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          <pb file="0010" n="10" rhead="INDEX."/>
          <p>
            <s xml:id="echoid-s122" xml:space="preserve">23. </s>
            <s xml:id="echoid-s123" xml:space="preserve">Cognita iam & </s>
            <s xml:id="echoid-s124" xml:space="preserve">altitudine Solis in circulo uerticali, & </s>
            <s xml:id="echoid-s125" xml:space="preserve">eleuatione poli, per utran
              <lb/>
            illam amplitudinem Solis ad eum diem, quo altitudinem Solis in circulo uertica-
              <lb/>
            li obſeruaſti, inuenire.</s>
            <s xml:id="echoid-s126" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s127" xml:space="preserve">24. </s>
            <s xml:id="echoid-s128" xml:space="preserve">Ex altitudine Solis in circulo uerticali, & </s>
            <s xml:id="echoid-s129" xml:space="preserve">ex amplitudine Solis eiuſdẽ diei altitudi-
              <lb/>
            nẽ poli expedite inueſtigare, etiã ſi neſcias gradũ Solis ſimul & </s>
            <s xml:id="echoid-s130" xml:space="preserve">declinationẽ illius</s>
          </p>
          <p>
            <s xml:id="echoid-s131" xml:space="preserve">25. </s>
            <s xml:id="echoid-s132" xml:space="preserve">Quocun tempore, ſiue qualibet hora, gradum eclypticæ, qui meridianum tangit,
              <lb/>
            ex ſphærica ſupputatione colligere.</s>
            <s xml:id="echoid-s133" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s134" xml:space="preserve">26. </s>
            <s xml:id="echoid-s135" xml:space="preserve">Quatuor illos angulos, quos eclyptica cauſſat cũ meridiano, ad unumquod pun-
              <lb/>
            ctum, quo eclyptica meridianum tangit, artificioſe cognoſcere.</s>
            <s xml:id="echoid-s136" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s137" xml:space="preserve">27. </s>
            <s xml:id="echoid-s138" xml:space="preserve">Eoſdem angulos quatuor, quos eclyptica facit cum meridiano, facilius inquirere.</s>
            <s xml:id="echoid-s139" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s140" xml:space="preserve">28. </s>
            <s xml:id="echoid-s141" xml:space="preserve">Angulos illos eclypticæ & </s>
            <s xml:id="echoid-s142" xml:space="preserve">meridiani, adhuc tertia quadam ratione, à prioribus di-
              <lb/>
            uerſa, inueſtigare.</s>
            <s xml:id="echoid-s143" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s144" xml:space="preserve">29. </s>
            <s xml:id="echoid-s145" xml:space="preserve">Diſtantiam zenith à 90. </s>
            <s xml:id="echoid-s146" xml:space="preserve">gradu ab aſcendente, & </s>
            <s xml:id="echoid-s147" xml:space="preserve">breuiſsime & </s>
            <s xml:id="echoid-s148" xml:space="preserve">exactiſsime reperire</s>
          </p>
          <p>
            <s xml:id="echoid-s149" xml:space="preserve">30. </s>
            <s xml:id="echoid-s150" xml:space="preserve">Aſcendentem, hoc eſt, gradum eclypticæ, qui partiliter in horizonte conſtituitur,
              <lb/>
            quacun & </s>
            <s xml:id="echoid-s151" xml:space="preserve">regione & </s>
            <s xml:id="echoid-s152" xml:space="preserve">hora expedite cognoſcere.</s>
            <s xml:id="echoid-s153" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s154" xml:space="preserve">31. </s>
            <s xml:id="echoid-s155" xml:space="preserve">Angulum ab horizonte obliquo cum eclyptica cauſſatum, per expeditam ſupputa-
              <lb/>
            tionem cognoſcere.</s>
            <s xml:id="echoid-s156" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s157" xml:space="preserve">32. </s>
            <s xml:id="echoid-s158" xml:space="preserve">Quantitatem anguli ab horizonte et eclyptica cauſſati diuerſo modo inquirere, ha
              <lb/>
            bito tantum prius medij cœli gradu.</s>
            <s xml:id="echoid-s159" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s160" xml:space="preserve">33. </s>
            <s xml:id="echoid-s161" xml:space="preserve">Angulum occidentis, quem eclyptica cum horizonte efficit in parte occidua, prom
              <lb/>
            pte & </s>
            <s xml:id="echoid-s162" xml:space="preserve">facile inueſtigare.</s>
            <s xml:id="echoid-s163" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s164" xml:space="preserve">34. </s>
            <s xml:id="echoid-s165" xml:space="preserve">Altitudinem Solis ſuper horizontem quotidie & </s>
            <s xml:id="echoid-s166" xml:space="preserve">in ſingulas horas toto terrarum
              <lb/>
            orbe ex ſolerti quadam ſupputatione colligere.</s>
            <s xml:id="echoid-s167" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s168" xml:space="preserve">35. </s>
            <s xml:id="echoid-s169" xml:space="preserve">Eandem Solis altitudinem ſuper horizontem quacun hora, & </s>
            <s xml:id="echoid-s170" xml:space="preserve">ubiuis gentium di
              <lb/>
            uerſa ratione indagare.</s>
            <s xml:id="echoid-s171" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s172" xml:space="preserve">36. </s>
            <s xml:id="echoid-s173" xml:space="preserve">Rurſus alio modo cognoſcere altitudinem Solis ſuper horizontem, omni die & </s>
            <s xml:id="echoid-s174" xml:space="preserve">mo
              <lb/>
            mento per uniuerſum terrarum orbem.</s>
            <s xml:id="echoid-s175" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s176" xml:space="preserve">37. </s>
            <s xml:id="echoid-s177" xml:space="preserve">Adhuc diuerſa uia eandem Solis altitudinem ſupra horizontem in quacun eleua-
              <lb/>
            tione poli depræhendere.</s>
            <s xml:id="echoid-s178" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s179" xml:space="preserve">38. </s>
            <s xml:id="echoid-s180" xml:space="preserve">Etiamnum alia ratione altitudinem illam Solis ſupra horizontem ubiuis locorum
              <lb/>
            pulchre et expedite cognoſcere.</s>
            <s xml:id="echoid-s181" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s182" xml:space="preserve">39. </s>
            <s xml:id="echoid-s183" xml:space="preserve">Diſtantiam Solis ante meridiem per circulum magnum ab ipſo puncto interſecti-
              <lb/>
            onis æquatoris & </s>
            <s xml:id="echoid-s184" xml:space="preserve">horizontis ſolerte inueſtigare.</s>
            <s xml:id="echoid-s185" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s186" xml:space="preserve">40. </s>
            <s xml:id="echoid-s187" xml:space="preserve">Angulum perquirere quem facitæquinoctialis cum circulo magno ducto per cor-
              <lb/>
            pus ſolare, & </s>
            <s xml:id="echoid-s188" xml:space="preserve">ortum æquinoctialis iuxta punctum illud, ubi circulus iſte maior â
              <lb/>
            Sole ductus cum æquinoctiali horizontem attingit.</s>
            <s xml:id="echoid-s189" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s190" xml:space="preserve">41. </s>
            <s xml:id="echoid-s191" xml:space="preserve">Angulum etiam illum explorare, quem cum horizonte facit circulus magnus, du-
              <lb/>
            ctus à Sole ubicun ſito ad ortum æquinoctialem.</s>
            <s xml:id="echoid-s192" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s193" xml:space="preserve">42. </s>
            <s xml:id="echoid-s194" xml:space="preserve">Quãta ſit diſtãtia Solis aut ſtellæ â uero illo æꝗnoctiali ortu uel occaſu uerſus meri-
              <lb/>
            diem ſiue ſeptentrionem, aut uiciſsim à meridiano ad ortum uel occidentem, expe-
              <lb/>
            dite cognoſcere.</s>
            <s xml:id="echoid-s195" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s196" xml:space="preserve">43. </s>
            <s xml:id="echoid-s197" xml:space="preserve">Diſtantiam Solis horizontalem à circulo uerticali diuerſa ratione indagare, ſed e-
              <lb/>
            iuſmodi quæ ad omnes ſtellas fixas & </s>
            <s xml:id="echoid-s198" xml:space="preserve">erroneas queat commode adhiberi.</s>
            <s xml:id="echoid-s199" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s200" xml:space="preserve">44. </s>
            <s xml:id="echoid-s201" xml:space="preserve">Altitudinem Solis ſupra horizontem omni momento, & </s>
            <s xml:id="echoid-s202" xml:space="preserve">ubicun gentium adhuc
              <lb/>
            ſexta ratione inuenire.</s>
            <s xml:id="echoid-s203" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s204" xml:space="preserve">45. </s>
            <s xml:id="echoid-s205" xml:space="preserve">Diſtantiam Solis horizontalem à circulo uerticali alio modo perquirere.</s>
            <s xml:id="echoid-s206" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s207" xml:space="preserve">46. </s>
            <s xml:id="echoid-s208" xml:space="preserve">Angulum quem facit eclyptica cũ circulo altitudinis, quem Sol ſiue ſtella attingit
              <lb/>
            ad horam aliquam propoſitam expedite cognoſcere.</s>
            <s xml:id="echoid-s209" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s210" xml:space="preserve">47. </s>
            <s xml:id="echoid-s211" xml:space="preserve">Eundem hunc angulũ eclypticæ & </s>
            <s xml:id="echoid-s212" xml:space="preserve">altitudinis circuli alio adhuc modo inueſtigare.</s>
            <s xml:id="echoid-s213" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s214" xml:space="preserve">48. </s>
            <s xml:id="echoid-s215" xml:space="preserve">Angulum eum ipſum quem duabus propoſitionibus oſtendimus adhuc alia ratio-
              <lb/>
            ne indicare.</s>
            <s xml:id="echoid-s216" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s217" xml:space="preserve">49. </s>
            <s xml:id="echoid-s218" xml:space="preserve">Angulum illum, de quo hactenus diſputatum eſt, etiamnum diuerſa uia inquirere.</s>
            <s xml:id="echoid-s219" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s220" xml:space="preserve">50. </s>
            <s xml:id="echoid-s221" xml:space="preserve">Cognito iã gradu aſcendentis, adhuc gradum eclypticæ ꝗ mediat cœlũ explorare.</s>
            <s xml:id="echoid-s222" xml:space="preserve"/>
          </p>
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