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

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            <s xml:id="echoid-s13319" xml:space="preserve">
              <pb o="ccccvii" file="0463" n="463" rhead="ſachen/ Das acht bůch."/>
            ſeyen/ vnd diſes ſchnůrſchlecht. </s>
            <s xml:id="echoid-s13320" xml:space="preserve">darumb wöllen ſie dz in diſen puncten aller
              <lb/>
            vmbkreyßen Poli ſtandẽ/ alſo dz allwegen/ die him̃el bewegẽ ſich wie ſie wöl
              <lb/>
            len/ die Poli ein viertheil eines großen circkels eigentlich von einander ſey
              <lb/>
            en. </s>
            <s xml:id="echoid-s13321" xml:space="preserve">Deßhalben wann man ein puncten F ſtellet (zů einem exempel) für den
              <lb/>
              <note position="left" xlink:label="note-0463-01" xlink:href="note-0463-01a" xml:space="preserve">xij.</note>
            Antarctiſchen Polen/ er ſeye beweglich oder vnbeweglich/ ſo iſt nach der an
              <lb/>
            deren weyß bekannt/ daß A zů der rechten/ B der punct/ doch A der Occi-
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            dent vnd nidergang/ zů der lincken D der Orient vnd auffgang/ vnd A deß
              <lb/>
            himmels mitte/ C deß him̃els nidere. </s>
            <s xml:id="echoid-s13322" xml:space="preserve">alſo wirt der gantz halb circkel F D G
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            ſein/ wölches mittel D iſt vñ Oriẽt geneñt wirt/ F B G Occidẽt/ F A G deß
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            Mittags/ F C G dz vn{der} theil deß him̃els/ D F B Antarcticus/ D G B Are
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            ticus halb circkel oder theil geneñet. </s>
            <s xml:id="echoid-s13323" xml:space="preserve">was auch gegẽ diſen halbẽ circklẽ laufft
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            wirt geſagt werden/ es bewege ſich gegen dem ſelbigen theil. </s>
            <s xml:id="echoid-s13324" xml:space="preserve">Man wirt auch
              <lb/>
              <note position="left" xlink:label="note-0463-02" xlink:href="note-0463-02a" xml:space="preserve">xiij.</note>
            ſagen daß die mittel circkel/ ſo zwiſchen den Polis durch die puncten der po
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            ſition ghond/ vnd nit durch die Polen/ der bewegung circkel ſeye. </s>
            <s xml:id="echoid-s13325" xml:space="preserve">deßhalbẽ
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            wirt deß Orients vnd Occidents A B C D ſein/ dann es ghet durch B vñ
              <lb/>
            D/ vnd nit durch F G. </s>
            <s xml:id="echoid-s13326" xml:space="preserve">Arcticus vnnd Antarcticus D F B G/ die mittel vñ
              <lb/>
            nidereſt circkel A F C G. </s>
            <s xml:id="echoid-s13327" xml:space="preserve">Dañ ſo die Poli geſetzet/ hat man von ſtundan die
              <lb/>
            mittelcirckel/ vnd ſeind die ſo nit durch die Polos ghond. </s>
            <s xml:id="echoid-s13328" xml:space="preserve">Es ſeind aber ge-
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            wüſſe theil deß circkels/ wölche durch die puncten der theilen vnnd die Po-
              <lb/>
            los deſſelbigen lauff ghand.</s>
            <s xml:id="echoid-s13329" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s13330" xml:space="preserve">Der circkel aber der Poſition zeigt an/ was an dem einen orth/ den einen
              <lb/>
              <note position="left" xlink:label="note-0463-03" xlink:href="note-0463-03a" xml:space="preserve">xiiij.</note>
            lauff antrifft/ vnd was an dem anderẽ orth das widerſpil. </s>
            <s xml:id="echoid-s13331" xml:space="preserve">als dz F D G B/
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            was oben ſthet/ laufft von Orient in Occident. </s>
            <s xml:id="echoid-s13332" xml:space="preserve">was vnden ſthet/ von Occi
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            dent in Orient. </s>
            <s xml:id="echoid-s13333" xml:space="preserve">alſo dienet ein ye{der} circkel den zweyen Poſitionen vnd gelegẽ
              <lb/>
            heiten/ vñ ein yede Poſition zweyen circklen/ wie du hie beyſetz ſichſt. </s>
            <s xml:id="echoid-s13334" xml:space="preserve">Habe
              <lb/>
            diſes zů einẽ exempel/ A B C D E iſt ein circkel {der} Poſition am mittel vñ ni
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            derſten him̃el/ vnd
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            der mittel lauff võ
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            Orient in Occidẽt
              <lb/>
            vñ widerũ deß O-
              <lb/>
            rients vnnd Occi-
              <lb/>
            dents Poſütiõ hat
              <lb/>
            ein circkel/ ſo ge-
              <lb/>
            wüß anzeiget D F
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            B G/ vnd ein mit
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            len/ durch wölchen der lauff am ſchnelleſten ghet/ vnd iſt A B C D. </s>
            <s xml:id="echoid-s13335" xml:space="preserve">Dann
              <lb/>
              <note position="left" xlink:label="note-0463-04" xlink:href="note-0463-04a" xml:space="preserve">xv.</note>
            ein yede bewegung in einẽ yeden kreyß hat ein großen circkel/ in wölchem al
              <lb/>
            le puncten ſeind/ ſo gar ſchnell lauffen. </s>
            <s xml:id="echoid-s13336" xml:space="preserve">dann wie die nateürliche oder Ma-
              <lb/>
            thematiſche Poli ſeind/ die da in einer yeden bewegung růwen/ alſo iſt auch
              <lb/>
            der groß circkel/ {der} mittel vnder jnen/ der nateürlich ſteyff vñ angehefft iſt.
              <lb/>
            </s>
            <s xml:id="echoid-s13337" xml:space="preserve">Oder es iſt der Mathematiſch/ der auß der bewegung am ſchnelleſtẽ laufft. </s>
            <s xml:id="echoid-s13338" xml:space="preserve">
              <lb/>
            Man ſoll auch zů vorgender dingen erkañtnuß verſthen/ weil drey groß cir
              <lb/>
              <note position="left" xlink:label="note-0463-05" xlink:href="note-0463-05a" xml:space="preserve">xvj.</note>
            ckel in {der} kugel ſich vndereinanderẽ ſchnůrſchlecht theilen/ ſeind jre gemeine
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            abtheilungen allwegen an ſtatt deß Poli/ vnd diſes von wegen deß dritten
              <lb/>
            circkel/ als A C/ B D/ F G/ theilẽ ſich grad in ſechß punchtẽ A B C D F G/
              <lb/>
            alſo das F G vnnd B D ſich in A C zertheilen/ werdend A C Poli ſein F D
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            G B/ wölliches der drit circkel iſt. </s>
            <s xml:id="echoid-s13339" xml:space="preserve">Man vermeinet wol an der ebene es ſey-
              <lb/>
            end acht abtheylungen/ aber es ſeind nur ſechs/ wie man dann ſolliches an
              <lb/>
              <note position="right" xlink:label="note-0463-06" xlink:href="note-0463-06a" xml:space="preserve">
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              # Poſition # Mittel
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              D F G B # Orient vñ Occi. # Arct vnnd Ant.
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              A B C D # Mitt. vnd Nid. # Orient. vnd Occid.
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              A F C G # Arct. vnd Ant. # Mittel vnd Nid.
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              Orie. vñ Occ. # D F B G # A B C D
                <lb/>
              Arct. vnd Ant. # A F C G # D F B G
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              Mittel vñ ni \\ dereſt. # A B C D # A F C G
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              </note>
            </s>
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