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        <div xml:id="echoid-div135" type="section" level="1" n="72">
          <p>
            <s xml:id="echoid-s4502" xml:space="preserve">
              <pb file="0064" n="64" rhead="GENVINVS VSVS"/>
            plitudinis ſcilicet 48572. </s>
            <s xml:id="echoid-s4503" xml:space="preserve">in quotiente prouenient 66913. </s>
            <s xml:id="echoid-s4504" xml:space="preserve">arcus illius eſt 42. </s>
            <s xml:id="echoid-s4505" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s4506" xml:space="preserve">quibus
              <lb/>
            ſubtractis à 90. </s>
            <s xml:id="echoid-s4507" xml:space="preserve">remanẽt 48. </s>
            <s xml:id="echoid-s4508" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s4509" xml:space="preserve">uera illa eleuatio poli quæſita ad locũ intronizatiõis.</s>
            <s xml:id="echoid-s4510" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div137" type="section" level="1" n="73">
          <head xml:id="echoid-head77" xml:space="preserve">PRONVNCIATVM LXI.</head>
          <p>
            <s xml:id="echoid-s4511" xml:space="preserve">Cognito iam gradu medij cœli, ſimiliter & </s>
            <s xml:id="echoid-s4512" xml:space="preserve">gradu aſcendentis, altitudi-
              <lb/>
            nem poli in de cognoſcere.</s>
            <s xml:id="echoid-s4513" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4514" xml:space="preserve">Vbi gradũ medij cœli habueris, quærè deinceps angulũ eclypticæ & </s>
            <s xml:id="echoid-s4515" xml:space="preserve">meridiani ꝑ 26.
              <lb/>
            </s>
            <s xml:id="echoid-s4516" xml:space="preserve">27. </s>
            <s xml:id="echoid-s4517" xml:space="preserve">uel 28. </s>
            <s xml:id="echoid-s4518" xml:space="preserve">ꝓnunc. </s>
            <s xml:id="echoid-s4519" xml:space="preserve">ꝗ ſi minor fuerit ̈ 90. </s>
            <s xml:id="echoid-s4520" xml:space="preserve">erit ad hãc oꝑationem ſatis idoneus: </s>
            <s xml:id="echoid-s4521" xml:space="preserve">ſin autem
              <lb/>
            maior extiterit, ſubtrahe eum de ſemicirculo, & </s>
            <s xml:id="echoid-s4522" xml:space="preserve">reliquũ erit ad cõmodũ. </s>
            <s xml:id="echoid-s4523" xml:space="preserve">Deinde ꝓpone
              <lb/>
            arcũ à medio cœliuſ ad gradũ aſcendentis, is ſi minor ſit ̈ 90. </s>
            <s xml:id="echoid-s4524" xml:space="preserve">etiã iuſtus erit: </s>
            <s xml:id="echoid-s4525" xml:space="preserve">ſin ma-
              <lb/>
            ior, ſubtractus à ſemicirculo, relinquet nume℞ aptum ad hãc oꝑationẽ, ſinum eo℞ alte℞
              <lb/>
            duc in alte℞, ꝓductũ diuide in ſinũ totũ, arcum q̊tientis ſubtrahe à 90. </s>
            <s xml:id="echoid-s4526" xml:space="preserve">& </s>
            <s xml:id="echoid-s4527" xml:space="preserve">remanebit am
              <lb/>
              <note position="left" xlink:label="note-0064-01" xlink:href="note-0064-01a" xml:space="preserve">
                <emph style="it">Lateralis in</emph>
                <lb/>
                <emph style="it">troitus ſimi</emph>
                <lb/>
                <emph style="it">le apprehẽ</emph>
                <lb/>
                <emph style="it">dit.</emph>
              </note>
            plitudo aſcẽdẽtis. </s>
            <s xml:id="echoid-s4528" xml:space="preserve">Hinc ꝓcede ita, ut ſuꝑiori ꝓnunciato edoctus es, unum attẽde, ꝙ ſi gra
              <lb/>
            dus aſcendentis ſit in aliq̊ ſigno℞ ſeptentrionalium, tunc etiã amplitudo erit ſeptentrio-
              <lb/>
            nalis, & </s>
            <s xml:id="echoid-s4529" xml:space="preserve">ſimili modo res ſe habet de meridionali. </s>
            <s xml:id="echoid-s4530" xml:space="preserve">Sciendum inſuꝑ eſt inutilem & </s>
            <s xml:id="echoid-s4531" xml:space="preserve">uanam
              <lb/>
            eſſe hanc operationẽ, quũ in medio cœli fuerit principiũ ♋ uel ♑, puncta quo proxi
              <lb/>
            me coniuncta, ſiue præcedant ſiue ſequantur, quo ergo longius diſtat principium ♋
              <lb/>
            uel ♑ à medio cœli, eo certior etexpeditior hæc erit operatio, ſed hic non neceſſarium fu
              <lb/>
            erit exemplo rem demonſtrare, quando cum ſuperiori pronunciato multum cohæret.</s>
            <s xml:id="echoid-s4532" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div139" type="section" level="1" n="74">
          <head xml:id="echoid-head78" xml:space="preserve">PRONVNCIATVM LXII.</head>
          <p>
            <s xml:id="echoid-s4533" xml:space="preserve">In quacun regione, perſpecta eleuatione poli, tempus quo punctum zo
              <lb/>
            diaci ab arcu per polos mundi & </s>
            <s xml:id="echoid-s4534" xml:space="preserve">arcum æquinoctialis ducto uſ ad circulũ
              <lb/>
            uerticalem moueatur, dijudicare.</s>
            <s xml:id="echoid-s4535" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4536" xml:space="preserve">Hic iam ꝑ circulum, qui ꝑ polos mundi & </s>
            <s xml:id="echoid-s4537" xml:space="preserve">arcum æquatoris trãſit, intelliges circulum
              <lb/>
            maiorem, ꝗ circulus dicitur horæ 6. </s>
            <s xml:id="echoid-s4538" xml:space="preserve">ante meridiẽ, ꝗa quũ ☉(sun) ad eum ꝑtingit, tunc hora 6
              <lb/>
            eſt poſt mediÀ© noctis, & </s>
            <s xml:id="echoid-s4539" xml:space="preserve">6. </s>
            <s xml:id="echoid-s4540" xml:space="preserve">horæ adhuc diſtãt à meridie, ſiquidẽ tunc exacte tempus medi
              <lb/>
            um eſt int
              <unsure/>
            meridiẽ & </s>
            <s xml:id="echoid-s4541" xml:space="preserve">mediũ noctis, quãdo Sol illum attingit. </s>
            <s xml:id="echoid-s4542" xml:space="preserve">Principio igitur huius oꝑa
              <lb/>
            tionis, quære ꝗ 5. </s>
            <s xml:id="echoid-s4543" xml:space="preserve">declinationẽ ꝓpoſiti puncti eclypticæ & </s>
            <s xml:id="echoid-s4544" xml:space="preserve">altitudinẽ puncti dati in cir-
              <lb/>
            culo uerticali ꝗ 20. </s>
            <s xml:id="echoid-s4545" xml:space="preserve">ꝓnunc. </s>
            <s xml:id="echoid-s4546" xml:space="preserve">ſinũ cõplementi altitudinis huius in circulo uerticali ſepo-
              <lb/>
              <note position="left" xlink:label="note-0064-02" xlink:href="note-0064-02a" xml:space="preserve">
                <emph style="it">Arealis in</emph>
                <lb/>
                <emph style="it">greſſus iun</emph>
                <lb/>
                <emph style="it">gitur.</emph>
              </note>
            ne in locum aliquẽ ſeorſim, ſimilit
              <unsure/>
            & </s>
            <s xml:id="echoid-s4547" xml:space="preserve">ſinũ cõplementi declinatiõis dati pũcti eclypticæ,
              <lb/>
            minorẽ duc in ſinum totum, ꝓductũ in maiorem diuide, & </s>
            <s xml:id="echoid-s4548" xml:space="preserve">arcus q̊tientis ex 90. </s>
            <s xml:id="echoid-s4549" xml:space="preserve">ſubtra-
              <lb/>
            ctus relinquet gradus æquatoris, ꝗbus in horas horarũ´ minuta cõuerſus, habebis op
              <lb/>
            tatum. </s>
            <s xml:id="echoid-s4550" xml:space="preserve">?</s>
            <s xml:id="echoid-s4551" xml:space="preserve">? Vide exemplũ. </s>
            <s xml:id="echoid-s4552" xml:space="preserve">Cupio ſcire in loco & </s>
            <s xml:id="echoid-s4553" xml:space="preserve">die intronizatiõis tempus illud cõme
              <lb/>
              <note position="left" xlink:label="note-0064-03" xlink:href="note-0064-03a" xml:space="preserve">EXEM-
                <lb/>
              PLVM
                <lb/>
                <emph style="it">Epiſoo
                  <unsure/>
                pi.</emph>
              </note>
            moratũ, declinatio ita Solis eſt 20. </s>
            <s xml:id="echoid-s4554" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s4555" xml:space="preserve">42. </s>
            <s xml:id="echoid-s4556" xml:space="preserve">mi cõplementũ eius 69. </s>
            <s xml:id="echoid-s4557" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s4558" xml:space="preserve">18. </s>
            <s xml:id="echoid-s4559" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s4560" xml:space="preserve">ſinus ip
              <lb/>
            ſius 93544. </s>
            <s xml:id="echoid-s4561" xml:space="preserve">is (ꝗa maior) erit altitudo ☉(sun) in circulo uerticali eſt 28. </s>
            <s xml:id="echoid-s4562" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s4563" xml:space="preserve">24. </s>
            <s xml:id="echoid-s4564" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s4565" xml:space="preserve">ſinũ cõple
              <lb/>
            mẽti 87964. </s>
            <s xml:id="echoid-s4566" xml:space="preserve">duco in totũ, ꝓductũ in diuiſorẽ diuido, & </s>
            <s xml:id="echoid-s4567" xml:space="preserve">ꝓueniũtin q̊tiente 94034. </s>
            <s xml:id="echoid-s4568" xml:space="preserve">arcus
              <lb/>
            eius eſt 70. </s>
            <s xml:id="echoid-s4569" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s4570" xml:space="preserve">7. </s>
            <s xml:id="echoid-s4571" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s4572" xml:space="preserve">q̊ ſu bducto à 90. </s>
            <s xml:id="echoid-s4573" xml:space="preserve">remanẽt 19. </s>
            <s xml:id="echoid-s4574" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s4575" xml:space="preserve">53. </s>
            <s xml:id="echoid-s4576" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s4577" xml:space="preserve">æquatoris, ho℞ ſi ſemꝑ 15
              <lb/>
            ꝓ hora unica ſupputẽ, habebo horã 1. </s>
            <s xml:id="echoid-s4578" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s4579" xml:space="preserve">19. </s>
            <s xml:id="echoid-s4580" xml:space="preserve">ſecunda 32. </s>
            <s xml:id="echoid-s4581" xml:space="preserve">tẽpus. </s>
            <s xml:id="echoid-s4582" xml:space="preserve">ſ. </s>
            <s xml:id="echoid-s4583" xml:space="preserve">illud quo Sol percurrit
              <lb/>
            ab hora 6. </s>
            <s xml:id="echoid-s4584" xml:space="preserve">uſ ad circulum uerticalem in parte orientis, quod tamen & </s>
            <s xml:id="echoid-s4585" xml:space="preserve">de parte occidua
              <lb/>
            intelligendum eſt, niſi quòd tũc Sol citius circulum uerticalem attingit quàm horam 6.
              <lb/>
            </s>
            <s xml:id="echoid-s4586" xml:space="preserve">poſt meridiem, at hæc operatio nihil loci habet in ſignis meridionalibus.</s>
            <s xml:id="echoid-s4587" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div141" type="section" level="1" n="75">
          <head xml:id="echoid-head79" xml:space="preserve">PRONVNCIATVM LXIII.</head>
          <p>
            <s xml:id="echoid-s4588" xml:space="preserve">Intellecta iã altitudine poli, adhucemetiri quanto tempore arcus aliquis
              <lb/>
            eclypticæ propoſitus à principio uſ in finem pertranſeat circulũ uerticalẽ.</s>
            <s xml:id="echoid-s4589" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s4590" xml:space="preserve">Cõſidera hic ante arcũzodiaci, an principiũ eius declinationẽ habeat maiorẽ ̈ finis
              <lb/>
            ſiue nõ, numerãdo illũ iuxta ue℞ ordinẽ ſigno℞. </s>
            <s xml:id="echoid-s4591" xml:space="preserve">Et quæſita quidẽ ꝑ 5. </s>
            <s xml:id="echoid-s4592" xml:space="preserve">declinationem u-
              <lb/>
            triuſ, adhuc inꝗre ꝑ præcedens ꝓnunc. </s>
            <s xml:id="echoid-s4593" xml:space="preserve">tempus, in q̊ quodlibet punctum principij & </s>
            <s xml:id="echoid-s4594" xml:space="preserve">ſi
              <lb/>
            nis dati arcus, ꝓmoueatur ab hora 6. </s>
            <s xml:id="echoid-s4595" xml:space="preserve">uſ ad circulũ uerticalem. </s>
            <s xml:id="echoid-s4596" xml:space="preserve">Inueſtiga etiã utriuſ
              <lb/>
            illius puncti aſcenſionẽ rectã per 7 ꝓnunc. </s>
            <s xml:id="echoid-s4597" xml:space="preserve">& </s>
            <s xml:id="echoid-s4598" xml:space="preserve">ſubtrahe aſcenſionẽ minorẽ à maiori, reſi-
              <lb/>
            duũ obſerua ſeor@@m, ſubtrahe etiã tempus minimũ (tantũ duc gradus æquatoris ante cõ
              <lb/>
            uerſionem in horas) à maiori, q̊d utrun ex præcedenti ꝓnunc. </s>
            <s xml:id="echoid-s4599" xml:space="preserve">inueniſti ab hora 6. </s>
            <s xml:id="echoid-s4600" xml:space="preserve">uſ
              <lb/>
            ad cõtactum circuli uerticalis, ꝙ ſi declinatio ſinis huius arcus maior fuerit ̈ illa </s>
          </p>
        </div>
      </text>
    </echo>
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