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

Table of handwritten notes

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          <p>
            <s xml:id="echoid-s16487" xml:space="preserve">
              <pb o="dxvi" file="0572" n="572" rhead="Von mancherlei wunderbaren"/>
            der breite vnderſcheid viij grad vnd x minuten. </s>
            <s xml:id="echoid-s16488" xml:space="preserve">ſo multiplicier viij mit xl.
              <lb/>
            </s>
            <s xml:id="echoid-s16489" xml:space="preserve">ſo werden cccclxxx. </s>
            <s xml:id="echoid-s16490" xml:space="preserve">zů wölchem thůn xv/ für ſo vyl minuten/ dann würſt
              <lb/>
            du haben die rechte weitte/ ſo Meyland von Neapels inn Sardinien gele-
              <lb/>
            gen/ nam̃lich vierhundert vnnd fünff vnd neüntzig tauſent ſchritt. </s>
            <s xml:id="echoid-s16491" xml:space="preserve">vnnd
              <lb/>
            diſes iſt der erſt faal/ bedarff auch keiner taflen. </s>
            <s xml:id="echoid-s16492" xml:space="preserve">Hie můß man auff mer-
              <lb/>
            cken/ daß Ptolemeus vnd die anderen einem yeden theil fünff hundert ſta-
              <lb/>
            dien zů ſchreiben/ damit es zwey vnd ſechtzig tauſent ſchritt bringend. </s>
            <s xml:id="echoid-s16493" xml:space="preserve">doch
              <lb/>
            rechnen die Hiſpanier allein auß fleiſſiger auffmerckung allein ſechtzig tau
              <lb/>
            ſet ſtadien/ dieweil tauſent ſchritt bey dem Ptolomeo etwas kürtzer ſeind. </s>
            <s xml:id="echoid-s16494" xml:space="preserve">
              <lb/>
            dann ein Hiſpaniſche meil haltet drey tauſent Italiſche ſchritt. </s>
            <s xml:id="echoid-s16495" xml:space="preserve">vñ ein grad
              <lb/>
              <handwritten xlink:label="hd-0572-1" xlink:href="hd-0572-1a" number="40"/>
              <handwritten xlink:label="hd-0572-1" xlink:href="hd-0572-1a" number="41"/>
            am him̃el haltet xx Hiſpaniſche meil. </s>
            <s xml:id="echoid-s16496" xml:space="preserve">du magſt aber ein weyß für dich nem-
              <lb/>
            men/ welche dir gefalt/ es ligt nit vyl daran.</s>
            <s xml:id="echoid-s16497" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16498" xml:space="preserve">Der ander faal ſeye/ daß das ein orth ſeye E/ das ander F/ aber B C vnd
              <lb/>
            B F ſeyend gleich/ ſo werden ſie ein breite vnnd nit ein lenge habenn. </s>
            <s xml:id="echoid-s16499" xml:space="preserve">es ſoll
              <lb/>
              <handwritten xlink:label="hd-0572-1" xlink:href="hd-0572-1a" number="40"/>
              <handwritten xlink:label="hd-0572-1" xlink:href="hd-0572-1a" number="41"/>
            auch der vnderſcheid F E bekannt ſein/ vnd der bogen A D/ dañ magſt du
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            auff zwen weg die rechte weite vnd gelegenheit erlangen. </s>
            <s xml:id="echoid-s16500" xml:space="preserve">Du magſt diſem
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            exempel nach volgen. </s>
            <s xml:id="echoid-s16501" xml:space="preserve">Iliſſus/ welche ſtatt allein noch in der jnſel Rhodis
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            vorhanden/ hatt inn der lenge lviij grad vñ ein drittheil. </s>
            <s xml:id="echoid-s16502" xml:space="preserve">Paphara aber bey
              <lb/>
            Hierapolis inn Syria/ welche man heüttigs tags Alepen nennet/ hatt an
              <lb/>
            der lenge lxxj grad. </s>
            <s xml:id="echoid-s16503" xml:space="preserve">deßhalbenn ſeind ſie inn einem Parallelo/ habend aber
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            nit ein lenge. </s>
            <s xml:id="echoid-s16504" xml:space="preserve">Deßhalben ſolt du durch vnſer taflen alſo handlen. </s>
            <s xml:id="echoid-s16505" xml:space="preserve">Sůch ein
              <lb/>
            geraden ſinum oder ſchooß von liiij graden/ das iſt das überig an der orthẽ
              <lb/>
            breite gegen einem quadranten/ vnd iſt 2913. </s>
            <s xml:id="echoid-s16506" xml:space="preserve">vnd ein gerade ſchoos võ ſechs
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            theilen vnnd xxxv minuten/ auch der orthen lenge vnderſcheid eines hal-
              <lb/>
            ben bogen/ vnd iſt 412. </s>
            <s xml:id="echoid-s16507" xml:space="preserve">diſes multiplicier mit 2912. </s>
            <s xml:id="echoid-s16508" xml:space="preserve">ſo werden 1199744. </s>
            <s xml:id="echoid-s16509" xml:space="preserve">diſes
              <lb/>
            diuidier durch den gantzen geraden Sinum/ welcher 3600. </s>
            <s xml:id="echoid-s16510" xml:space="preserve">hatt/ ſo kom̃en
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            333 der rechten ſeiten ſchooß harfür. </s>
            <s xml:id="echoid-s16511" xml:space="preserve">dann fůch den bogen/ ſo fünff grad vñ
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            xix minutenn hatt/ welche zwifache zaal der weitgelegenheit bogenn hal-
              <lb/>
            tet in dem großen circkel/ nam̃lich x grad xxxix minuten. </s>
            <s xml:id="echoid-s16512" xml:space="preserve">deßhalben iſt die
              <lb/>
            ware weite vnd gelegenheit dcxxxix. </s>
            <s xml:id="echoid-s16513" xml:space="preserve">tauſent ſchritt. </s>
            <s xml:id="echoid-s16514" xml:space="preserve">Aber durch des Mon-
              <lb/>
            teregien taflen/ weil man A D für bekannt ſetzet/ iſt der lenge vnderſcheid
              <lb/>
            in dem eck B vnd E A/ vnd F D der bekannten/ namlich die gleiche breite.
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            </s>
            <s xml:id="echoid-s16515" xml:space="preserve">auß welchem begibt ſich daß kein eck E oder F bekannt ſeye. </s>
            <s xml:id="echoid-s16516" xml:space="preserve">ſonſt were nach
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            der ſiebenden ſchlußred das B Polus in E F vnd nit in A D. </s>
            <s xml:id="echoid-s16517" xml:space="preserve">Deßhalben
              <lb/>
            ſetzt man/ wann E F in geleich abgetheilet/ vnd der bogen auß dem B kom
              <lb/>
            met/ ſo eigentlich ſchnůrſchlecht auff das E F fallet. </s>
            <s xml:id="echoid-s16518" xml:space="preserve">darumb mit dem hal-
              <lb/>
            ben theil xiij grad vnd x minuten/ welches dann ſechs grad vnd dreiſſig mi
              <lb/>
            nuten bey ſeitz/ vñ vnder dem liiij grad der größe B F/ vnd der überblibe-
              <lb/>
            nen breitte/ find ich das halb F C/ als des groſſen bogen fünff grad vnnd
              <lb/>
            neünzehẽ minuten/ welches doplet ſeye zehẽ grad vnd faſt neun vñ dreyſſig
              <lb/>
            minuten. </s>
            <s xml:id="echoid-s16519" xml:space="preserve">diſes iſt die rechte weite. </s>
            <s xml:id="echoid-s16520" xml:space="preserve">wann man diſe mit ſechtzig multipliciert/
              <lb/>
            kommen dcxxxix tauſent ſchritt.</s>
            <s xml:id="echoid-s16521" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s16522" xml:space="preserve">Der dritt caſus oder faal iſt/ daß die orth ſeyend G vnd F/ vnd die breite
              <lb/>
            bekannt/ vnd der bogen A D der lenge vnderſcheid/ vnnd ſeye B F nit ge-
              <lb/>
            leich dem B G. </s>
            <s xml:id="echoid-s16523" xml:space="preserve">ich begert auch die rechte weite ſo zwiſchẽ jnen iſt zůerfarẽ/
              <lb/>
            ſo far für/ wie in dem dritten faal daoben angezeigt. </s>
            <s xml:id="echoid-s16524" xml:space="preserve">welches exempel ſeye.
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            </s>
            <s xml:id="echoid-s16525" xml:space="preserve">Zů Rom iſt die lenge dreiſſig ſechs grad vnnd viertzig minuten/ die breitte
              <lb/>
            zwey vñ viertzig grad. </s>
            <s xml:id="echoid-s16526" xml:space="preserve">Nürenberg in Teütſchlanden hatt ſieben vñ </s>
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