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        <div xml:id="echoid-div65" type="section" level="1" n="37">
          <p>
            <s xml:id="echoid-s2217" xml:space="preserve">
              <pb file="0044" n="44" rhead="GENVINVS VSVS"/>
            cupio inquirere gradum eclypticæ, qui cum eo aſcẽdit in ſphæra recta, propono mihi 15
              <lb/>
            gra. </s>
            <s xml:id="echoid-s2218" xml:space="preserve">21. </s>
            <s xml:id="echoid-s2219" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s2220" xml:space="preserve">& </s>
            <s xml:id="echoid-s2221" xml:space="preserve">quæro cõ plementũ ipſius, ſcilicet 74. </s>
            <s xml:id="echoid-s2222" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s2223" xml:space="preserve">39. </s>
            <s xml:id="echoid-s2224" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s2225" xml:space="preserve">ſinum eius 96432. </s>
            <s xml:id="echoid-s2226" xml:space="preserve">duco
              <lb/>
            in ſinum maximæ declinationis Solis, ſcilicet 29874. </s>
            <s xml:id="echoid-s2227" xml:space="preserve">productum diuido in ſinum perfe-
              <lb/>
            ctum, & </s>
            <s xml:id="echoid-s2228" xml:space="preserve">proueniũt in quotiente 38451. </s>
            <s xml:id="echoid-s2229" xml:space="preserve">arcus eius eſt 22. </s>
            <s xml:id="echoid-s2230" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s2231" xml:space="preserve">37. </s>
            <s xml:id="echoid-s2232" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s2233" xml:space="preserve">Si iam adſumo com
              <lb/>
            plementũ ip ſius 67. </s>
            <s xml:id="echoid-s2234" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s2235" xml:space="preserve">23. </s>
            <s xml:id="echoid-s2236" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s2237" xml:space="preserve">& </s>
            <s xml:id="echoid-s2238" xml:space="preserve">propono itidem mihi ſinum ipſius 92309. </s>
            <s xml:id="echoid-s2239" xml:space="preserve">ſimiliter eti-
              <lb/>
              <note position="left" xlink:label="note-0044-01" xlink:href="note-0044-01a" xml:space="preserve">
                <emph style="it">Operatio</emph>
                <lb/>
                <emph style="it">lateralis.</emph>
              </note>
            am ſinũ 15. </s>
            <s xml:id="echoid-s2240" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s2241" xml:space="preserve">21. </s>
            <s xml:id="echoid-s2242" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s2243" xml:space="preserve">ſcilicet 26471. </s>
            <s xml:id="echoid-s2244" xml:space="preserve">utrũ eorũ tan̈ minorem duxero in ſinum totum,
              <lb/>
            & </s>
            <s xml:id="echoid-s2245" xml:space="preserve">per maiorem 92309. </s>
            <s xml:id="echoid-s2246" xml:space="preserve">diuiſero, proueniũt in quotiente 28676. </s>
            <s xml:id="echoid-s2247" xml:space="preserve">arcus eius eſt 16. </s>
            <s xml:id="echoid-s2248" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s2249" xml:space="preserve">40
              <lb/>
            mi. </s>
            <s xml:id="echoid-s2250" xml:space="preserve">qui arcus eſt eclypticæ, numeratus à proxima interſectione eclypticæ & </s>
            <s xml:id="echoid-s2251" xml:space="preserve">æquidialis,
              <lb/>
              <note position="left" xlink:label="note-0044-02" xlink:href="note-0044-02a" xml:space="preserve">
                <emph style="it">Operatio</emph>
                <lb/>
                <emph style="it">arcalis.</emph>
              </note>
            eſt´ ille gradus 16. </s>
            <s xml:id="echoid-s2252" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s2253" xml:space="preserve">40. </s>
            <s xml:id="echoid-s2254" xml:space="preserve">♈. </s>
            <s xml:id="echoid-s2255" xml:space="preserve">at ipſa intronizationis hora ſuit in medio cœli.</s>
            <s xml:id="echoid-s2256" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div67" type="section" level="1" n="38">
          <head xml:id="echoid-head42" xml:space="preserve">PRONVNCIATVM XXVI.</head>
          <p>
            <s xml:id="echoid-s2257" xml:space="preserve">Quatuor illos angulos, quos eclyptica cauſſat cum meridiano, ad unum-
              <lb/>
            quod punctum, quo eclyptica meridianum tangit, artificioſe cognoſcere.</s>
            <s xml:id="echoid-s2258" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2259" xml:space="preserve">Operæprecium hic principio fuerit præſcire te, quod hic ex 4 iſtis angulis unicũ tantũ
              <lb/>
            te inuenire docebimus, quo cognito reliqui tres per ſe patent ex ſubtractione, ne plu-
              <lb/>
            res uno hic te indagare neceſſe eſt. </s>
            <s xml:id="echoid-s2260" xml:space="preserve">Deinde ſcias per hãc operationẽ in prima quarta Zo
              <lb/>
            diaci à principio ♈, uſ ad finem II, inueniri angulum Borealem orientalem, in ſecun-
              <lb/>
            da à principio ♋ ad ſinẽ ♍ angulũ orientalẽ meridionalẽ, in tertia uero quarta à prinei-
              <lb/>
            pio ♎ ad finem ♐ angulũ meridionalẽ orientalẽ, & </s>
            <s xml:id="echoid-s2261" xml:space="preserve">in ultima quarta etiam includi an-
              <lb/>
            gulũ Borealẽ orientalẽ. </s>
            <s xml:id="echoid-s2262" xml:space="preserve">Operatio ita iſta ſic cõficietur, ꝓpone tibi illã zodiaci quar
              <lb/>
            tam, in qua punctũ eclypticæ inuenitur, & </s>
            <s xml:id="echoid-s2263" xml:space="preserve">quære gradũ æquinoctialis, qui cum illo in
              <lb/>
            ſphæra recta tangit horizontẽ iuxta ꝓnunciatũ 7. </s>
            <s xml:id="echoid-s2264" xml:space="preserve">deinde diſtantiã accipe puncti illius
              <lb/>
            à proxima interſectione æquinoctialis, & </s>
            <s xml:id="echoid-s2265" xml:space="preserve">propone tibi ſinum ſui cõplemẽti, eũ duc in ſi-
              <lb/>
            num maximæ de clinationis, ꝓductũ diuide in ſinũ totũ, & </s>
            <s xml:id="echoid-s2266" xml:space="preserve">quotientis arcus ex quadra cir
              <lb/>
              <note position="left" xlink:label="note-0044-03" xlink:href="note-0044-03a" xml:space="preserve">
                <emph style="it">Lateralis</emph>
                <lb/>
                <emph style="it">ingreſſus.</emph>
              </note>
            culi relinquet angulũ tibi quæſitũ. </s>
            <s xml:id="echoid-s2267" xml:space="preserve">Ex quo ſi cæteros etiam angulos ſcire cupis, tunc ſub
              <lb/>
            trahe angulũ inuẽtũ ex gradibus ſemicirculi, & </s>
            <s xml:id="echoid-s2268" xml:space="preserve">in reſiduo manebit angulus eius collatera
              <lb/>
            lis, qui iuxta illum eſt in medietate cœli oriẽtalis. </s>
            <s xml:id="echoid-s2269" xml:space="preserve">Hinc ſi quãtitatẽ anguli Borealis occi-
              <lb/>
            dentalis cupis habere, adſume tibi quantitatẽ anguli orientalis meridionalis. </s>
            <s xml:id="echoid-s2270" xml:space="preserve">qm̃ anguli
              <lb/>
              <note position="left" xlink:label="note-0044-04" xlink:href="note-0044-04a" xml:space="preserve">EXEM-
                <lb/>
              PLVM
                <lb/>
              E
                <emph style="it">piſoo
                  <unsure/>
                pi.</emph>
              </note>
            contra ſe poſiti ſemꝑ ſunt æquales. </s>
            <s xml:id="echoid-s2271" xml:space="preserve">?</s>
            <s xml:id="echoid-s2272" xml:space="preserve">? Exemplũ hoc tibi rẽ planius oſtẽder, ſi uelim ad
              <lb/>
            diẽ intronizatiõis ſcire quantitatẽ 4. </s>
            <s xml:id="echoid-s2273" xml:space="preserve">illo℞ angulo℞ meridiani & </s>
            <s xml:id="echoid-s2274" xml:space="preserve">eclypticæ planẽ in ipſo
              <lb/>
            meridie, qũ gradus 2. </s>
            <s xml:id="echoid-s2275" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s2276" xml:space="preserve">26. </s>
            <s xml:id="echoid-s2277" xml:space="preserve">II, ubi tunc ☉(sun) erat, tetigit meridianũ. </s>
            <s xml:id="echoid-s2278" xml:space="preserve">Primũ oĩm quæro ꝑ
              <lb/>
            ꝓnunc. </s>
            <s xml:id="echoid-s2279" xml:space="preserve">7. </s>
            <s xml:id="echoid-s2280" xml:space="preserve">aſcenſionẽ rectã gradus ☉(sun), quæ eſt 60. </s>
            <s xml:id="echoid-s2281" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s2282" xml:space="preserve">21. </s>
            <s xml:id="echoid-s2283" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s2284" xml:space="preserve">tantũ abeſt etiã à proxima
              <lb/>
            interſectiõe, cõplementũ illius eſt 29. </s>
            <s xml:id="echoid-s2285" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s2286" xml:space="preserve">39. </s>
            <s xml:id="echoid-s2287" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s2288" xml:space="preserve">lam ſi ſinũ eius 49470. </s>
            <s xml:id="echoid-s2289" xml:space="preserve">ducã in ſinũ ma
              <lb/>
            ximæ declinationis 39874. </s>
            <s xml:id="echoid-s2290" xml:space="preserve">productum diuidam in ſinum totum, tuncin quotiente proue
              <lb/>
            nient 19726. </s>
            <s xml:id="echoid-s2291" xml:space="preserve">arcus eius eſt 11. </s>
            <s xml:id="echoid-s2292" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s2293" xml:space="preserve">37. </s>
            <s xml:id="echoid-s2294" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s2295" xml:space="preserve">qui & </s>
            <s xml:id="echoid-s2296" xml:space="preserve">angulus eſt. </s>
            <s xml:id="echoid-s2297" xml:space="preserve">Gradus autem illos & </s>
            <s xml:id="echoid-s2298" xml:space="preserve">minu
              <lb/>
            ta ſi ſubtraxero à 90. </s>
            <s xml:id="echoid-s2299" xml:space="preserve">tunc remanebunt 78. </s>
            <s xml:id="echoid-s2300" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s2301" xml:space="preserve">37. </s>
            <s xml:id="echoid-s2302" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s2303" xml:space="preserve">angulus ſcilicet Borealis orienta-
              <lb/>
            lis quæſitus: </s>
            <s xml:id="echoid-s2304" xml:space="preserve">hunc tibi ſubtraho à 180. </s>
            <s xml:id="echoid-s2305" xml:space="preserve">ipſo nimirum ſemicirculo, rem anent 101. </s>
            <s xml:id="echoid-s2306" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s2307" xml:space="preserve">23.
              <lb/>
            </s>
            <s xml:id="echoid-s2308" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s2309" xml:space="preserve">quantitas illa anguli Auſtralis orientalis, & </s>
            <s xml:id="echoid-s2310" xml:space="preserve">tantus etiam erit angulus occidentalis
              <lb/>
            Borealis, ſimiliter illi primo, ſcilicet 78. </s>
            <s xml:id="echoid-s2311" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s2312" xml:space="preserve">37. </s>
            <s xml:id="echoid-s2313" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s2314" xml:space="preserve">æqualis eſt angulus occidentalis me
              <lb/>
            ridionalis. </s>
            <s xml:id="echoid-s2315" xml:space="preserve">Et hoc modo ſatis mea quidem ſententia uidentur anguli iſti excuſsi.</s>
            <s xml:id="echoid-s2316" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div69" type="section" level="1" n="39">
          <head xml:id="echoid-head43" xml:space="preserve">PRONVNCIATVM XXVII.</head>
          <p>
            <s xml:id="echoid-s2317" xml:space="preserve">Eoſdẽ angulos quatuor, q̊s eclyptica facit cũ meridiano, facilius inquirere.</s>
            <s xml:id="echoid-s2318" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2319" xml:space="preserve">Qđ ſi angulos illos diuerſo modo cupis inuenire, grauat
              <emph style="sub">9</emph>
            forſitã nimiũ ꝓlixaiſta ſuꝑi
              <lb/>
            oriet oꝑoſa oꝑatiõe, ꝓpones pricipio tibi ſinũ diſtãtiæ arcus pũcti eclypticæ q̃ntũ diſtet
              <lb/>
              <note position="left" xlink:label="note-0044-05" xlink:href="note-0044-05a" xml:space="preserve">
                <emph style="it">Illud habc-</emph>
                <lb/>
                <emph style="it">tur in qua-</emph>
                <lb/>
                <emph style="it">drante are</emph>
                <lb/>
                <emph style="it">atim.</emph>
              </note>
            ille à ꝓxĩa interſectiõe eclypticæ & </s>
            <s xml:id="echoid-s2320" xml:space="preserve">meridiani, ſinũ illi9 rectũ tibi ꝓpone, ſimilit & </s>
            <s xml:id="echoid-s2321" xml:space="preserve">ſinũ re
              <lb/>
            ctũ ipſius aſcẽſiõis rectæ, quã ex 7. </s>
            <s xml:id="echoid-s2322" xml:space="preserve">ꝓnũciato inueniſti, & </s>
            <s xml:id="echoid-s2323" xml:space="preserve">deide ſinũ minorẽ duc in ſinũ to-
              <lb/>
            tũ ꝓductũ diuide in maiorẽ, et arcus q̊tiẽtis oſtẽdet angulũ q̃ſitũ, Borealẽ oriẽtalẽ in q̃r-
              <lb/>
            ta prima, in ſcd’a aũt quarta zodiaci mõſtrat angulũ orientalẽ meridionalẽ, in tertia an
              <lb/>
            gulũ orientalẽ meridionalẽ, quarta ſimilit’ ut prĩa oſtendit angulũ Borealẽ oriẽtalẽ. </s>
            <s xml:id="echoid-s2324" xml:space="preserve">Reli
              <lb/>
              <note position="left" xlink:label="note-0044-06" xlink:href="note-0044-06a" xml:space="preserve">EXEM-
                <lb/>
              PLVM
                <lb/>
              E
                <emph style="it">piſoo
                  <unsure/>
                pi.</emph>
              </note>
            q̊s tres angulos ita inuenies, ut præcedẽti ꝓnunciato edoctus es. </s>
            <s xml:id="echoid-s2325" xml:space="preserve">?</s>
            <s xml:id="echoid-s2326" xml:space="preserve">?Exemplũ hic tibi
              <lb/>
            dabimus huiuſmodi. </s>
            <s xml:id="echoid-s2327" xml:space="preserve">in ipſo die intronizationis gradus ☉(sun), ut antea diximus, fuit 2. </s>
            <s xml:id="echoid-s2328" xml:space="preserve">gra.</s>
            <s xml:id="echoid-s2329" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
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