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">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div112" type="section" level="1" n="74">
          <p>
            <s xml:id="echoid-s5503" xml:space="preserve">
              <pb o="56" file="0076" n="80" rhead="De Mundi Fabrica."/>
            zontis halitus, qui ſunt apud K. </s>
            <s xml:id="echoid-s5504" xml:space="preserve">ſit C I V. </s>
            <s xml:id="echoid-s5505" xml:space="preserve">qui terram tangat in I. </s>
            <s xml:id="echoid-s5506" xml:space="preserve">iam ſic diſcurrendum eſt, noctu ante c
              <unsure/>
            repu-
              <lb/>
            ſculum vapores, qui ſunt ſupra horizontem F K. </s>
            <s xml:id="echoid-s5507" xml:space="preserve">non videbantur quia nondum illuſtrabantur, primus enim
              <lb/>
            radius C I K. </s>
            <s xml:id="echoid-s5508" xml:space="preserve">non prouenerat nec ad I. </s>
            <s xml:id="echoid-s5509" xml:space="preserve">nec ad K. </s>
            <s xml:id="echoid-s5510" xml:space="preserve">ſed infra I. </s>
            <s xml:id="echoid-s5511" xml:space="preserve">tangebat terram; </s>
            <s xml:id="echoid-s5512" xml:space="preserve">& </s>
            <s xml:id="echoid-s5513" xml:space="preserve">vltra K. </s>
            <s xml:id="echoid-s5514" xml:space="preserve">per aerem purum
              <lb/>
            extendebatur. </s>
            <s xml:id="echoid-s5515" xml:space="preserve">nihil etiam videbatur vltra punctu@ K. </s>
            <s xml:id="echoid-s5516" xml:space="preserve">quamuis ibi radij Solis plures excurrerent, ob aeris
              <lb/>
            meram diaphaneitatem, quæ nullam efficit viſionem. </s>
            <s xml:id="echoid-s5517" xml:space="preserve">tunc igitur tantum neceſſario incipimus aliquid in ho-
              <lb/>
            rizonte videre, cum radius primus C I K. </s>
            <s xml:id="echoid-s5518" xml:space="preserve">ad punctum K. </s>
            <s xml:id="echoid-s5519" xml:space="preserve">vbi ſunt extremi vapores, & </s>
            <s xml:id="echoid-s5520" xml:space="preserve">vbi circumferentia@
              <lb/>
            Atmoſphæræ ſecatur ab horizonte phyſico F K. </s>
            <s xml:id="echoid-s5521" xml:space="preserve">quæ prima viſio dicitur crepuſculum.</s>
            <s xml:id="echoid-s5522" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5523" xml:space="preserve">Notandum poſtea ex Aſtro
              <unsure/>
            nomorum obſeruationibus, in initio crepuſculi, Solem eſſe infrà Aſtronomi-
              <lb/>
            cum horizontem gr. </s>
            <s xml:id="echoid-s5524" xml:space="preserve">18. </s>
            <s xml:id="echoid-s5525" xml:space="preserve">in circulo verticali O S P D. </s>
            <s xml:id="echoid-s5526" xml:space="preserve">vel in arcu terræ G T. </s>
            <s xml:id="echoid-s5527" xml:space="preserve">v. </s>
            <s xml:id="echoid-s5528" xml:space="preserve">g. </s>
            <s xml:id="echoid-s5529" xml:space="preserve">ſi arcus P D. </s>
            <s xml:id="echoid-s5530" xml:space="preserve">fuerit gr. </s>
            <s xml:id="echoid-s5531" xml:space="preserve">18. </s>
            <s xml:id="echoid-s5532" xml:space="preserve">tũc
              <lb/>
            incipit crepuſculũ. </s>
            <s xml:id="echoid-s5533" xml:space="preserve">vltimo notandum Solem illuminare pluſquam terrę dimidium, vt in cap. </s>
            <s xml:id="echoid-s5534" xml:space="preserve">de terræ illumi-
              <lb/>
            natione oſtenſum eſt; </s>
            <s xml:id="echoid-s5535" xml:space="preserve">illuminat enim vltra gr. </s>
            <s xml:id="echoid-s5536" xml:space="preserve">180. </s>
            <s xml:id="echoid-s5537" xml:space="preserve">etiam min. </s>
            <s xml:id="echoid-s5538" xml:space="preserve">28. </s>
            <s xml:id="echoid-s5539" xml:space="preserve">cuius dimidium eſt gr. </s>
            <s xml:id="echoid-s5540" xml:space="preserve">90. </s>
            <s xml:id="echoid-s5541" xml:space="preserve">m
              <unsure/>
            n. </s>
            <s xml:id="echoid-s5542" xml:space="preserve">14. </s>
            <s xml:id="echoid-s5543" xml:space="preserve">& </s>
            <s xml:id="echoid-s5544" xml:space="preserve">repræ-
              <lb/>
            ſentatur in arcu T I. </s>
            <s xml:id="echoid-s5545" xml:space="preserve">intelligantur etiam lineæ H F X F. </s>
            <s xml:id="echoid-s5546" xml:space="preserve">H L K. </s>
            <s xml:id="echoid-s5547" xml:space="preserve">H I. </s>
            <s xml:id="echoid-s5548" xml:space="preserve">H C. </s>
            <s xml:id="echoid-s5549" xml:space="preserve">propoſitum eſt igitur inueſtiga-
              <lb/>
            re quantitatem lineæ L K. </s>
            <s xml:id="echoid-s5550" xml:space="preserve">hæc enim eſt maxima halituum altitudo: </s>
            <s xml:id="echoid-s5551" xml:space="preserve">arcus itaque F G. </s>
            <s xml:id="echoid-s5552" xml:space="preserve">eſt quadrans, ſcilice@
              <lb/>
            gr. </s>
            <s xml:id="echoid-s5553" xml:space="preserve">90. </s>
            <s xml:id="echoid-s5554" xml:space="preserve">arcus veto G T. </s>
            <s xml:id="echoid-s5555" xml:space="preserve">eſt gr. </s>
            <s xml:id="echoid-s5556" xml:space="preserve">18. </s>
            <s xml:id="echoid-s5557" xml:space="preserve">tot enim gradibus Sol in crepuſcu@i initio infra horizontem O H P. </s>
            <s xml:id="echoid-s5558" xml:space="preserve">depri-
              <lb/>
            mitur: </s>
            <s xml:id="echoid-s5559" xml:space="preserve">qui arcus tot gradus continet, quot etiam ſunt in arcu P D. </s>
            <s xml:id="echoid-s5560" xml:space="preserve">ex prima propoſitione appar. </s>
            <s xml:id="echoid-s5561" xml:space="preserve">totus igitur
              <lb/>
            arcus F I T. </s>
            <s xml:id="echoid-s5562" xml:space="preserve">eſt gr. </s>
            <s xml:id="echoid-s5563" xml:space="preserve">108. </s>
            <s xml:id="echoid-s5564" xml:space="preserve">à quo ſi dematur, arcus T I. </s>
            <s xml:id="echoid-s5565" xml:space="preserve">quem diximus eſſe gr. </s>
            <s xml:id="echoid-s5566" xml:space="preserve">90. </s>
            <s xml:id="echoid-s5567" xml:space="preserve">14′. </s>
            <s xml:id="echoid-s5568" xml:space="preserve">remanet arcus F I. </s>
            <s xml:id="echoid-s5569" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s5570" xml:space="preserve">17. </s>
            <s xml:id="echoid-s5571" xml:space="preserve">46′.
              <lb/>
            </s>
            <s xml:id="echoid-s5572" xml:space="preserve">cuius dimidium eſt arcus F L. </s>
            <s xml:id="echoid-s5573" xml:space="preserve">eritq; </s>
            <s xml:id="echoid-s5574" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s5575" xml:space="preserve">8. </s>
            <s xml:id="echoid-s5576" xml:space="preserve">53′. </s>
            <s xml:id="echoid-s5577" xml:space="preserve">quare etiam angulus F H L. </s>
            <s xml:id="echoid-s5578" xml:space="preserve">quem ſubtendit, erit eorumdem. </s>
            <s xml:id="echoid-s5579" xml:space="preserve">
              <lb/>
            gr. </s>
            <s xml:id="echoid-s5580" xml:space="preserve">8. </s>
            <s xml:id="echoid-s5581" xml:space="preserve">53′. </s>
            <s xml:id="echoid-s5582" xml:space="preserve">ſicq; </s>
            <s xml:id="echoid-s5583" xml:space="preserve">in triangulo F H K. </s>
            <s xml:id="echoid-s5584" xml:space="preserve">iam duo anguli ſunt noti, cum angulus H F K. </s>
            <s xml:id="echoid-s5585" xml:space="preserve">ſit rectus, notum etiam eſt
              <lb/>
            latus H F. </s>
            <s xml:id="echoid-s5586" xml:space="preserve">cũ ſit terræ ſemidiameter, quam ſupra in milliarijs metiti ſumus: </s>
            <s xml:id="echoid-s5587" xml:space="preserve">quare per 5. </s>
            <s xml:id="echoid-s5588" xml:space="preserve">& </s>
            <s xml:id="echoid-s5589" xml:space="preserve">6. </s>
            <s xml:id="echoid-s5590" xml:space="preserve">propoſ. </s>
            <s xml:id="echoid-s5591" xml:space="preserve">Appar. </s>
            <s xml:id="echoid-s5592" xml:space="preserve">
              <lb/>
            veniemus in cognitionem reliqui lateris H K. </s>
            <s xml:id="echoid-s5593" xml:space="preserve">eumque reperiemus milliariorum ferè 3′479. </s>
            <s xml:id="echoid-s5594" xml:space="preserve">iuxta noſtram@
              <lb/>
            terrenæ ſemidiametri menſuram. </s>
            <s xml:id="echoid-s5595" xml:space="preserve">iam ex linea H K. </s>
            <s xml:id="echoid-s5596" xml:space="preserve">detracta terræ ſemidiametro H L. </s>
            <s xml:id="echoid-s5597" xml:space="preserve">quæ eſt 3,426. </s>
            <s xml:id="echoid-s5598" xml:space="preserve">rema-
              <lb/>
            net L K. </s>
            <s xml:id="echoid-s5599" xml:space="preserve">milliaria 43. </s>
            <s xml:id="echoid-s5600" xml:space="preserve">ferè. </s>
            <s xml:id="echoid-s5601" xml:space="preserve">alij aliam quantitatem reperiunt, vt Alhazenus, qui eam reperit 52. </s>
            <s xml:id="echoid-s5602" xml:space="preserve">quod oritur
              <lb/>
            ex varia ſuppoſitione diametrorum Solis, & </s>
            <s xml:id="echoid-s5603" xml:space="preserve">terræ, & </s>
            <s xml:id="echoid-s5604" xml:space="preserve">diſtantia eorum, necnon depreſſionis Solis infra hori-
              <lb/>
            zontem initio crepuſculi. </s>
            <s xml:id="echoid-s5605" xml:space="preserve">Cæterum cum ex communi Philoſophorum ſententia veriſimile ſit aeream re-
              <lb/>
            gionem, eam eſſe tantummodo in qua euaporationes, & </s>
            <s xml:id="echoid-s5606" xml:space="preserve">halitus, vel ſubtiliſſimi, ex terreſtri globo aſcenden-
              <lb/>
            tes ſpatiantur (non enim ratio vlla apparet cur non altius aſcendant, ſi altius aer attollatur) videretur iuxta
              <lb/>
            hanc opinionem Elemẽtum aeris attolli tantummodo milliaria 43. </s>
            <s xml:id="echoid-s5607" xml:space="preserve">vel ſi dixerimus aerem adhuc altius eue-
              <lb/>
            @i, ſaltem manifeſtè oſtenſum erit Atmoſphæræ altitudinem circa terram eſſe prædicta milliaria 43. </s>
            <s xml:id="echoid-s5608" xml:space="preserve">circi-
              <lb/>
            ter; </s>
            <s xml:id="echoid-s5609" xml:space="preserve">ita vt tanto interuallo à
              <unsure/>
            terra fit aeris, aut Atmoſphæræ ſuprema, & </s>
            <s xml:id="echoid-s5610" xml:space="preserve">conuexa ſuperficies. </s>
            <s xml:id="echoid-s5611" xml:space="preserve">ex hac altitu-
              <lb/>
            dine facile eſt totius aeris ſoliditatem rudi ſaltem Minerua colligere ſecundum milliaria cubica; </s>
            <s xml:id="echoid-s5612" xml:space="preserve">hac ratio-
              <lb/>
            ne, aqua tota vt viſum eſt, ad totam terram habet eam rationem, quam 1. </s>
            <s xml:id="echoid-s5613" xml:space="preserve">ad 2,290. </s>
            <s xml:id="echoid-s5614" xml:space="preserve">& </s>
            <s xml:id="echoid-s5615" xml:space="preserve">tamen dimidium tantũ
              <lb/>
            ſuperſiciei terræ cooperit, ſi igitur totam terram cooperiret, haberet rationem ad terram, quam 2. </s>
            <s xml:id="echoid-s5616" xml:space="preserve">ad 2 ′290. </s>
            <s xml:id="echoid-s5617" xml:space="preserve">
              <lb/>
            quia vero aer eſt altior quam aqua quadragies, & </s>
            <s xml:id="echoid-s5618" xml:space="preserve">ter, erit etiã tota ipſius corporeitas, quadragies, & </s>
            <s xml:id="echoid-s5619" xml:space="preserve">ter ma-
              <lb/>
            ior, quam eſſet aqua, quæ totam terram occuparet in altitudine vnius milliarij; </s>
            <s xml:id="echoid-s5620" xml:space="preserve">atqui talis aqua eſſet ad terrã
              <lb/>
            vt 2. </s>
            <s xml:id="echoid-s5621" xml:space="preserve">ad 2,290. </s>
            <s xml:id="echoid-s5622" xml:space="preserve">ergo aer qui eſt ad talem aquam vt 42. </s>
            <s xml:id="echoid-s5623" xml:space="preserve">ad 2. </s>
            <s xml:id="echoid-s5624" xml:space="preserve">erit ad veram aquam vt 86. </s>
            <s xml:id="echoid-s5625" xml:space="preserve">ad 1. </s>
            <s xml:id="echoid-s5626" xml:space="preserve">ad terram verò vt
              <lb/>
            86. </s>
            <s xml:id="echoid-s5627" xml:space="preserve">ad 2,299
              <unsure/>
            . </s>
            <s xml:id="echoid-s5628" xml:space="preserve">ſeu ferè 1. </s>
            <s xml:id="echoid-s5629" xml:space="preserve">ad 27.</s>
            <s xml:id="echoid-s5630" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5631" xml:space="preserve">Aliter ſuperficies @otius globi terrenæ habet milliaria quadrata 148′456′800. </s>
            <s xml:id="echoid-s5632" xml:space="preserve">hunc
              <lb/>
              <note position="right" xlink:label="note-0076-01" xlink:href="note-0076-01a" xml:space="preserve">
                <lb/>
              Terra # 2,290.
                <lb/>
              Aqua # 1.
                <lb/>
              Aer # 86.
                <lb/>
              </note>
            numerum multiplica per 43. </s>
            <s xml:id="echoid-s5633" xml:space="preserve">altitudinem aeris, & </s>
            <s xml:id="echoid-s5634" xml:space="preserve">producentur milliaria cubica to-
              <lb/>
            tius aeris, ſed vero pauciora, quia altio
              <unsure/>
            ra magis ampliantur, & </s>
            <s xml:id="echoid-s5635" xml:space="preserve">fiunt maiora, quo al-
              <lb/>
            tiora. </s>
            <s xml:id="echoid-s5636" xml:space="preserve">numerus autem productus eſt 6,373,642,400. </s>
            <s xml:id="echoid-s5637" xml:space="preserve">qui ad numerum cuborum totius
              <lb/>
            terrenæ ſoliditatis habet rationem quam 1. </s>
            <s xml:id="echoid-s5638" xml:space="preserve">ad 27. </s>
            <s xml:id="echoid-s5639" xml:space="preserve">quare terreſtris globus continet totam Atmoſphæram@
              <lb/>
            vicies, & </s>
            <s xml:id="echoid-s5640" xml:space="preserve">ſepties. </s>
            <s xml:id="echoid-s5641" xml:space="preserve">tantus igitur eſt aer.</s>
            <s xml:id="echoid-s5642" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div115" type="section" level="1" n="75">
          <head xml:id="echoid-head81" xml:space="preserve">LIBER SEPTIMVS</head>
          <head xml:id="echoid-head82" xml:space="preserve">De Æthere ſeu mauis putato Igne.</head>
          <p>
            <s xml:id="echoid-s5643" xml:space="preserve">EA mundi pars quæ inter aerem vel Atmoſphæram, cælumq; </s>
            <s xml:id="echoid-s5644" xml:space="preserve">intereſt, à plurimis ſcriptoribus
              <lb/>
            tam prophanis, quam Sacris appellatur Æther; </s>
            <s xml:id="echoid-s5645" xml:space="preserve">ſic. </s>
            <s xml:id="echoid-s5646" xml:space="preserve">S. </s>
            <s xml:id="echoid-s5647" xml:space="preserve">Gregorius Papa, Hom. </s>
            <s xml:id="echoid-s5648" xml:space="preserve">29. </s>
            <s xml:id="echoid-s5649" xml:space="preserve">ait aliud eſt
              <lb/>
            cælũ aereum, aliud æthereum; </s>
            <s xml:id="echoid-s5650" xml:space="preserve">vbi perſpicuè ſupra aerem ſtatim collocat æthera. </s>
            <s xml:id="echoid-s5651" xml:space="preserve">alij ignem
              <lb/>
            ibi quemdam collocant. </s>
            <s xml:id="echoid-s5652" xml:space="preserve">nonnulli aerem vſque ad lunares circuitus extollunt. </s>
            <s xml:id="echoid-s5653" xml:space="preserve">quidquid ſi@
              <lb/>
            non eſt noſtrum definire, ſed eius locum, ſiguram, magnitudinem, motum, illuminationem,
              <lb/>
            v@in præcedentibus factum eſt, explicare. </s>
            <s xml:id="echoid-s5654" xml:space="preserve">diſtinctionis tamen gratia illud Æthera libenter
              <lb/>
            appellarem, cum id quod ſuperius eſt, & </s>
            <s xml:id="echoid-s5655" xml:space="preserve">in quo planetæ ac ſydera verſantur, cælum dicatur.</s>
            <s xml:id="echoid-s5656" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div116" type="section" level="1" n="76">
          <head xml:id="echoid-head83" style="it" xml:space="preserve">De loco Aetheris. Cap. I.</head>
          <p>
            <s xml:id="echoid-s5657" xml:space="preserve">LOcus eius
              <unsure/>
            ex præmiſſis ſatis manifeſtus eſt, videlicet ſupra aerem, & </s>
            <s xml:id="echoid-s5658" xml:space="preserve">infra lunares regiones.</s>
            <s xml:id="echoid-s5659" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
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