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        <div xml:id="echoid-div221" type="section" level="1" n="112">
          <p>
            <s xml:id="echoid-s7699" xml:space="preserve">
              <pb file="0090" n="90" rhead="GENVINVS VSVS"/>
            nalem per 15. </s>
            <s xml:id="echoid-s7700" xml:space="preserve">pronunciatum 7. </s>
            <s xml:id="echoid-s7701" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s7702" xml:space="preserve">22. </s>
            <s xml:id="echoid-s7703" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s7704" xml:space="preserve">In altera autem obſeruatione fuit amplitudo
              <lb/>
            31. </s>
            <s xml:id="echoid-s7705" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s7706" xml:space="preserve">53. </s>
            <s xml:id="echoid-s7707" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s7708" xml:space="preserve">unde ſequitur declinatio eius 20. </s>
            <s xml:id="echoid-s7709" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s7710" xml:space="preserve">42. </s>
            <s xml:id="echoid-s7711" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s7712" xml:space="preserve">ſimul & </s>
            <s xml:id="echoid-s7713" xml:space="preserve">differentia aſcenſi
              <lb/>
            onalis 24. </s>
            <s xml:id="echoid-s7714" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s7715" xml:space="preserve">49. </s>
            <s xml:id="echoid-s7716" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s7717" xml:space="preserve">Iam addo maiorem differentiam aſcenſionalem. </s>
            <s xml:id="echoid-s7718" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s7719" xml:space="preserve">24. </s>
            <s xml:id="echoid-s7720" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s7721" xml:space="preserve">49. </s>
            <s xml:id="echoid-s7722" xml:space="preserve">mi.
              <lb/>
            </s>
            <s xml:id="echoid-s7723" xml:space="preserve">ad differentiam horariam. </s>
            <s xml:id="echoid-s7724" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s7725" xml:space="preserve">27. </s>
            <s xml:id="echoid-s7726" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s7727" xml:space="preserve">33. </s>
            <s xml:id="echoid-s7728" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s7729" xml:space="preserve">ſumma erit 52. </s>
            <s xml:id="echoid-s7730" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s7731" xml:space="preserve">22. </s>
            <s xml:id="echoid-s7732" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s7733" xml:space="preserve">hic ſubtraho rur-
              <lb/>
            ſus differentiam aſcenſionalem, & </s>
            <s xml:id="echoid-s7734" xml:space="preserve">remanent 45. </s>
            <s xml:id="echoid-s7735" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s7736" xml:space="preserve">aſcenſio illa recta inter utrun pun
              <lb/>
            ctum eclypticæ, in quo Sol fuit tempore obſeruato. </s>
            <s xml:id="echoid-s7737" xml:space="preserve">At reliquum nihil inde deſidero
              <lb/>
            ad hanc operationem, niſi duas iſtas declinationes & </s>
            <s xml:id="echoid-s7738" xml:space="preserve">aſcenſionem illam rectam, duco igi
              <lb/>
            tur ſinum complementi minoris declinationis 99343. </s>
            <s xml:id="echoid-s7739" xml:space="preserve">in ſinum diſtantiæ aſcenſionis re
              <lb/>
            ctæ. </s>
            <s xml:id="echoid-s7740" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s7741" xml:space="preserve">43. </s>
            <s xml:id="echoid-s7742" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s7743" xml:space="preserve">70710. </s>
            <s xml:id="echoid-s7744" xml:space="preserve">productum diuido in totum, quotiens eſt 70245. </s>
            <s xml:id="echoid-s7745" xml:space="preserve">arcus eius erit
              <lb/>
              <note position="left" xlink:label="note-0090-01" xlink:href="note-0090-01a" xml:space="preserve">
                <emph style="it">Inuentum</emph>
                <lb/>
                <emph style="it">Primum.</emph>
              </note>
            44. </s>
            <s xml:id="echoid-s7746" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s7747" xml:space="preserve">38. </s>
            <s xml:id="echoid-s7748" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s7749" xml:space="preserve">inuentum primum. </s>
            <s xml:id="echoid-s7750" xml:space="preserve">Porrò hinc aſſumo ſinum minoris declinationis, eum
              <lb/>
            duco in totum, productum diuido in ſinum complementi inuenti primi, & </s>
            <s xml:id="echoid-s7751" xml:space="preserve">in quotiente
              <lb/>
            proueniunt 16070. </s>
            <s xml:id="echoid-s7752" xml:space="preserve">arcus eius eſt 9. </s>
            <s xml:id="echoid-s7753" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s7754" xml:space="preserve">15. </s>
            <s xml:id="echoid-s7755" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s7756" xml:space="preserve">quibus ſubductis à maxima declinatione
              <lb/>
            obſeruationis factæ, quæ eſt 20. </s>
            <s xml:id="echoid-s7757" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s7758" xml:space="preserve">42. </s>
            <s xml:id="echoid-s7759" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s7760" xml:space="preserve">inuentum ſecundum. </s>
            <s xml:id="echoid-s7761" xml:space="preserve">Poſtea duco ſinus com
              <lb/>
              <note position="left" xlink:label="note-0090-02" xlink:href="note-0090-02a" xml:space="preserve">
                <emph style="it">Inuentum</emph>
                <lb/>
                <emph style="it">ſecundum.</emph>
              </note>
            plementorum utriuſ inuenti in ſe. </s>
            <s xml:id="echoid-s7762" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s7763" xml:space="preserve">98009. </s>
            <s xml:id="echoid-s7764" xml:space="preserve">in 71161. </s>
            <s xml:id="echoid-s7765" xml:space="preserve">& </s>
            <s xml:id="echoid-s7766" xml:space="preserve">diuido in ſinum totum, quoti
              <lb/>
            ens erit 69744. </s>
            <s xml:id="echoid-s7767" xml:space="preserve">arcus autem 44. </s>
            <s xml:id="echoid-s7768" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s7769" xml:space="preserve">13. </s>
            <s xml:id="echoid-s7770" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s7771" xml:space="preserve">quibus itidem à toto ſublatis, remanent 45.
              <lb/>
            </s>
            <s xml:id="echoid-s7772" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s7773" xml:space="preserve">42. </s>
            <s xml:id="echoid-s7774" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s7775" xml:space="preserve">& </s>
            <s xml:id="echoid-s7776" xml:space="preserve">tot ſanè gradibus Sol in eclyptica per ambas obſeruationes conſtitit. </s>
            <s xml:id="echoid-s7777" xml:space="preserve">De-
              <lb/>
            inde duco etiam ſinum primi inuenti rurſus in totum, ac diuido in ſinum complementi
              <lb/>
              <note position="left" xlink:label="note-0090-03" xlink:href="note-0090-03a" xml:space="preserve">
                <emph style="it">Inuentum</emph>
                <lb/>
                <emph style="it">tertium.</emph>
              </note>
            primi inuenti, quotiens dabit 68012. </s>
            <s xml:id="echoid-s7778" xml:space="preserve">arcus eius eſt ipſum inuentum tertium. </s>
            <s xml:id="echoid-s7779" xml:space="preserve">Sinum illũ
              <lb/>
            poſtremo duco in ſinum complemẽti maioris declinationis, & </s>
            <s xml:id="echoid-s7780" xml:space="preserve">diuido per totum ſinum,
              <lb/>
            in quotiente inuenio 91696. </s>
            <s xml:id="echoid-s7781" xml:space="preserve">arcus eius eſt 66. </s>
            <s xml:id="echoid-s7782" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s7783" xml:space="preserve">30. </s>
            <s xml:id="echoid-s7784" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s7785" xml:space="preserve">quibus à 90. </s>
            <s xml:id="echoid-s7786" xml:space="preserve">ſubtractis, rema-
              <lb/>
            nent 23. </s>
            <s xml:id="echoid-s7787" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s7788" xml:space="preserve">30. </s>
            <s xml:id="echoid-s7789" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s7790" xml:space="preserve">Ecce quàm exacte iam inueni declinationem maximam Solis, quã
              <lb/>
            aliàs per totum annum duobus tantum diebus ſolent inquirere ubi uſuuenire poteſt, ut
              <lb/>
            per multos annos illis diebus Sol cœlo ſereno tamdiu uix conſpiciatur, at in hunc mo
              <lb/>
            dum propoſitionibus ijs centum finis eſto, ſint hæ lucubrationes noſtræ ſic concluſæ in
              <lb/>
            honorem ampliſsimi patris & </s>
            <s xml:id="echoid-s7791" xml:space="preserve">Epiſcopi Auguſteñ. </s>
            <s xml:id="echoid-s7792" xml:space="preserve">at inuſum omnium ſtudioſorum
              <lb/>
            Mathematices & </s>
            <s xml:id="echoid-s7793" xml:space="preserve">Aſtronomiæ.</s>
            <s xml:id="echoid-s7794" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div223" type="section" level="1" n="113">
          <head xml:id="echoid-head117" xml:space="preserve">FINIS.</head>
          <p>
            <s xml:id="echoid-s7795" xml:space="preserve">Norimbergæ apud Iohan. </s>
            <s xml:id="echoid-s7796" xml:space="preserve">Petreium,
              <lb/>
            Anno M. </s>
            <s xml:id="echoid-s7797" xml:space="preserve">D. </s>
            <s xml:id="echoid-s7798" xml:space="preserve">XLI.</s>
          </p>
        </div>
      </text>
    </echo>