:id="echoid-s6443" xml:space="preserve">habita igitur altitudine eius ſu-
              <lb/>
            pra horizontem, notetur eius vmbra: </s>
            <s xml:id="echoid-s6444" xml:space="preserve">poſtea cum Sol eãdem altitudinem ſortitus fuerit, eius pariter vmbra
              <lb/>
            notetur, quæ perpetuo Lunari vmbra minor erit, ac conſequenter Sol, quam Luna altior conuincetur.</s>
            <s xml:id="echoid-s6445" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6446" xml:space="preserve">Porrò quamuis hæc ratiocinatio præ cæteris melius Soli accommodetur, poterit tamen ad cæteros quo-
              <lb/>
            que planetas transferri, quamuis enim non ita ſplendeant, vt ab ipſis vmbræ corporum proijciantur, vti à
              <lb/>
            Sole, & </s>
            <s xml:id="echoid-s6447" xml:space="preserve">Luna; </s>
            <s xml:id="echoid-s6448" xml:space="preserve">eorum tamen radij qui per verticem Gnomonis tranſeuntes vmbras efficerent, non poſſunt
              <lb/>
            ignorari; </s>
            <s xml:id="echoid-s6449" xml:space="preserve">poſſumus enim loco radiorum accipere radios viſiuos, qui ab oculo noſtro per verticem ſtyli, & </s>
            <s xml:id="echoid-s6450" xml:space="preserve">
              <lb/>
            centrum aſtri ducuntur, ijſque vſque ad horizontale planum productis longitudines vmbrarum illis debita-
              <lb/>
            rum inueſtigare.</s>
            <s xml:id="echoid-s6451" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6452" xml:space="preserve">4 Planeta ille cuius proprius motus magis aduerſatur, ac magis cõtranititur aduerſus motum primi mo-
              <lb/>
            bilis, ideſt, motum diurnum, tanto etiam magis ab eodem primo mobili abſcedere, ac remoueri conueniens
              <lb/>
            eſt ad maiorem vniuerſi concordia: </s>
            <s xml:id="echoid-s6453" xml:space="preserve">ille autem magis primo mobili aduerſatur, (ideſt, motui diurno, qui ve-
              <lb/>
            lociſſimè ab oriente ad occidentem perficitur) qui proprio motu contra ab occidente in orientem velocio@
              <lb/>
            eſt; </s>
            <s xml:id="echoid-s6454" xml:space="preserve">vt conſideranti patet. </s>
            <s xml:id="echoid-s6455" xml:space="preserve">Ex aduerſo planeta ille cuius proprius motus tardior eſt cæteris, minus motui pr@-
              <lb/>
            mi mobilis aduerſatur, ac repugnat; </s>
            <s xml:id="echoid-s6456" xml:space="preserve">& </s>
            <s xml:id="echoid-s6457" xml:space="preserve">ideo conſentaneum eſt eum veluti primo mobili conformiorem, ac
              <lb/>
            amiciorem, eſſe etiam proximiorem. </s>
            <s xml:id="echoid-s6458" xml:space="preserve">Quapropter Saturnus qui cæteris proprio motu tardior eſt, eſt etiam
              <lb/>
            primo mobili propinquior, ac proinde cæteris altior: </s>
            <s xml:id="echoid-s6459" xml:space="preserve">ſub eo lupiter merito deinde collocatur, quia ſicuti eſt
              <lb/>
            Saturno proxime velocior, ita etiam ſit illi propinquior. </s>
            <s xml:id="echoid-s6460" xml:space="preserve">Eadem ratione Mars, qui adhuc velocior eſt, Io-
              <lb/>
            uem ſubſequitur. </s>
            <s xml:id="echoid-s6461" xml:space="preserve">quarto loco Sol ſuccedit, &</s>
            <s xml:id="echoid-s6462" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6463" xml:space="preserve">tandem Luna omnium cit ſſima, omniumq; </s>
            <s xml:id="echoid-s6464" xml:space="preserve">quoque citima
              <lb/>
            ſit neceſſe eſt. </s>
            <s xml:id="echoid-s6465" xml:space="preserve">Cęterum hæc ratio ſic, vt communiter fit ab Aſtronomis, allata, indiget animaduerſione. </s>
            <s xml:id="echoid-s6466" xml:space="preserve">non
              <lb/>
            enim abſolute verum eſt ſydus illud velocius cæteris eſſe, quod citius proprium curſum, per Zodiacum ab-
              <lb/>
            ſoluit. </s>
            <s xml:id="echoid-s6467" xml:space="preserve">ſi enim gy@us illius ſit tanto cæteris minor, vt æquali, ſeu eodem tempore de eo minus ſpatium conſi-
              <lb/>
            ficiat, quam cætera aſtra de ſuis gyris conficiant, erit ſydus illud abſolutè, tardius, v. </s>
            <s xml:id="echoid-s6468" xml:space="preserve">g. </s>
            <s xml:id="echoid-s6469" xml:space="preserve">quia cælum ſeu gyrus
              <lb/>
            Lunæ minor eſt vndeuicies gyro Solis, fit vt etiamſi ipſa eodem tempore, ideſt, anno vno pluſquam duode-
              <lb/>
            cies Zodiacum percurrat, quo tempore eundem Sol ſemel percurrit, non tamen dicenda ſit ſimpliciter velo-
              <lb/>
            cior, ſed tardior. </s>
            <s xml:id="echoid-s6470" xml:space="preserve">qu a nimirum eodem tempore minus ſpatium conficit quam Sol, cùm circuitus eius ſit vn-
              <lb/>
            deuicies minor circuitu ſolari, ac propterea quamuis eodem tempore duodecies, quo Sol ſuum ſemel, abſol-
              <lb/>
            uat, tamen a dhuc re vera tardior eſt; </s>
            <s xml:id="echoid-s6471" xml:space="preserve">quod ſi eum vndeuicies eodem tempore recurreret, tũc æquale ſpatium
              <lb/>
            cum ſpatio Sol spercurreret, eſſetque propterea æqueuelox, acille. </s>
            <s xml:id="echoid-s6472" xml:space="preserve">Luna igitur hac ratione erit non ſo-
              <lb/>
            lum Soli, ſed cæteris planetis abſolutè tardior: </s>
            <s xml:id="echoid-s6473" xml:space="preserve">quæ priori tamen ac vulgari modo conſiderata velociot
              <lb/>
            putabatur.</s>
            <s xml:id="echoid-s6474" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6475" xml:space="preserve">5 Ratio ſumitur à parallaxi, ſeu euariatione, aut commutatione aſpectus de ea igitur in primis non nihil
              <lb/>
            agendum eſt, quæ vt facilius intelligantur, repetenda ſunt ea, quæ ſupra diximus dum Lunæ a terra altitu-
              <lb/>
            dinẽ indagauimus. </s>
            <s xml:id="echoid-s6476" xml:space="preserve">poſtea figura præſens inſpicienda eſt, in qua terræ ſemidiameter eſt A C. </s>
            <s xml:id="echoid-s6477" xml:space="preserve">horizon Aſtro-
              <lb/>
            nomicus C I. </s>
            <s xml:id="echoid-s6478" xml:space="preserve">quadrans F I. </s>
            <s xml:id="echoid-s6479" xml:space="preserve">ſit quadrans meridiani in firmamento, ſeu extimo cælo, in quo loca planetarum
              <lb/>
            conſiderantur. </s>
            <s xml:id="echoid-s6480" xml:space="preserve">circuli B B. </s>
            <s xml:id="echoid-s6481" xml:space="preserve">& </s>
            <s xml:id="echoid-s6482" xml:space="preserve">E E. </s>
            <s xml:id="echoid-s6483" xml:space="preserve">ſint duo cæli. </s>
            <s xml:id="echoid-s6484" xml:space="preserve">in quo ſit duo planetæ B. </s>
            <s xml:id="echoid-s6485" xml:space="preserve">& </s>
            <s xml:id="echoid-s6486" xml:space="preserve">E. </s>
            <s xml:id="echoid-s6487" xml:space="preserve">vterque in duobus locis ſui
              <lb/>
            ci@culi. </s>
            <s xml:id="echoid-s6488" xml:space="preserve">linea C A F. </s>
            <s xml:id="echoid-s6489" xml:space="preserve">aſcendet vſque ad polum horizontis, ſiue verticem F. </s>
            <s xml:id="echoid-s6490" xml:space="preserve">ducantur etiam reliquæ lineæ, à
              <lb/>
            centro terræ C. </s>
            <s xml:id="echoid-s6491" xml:space="preserve">necnon ab oculo noſtro A. </s>
            <s xml:id="echoid-s6492" xml:space="preserve">tranſeuntes per centra plan@tarum E B. </s>
            <s xml:id="echoid-s6493" xml:space="preserve">vſque ad ſirmamentum,
              <lb/>
            ſintque primæ C E|B M. </s>
            <s xml:id="echoid-s6494" xml:space="preserve">A E O. </s>
            <s xml:id="echoid-s6495" xml:space="preserve">A B N. </s>
            <s xml:id="echoid-s6496" xml:space="preserve">aliæ vero ſint C E B G. </s>
            <s xml:id="echoid-s6497" xml:space="preserve">A E H. </s>
            <s xml:id="echoid-s6498" xml:space="preserve">A B K. </s>
            <s xml:id="echoid-s6499" xml:space="preserve">h s pręſtructis explicandus
              <lb/>
            eſt quis ſit locus aſtri viſus, & </s>
            <s xml:id="echoid-s6500" xml:space="preserve">quis verus. </s>
            <s xml:id="echoid-s6501" xml:space="preserve">linea igitur ex centro Mundi C. </s>
            <s xml:id="echoid-s6502" xml:space="preserve">ducta tranſiens per aſtrum vſque
              <lb/>
            ad ſupremum cælum, locum eius verum in eo indicat. </s>
            <s xml:id="echoid-s6503" xml:space="preserve">v.</s>
            <s xml:id="echoid-s6504" xml:space="preserve">g. </s>
            <s xml:id="echoid-s6505" xml:space="preserve">linea C E B M. </s>
            <s xml:id="echoid-s6506" xml:space="preserve">tranſiens per ſydus E. </s>
            <s xml:id="echoid-s6507" xml:space="preserve">vel B. </s>
            <s xml:id="echoid-s6508" xml:space="preserve">indi-
              <lb/>
            cat eorum locum in firmamento eſſe punctum M. </s>
            <s xml:id="echoid-s6509" xml:space="preserve">linea vero A E O. </s>
            <s xml:id="echoid-s6510" xml:space="preserve">ducta ab oculo, noſtro A. </s>
            <s xml:id="echoid-s6511" xml:space="preserve">per ſydus E.</s>
            <s xml:id="echoid-s6512" xml:space="preserve"/>
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