Cardano, Geronimo, Offenbarung der Natur und natürlicher dingen auch mancherley subtiler würckungen

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      <text xml:lang="de" type="free">
        <div xml:id="echoid-div572" type="section" level="1" n="55">
          <p>
            <s xml:id="echoid-s13560" xml:space="preserve">
              <pb o="ccccxvij" file="0473" n="473" rhead="ſachen/ Das neündt bůch."/>
            eclyptica dahar faret/ den Aequinoctialiſchẽ circkel zertheiltet/ vñ zů vns
              <lb/>
            kom̃et. </s>
            <s xml:id="echoid-s13561" xml:space="preserve">Darũb iſt vyl beſſer vnd der nateürlichen rechnũg kom̃licher/ auch
              <lb/>
            den gründen oder kunſt weiß zůſagen neher/ vnd aller cõfuſion mehr zůwi-
              <lb/>
            der/ daß man die zeichen nit anfahe bey des Widers anfang am neündten
              <lb/>
            him̃el/ auch deß zeichen anfang nit in dem achten him̃el/ welcher dañ ſchon
              <lb/>
            vyl grad von dem Eequinoctiſchen circkel abgetretten/ ſonder diſen pun-
              <lb/>
            cten/ in wölchẽ die Eclyptica des achtẽ him̃els den Aequinoctiũ zertheilt/
              <lb/>
            als vorhin bewiſen iſt. </s>
            <s xml:id="echoid-s13562" xml:space="preserve">Es iſt auch nach diſen beiden wegen ein vnderſcheid/
              <lb/>
            in des geſtirns orthẽ vñ equationen o{der} vergleichungen/ diweil des Alphõſi
              <lb/>
            weg nach einer würckung manglet/ deß Thebit aber zweyer/ wie Montere
              <lb/>
            gius anzeigt. </s>
            <s xml:id="echoid-s13563" xml:space="preserve">doch ſoll man für diſes wiſſen/ daß diſe axioma oder ſchlußred
              <lb/>
            gantz gewüß iſt/ Wañ ein kreiß o{der} him̃el ein figur beſchreibt nach gewüßer
              <lb/>
            zeit vñ weyß/ wz bewegung diſes ſein mag/ beſchicht doch ſo yemãd am ſel-
              <lb/>
            bigen orth ſteth/ dz der punct ſo gegen jm über iſt/ ein gantz gleichförmige
              <lb/>
            figur an dem an{der}en orth beſchreibt/ einerley geſtalt/ vnd zů einer zeit. </s>
            <s xml:id="echoid-s13564" xml:space="preserve">Deß
              <lb/>
            halbẽ mag man diſes/ ſo von zweyen circklen geſagt/ baß verſthen. </s>
            <s xml:id="echoid-s13565" xml:space="preserve">vñ iſt al
              <lb/>
            lein diſer vnderſcheid dz ſie in jrer bewegung widereinan{der} lauffen/ als wañ
              <lb/>
            einer von Orient in Occident/ lauffet der an{der} von Occidẽt in Orient. </s>
            <s xml:id="echoid-s13566" xml:space="preserve">wañ
              <lb/>
            auch der ein nach vnderſcheidlicher võ Orient gegẽ mitnacht faret/ lauffet
              <lb/>
            der ander von Occident gegen Mittag vnd dem Antarctico Polo. </s>
            <s xml:id="echoid-s13567" xml:space="preserve">Es iſt
              <lb/>
            auch noch ein an{der}s das man wüſſen můß/ nam̃lich wañ man ein kreiß nim
              <lb/>
            met/ vñ zwen puncten verzeichnet/ die gegen einan{der} über ſthond/ vnd den
              <lb/>
            dritten auch/ es ſeye wo es wölle in dem ring/ mag allwegen durch diſe drey
              <lb/>
            puncten ein großer circkel gefürt werdẽ. </s>
            <s xml:id="echoid-s13568" xml:space="preserve">Laß die kugel A B ſein/ vñ in der
              <lb/>
            ſelbẽ zwen punctẽ gegen einan{der} über ſthen A B/ vñ noch
              <lb/>
              <figure xlink:label="fig-0473-01" xlink:href="fig-0473-01a" number="45">
                <variables xml:id="echoid-variables36" xml:space="preserve">a c d b</variables>
              </figure>
            ein anderer punctẽ C wo mã will. </s>
            <s xml:id="echoid-s13569" xml:space="preserve">ſo ſag ich mã mag durch
              <lb/>
            diſe puncten ein großen circkel ziehen/ vnnd den wie man
              <lb/>
            will durch A B C richtẽ/ wañ auch vie poli geordnet A B/
              <lb/>
            den ſelbigen zůring herumb füren. </s>
            <s xml:id="echoid-s13570" xml:space="preserve">deßhalbẽ iſt offenbar/
              <lb/>
            daß er durch das C gehn wirt/ vnnd wirt alſo diſer circkel
              <lb/>
            A D B durch die drey punctẽ kom̃en. </s>
            <s xml:id="echoid-s13571" xml:space="preserve">Sonſt wañ man ein
              <lb/>
            Diameter machet/ wölcher durch der kugel centrũ võ dem A in dz B ghet/
              <lb/>
            ſol man die linien auß dem C in das A vnd B ziehẽ/ ſo wirt ein triangel an
              <lb/>
            der einen ſeitẽ A B C/ nach den eylff elementen vñ gründen Euclidis. </s>
            <s xml:id="echoid-s13572" xml:space="preserve">vm̃
              <lb/>
            diſen beſchreib man ein circkel auß dem vierdtẽ bůch der Elementẽ/ ſo wirt
              <lb/>
            ein großer darauß/ nach der achtẽ ſchlußredẽ. </s>
            <s xml:id="echoid-s13573" xml:space="preserve">Alſo hatt man auß diſem ein
              <lb/>
            rechten verſtãd/ in beydẽ wegẽ des lauffs der trepidation vñ zitterũg. </s>
            <s xml:id="echoid-s13574" xml:space="preserve">Dañ
              <lb/>
            wañ man in des achten him̃els Ecliptica ſetzet zwen punctẽ gegẽ einander/
              <lb/>
            die nateürlich o{der} Mathematiſch angehefftet ſeind/ mag alwegẽ durch diſe
              <lb/>
            vñ den drittẽ punctẽ/ ſo in dẽ vm̃kreiß iſt/ an einẽ kleinen circkel/ ein an{der}er
              <lb/>
            großer gefürt werdẽ/ vnd wirt eben der ſelbig durch den anderẽ ring ghen/
              <lb/>
            ſo dargegẽ ſteth/ mit dem puncte/ ſo gegẽ über iſt/ nach vorgemelter ſchluß
              <lb/>
            red. </s>
            <s xml:id="echoid-s13575" xml:space="preserve">darũb wirt es ſein/ als wañ diſer einig circkel (nach dem die punctẽ der
              <lb/>
            zertheylũg ſteiff ſthond) bewegt wurde/ wañ man ein gewüſſen punctẽ an
              <lb/>
            dem vm̃kreiß der kugel gibt/ deß vnordẽlichen lauffs/ welchen man {der} trepi
              <lb/>
            datiõ neñet. </s>
            <s xml:id="echoid-s13576" xml:space="preserve">dañ er beſchicht nit bey den warhafftigẽ Polen (als gemeldet)
              <lb/>
            vnd thůt alſo diſes gnůg nach der erſten weyß. </s>
            <s xml:id="echoid-s13577" xml:space="preserve">Nach der anderen aber thůt
              <lb/>
            genůg/ wann man ein punctẽ in der kugel wo man will nim̃et/ als nam̃lich
              <lb/>
            </s>
          </p>
        </div>
      </text>
    </echo>
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