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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    <echo version="1.0RC">
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        <div xml:id="echoid-div120" type="section" level="1" n="80">
          <p>
            <s xml:id="echoid-s5754" xml:space="preserve">
              <pb o="58" file="0078" n="82" rhead="De Mundi Fabrica"/>
            cundum ſoliditates, hoc modo, numeri in quibus noti ſunt diametri ſcribuntur ſic 1,52. </s>
            <s xml:id="echoid-s5755" xml:space="preserve">horũ proportio con-
              <lb/>
            tinuatur vſque ad quatuor terminos ſic 1. </s>
            <s xml:id="echoid-s5756" xml:space="preserve">52. </s>
            <s xml:id="echoid-s5757" xml:space="preserve">2,704. </s>
            <s xml:id="echoid-s5758" xml:space="preserve">140,608. </s>
            <s xml:id="echoid-s5759" xml:space="preserve">ideſt ita vt ſit eadẽ ratio primi ad ſecundum, quę
              <lb/>
            ſecundi ad tertium, & </s>
            <s xml:id="echoid-s5760" xml:space="preserve">tertij ad quartum, ſicuti eſt in iſtis. </s>
            <s xml:id="echoid-s5761" xml:space="preserve">Iam vt Euclides propoſ. </s>
            <s xml:id="echoid-s5762" xml:space="preserve">18. </s>
            <s xml:id="echoid-s5763" xml:space="preserve">12. </s>
            <s xml:id="echoid-s5764" xml:space="preserve">Elem. </s>
            <s xml:id="echoid-s5765" xml:space="preserve">demonſtrat,
              <lb/>
            eadem cſt proportio primi, 1. </s>
            <s xml:id="echoid-s5766" xml:space="preserve">ad vltimum 140,608. </s>
            <s xml:id="echoid-s5767" xml:space="preserve">quæ minoris ſphærę ad maiorem, ideſt quartum ſemidia-
              <lb/>
            metri ſunt vt 1. </s>
            <s xml:id="echoid-s5768" xml:space="preserve">ad 2. </s>
            <s xml:id="echoid-s5769" xml:space="preserve">quare tota ſphæra ſublunar@s toties continet terræ globum, quoties num. </s>
            <s xml:id="echoid-s5770" xml:space="preserve">140,608. </s>
            <s xml:id="echoid-s5771" xml:space="preserve">con-
              <lb/>
              <note position="right" xlink:label="note-0078-01" xlink:href="note-0078-01a" xml:space="preserve">
                <lb/>
              Terra # 2′290.
                <lb/>
              Aqua # 1.
                <lb/>
              Aer # 86.
                <lb/>
              Aether # 321′992′320.
                <lb/>
              </note>
            tinet vnitatem. </s>
            <s xml:id="echoid-s5772" xml:space="preserve">eodem modo ad reliqua elementa, aquam, aerem, &</s>
            <s xml:id="echoid-s5773" xml:space="preserve">c. </s>
            <s xml:id="echoid-s5774" xml:space="preserve">compara-
              <lb/>
            tiones haberi poſſunt ſupra
              <unsure/>
            innuimus terram, aquam, & </s>
            <s xml:id="echoid-s5775" xml:space="preserve">aerem eſſe inter ſe, vt
              <lb/>
            ſunt appoſiti num. </s>
            <s xml:id="echoid-s5776" xml:space="preserve">nunc vero oſtẽdimus Aetherem qui ferè totam ſphæram ele-
              <lb/>
            mentarem occupat. </s>
            <s xml:id="echoid-s5777" xml:space="preserve">eſſe ad terram ferè vt 140,608. </s>
            <s xml:id="echoid-s5778" xml:space="preserve">ad 1. </s>
            <s xml:id="echoid-s5779" xml:space="preserve">ſi igitur multiplicaueri-
              <lb/>
            mus hunc num. </s>
            <s xml:id="echoid-s5780" xml:space="preserve">per 2,290. </s>
            <s xml:id="echoid-s5781" xml:space="preserve">producetur num. </s>
            <s xml:id="echoid-s5782" xml:space="preserve">321,992,320. </s>
            <s xml:id="echoid-s5783" xml:space="preserve">qui erit in eadem ratio-
              <lb/>
            ne ad 2,290. </s>
            <s xml:id="echoid-s5784" xml:space="preserve">in qua eſt Aether ad terram; </s>
            <s xml:id="echoid-s5785" xml:space="preserve">exponantur igitur num. </s>
            <s xml:id="echoid-s5786" xml:space="preserve">quatuor, pro-
              <lb/>
            portiones quatuor elementorum inuicem habentes.</s>
            <s xml:id="echoid-s5787" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div123" type="section" level="1" n="81">
          <head xml:id="echoid-head88" style="it" xml:space="preserve">Conſectarium.</head>
          <p>
            <s xml:id="echoid-s5788" xml:space="preserve">EX demonſtratis de horum quatuor corporum elementarem ſphæram conflantium, quantitatibus, mani
              <unsure/>
              <lb/>
            feſtum eſt decuplam illam elementorum analogiam, quam nonnulli Ariſtoteli imponere contendunt
              <unsure/>
              <lb/>
            omnino commentitiam eſſe, ac proinde reijciendam.</s>
            <s xml:id="echoid-s5789" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div124" type="section" level="1" n="82">
          <head xml:id="echoid-head89" style="it" xml:space="preserve">Cap. VI. Appendix, in qua problemata aliquot non iniucunda, ex hactenus traditis ſoluenda
            <unsure/>
            <lb/>
          proponuntur, quibus ingenium vtiliter, ac variè exercetur, atq; acuitur.</head>
          <p>
            <s xml:id="echoid-s5790" xml:space="preserve">1 POnamus Deum abſtuliſſe totum illud terræ hemiſphæriũ, quod eſt ſupra noſtrum horizontem Aſtro-
              <lb/>
            nomicum, quod nos vulgò ſuperius appellamus, altero inferiori antipodum hemiſphæro nihil immu-
              <lb/>
            tato: </s>
            <s xml:id="echoid-s5791" xml:space="preserve">hoc enim facto remaneret plana, ac rotunda terræ ſuperficies. </s>
            <s xml:id="echoid-s5792" xml:space="preserve">Iam quæritur an homines poſſent in il-
              <lb/>
            la magna planitie degere, & </s>
            <s xml:id="echoid-s5793" xml:space="preserve">inhabitare? </s>
            <s xml:id="echoid-s5794" xml:space="preserve">Reſpondeo negando inibi homines vno excepto conſiſtere poſſe,
              <lb/>
            ſolus enim ille vnus qui pedibus centrũ illius plani, quod eſt centrum pariter terræ calcaret, in illo plano exi-
              <lb/>
            ſtere poſſet. </s>
            <s xml:id="echoid-s5795" xml:space="preserve">cæteri vero omnes, quos alibi extra illud centrum ſtare poſſe imaginamur, nullo modo ibi inſi-
              <lb/>
            ſtere poſſent, ſed verſus centrum illius plani vndiq; </s>
            <s xml:id="echoid-s5796" xml:space="preserve">delabarentur; </s>
            <s xml:id="echoid-s5797" xml:space="preserve">quia omne graue deorſum tendit niſi quid
              <lb/>
            obſtet. </s>
            <s xml:id="echoid-s5798" xml:space="preserve">planior autem ſolutio euadit, ſi cogitemus ablatum eſſe non noſtrum hæmiſphęrium, ſed hæmiſphæ-
              <lb/>
            rium, v. </s>
            <s xml:id="echoid-s5799" xml:space="preserve">g. </s>
            <s xml:id="echoid-s5800" xml:space="preserve">orientale; </s>
            <s xml:id="echoid-s5801" xml:space="preserve">ſic enim planities illa terræ tranſiret ſub noſtris pedibus, eamque intuentes videremus
              <lb/>
            abyſſum, aut præcipitium horrendum, vſque ad antipodas recta deſcendere, in cuius medio eſſet centrum
              <lb/>
            mundi, quo intuitu ſtatim intelligeremus nullos homines ei pedibus affixos, ac perpẽdiculares inhærere p
              <unsure/>
            oſ-
              <lb/>
            ſe, præter illum qui centro infiſteret. </s>
            <s xml:id="echoid-s5802" xml:space="preserve">Hinc patet fieri nullo modo poſſe, vt terra ſit ſuperficies quædam qua-
              <lb/>
            drata, vti Sinæ opinantur, vnicum enim tantum pateretur habitatorem.</s>
            <s xml:id="echoid-s5803" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5804" xml:space="preserve">2 Qua ratione pons lapideus aut latericius architectari poſſet, qui nullis pylis, aut fulcimentis terrã con-
              <lb/>
            tingeret, ſed totus in aere pendulus exiſteret. </s>
            <s xml:id="echoid-s5805" xml:space="preserve">Reſp. </s>
            <s xml:id="echoid-s5806" xml:space="preserve">ſi circa ambitum terræ maximum pons vniformis craſſi-
              <lb/>
            tie, ac ponderis prius ſuper fulcris ligneis per parte extrueretur, eoq; </s>
            <s xml:id="echoid-s5807" xml:space="preserve">abſoluto fulcra omnia ſubtraherentur,
              <lb/>
            nullo modo pons corrueret, quia vndiq; </s>
            <s xml:id="echoid-s5808" xml:space="preserve">ad centrum mundi æqualiter grauitaret, atq; </s>
            <s xml:id="echoid-s5809" xml:space="preserve">vrgeret, vnde ſibi ipſi
              <lb/>
            eſſet impedimento, ne ex vna parte potius, quam ex altera ſubſiderct. </s>
            <s xml:id="echoid-s5810" xml:space="preserve">eadem de cauſa @ornices, & </s>
            <s xml:id="echoid-s5811" xml:space="preserve">concamera-
              <lb/>
            tionesconſiſtu nt.</s>
            <s xml:id="echoid-s5812" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5813" xml:space="preserve">3 Sit in noſtro horizonte ſenſibili pauimentum aliquod rectum, & </s>
            <s xml:id="echoid-s5814" xml:space="preserve">oblungũ, ita vt cælum vſque & </s>
            <s xml:id="echoid-s5815" xml:space="preserve">vtrin-
              <lb/>
              <figure xlink:label="fig-0078-01" xlink:href="fig-0078-01a" number="50">
                <image file="0078-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0078-01"/>
              </figure>
            que pertingat, vti eſt A B. </s>
            <s xml:id="echoid-s5816" xml:space="preserve">in figura; </s>
            <s xml:id="echoid-s5817" xml:space="preserve">quæritur
              <lb/>
            num per illud quantũlibet ambulare poſſemus.
              <lb/>
            </s>
            <s xml:id="echoid-s5818" xml:space="preserve">Reſpondeo, nequaquam quantumlibet ambu-
              <lb/>
            laremus, ſed ad aliquod tantum interual@um. </s>
            <s xml:id="echoid-s5819" xml:space="preserve">
              <lb/>
            ratio eſt, quia ſic homines aſcenderẽt, fieretque
              <lb/>
            ſemper magis aſcenſus ille acliuis, ita vt aliquã-
              <lb/>
            do non amplius recti illi inſiſterent, ſed proni,
              <lb/>
            & </s>
            <s xml:id="echoid-s5820" xml:space="preserve">inclinati reperent, non enim conſiſtere poſ-
              <lb/>
            ſumus niſi lõgitudo corporis noſtri, ſit in linea
              <lb/>
            directionis quæ tendit ad centrum, & </s>
            <s xml:id="echoid-s5821" xml:space="preserve">de qua
              <lb/>
            ſuperius dixi in cap. </s>
            <s xml:id="echoid-s5822" xml:space="preserve">de motu ſphęræ elementa-
              <lb/>
            ris. </s>
            <s xml:id="echoid-s5823" xml:space="preserve">melius id percipitur ſi imaginemur tale pa-
              <lb/>
            uimentum extructum eſſe in horizonte diſtanti
              <lb/>
            à noſtra hab tatione per terreſtris circuli qua-
              <lb/>
            drantem, quale eſt in figura C D. </s>
            <s xml:id="echoid-s5824" xml:space="preserve">intelligimus
              <unsure/>
              <lb/>
            enim ſtatim id eſſe turris inſtar cęlũ vſq; </s>
            <s xml:id="echoid-s5825" xml:space="preserve">aſcen-
              <lb/>
            dentis, in cui
              <unsure/>
            us parietibus homines fruſtra co-
              <lb/>
            narentur reptare.</s>
            <s xml:id="echoid-s5826" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5827" xml:space="preserve">4 Sit tabula plana perfectè, atque in noſtro horizonte ad æqui@ibrium conſtituta qualem linea A B. </s>
            <s xml:id="echoid-s5828" xml:space="preserve">refe-
              <lb/>
            rat; </s>
            <s xml:id="echoid-s5829" xml:space="preserve">ſupra qu@m@ ponatur ſphæra perfectè rotunda, hæc ſphæra maneb@tne an reuoluetur? </s>
            <s xml:id="echoid-s5830" xml:space="preserve">Reſpondeo, ſi </s>
          </p>
        </div>
      </text>
    </echo>
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