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-div150" type="section" level="1" n="94">
          <p>
            <s xml:id="echoid-s7308" xml:space="preserve">
              <pb o="73" file="0095" n="99" rhead="Liber Nonus."/>
            de gracilior, vnde, & </s>
            <s xml:id="echoid-s7309" xml:space="preserve">eclypſis minor, & </s>
            <s xml:id="echoid-s7310" xml:space="preserve">breuior: </s>
            <s xml:id="echoid-s7311" xml:space="preserve">aliquando in inferiori, vnde eclypſis maior, ac diuturnior,
              <lb/>
            quæ melius intelligentur, cum de motu etiam Solis tractatum fuerit.</s>
            <s xml:id="echoid-s7312" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7313" xml:space="preserve">Tandem non prætereundum Lunarium eclypſium loca non eſſe ſemper eadẽ, ſed perpetuo quamuis len-
              <lb/>
            rè mutari contra ſignorum ſucceſſionem, cuius cauſa redditur, quia illi viarum occurſus ſeu Nodi apud quos
              <lb/>
            fiunt eclypſes, mouentur contra ſignorum ordinem; </s>
            <s xml:id="echoid-s7314" xml:space="preserve">totumque Zodiacum peragrant in annis 19. </s>
            <s xml:id="echoid-s7315" xml:space="preserve">circiter,
              <lb/>
            vti ſupra patuit: </s>
            <s xml:id="echoid-s7316" xml:space="preserve">quarefit vtipſa eclypſium loca pariter permutentur.</s>
            <s xml:id="echoid-s7317" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div152" type="section" level="1" n="95">
          <head xml:id="echoid-head105" style="it" xml:space="preserve">Vmbra Lunæ. Cap. VI.</head>
          <p>
            <s xml:id="echoid-s7318" xml:space="preserve">CVm Lunæ corpus non ſit omnino diaphanum, vti probatum eſt, atque ex vna parte lumen Solis ſiſtat,
              <lb/>
            ac reuerberet, neceſſario ex altera parte vmbram proijciet atque hæc ſit cauſa. </s>
            <s xml:id="echoid-s7319" xml:space="preserve">neque vero deeſt expe-
              <lb/>
            rientia, nam quando Sol eclypſatur ſeu eclypſari videtur, id accidit quia Luna Soli ita ſupponitur, vt lumen
              <lb/>
            Solis nobis auferat, ac proinde vmbram ſupra nos demittat. </s>
            <s xml:id="echoid-s7320" xml:space="preserve">Quamobrem in hoc ſolari defectu, nos ipſi verè
              <lb/>
            lumine priuamur, eo quod ſub vmbra Lunæ ſimus. </s>
            <s xml:id="echoid-s7321" xml:space="preserve">quod melius pateſcet cum oſtenderimus prædicto Lunæ
              <lb/>
            obiectu Solem nobis auferri. </s>
            <s xml:id="echoid-s7322" xml:space="preserve">Manifeſta eſt igitur vmbra Lunæ.</s>
            <s xml:id="echoid-s7323" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7324" xml:space="preserve">Iam vero qualis, quantaque ſit, vt determinetur, neceſſe eſt hæc præſcire. </s>
            <s xml:id="echoid-s7325" xml:space="preserve">Primo proportionem corporis
              <lb/>
            Lunæ, ac Solis. </s>
            <s xml:id="echoid-s7326" xml:space="preserve">Secundo earum ab inuicem diſtantiam. </s>
            <s xml:id="echoid-s7327" xml:space="preserve">Tertio, vtrumque eſſe ſphæricum. </s>
            <s xml:id="echoid-s7328" xml:space="preserve">quibus habitis
              <lb/>
            poſſumus conſtruere ſiguram habentem veras proportiones, in qua duæ lineæ tangentes vtrinque Solem, & </s>
            <s xml:id="echoid-s7329" xml:space="preserve">
              <lb/>
            Lunam, concurrent vltra Lunam, quia Sole minor eſt, & </s>
            <s xml:id="echoid-s7330" xml:space="preserve">oſtendent quantitatem, ac figuram Lunaris vmbræ.
              <lb/>
            </s>
            <s xml:id="echoid-s7331" xml:space="preserve">ſic fecimus in conſtructione veræ figuræ pag. </s>
            <s xml:id="echoid-s7332" xml:space="preserve">79. </s>
            <s xml:id="echoid-s7333" xml:space="preserve">in vmbra terræ, vbi apparet hanc vmbram eſſe conicam, ea-
              <lb/>
            dem ratione, qua vmbram terræ. </s>
            <s xml:id="echoid-s7334" xml:space="preserve">apparet etiam longam eſſe ſemid. </s>
            <s xml:id="echoid-s7335" xml:space="preserve">terræ ferè 60. </s>
            <s xml:id="echoid-s7336" xml:space="preserve">exiſtente Luna inter nos,
              <lb/>
            & </s>
            <s xml:id="echoid-s7337" xml:space="preserve">Solem in mediocri diſtantia. </s>
            <s xml:id="echoid-s7338" xml:space="preserve">quæ longitudo exactè per circinum examinatur, ex qua conſtat vmbræ huius
              <lb/>
            longitudinem tranſcendere terram aliquot ſemidiametris ipſius terræ; </s>
            <s xml:id="echoid-s7339" xml:space="preserve">ac proinde poſſe aliquando terram,
              <lb/>
            non tamen totam obumbrare; </s>
            <s xml:id="echoid-s7340" xml:space="preserve">vt facit in Solis defectibus. </s>
            <s xml:id="echoid-s7341" xml:space="preserve">non totam obũbrat quia Luna eſt minor terra qua-
              <lb/>
            dragies; </s>
            <s xml:id="echoid-s7342" xml:space="preserve">idcirco vmbra gracilior erit quam terra, maxime vero a pud verticem, qua terra inumbrat. </s>
            <s xml:id="echoid-s7343" xml:space="preserve">reliqua
              <lb/>
            in tract. </s>
            <s xml:id="echoid-s7344" xml:space="preserve">de eclypſi Solis. </s>
            <s xml:id="echoid-s7345" xml:space="preserve">quando vero Luna Soli opponitur longiſſimam vmbram emittit, cuius longitudinẽ
              <lb/>
            eadem via inueſtigabis. </s>
            <s xml:id="echoid-s7346" xml:space="preserve">præterea etiam Geometricè, ſicuti in vmbra terræ factum eſt. </s>
            <s xml:id="echoid-s7347" xml:space="preserve">exiſtente Luna in op-
              <lb/>
            poſitione eius, maxima a Sole diſtantia erit ſemidiametrum terræ 1247. </s>
            <s xml:id="echoid-s7348" xml:space="preserve">diameter Solis ad diametrum Lunæ
              <lb/>
            eſt ſicuti 26. </s>
            <s xml:id="echoid-s7349" xml:space="preserve">ad {1/3}. </s>
            <s xml:id="echoid-s7350" xml:space="preserve">ex quibus ſicuti in vmbra terræ inueſtiganda per regulam proportionum feci, vt 24 {2/3}. </s>
            <s xml:id="echoid-s7351" xml:space="preserve">ad 1 {3/1}
              <lb/>
            ideſt, vt excelſus diametri Solis ſupra diametrum Lunæ, ita diſtantia 1247. </s>
            <s xml:id="echoid-s7352" xml:space="preserve">ad 67. </s>
            <s xml:id="echoid-s7353" xml:space="preserve">quare ibi vmbra Luna elon. </s>
            <s xml:id="echoid-s7354" xml:space="preserve">
              <lb/>
            gabitur ſemid. </s>
            <s xml:id="echoid-s7355" xml:space="preserve">terræ 67. </s>
            <s xml:id="echoid-s7356" xml:space="preserve">& </s>
            <s xml:id="echoid-s7357" xml:space="preserve">quia Luna ipſa diſtat tunc a terra ſemid. </s>
            <s xml:id="echoid-s7358" xml:space="preserve">56. </s>
            <s xml:id="echoid-s7359" xml:space="preserve">circiter, ideo apex vmbræ à terra di-
              <lb/>
            ſtabit ſemid. </s>
            <s xml:id="echoid-s7360" xml:space="preserve">132. </s>
            <s xml:id="echoid-s7361" xml:space="preserve">vnde colligitur Martem ab vmbra Lunæ minimè eclypſari poſſe, cum à terra diſter ſemi-
              <lb/>
            diametris 761. </s>
            <s xml:id="echoid-s7362" xml:space="preserve">minimum.</s>
            <s xml:id="echoid-s7363" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div153" type="section" level="1" n="96">
          <head xml:id="echoid-head106" style="it" xml:space="preserve">De Figura Lunæ. Cap. VII.</head>
          <p>
            <s xml:id="echoid-s7364" xml:space="preserve">CVm oſtenſum ſit Lunam ſphæricè, ſeu in ſphæræ modum illuminari, neceſſario cogimur aſſerere eam
              <lb/>
            quoque ſphæricam eſſe, aliter enim ad eum, quem vidimus modum neutiquam varias exhiberet illumi-
              <lb/>
            nationes. </s>
            <s xml:id="echoid-s7365" xml:space="preserve">Porrò ſuperiores Aſtronomi exiſtimarunt eam eſſe perfectè ſphæricam, ideſt, habere ſuperſiciem
              <lb/>
            terſam, ac læuigatam, cum eam cernerent, ſpeculi inſtar perpoliti, lumen reuerberare: </s>
            <s xml:id="echoid-s7366" xml:space="preserve">tum etiam quia opina-
              <lb/>
            bantur cæleſtia corpora perfectis, ſeu geometricis figuris eſſe prædita. </s>
            <s xml:id="echoid-s7367" xml:space="preserve">Præterea quia linea illa, quæ terminus
              <lb/>
            eſt partis illuſtratæ, ac tenebroſæ, putabatur ab eis minimè eſſe anfractuoſa, & </s>
            <s xml:id="echoid-s7368" xml:space="preserve">aſpera, ſed eſſe linea curua, cir-
              <lb/>
            cularis, vniformis, ac regularis (vti ſolet eſſe circuli peripheria in globo deſcripta) talis enim viſui apparet.
              <lb/>
            </s>
            <s xml:id="echoid-s7369" xml:space="preserve">at vero noſtra tempeſtate Teleſcopij auxilio rem aliter ſe habere ſupra oſtendimus.</s>
            <s xml:id="echoid-s7370" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7371" xml:space="preserve">Dicimus igitur Lunæ ſphæricitatem non eſſe perfectam, ſed aſperam, & </s>
            <s xml:id="echoid-s7372" xml:space="preserve">inæqualem, vti etiam eſt terræ.
              <lb/>
            </s>
            <s xml:id="echoid-s7373" xml:space="preserve">quod ab inæqualitate, ac tortuoſitate prædicti confinij conuincitur; </s>
            <s xml:id="echoid-s7374" xml:space="preserve">quæ aliunde oriri nequit, quam ex Lunæ
              <lb/>
            partibus, tum altioribus, tũ depreſſioribus, quæ Solis propterea lumen inæqualiter, ac diſſormiter excipiunt. </s>
            <s xml:id="echoid-s7375" xml:space="preserve">
              <lb/>
            ſicuti videre eſt in pila ruida, & </s>
            <s xml:id="echoid-s7376" xml:space="preserve">montuoſa Soli expoſita. </s>
            <s xml:id="echoid-s7377" xml:space="preserve">Secundo, idem confirmantareolæ illæ, in parte ad-
              <lb/>
            huc tenebroſa exiſtentes, & </s>
            <s xml:id="echoid-s7378" xml:space="preserve">tamen illuminatæ, quæ nihil aliud eſſe poſſe videntur, quam vertices quidam re-
              <lb/>
            liquis partibus altiores, qui propterea prius lumen recipiant. </s>
            <s xml:id="echoid-s7379" xml:space="preserve">Tertio idem probant areolæ aliæ rotundæ in
              <lb/>
            parte luminoſa propè confinium conſpectæ, quarum parsoccidentalis, ideſt, quæ Soli propior eſt, vmbroſa
              <lb/>
            eſt, quia videlicet ſunt concauitates quædam quarum profunditates non ſtatim Sol illuminat, ſed prius par-
              <lb/>
            tem orientalem, quia Soli prius exponitur; </s>
            <s xml:id="echoid-s7380" xml:space="preserve">poſtremo partem occidentalem, quia vltima Soli obuertitur: </s>
            <s xml:id="echoid-s7381" xml:space="preserve">ſicu-
              <lb/>
            ti proporcionaliter accidit in illuminatione vallium terreſtrium. </s>
            <s xml:id="echoid-s7382" xml:space="preserve">quod in pila parua concauitates habentes
              <lb/>
            experiri potes. </s>
            <s xml:id="echoid-s7383" xml:space="preserve">Quarto denique qu@a, ſi eſſet geometricè rotunda, lumen Solis a ſe reflexum adeo in varias
              <lb/>
            partes diſpergeret, vt nos aut nihil de eo, aut ferè nihil, videremus. </s>
            <s xml:id="echoid-s7384" xml:space="preserve">Simile quotidie obſeruo in ſphęris æneis,
              <lb/>
            quæ in campananiorum ſummitatibus lumẽ Solis reflectũt, quæ quo ſunt perfectiores, ac terſiores, eò minus
              <lb/>
            de Solis lumine, ad meum oculum reflectunt; </s>
            <s xml:id="echoid-s7385" xml:space="preserve">vnde etiamſi magnæ ſint, illuminatio tamen earum reflexa ad
              <lb/>
            eundem oculum, exigua eſt. </s>
            <s xml:id="echoid-s7386" xml:space="preserve">quanto autem aſperiores, ac ruidiores ſunt, tanto maiorem mihi exhibent illu-
              <lb/>
            minationem. </s>
            <s xml:id="echoid-s7387" xml:space="preserve">in hunc igitur finem Luna montuoſa, & </s>
            <s xml:id="echoid-s7388" xml:space="preserve">aſpera eſt, vt plenius, ac maius lumen terræ ſibi cogna-
              <lb/>
            tæ reuerberet. </s>
            <s xml:id="echoid-s7389" xml:space="preserve">Quinto, ſi eſſet perfectè rotunda, eſſet ſpeculum conuexum, cuius eſt (vt Catoptrica docet, ac
              <lb/>
            experientia conſtat) rerum imagines parua reddere, ſic Luna Solis imaginem exiguam valde, ac ferè pun-
              <lb/>
            ctualem nobis reuerberaret. </s>
            <s xml:id="echoid-s7390" xml:space="preserve">ex Aguillonio. </s>
            <s xml:id="echoid-s7391" xml:space="preserve">Cur ergo non ſphærica, ſed plana à nobis iudicatur? </s>
            <s xml:id="echoid-s7392" xml:space="preserve"/>
          </p>
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