Apian, Petrus, Instrvmentvm Sinvvm, sev primi mobilis

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          <head xml:id="echoid-head5" xml:space="preserve">INDEX CENTVM PRONVNCIA-
            <lb/>
          torum, quæ hoclibello ſecundum genuinum &
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          uniuerſalem uſum ſinuum declarantur.</head>
          <head xml:id="echoid-head6" xml:space="preserve">PRONVNCIATVM I.</head>
          <p>
            <s xml:id="echoid-s40" xml:space="preserve">1. </s>
            <s xml:id="echoid-s41" xml:space="preserve">Inſtrumentum hoc PRIMI MOBILIS componere, & </s>
            <s xml:id="echoid-s42" xml:space="preserve">in genere uſum eius bre
              <lb/>
            uiter intelligere.</s>
            <s xml:id="echoid-s43" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s44" xml:space="preserve">Canones ſiue declaratio tabularum ſinuum.</s>
            <s xml:id="echoid-s45" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s46" xml:space="preserve">Appendix deuſu Quadrantis in eadem re.</s>
            <s xml:id="echoid-s47" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s48" xml:space="preserve">2. </s>
            <s xml:id="echoid-s49" xml:space="preserve">Sphæram octauam æquare cum nona & </s>
            <s xml:id="echoid-s50" xml:space="preserve">decima, & </s>
            <s xml:id="echoid-s51" xml:space="preserve">ſtellas fixas, ſimul ac planetarũ
              <lb/>
            auges per hoc uerificare.</s>
            <s xml:id="echoid-s52" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s53" xml:space="preserve">3. </s>
            <s xml:id="echoid-s54" xml:space="preserve">Latitudinem Lunæ ab eclyptica per ſinus colligere.</s>
            <s xml:id="echoid-s55" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s56" xml:space="preserve">4. </s>
            <s xml:id="echoid-s57" xml:space="preserve">Exipſa Lunæ latitudine, diſtantiam illius à capite uel cauda Draconis Lunæ (quã
              <lb/>
            in tabulis argumentum latitudinis Lunæ uocamus) cognoſcere.</s>
            <s xml:id="echoid-s58" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s59" xml:space="preserve">5. </s>
            <s xml:id="echoid-s60" xml:space="preserve">Cuiuſcun puncti imaginatione concepta in eclyptica, inuenire declinationem
              <lb/>
            ab æquinoctiali.</s>
            <s xml:id="echoid-s61" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s62" xml:space="preserve">6. </s>
            <s xml:id="echoid-s63" xml:space="preserve">Cognita Solis declinatione (quod & </s>
            <s xml:id="echoid-s64" xml:space="preserve">in meridie & </s>
            <s xml:id="echoid-s65" xml:space="preserve">oriente Sole facilime fieri po-
              <lb/>
            teſt) adhuc gradum illum zodiaci internoſcere, quem iſta declinatio tangit, at
              <lb/>
            unum cum eo punctum efficitur.</s>
            <s xml:id="echoid-s66" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s67" xml:space="preserve">7. </s>
            <s xml:id="echoid-s68" xml:space="preserve">Cuiuslibet arcus eclypticæ, qui principium ſuum ab æquinoctiali & </s>
            <s xml:id="echoid-s69" xml:space="preserve">interſectione
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            cum eclyptica capit, aſcenſionem in ſphæra recta addiſcere.</s>
            <s xml:id="echoid-s70" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s71" xml:space="preserve">8. </s>
            <s xml:id="echoid-s72" xml:space="preserve">Habita iam aſcenſione recta æquinoctiali, arcum ipſius eclypticæ cum eo aſcenden
              <lb/>
            tem in ſphæra recta cognoſcere.</s>
            <s xml:id="echoid-s73" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s74" xml:space="preserve">9. </s>
            <s xml:id="echoid-s75" xml:space="preserve">Quum arcum aliquem eclypticæ cognoſcere cupis, cum quo æqualis arcus æqua-
              <lb/>
            toris aſcendit in ſphæra recta, iam´ principium ſiue terminus illius arcus tibi in-
              <lb/>
            notuit, alterum quo terminum ex artiſicioſa ſupputatione colligere.</s>
            <s xml:id="echoid-s76" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s77" xml:space="preserve">10. </s>
            <s xml:id="echoid-s78" xml:space="preserve">Punctum eclypticæ in qualibet quarta, qui terminat arcum illum, qui exceſsionem
              <lb/>
            habet ſuper aſcenſionem rectam, longe maximam, quam aliquis arcus eclypticæ
              <lb/>
            unquam habere poteſt, beneficio numerorum indagare.</s>
            <s xml:id="echoid-s79" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s80" xml:space="preserve">11. </s>
            <s xml:id="echoid-s81" xml:space="preserve">Si quis arcum eclypticæ & </s>
            <s xml:id="echoid-s82" xml:space="preserve">aſcenſionem eius rectam utrun id in unam ſummam
              <lb/>
            redactũ tibi proponat, quemlibet arcũ eclypticæ & </s>
            <s xml:id="echoid-s83" xml:space="preserve">æquatoris ſibi correſponden-
              <lb/>
            tis inde elicere.</s>
            <s xml:id="echoid-s84" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s85" xml:space="preserve">12. </s>
            <s xml:id="echoid-s86" xml:space="preserve">Cuiuslibet puncti eclypticæ uel etiam ſtellæ fixæ, cuius enim nota ſit declinatio,
              <lb/>
            amplitudinem ortiuam in quacun eleuatione poli perſcrutari.</s>
            <s xml:id="echoid-s87" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s88" xml:space="preserve">13. </s>
            <s xml:id="echoid-s89" xml:space="preserve">Cognita iam antea amplitudine, gradum inuenire zodiaci, qui amplitudinẽ iſtam
              <lb/>
            conſtituit.</s>
            <s xml:id="echoid-s90" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s91" xml:space="preserve">14. </s>
            <s xml:id="echoid-s92" xml:space="preserve">Altitudinem poli in ſingulos dies ex amplitudine ortiua uel occidua, Solis ſiue ſtel
              <lb/>
            larum, adpoſite inueſtigare.</s>
            <s xml:id="echoid-s93" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s94" xml:space="preserve">15. </s>
            <s xml:id="echoid-s95" xml:space="preserve">In qualibet regione differentiã inquirere aſcenſionalẽ, p quã longitudo dierũ & </s>
            <s xml:id="echoid-s96" xml:space="preserve">no
              <lb/>
            ctiũ inuenitur, & </s>
            <s xml:id="echoid-s97" xml:space="preserve">unde lõgitudo diurna per uniuerſum orbẽ facile cognoſci poteſt</s>
          </p>
          <p>
            <s xml:id="echoid-s98" xml:space="preserve">16. </s>
            <s xml:id="echoid-s99" xml:space="preserve">Longitudinem diurnam ſuper quodcun punctum eclypticæ alia quadam ratio-
              <lb/>
            ne addiſcere.</s>
            <s xml:id="echoid-s100" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s101" xml:space="preserve">17. </s>
            <s xml:id="echoid-s102" xml:space="preserve">Cognita regionis alicuius die longiſsima, aut alioqui propoſita, altitudinem poli, in
              <lb/>
            qua tanta eſt diei quantitas, ex ſphærica ſupputatione inuenire.</s>
            <s xml:id="echoid-s103" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s104" xml:space="preserve">18. </s>
            <s xml:id="echoid-s105" xml:space="preserve">Cuiuslibet arcus eclypticæ, qui incipiat in ſectione uernali, aſcenſionem obliquam
              <lb/>
            in quacun ſiue ciuitate ſiue regione ſupputare.</s>
            <s xml:id="echoid-s106" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s107" xml:space="preserve">19. </s>
            <s xml:id="echoid-s108" xml:space="preserve">Quod ſi forte aſcenſio obliqua iam antea fuerit cũ eleuatione poli cognita, adhuc ta
              <lb/>
            men gradũ eciypticæ ſimul tunc aſcendentẽ ſuper horizontẽ experiri & </s>
            <s xml:id="echoid-s109" xml:space="preserve">indagare.</s>
            <s xml:id="echoid-s110" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s111" xml:space="preserve">20. </s>
            <s xml:id="echoid-s112" xml:space="preserve">Altitudinem Solis in circulo uerticali (dummodo ſit in ſigno aliquo ſeptentriona-
              <lb/>
            li) inueſtigare.</s>
            <s xml:id="echoid-s113" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s114" xml:space="preserve">21. </s>
            <s xml:id="echoid-s115" xml:space="preserve">Altitudinem ſeu eleuationẽ poli ex altitudine Solis in circulo uerticali inquirere.</s>
            <s xml:id="echoid-s116" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s117" xml:space="preserve">22. </s>
            <s xml:id="echoid-s118" xml:space="preserve">Gradum Solis & </s>
            <s xml:id="echoid-s119" xml:space="preserve">quotidie & </s>
            <s xml:id="echoid-s120" xml:space="preserve">expedite inuenire ex altitudine eiuſdem in circulo uer
              <lb/>
            ticali, ſi modo Sol fuerit in ſignis ſeptentrionalibus.</s>
            <s xml:id="echoid-s121" xml:space="preserve"/>
          </p>
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