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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      <text xml:lang="la" type="free">
        <div xml:id="echoid-div247" type="section" level="1" n="164">
          <pb o="123" file="0145" n="150" rhead="Liber Decimus."/>
          <p>
            <s xml:id="echoid-s11915" xml:space="preserve">Sed quæritur, cur in omni nouilunio, Solẽ Luna nobis non adimat? </s>
            <s xml:id="echoid-s11916" xml:space="preserve">Cauſa eſt inclinatio viæ Lunaris a via
              <lb/>
            Solis, quæ eſt eclyptica; </s>
            <s xml:id="echoid-s11917" xml:space="preserve">ſæpè enim nouiluniun accidit adeo longè ab interſectionibus harum viarum, ſeua
              <lb/>
            nodis, vt diſtantia luminarium tanta ſit quæ luminaria ipſa ſibi viſibiliter copultari non permitat. </s>
            <s xml:id="echoid-s11918" xml:space="preserve">in nodis
              <lb/>
            viæ vniuntur, poſtea deinceps ſemper magis vſque ad gra. </s>
            <s xml:id="echoid-s11919" xml:space="preserve">5. </s>
            <s xml:id="echoid-s11920" xml:space="preserve">dilatantur; </s>
            <s xml:id="echoid-s11921" xml:space="preserve">quare aliquando tanta eſt dilatatio
              <lb/>
            hæc vt diſtantiam prædictam importet. </s>
            <s xml:id="echoid-s11922" xml:space="preserve">deſinierunt autem Aſtronomi diſfantias quaſdam a nodis, quas ter-
              <lb/>
            minos eclipticos vocarunt, eo quod intra illos terminos, eclypſes contingant. </s>
            <s xml:id="echoid-s11923" xml:space="preserve">ſuntautem alij termini poſ-
              <lb/>
            ſibiles, intra quos ſcilicet eclypſis poteſt quidem fieri, ſed non neceſſario fit alij ſunt termini neceſſarij, intra
              <lb/>
            quos exiſtente nouilunio, neceſſario ſequitur Solis defectus. </s>
            <s xml:id="echoid-s11924" xml:space="preserve">& </s>
            <s xml:id="echoid-s11925" xml:space="preserve">quoniam duplex faciunt nouilunium, mediũ
              <lb/>
            ſcilicet, & </s>
            <s xml:id="echoid-s11926" xml:space="preserve">verum, ponam Solum neceſſarios terminos veri nouilunij. </s>
            <s xml:id="echoid-s11927" xml:space="preserve">quando igitur in nouilunijs veris,
              <lb/>
            Luna exiſtens borealis, non diſtiterit a nodis pluſquam gra. </s>
            <s xml:id="echoid-s11928" xml:space="preserve">15.</s>
            <s xml:id="echoid-s11929" xml:space="preserve">{1/2}. </s>
            <s xml:id="echoid-s11930" xml:space="preserve">exiſtens vero auſtralis, non aberit pluſquam
              <lb/>
            gra. </s>
            <s xml:id="echoid-s11931" xml:space="preserve">7. </s>
            <s xml:id="echoid-s11932" xml:space="preserve">neceſſario Solem obſcurabit; </s>
            <s xml:id="echoid-s11933" xml:space="preserve">tantoque maior erit obſcuratio, quanto nodis proprior fuerit. </s>
            <s xml:id="echoid-s11934" xml:space="preserve">maxima
              <lb/>
            vero in ipſis nodis. </s>
            <s xml:id="echoid-s11935" xml:space="preserve">cur autem in boreali latitudine Lunæ, maiores ſint termini, quam in auſtrali, cauſa eſt
              <lb/>
            Lunæ parallaxis, quæ in latitudine boreali, eam deprimit verſus Solem, ideſt, facit latitudinem Lunæ appa-
              <lb/>
            rere minorem, quam ſit. </s>
            <s xml:id="echoid-s11936" xml:space="preserve">è contra in auſtrali parallaxis eam deprimit a Sole, ideſt, maiorem facit Lunæ lati-
              <lb/>
            tudinem apparere quam ſit; </s>
            <s xml:id="echoid-s11937" xml:space="preserve">quare in hac parte niſi Luna vere parum diſtet a via Solis, quod non niſi apud
              <lb/>
            nodos accidit, nimirum ob parallaxim detrahitur a Sole, ita vteum occultare nequeat. </s>
            <s xml:id="echoid-s11938" xml:space="preserve">in parte boreali
              <lb/>
            quamuis Luna habeat magnam latitudinem, & </s>
            <s xml:id="echoid-s11939" xml:space="preserve">conſequenter plus diſtet a nodis, quia tamen parallax@s eam
              <lb/>
            verſus Solem deprimit, ideo poteſt Soli opponi, ſicque eclypſim eſſicere. </s>
            <s xml:id="echoid-s11940" xml:space="preserve">fateor tamen hanc ſpeculatio-
              <lb/>
            nem eſſe ſatis difficilem, adhibita tamen ſphæra materiali, in qua lunarem viam ritè capi
              <unsure/>
            amus oculumque
              <lb/>
            noſtrum in terra poſitum ad Lunam aſpicere, ac parallaxim efficere imaginemur, non difficile erit totam
              <lb/>
            hanc rem percipere.</s>
            <s xml:id="echoid-s11941" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div249" type="section" level="1" n="165">
          <head xml:id="echoid-head177" style="it" xml:space="preserve">Qua ratione ſolaris eclypſis magnitudo facillimè obſeruetur.</head>
          <p>
            <s xml:id="echoid-s11942" xml:space="preserve">DE hac re fuſius ſcripſi in opere de locis Mathem. </s>
            <s xml:id="echoid-s11943" xml:space="preserve">Ariſt. </s>
            <s xml:id="echoid-s11944" xml:space="preserve">ad Problem. </s>
            <s xml:id="echoid-s11945" xml:space="preserve">10. </s>
            <s xml:id="echoid-s11946" xml:space="preserve">ſect. </s>
            <s xml:id="echoid-s11947" xml:space="preserve">15. </s>
            <s xml:id="echoid-s11948" xml:space="preserve">nunc rem paucis perſtrin-
              <lb/>
            gam: </s>
            <s xml:id="echoid-s11949" xml:space="preserve">tempore igitur ſolaris defectus, intra parietes vſpiam clauſis omnibus feneſtris, ad mittatur ſo laris
              <lb/>
            radius per anguſtum foramen rotundum, excipiaturq; </s>
            <s xml:id="echoid-s11950" xml:space="preserve">radius hic perpendiculari-
              <lb/>
              <figure xlink:label="fig-0145-01" xlink:href="fig-0145-01a" number="91">
                <image file="0145-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0145-01"/>
              </figure>
            ter in plana Tabella: </s>
            <s xml:id="echoid-s11951" xml:space="preserve">vbi certo quantum Sol defecerit, ad vnguem licet videre,
              <lb/>
            abſque vlla intuitus moleſtia, ac tam perfectè, ac ſi in cœlo coram adeſſes. </s>
            <s xml:id="echoid-s11952" xml:space="preserve">illumi-
              <lb/>
            natio enim Solis, quæ alias rotunda eſſet, erit temporis eclypſis pariter defectiua,
              <lb/>
            totamq; </s>
            <s xml:id="echoid-s11953" xml:space="preserve">defectus varietatem repræſentabit: </s>
            <s xml:id="echoid-s11954" xml:space="preserve">quamuis inuerſo ſitu, ob cauſam ſupe-
              <lb/>
            rius tactam. </s>
            <s xml:id="echoid-s11955" xml:space="preserve">initio enim eclypſis, hæc illuminatio defectiua apparebit ex parte oc-
              <lb/>
            cidentis, contrario ſitu, quam in Sole ipſo, conſimili tamen magnitudine, & </s>
            <s xml:id="echoid-s11956" xml:space="preserve">dura-
              <lb/>
            tione. </s>
            <s xml:id="echoid-s11957" xml:space="preserve">quantaigitur pars illius illuminationis defecerit, præſertim circa medium
              <lb/>
            eclypſis, tanta quoque pars ſolaris diſci obſcurabitur. </s>
            <s xml:id="echoid-s11958" xml:space="preserve">oportet igitur imaginem il-
              <lb/>
            lius illuminationis in Tabella delineare, totamq; </s>
            <s xml:id="echoid-s11959" xml:space="preserve">eius diametrum in partes 12. </s>
            <s xml:id="echoid-s11960" xml:space="preserve">di-
              <lb/>
            uidere; </s>
            <s xml:id="echoid-s11961" xml:space="preserve">quas Aſtronomi digitos eclypticos vocant. </s>
            <s xml:id="echoid-s11962" xml:space="preserve">tandemq; </s>
            <s xml:id="echoid-s11963" xml:space="preserve">obſeruare quot di-
              <lb/>
            giti obſcurentur, magnitudo enim ex numero digitorum deficientium deſumi-
              <lb/>
            tur, vt in hac figura, vides quatuor tantum digitos, ſeu tertiam partem diametri illuminationis, ac pro-
              <lb/>
            inde Solis, defeciſſe.</s>
            <s xml:id="echoid-s11964" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div251" type="section" level="1" n="166">
          <head xml:id="echoid-head178" style="it" xml:space="preserve">Corollarium de miraculoſa eclypſi Solis in paſſione Domini.</head>
          <p>
            <s xml:id="echoid-s11965" xml:space="preserve">EX prædictis de ſolari defectu, manifeſtum fit quam miraculoſum, quamque contra naturæ leges, exti-
              <lb/>
            terit ſolare illud deliquium, quod paſſionis Domini Noſtri tempore factum eſt. </s>
            <s xml:id="echoid-s11966" xml:space="preserve">primo quia tempore
              <lb/>
            plenilunij contigit, quando Luna Soli diametraliter oppoſita, nnllo modo eum occultare poteſt. </s>
            <s xml:id="echoid-s11967" xml:space="preserve">Secun-
              <lb/>
            do quia non ſolum fuit totale, quo ſcilicet totus Sol obſcuraretur, ſed etiam vniuerſale, ideſt, per vniuer-
              <lb/>
            ſam terram, quod non ſolet. </s>
            <s xml:id="echoid-s11968" xml:space="preserve">Tertio quoniam Sol obſcurari cæpit ex parte orientis, ex parte vero occiden-
              <lb/>
            tis deſijt, contra ordinem naturæ: </s>
            <s xml:id="echoid-s11969" xml:space="preserve">quemadmodum ſe obſeruaſſe narrat Beatus Dionyſius Areopagita, & </s>
            <s xml:id="echoid-s11970" xml:space="preserve">in
              <lb/>
            Epiſt. </s>
            <s xml:id="echoid-s11971" xml:space="preserve">7. </s>
            <s xml:id="echoid-s11972" xml:space="preserve">ad Polycarpum, & </s>
            <s xml:id="echoid-s11973" xml:space="preserve">in 11. </s>
            <s xml:id="echoid-s11974" xml:space="preserve">ad Apollophanem philoſophum, cum quo apud Heliopolim in Aegy-
              <lb/>
            pto, hanc ſimul eclypſim obſeruarunt, atque admirati ſunt vehementer, adeo vt Apollophanes dixerit; </s>
            <s xml:id="echoid-s11975" xml:space="preserve">hæ
              <lb/>
            ſunt, ò bone Dionyſi, rerum viciſſitudines diuinarum. </s>
            <s xml:id="echoid-s11976" xml:space="preserve">alij etiam tradunt ipſum Beatum Dionyſium excla-
              <lb/>
            maſſe, aut Deus naturæ patitur, aut mundi machina diſſoluetur. </s>
            <s xml:id="echoid-s11977" xml:space="preserve">Quarto quoniam vt ſe vidiſſe, ibidem te-
              <lb/>
            ſtatur Beatus Dionyſius, Luna ex oppoſito Solis, progreſſa eſt ad coniunctionem, contra ordinem proprij
              <lb/>
            motus: </s>
            <s xml:id="echoid-s11978" xml:space="preserve">mouebatur enim ab oriente in occidentem. </s>
            <s xml:id="echoid-s11979" xml:space="preserve">vnde factum eſt, vt ex parte orientis primo Solem in-
              <lb/>
            uaſerit. </s>
            <s xml:id="echoid-s11980" xml:space="preserve">Quinto neceſſe etiam eſt Lunam humilius ſolito, atque infra ſuum cælum inceſſiſſe, vt toti terræ
              <lb/>
            @otum Solem occultaret. </s>
            <s xml:id="echoid-s11981" xml:space="preserve">ſicque tenebræ per vniuerſam terram effunderentur. </s>
            <s xml:id="echoid-s11982" xml:space="preserve">quanto enim oculis noſtris
              <lb/>
            opacum quodpiam propius fit. </s>
            <s xml:id="echoid-s11983" xml:space="preserve">tanto maius ſpatium nobis occultat. </s>
            <s xml:id="echoid-s11984" xml:space="preserve">Sed maximè duæ citatæ Beati Diony-
              <lb/>
            ſij Epiſt. </s>
            <s xml:id="echoid-s11985" xml:space="preserve">dignæ ſunt quæ legantur.</s>
            <s xml:id="echoid-s11986" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
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