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-div70" type="section" level="1" n="47">
          <p>
            <s xml:id="echoid-s3446" xml:space="preserve">
              <pb o="35" file="0051" n="51" rhead="Liber Tertius."/>
            explorarunt: </s>
            <s xml:id="echoid-s3447" xml:space="preserve">Nos autem hoe illud, ſinon tam exactè, facilius tamen, iuxta inſtitutum noſtrum, indaga-
              <lb/>
            bimus hac ratione; </s>
            <s xml:id="echoid-s3448" xml:space="preserve">ſuſpendatur liberè corpus, & </s>
            <s xml:id="echoid-s3449" xml:space="preserve">a ſuſpenſionis loco cadat filium perpendiculi iuxta cor-
              <lb/>
            pus, noteturque linea, quam filum perpendiculi in corpore deſignat. </s>
            <s xml:id="echoid-s3450" xml:space="preserve">rurſus ex alia parteidem corpus li-
              <lb/>
            berè pendeat, atqueiterum à ſuſpenſionis puncto perpendiculi filum deſcendens, alteram lineam eidem
              <lb/>
            corpori inurat: </s>
            <s xml:id="echoid-s3451" xml:space="preserve">hæc ſecunda linea priorem neceſſario ſecabit; </s>
            <s xml:id="echoid-s3452" xml:space="preserve">nam cum centru
              <unsure/>
            m grauitatis ſit ſemper
              <lb/>
            iuxta lineam illam perpendiculi, neceſſe eſt vtramque lineam a perpendiculo delineatam iuta grauita-
              <lb/>
            tis centrum tranſire, atque adeò in illud idem punctum coacurrere; </s>
            <s xml:id="echoid-s3453" xml:space="preserve">quapropter neceſſe eſt, punctum il-
              <lb/>
            lud, quod earum communis eſt ſectio, cent um grauitatis deſignare. </s>
            <s xml:id="echoid-s3454" xml:space="preserve">exempli gr. </s>
            <s xml:id="echoid-s3455" xml:space="preserve">ſit corpus A B D E. </s>
            <s xml:id="echoid-s3456" xml:space="preserve">cu-
              <lb/>
              <figure xlink:label="fig-0051-01" xlink:href="fig-0051-01a" number="30">
                <image file="0051-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0051-01"/>
              </figure>
            ius centrum g@auitatis ſic inuenies; </s>
            <s xml:id="echoid-s3457" xml:space="preserve">Primo ex A. </s>
            <s xml:id="echoid-s3458" xml:space="preserve">libere ſuſpendatur,
              <lb/>
            filumque perpendiculi illi adhærens deſignet lineam A D. </s>
            <s xml:id="echoid-s3459" xml:space="preserve">ſecundo
              <lb/>
            pendeat ex B. </s>
            <s xml:id="echoid-s3460" xml:space="preserve">lineaque perpendiculi ſit B E. </s>
            <s xml:id="echoid-s3461" xml:space="preserve">quæ ſe viciſſim ſecent
              <lb/>
            in C. </s>
            <s xml:id="echoid-s3462" xml:space="preserve">erit C. </s>
            <s xml:id="echoid-s3463" xml:space="preserve">punctum indicans centrum grauitatis. </s>
            <s xml:id="echoid-s3464" xml:space="preserve">quod quidem ali-
              <lb/>
            quando eſſe poteſt non in ipſo C. </s>
            <s xml:id="echoid-s3465" xml:space="preserve">ſed tamen è regione illius ſemper
              <lb/>
            erit intra, aut extra corporis ſoliditatem; </s>
            <s xml:id="echoid-s3466" xml:space="preserve">cum enim vtraque linea
              <lb/>
            per centrum grauitatis, aut iuxta illud tranſeat, neceſſario C. </s>
            <s xml:id="echoid-s3467" xml:space="preserve">per
              <lb/>
            quod vtraque tranſit, erit grauitatis centrum quæſitum. </s>
            <s xml:id="echoid-s3468" xml:space="preserve">Poſtremò
              <lb/>
            eſt illud notandum, ſi grauè ad centrum mundi liberè dilabatur, num-
              <lb/>
            quam quieturum, niſi eius centrum grauitatis, mundi centro con-
              <lb/>
            gruat; </s>
            <s xml:id="echoid-s3469" xml:space="preserve">ſic enim erit in æquilibrio, nec pars altera, alteram propel-
              <lb/>
            let amplius. </s>
            <s xml:id="echoid-s3470" xml:space="preserve">ſi cum impetu deſcenderet, vltrò citroq; </s>
            <s xml:id="echoid-s3471" xml:space="preserve">centrum mun-
              <lb/>
            di ob impetum ſæpius reciprocaretur, ſed paulatim ceſſante impetu,
              <lb/>
            tandem centrum grauitatis, com centro mundi coincideret. </s>
            <s xml:id="echoid-s3472" xml:space="preserve">Hacte-
              <lb/>
            nus de tribus ſimplicibus motibus dictum ſit: </s>
            <s xml:id="echoid-s3473" xml:space="preserve">nunc de mixto motu,
              <lb/>
            qui in hac Elementari parte cernitur pauca ſuperſunt dicenda. </s>
            <s xml:id="echoid-s3474" xml:space="preserve">tunc igitur aliquid mixto motu mouetur,
              <lb/>
            cum mobile illud impeditur ab aliqua re, ne ſuo naturali, ac ſimplici motu moueatur, v. </s>
            <s xml:id="echoid-s3475" xml:space="preserve">g. </s>
            <s xml:id="echoid-s3476" xml:space="preserve">gutta aquæ
              <lb/>
            pluentis ſuapte natura rectà deorſum petit, & </s>
            <s xml:id="echoid-s3477" xml:space="preserve">quidem ſuo motu ſimplici, qui rectus eſt; </s>
            <s xml:id="echoid-s3478" xml:space="preserve">ſed accidit vt à
              <lb/>
            vento tranſuerſim ſtante ab illa rectitudine deturbetur, & </s>
            <s xml:id="echoid-s3479" xml:space="preserve">in tranſuerſum, atque obliquè transferatur-
              <lb/>
            huiuſmodi motus eſt illi accidentalis, ac præter naturam; </s>
            <s xml:id="echoid-s3480" xml:space="preserve">& </s>
            <s xml:id="echoid-s3481" xml:space="preserve">dicitur mixtus, quòd duobus aduerſis moto-
              <lb/>
            ribus efficiatur, ſitque neutrius eorum proprius, & </s>
            <s xml:id="echoid-s3482" xml:space="preserve">naturalis; </s>
            <s xml:id="echoid-s3483" xml:space="preserve">in exemplo allato, motus illius guttæ à ven-
              <lb/>
            to actæ partim deſcenſus eſt, partim tranſuerſalis: </s>
            <s xml:id="echoid-s3484" xml:space="preserve">quatenus deſcendit participat motum rectum aquæ
              <lb/>
            proprium; </s>
            <s xml:id="echoid-s3485" xml:space="preserve">quatenus verò in tranſuerſum agitur, participat motum venti proprium, aut circularis, aut
              <lb/>
            rectus eſt. </s>
            <s xml:id="echoid-s3486" xml:space="preserve">eodem etiam modo aliquid, dum circulari, ac ſimplici motu fertur, poteſt abeo deturbari ab
              <lb/>
            a
              <unsure/>
            liquo extrinſeco, vnde poſtea mixtis deferatur. </s>
            <s xml:id="echoid-s3487" xml:space="preserve">Atque de his ſatis.</s>
            <s xml:id="echoid-s3488" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div72" type="section" level="1" n="48">
          <head xml:id="echoid-head50" style="it" xml:space="preserve">De Magnitudine Sphæræ Elementaris. Cap. IIII.</head>
          <p>
            <s xml:id="echoid-s3489" xml:space="preserve">NOnniſi ex quantitate terræ prius exploratæ, in quantitatis reliquorum Elementorum, ac proinde
              <lb/>
            totius Elementaris globi cognitionem iri poteſt. </s>
            <s xml:id="echoid-s3490" xml:space="preserve">quapropter hoc loco, nihil certi ſtatuere debemus,
              <lb/>
            infra tamen maniſeſtè oſtendemus diametrum Elemen. </s>
            <s xml:id="echoid-s3491" xml:space="preserve">ſphæræ continere terrenas diametros 52. </s>
            <s xml:id="echoid-s3492" xml:space="preserve">quæ
              <lb/>
            efficiunt milliaria Aſtronomica 357. </s>
            <s xml:id="echoid-s3493" xml:space="preserve">396. </s>
            <s xml:id="echoid-s3494" xml:space="preserve">milliare autem Aſtronomicum, vti poſtea dicemus, eſt ſexage-
              <lb/>
            @@ma pars vnius gradus terreſtris circumferentiæ; </s>
            <s xml:id="echoid-s3495" xml:space="preserve">eſtque idem, ac milliare commune, & </s>
            <s xml:id="echoid-s3496" xml:space="preserve">vulgare.</s>
            <s xml:id="echoid-s3497" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3498" xml:space="preserve">De lumine, & </s>
            <s xml:id="echoid-s3499" xml:space="preserve">vmbra huius ſphæræ, nihil peculiare hoc loco occurit.</s>
            <s xml:id="echoid-s3500" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div73" type="section" level="1" n="49">
          <head xml:id="echoid-head51" xml:space="preserve">Finis Libri Tertij@</head>
        </div>
      </text>
    </echo>
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