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-div304" type="section" level="1" n="211">
          <pb o="148" file="0170" n="175" rhead="De Mundi Fabrica,"/>
        </div>
        <div xml:id="echoid-div305" type="section" level="1" n="212">
          <head xml:id="echoid-head226" xml:space="preserve">LIBER DECIMVSQVARTVS
            <lb/>
          DE IOVE.</head>
          <head xml:id="echoid-head227" style="it" xml:space="preserve">Locus, ſeu diſtantia Iouis à terra. Cap. I.</head>
          <p>
            <s xml:id="echoid-s13407" xml:space="preserve">SVpra Martis reuolutiones, communis Aſtronomorũ ſententia, Iouis circulationes ſtatuit. </s>
            <s xml:id="echoid-s13408" xml:space="preserve">Primo quia in
              <lb/>
            mutuis eorum Synodis ſydus Martis occultat ſydus Iouis; </s>
            <s xml:id="echoid-s13409" xml:space="preserve">quod euincit Ioue
              <unsure/>
            m ſupra Martem incedere.
              <lb/>
            </s>
            <s xml:id="echoid-s13410" xml:space="preserve">Eadem ratione ipſe Iupiter infra Saturnum collocatur. </s>
            <s xml:id="echoid-s13411" xml:space="preserve">Secundo Iupiter minorem exhibet parallaxim,
              <lb/>
            quam Mars; </s>
            <s xml:id="echoid-s13412" xml:space="preserve">maiorem vero quam Saturnus, ex Tychone: </s>
            <s xml:id="echoid-s13413" xml:space="preserve">igitur medius intra eos reſidebit. </s>
            <s xml:id="echoid-s13414" xml:space="preserve">Tertio ex motuũ
              <lb/>
            velocitate idem conijcitur, eſt enim Marte velocior, Saturno vero tardior; </s>
            <s xml:id="echoid-s13415" xml:space="preserve">medius igitur ei locus conceda-
              <lb/>
            tur. </s>
            <s xml:id="echoid-s13416" xml:space="preserve">diſtantiam vero Iouis a terra mediocrem, ex Tychone, pono eſſe ſemid. </s>
            <s xml:id="echoid-s13417" xml:space="preserve">terrę 3990. </s>
            <s xml:id="echoid-s13418" xml:space="preserve">quam ipſe ex deprę-
              <lb/>
            henſa accuratè eius parallaxi, deduxit. </s>
            <s xml:id="echoid-s13419" xml:space="preserve">ſed alio modo, & </s>
            <s xml:id="echoid-s13420" xml:space="preserve">quidem peracuto, quem nuper Pater Chriſtophorus
              <lb/>
            Scheiner in ſuis Mathem. </s>
            <s xml:id="echoid-s13421" xml:space="preserve">diſquiſitionibus expoſuit, diſtantia huius planetæ à terra inueſtigari poteſt: </s>
            <s xml:id="echoid-s13422" xml:space="preserve">qui
              <lb/>
            modus nititur motibus ſatellitum Iouis, quos ope Teleſcopij acutiſſimus Galilæus omnium primus mundo
              <lb/>
            reuelauit, vt ſuo loco dicetur. </s>
            <s xml:id="echoid-s13423" xml:space="preserve">ſunt autem quatuor paruæ ſtellulæ, quæ perpetuo circa Iouem circumferun-
              <lb/>
            tur, eo modo quo Mercurius, & </s>
            <s xml:id="echoid-s13424" xml:space="preserve">Venus circa Solem. </s>
            <s xml:id="echoid-s13425" xml:space="preserve">Verum præſens figura inſpiciatur, in qua ſidus A. </s>
            <s xml:id="echoid-s13426" xml:space="preserve">ſit
              <lb/>
              <figure xlink:label="fig-0170-01" xlink:href="fig-0170-01a" number="101">
                <image file="0170-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0170-01"/>
              </figure>
            Iupiter. </s>
            <s xml:id="echoid-s13427" xml:space="preserve">B, Terra. </s>
            <s xml:id="echoid-s13428" xml:space="preserve">C, Sol iam demerſus: </s>
            <s xml:id="echoid-s13429" xml:space="preserve">fiat igitur trigonum
              <lb/>
            A B C, cuius latus A B, referat diſtantiam Iouis a terra, cuius
              <lb/>
            quantitas indaganda proponitur. </s>
            <s xml:id="echoid-s13430" xml:space="preserve">circelli 4. </s>
            <s xml:id="echoid-s13431" xml:space="preserve">circa Iouem de-
              <lb/>
            ſcripti, ſunt ij, quos eius comites N G D K. </s>
            <s xml:id="echoid-s13432" xml:space="preserve">circa eum deſcri-
              <lb/>
            bunt, quorum Ioui propinquior D S L F. </s>
            <s xml:id="echoid-s13433" xml:space="preserve">percurritur a ſtella
              <lb/>
            D, quam nunc aſſumimus. </s>
            <s xml:id="echoid-s13434" xml:space="preserve">conus A Y, niger, eſt vmbra Iouis
              <lb/>
            quam ipſius hi comites manifeſtam reddiderunt, dum in ea
              <lb/>
            (non ſecus ac Luna in vmbra terræ) latitantes, ſuos quandoq;
              <lb/>
            </s>
            <s xml:id="echoid-s13435" xml:space="preserve">inſpectores deludunt. </s>
            <s xml:id="echoid-s13436" xml:space="preserve">Prænotandũ etiam eſt ſtellam ſeu pla-
              <lb/>
            netam D, ſuam circa louẽ reuolutionem abſoluere hor. </s>
            <s xml:id="echoid-s13437" xml:space="preserve">42 {1/2}. </s>
            <s xml:id="echoid-s13438" xml:space="preserve">
              <lb/>
            eundemq; </s>
            <s xml:id="echoid-s13439" xml:space="preserve">bis ſupra Iouem latere; </s>
            <s xml:id="echoid-s13440" xml:space="preserve">latet enim primo directè
              <lb/>
            ſupra Iouem apud S, ob Iouis interpoſitionem, & </s>
            <s xml:id="echoid-s13441" xml:space="preserve">fulgorem. </s>
            <s xml:id="echoid-s13442" xml:space="preserve">
              <lb/>
            ſecũdo quando in vmbram propè V, incurrit. </s>
            <s xml:id="echoid-s13443" xml:space="preserve">oportet igitur
              <lb/>
            diligenter obſeruare tẽpus quod à prima latebra S, ad ſecun-
              <lb/>
            dam V, intercedit. </s>
            <s xml:id="echoid-s13444" xml:space="preserve">quo tempore conficit arcum S V, ex noti-
              <lb/>
            tia enim huius temporis innoteſcet arcus S V, & </s>
            <s xml:id="echoid-s13445" xml:space="preserve">conſequen-
              <lb/>
            ter angulus S A V, ei inſiſtens; </s>
            <s xml:id="echoid-s13446" xml:space="preserve">hoc modo; </s>
            <s xml:id="echoid-s13447" xml:space="preserve">ponamus tempus
              <lb/>
            illud ex obſeruatione depræhenſum, duarum eſſe horarum; </s>
            <s xml:id="echoid-s13448" xml:space="preserve">
              <lb/>
            iam ſic per auream Arithm. </s>
            <s xml:id="echoid-s13449" xml:space="preserve">regulam ratiocinandũ eſt; </s>
            <s xml:id="echoid-s13450" xml:space="preserve">ſi hor. </s>
            <s xml:id="echoid-s13451" xml:space="preserve">
              <lb/>
            42 {1/2}. </s>
            <s xml:id="echoid-s13452" xml:space="preserve">ſtella D, perficit totum gyrum, ſeu gr. </s>
            <s xml:id="echoid-s13453" xml:space="preserve">360. </s>
            <s xml:id="echoid-s13454" xml:space="preserve">duabus horis
              <lb/>
            quot gradus percurret, inueniemus gr. </s>
            <s xml:id="echoid-s13455" xml:space="preserve">17 {1/7}. </s>
            <s xml:id="echoid-s13456" xml:space="preserve">ergo arcus S V, & </s>
            <s xml:id="echoid-s13457" xml:space="preserve">
              <lb/>
            proinde angulus S A V, erit totidem graduum; </s>
            <s xml:id="echoid-s13458" xml:space="preserve">quare & </s>
            <s xml:id="echoid-s13459" xml:space="preserve">an-
              <lb/>
            gulus B A C, ei ad verticem, & </s>
            <s xml:id="echoid-s13460" xml:space="preserve">æqualis per 15. </s>
            <s xml:id="echoid-s13461" xml:space="preserve">primi, erit pa-
              <lb/>
            riter gr. </s>
            <s xml:id="echoid-s13462" xml:space="preserve">17 {1/7}. </s>
            <s xml:id="echoid-s13463" xml:space="preserve">eſt autem angulus trianguli B A B, ſed angulus
              <lb/>
            quoque B, cognoſcitur, continet enim diſtantiam inter Io-
              <lb/>
            uem, & </s>
            <s xml:id="echoid-s13464" xml:space="preserve">Solem in Zodiaco, quã refert arcus R Q C, ex B, de-
              <lb/>
            ſcriptus; </s>
            <s xml:id="echoid-s13465" xml:space="preserve">quem Aſtronomos tum ex obſeruatione, tum ex cal-
              <lb/>
            culo cognoſcere poſſe certum eſt. </s>
            <s xml:id="echoid-s13466" xml:space="preserve">Latus præterea B C, cum
              <lb/>
            ſit diſtantia Solis à terra, notum eſt. </s>
            <s xml:id="echoid-s13467" xml:space="preserve">Cum igitur in hoc triangulo A B C, noti ſunt duo anguli cum vno late-
              <lb/>
            re, patet ex Apparatu noſtro, nos poſſe cognoſcere laterũ proportiones. </s>
            <s xml:id="echoid-s13468" xml:space="preserve">quare non latebit quoties latus B C,
              <lb/>
            notum, contineatur in B A, vnde nota euadet B A, diſtantia Iouis a terra, quod erat inquirendum. </s>
            <s xml:id="echoid-s13469" xml:space="preserve">Verum
              <lb/>
            opus eſt pluribus accuratiſq; </s>
            <s xml:id="echoid-s13470" xml:space="preserve">obſeruationibus, ijſque optimo Teleſcopio peractis.</s>
            <s xml:id="echoid-s13471" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div307" type="section" level="1" n="213">
          <head xml:id="echoid-head228" style="it" xml:space="preserve">Motus Iouis. Cap. II.</head>
          <p>
            <s xml:id="echoid-s13472" xml:space="preserve">VT Aſtronomi obſeruationes, quam in motibus Iouis habuerunt, ſaluare poſſent, ſuppoſuerunt gyrum,
              <lb/>
            ſiue regionem eius, eſſe centro mundi eccentricam; </s>
            <s xml:id="echoid-s13473" xml:space="preserve">ſed habere pro centro Solem, quemadmodũ etiam
              <lb/>
            Mars; </s>
            <s xml:id="echoid-s13474" xml:space="preserve">quare eandem figuram, quam pro Marte conſtruximus, nũc Ioui applicare poſſumus, variatis tantum-
              <lb/>
            modo diſtantijs, & </s>
            <s xml:id="echoid-s13475" xml:space="preserve">magnitudinibus. </s>
            <s xml:id="echoid-s13476" xml:space="preserve">Ea igitur nunc repetatur, in qua epicyclus, & </s>
            <s xml:id="echoid-s13477" xml:space="preserve">eccentricus modi Ioui in-
              <lb/>
            ſeruiant. </s>
            <s xml:id="echoid-s13478" xml:space="preserve">linea igitur T M, quæ refert mediocrem planetæ diſtantiam a terra, continebit nunc ſemid. </s>
            <s xml:id="echoid-s13479" xml:space="preserve">terræ
              <lb/>
            3990. </s>
            <s xml:id="echoid-s13480" xml:space="preserve">linea vero T P, multo longior quã in Marte erit; </s>
            <s xml:id="echoid-s13481" xml:space="preserve">quippe quod Iupiter non deſcendat intra Solis regio-
              <lb/>
            nem, quanta autem ſit, non definio. </s>
            <s xml:id="echoid-s13482" xml:space="preserve">debet tamen eſſe breuior, quam T M, ideſt, cont@nere pauciores ſemid.
              <lb/>
            </s>
            <s xml:id="echoid-s13483" xml:space="preserve">quam 3990. </s>
            <s xml:id="echoid-s13484" xml:space="preserve">linea autem T E A, quæ maximam, & </s>
            <s xml:id="echoid-s13485" xml:space="preserve">apogæam remotionem planetę refert, maior quidem </s>
          </p>
        </div>
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    </echo>
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