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

Page concordance

< >
Scan Original
31 15
32 16
33 17
34 18
35 19
36 20
37 21
38 22
39 23
40 24
41 25
42 26
43 27
44 28
45 29
46 30
47 31
48 32
49 33
50 34
51 35
52 36
53 37
54 38
55
56
57
58
59
60
< >
page |< < (53) of 300 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div101" type="section" level="1" n="67">
          <p>
            <s xml:id="echoid-s5285" xml:space="preserve">
              <pb o="53" file="0073" n="77" rhead="Liber Quintus."/>
            tis ſuperficiem eſſe ſphæricam, cuius centrum eſt idem ac centrum terræ: </s>
            <s xml:id="echoid-s5286" xml:space="preserve">quod erat demonſtrandum. </s>
            <s xml:id="echoid-s5287" xml:space="preserve">atque
              <lb/>
            hæc de ſuperficie maris conuexa, & </s>
            <s xml:id="echoid-s5288" xml:space="preserve">ſuprema.</s>
            <s xml:id="echoid-s5289" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5290" xml:space="preserve">Quod vero attinet ad inferiorem maris ſuperficiem quæ concaua eſt, qua ſcilicet marifundum contingit,
              <lb/>
            variam admodum atque irregularem eam eſſe oportet; </s>
            <s xml:id="echoid-s5291" xml:space="preserve">terminatur enim a terra, quæ fundum, & </s>
            <s xml:id="echoid-s5292" xml:space="preserve">alueum ma-
              <lb/>
            ri præbet, quam inęqualem admodum eſſe appartet, plenam nimirum ſcopulis, inſulis, vorticibus, & </s>
            <s xml:id="echoid-s5293" xml:space="preserve">mo-
              <lb/>
            do altiorem, modo depreſſiorem, quare ad earumdem inequalitates, neceſſe eſt configurari maris inferio-
              <lb/>
            rem concauam ſuperficiem.</s>
            <s xml:id="echoid-s5294" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5295" xml:space="preserve">Cum verò mare non totam terræ faciem tegat, ſed eam interruptè modo hac, modo illac inuadat, ſequi-
              <lb/>
            tur eius figuram eſſe corpus ſolidum orbiculare, ſed valde interruptum, & </s>
            <s xml:id="echoid-s5296" xml:space="preserve">confractum, cuius craſſities ſit ad
              <lb/>
            ſummum ſeſquimilliaris, vt ſequenti capite videbimus.</s>
            <s xml:id="echoid-s5297" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5298" xml:space="preserve">Ex ijs quæ de terra, & </s>
            <s xml:id="echoid-s5299" xml:space="preserve">aqua demonſtrata ſunt, manifeſtè conſequitur Terram, & </s>
            <s xml:id="echoid-s5300" xml:space="preserve">Aquam vnicum globum
              <lb/>
            conſtituere, cuius ſit idem centrum cum Mundi centro ac medio.</s>
            <s xml:id="echoid-s5301" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div103" type="section" level="1" n="68">
          <head xml:id="echoid-head73" style="it" xml:space="preserve">De quantitate Aquæ Mariſuè. Cap. IIII.</head>
          <p>
            <s xml:id="echoid-s5302" xml:space="preserve">TRiplex in mari quantitas inueſtiganda eſt. </s>
            <s xml:id="echoid-s5303" xml:space="preserve">Prima eſt eius altitudo, ſeu profunditas. </s>
            <s xml:id="echoid-s5304" xml:space="preserve">Secunda ſuperficies
              <lb/>
            ſecundum milliaria quadrata. </s>
            <s xml:id="echoid-s5305" xml:space="preserve">Tertia, ſoliditas eius tota ſecundum milliaria cubica.</s>
            <s xml:id="echoid-s5306" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5307" xml:space="preserve">Quod igitur ad profunditatem attinet, eam exiſtimo eſſe ad ſummum vnius ſeſquimilliaris, idque paucis
              <lb/>
            in locis: </s>
            <s xml:id="echoid-s5308" xml:space="preserve">ordinariam verò eſſe ſemimilliaris; </s>
            <s xml:id="echoid-s5309" xml:space="preserve">nautæ enim noſtræ tempeſtatis, qui totum ferè Oceanum Boli.
              <lb/>
            </s>
            <s xml:id="echoid-s5310" xml:space="preserve">de perſcrutati ſunt, vbique fundum repererunt, illudque ad ſummum, & </s>
            <s xml:id="echoid-s5311" xml:space="preserve">perraro ſeſqu@milliare tantum de-
              <lb/>
            ſcendere. </s>
            <s xml:id="echoid-s5312" xml:space="preserve">ordinarie verò, & </s>
            <s xml:id="echoid-s5313" xml:space="preserve">ferè vbique ad dimidij profunditatem circiter prouenire.</s>
            <s xml:id="echoid-s5314" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5315" xml:space="preserve">Idem confirmatur ex ſententia eorum Theologorum, qui veriſimiliter valde exiſtimant, maris profundi-
              <lb/>
            tatem, & </s>
            <s xml:id="echoid-s5316" xml:space="preserve">montium altitudinem æquales eſſe, ſibique inuicem reſpondere; </s>
            <s xml:id="echoid-s5317" xml:space="preserve">vti ſuperius explicatum eſt.</s>
            <s xml:id="echoid-s5318" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5319" xml:space="preserve">Modus autem menſurandi hanc profunditatem ordinarius eſt per Bolidem, inſtrumentum nauticum.</s>
            <s xml:id="echoid-s5320" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5321" xml:space="preserve">Alium vero modum, & </s>
            <s xml:id="echoid-s5322" xml:space="preserve">quidem ſubtiliorem Leo Baptiſta Albertus nobilis Architector, in ſuo de Archi-
              <lb/>
            tectura opere excogitauit ad hanc maris profunditatem expiſcandam, qui ſic ſe habet: </s>
            <s xml:id="echoid-s5323" xml:space="preserve">Primo paratum ſi@
              <lb/>
            vas aqua plenum in cuius fundo ſit exiguum foramem, per quod aqua in aliud ſubiectum vas cum oportue-
              <lb/>
            @it, effluat. </s>
            <s xml:id="echoid-s5324" xml:space="preserve">Secundo adſit galla, vel ſphærula ex ſubere, cui infixa ſit acus vncinata, vt in figura apparet.
              <lb/>
            </s>
            <s xml:id="echoid-s5325" xml:space="preserve">
              <figure xlink:label="fig-0073-01" xlink:href="fig-0073-01a" number="45">
                <image file="0073-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0073-01"/>
              </figure>
            Tertio habeas nonnulla corpora plumbea, quę
              <lb/>
            hãc 7. </s>
            <s xml:id="echoid-s5326" xml:space="preserve">ſeptenarij figuram referant, ſintque om-
              <lb/>
            nia æqualis inuicem ponderis, & </s>
            <s xml:id="echoid-s5327" xml:space="preserve">tanti, vt gal-
              <lb/>
            lam, vel ſuber valeant ſecum ſub mare demer-
              <lb/>
            gere, debet enim galla breuiori parti corporis
              <lb/>
            plumbei per vncinum inſeri, ſed laxè vt exire
              <lb/>
            poſtea poſſit.</s>
            <s xml:id="echoid-s5328" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5329" xml:space="preserve">4 Adſit tãdem mare quodpiam, cuius pro-
              <lb/>
            funditatem habeas probè per funẽ aut bolidem
              <lb/>
            exploratam, ſitque, v. </s>
            <s xml:id="echoid-s5330" xml:space="preserve">g. </s>
            <s xml:id="echoid-s5331" xml:space="preserve">paſſus 300. </s>
            <s xml:id="echoid-s5332" xml:space="preserve">poſt hæc
              <lb/>
            eodem temporis momento duo debes facere,
              <lb/>
            vnum eſt plumbum cum galla demergere, ita
              <lb/>
            vt ad fundum deſcendat; </s>
            <s xml:id="echoid-s5333" xml:space="preserve">alterum eſt aquæ fo-
              <lb/>
            ramem exiguum aperire, vt eodem tempore
              <lb/>
            fluere incipiat, quo plumbum deſcendere pari-
              <lb/>
            ter incipit. </s>
            <s xml:id="echoid-s5334" xml:space="preserve">interim dum effluit aqua plumbum
              <lb/>
            deſcendit, fundumq; </s>
            <s xml:id="echoid-s5335" xml:space="preserve">tanget parte ima B. </s>
            <s xml:id="echoid-s5336" xml:space="preserve">quia
              <lb/>
            altera leuior eſt propter gallã; </s>
            <s xml:id="echoid-s5337" xml:space="preserve">ad fundi tactum
              <lb/>
            proſternetur, ita vt angulus eius deorſum ver-
              <lb/>
            gat; </s>
            <s xml:id="echoid-s5338" xml:space="preserve">pars vero in qua eſt galla, ſurſum quia le-
              <lb/>
            uior eſt eleuabitur, quapropter poterit galla fa-
              <lb/>
            cile ab ea liberari, & </s>
            <s xml:id="echoid-s5339" xml:space="preserve">ſurſum exilire. </s>
            <s xml:id="echoid-s5340" xml:space="preserve">ſtatim igi-
              <lb/>
            @@@ ac videris gallam emergentem, claude vaſis foramen: </s>
            <s xml:id="echoid-s5341" xml:space="preserve">& </s>
            <s xml:id="echoid-s5342" xml:space="preserve">aquam quæ interim efluxit diligenter ponde-
              <lb/>
            ra, ſitque v. </s>
            <s xml:id="echoid-s5343" xml:space="preserve">g. </s>
            <s xml:id="echoid-s5344" xml:space="preserve">vnciarum 4. </s>
            <s xml:id="echoid-s5345" xml:space="preserve">eiuſque pondus vnc. </s>
            <s xml:id="echoid-s5346" xml:space="preserve">4. </s>
            <s xml:id="echoid-s5347" xml:space="preserve">necnon maris huius altitudinem paſsuum 300. </s>
            <s xml:id="echoid-s5348" xml:space="preserve">memoriæ,
              <lb/>
            aut ſcripto commenda. </s>
            <s xml:id="echoid-s5349" xml:space="preserve">hæc igitur omnia erunt veluti apparatus quidam ad cuiuſuis profundiſſimi Oceani
              <lb/>
            altitudinem perſcrutandam. </s>
            <s xml:id="echoid-s5350" xml:space="preserve">ſit iam igitur aliquod mare valde profundum menſurandum. </s>
            <s xml:id="echoid-s5351" xml:space="preserve">eo adito, eodem
              <lb/>
            tempore, & </s>
            <s xml:id="echoid-s5352" xml:space="preserve">aliud plumbum priori æquale cum galla demerge, & </s>
            <s xml:id="echoid-s5353" xml:space="preserve">ſimul aquæ fluxum reſera; </s>
            <s xml:id="echoid-s5354" xml:space="preserve">galla vt prius
              <lb/>
            relicto deorſum plumbo enatabit: </s>
            <s xml:id="echoid-s5355" xml:space="preserve">qua ſtatim conſpecta fluxum aquæ ſiſte, diligenterquè aquam interim de-
              <lb/>
            fluxam pondera ſit, v. </s>
            <s xml:id="echoid-s5356" xml:space="preserve">g. </s>
            <s xml:id="echoid-s5357" xml:space="preserve">vnc. </s>
            <s xml:id="echoid-s5358" xml:space="preserve">10. </s>
            <s xml:id="echoid-s5359" xml:space="preserve">poſtea ſic ratiocinare, vt ſe habet pondus prioris aquæ vnc. </s>
            <s xml:id="echoid-s5360" xml:space="preserve">4. </s>
            <s xml:id="echoid-s5361" xml:space="preserve">ad paſſus 300.
              <lb/>
            </s>
            <s xml:id="echoid-s5362" xml:space="preserve">altitudinis prioris mari; </s>
            <s xml:id="echoid-s5363" xml:space="preserve">ita ſe debet habere pondus vnc. </s>
            <s xml:id="echoid-s5364" xml:space="preserve">10. </s>
            <s xml:id="echoid-s5365" xml:space="preserve">ad altitudinem huius maris; </s>
            <s xml:id="echoid-s5366" xml:space="preserve">quare per auream
              <lb/>
            trium regulam ex cognitis iam tribus analogiæ, quartus inueniri poterit hoc modo, ſi vnc. </s>
            <s xml:id="echoid-s5367" xml:space="preserve">4. </s>
            <s xml:id="echoid-s5368" xml:space="preserve">dant altitudi-
              <lb/>
            nem 300. </s>
            <s xml:id="echoid-s5369" xml:space="preserve">ergo vnc. </s>
            <s xml:id="echoid-s5370" xml:space="preserve">10 dabunt altitudinem 750. </s>
            <s xml:id="echoid-s5371" xml:space="preserve">igitur maris vltimi profunditas erit paſſuum 750.</s>
            <s xml:id="echoid-s5372" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s5373" xml:space="preserve">Quod vero ad ſuperficialem eius quantitatem ſpectat, ea ex Geographia petenda eſt: </s>
            <s xml:id="echoid-s5374" xml:space="preserve">recentiores autem
              <lb/>
            Geographi, qui totum ferè terræ orbem in globo depingunt, ſuperficiem aquæ æqualem propè ſuperficiei
              <lb/>
            @erræ faciunt; </s>
            <s xml:id="echoid-s5375" xml:space="preserve">quamuis hoc exactè nondũ perſpici potuerit, ob aliquam adhuc Geographiæ imperfectionem.</s>
            <s xml:id="echoid-s5376" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum