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        <div xml:id="echoid-div190" type="section" level="1" n="98">
          <p>
            <s xml:id="echoid-s6568" xml:space="preserve">
              <pb file="0080" n="80" rhead="GENVINVS VSVS"/>
            quo ſecundum minus fuerit maxima declinatione Solis, tunc ſubtahe inuentum ſe-
              <lb/>
            cundum de maxima Solis declinatione, & </s>
            <s xml:id="echoid-s6569" xml:space="preserve">reſiduum dicetur argumentum declinationis
              <lb/>
              <note position="left" xlink:label="note-0080-01" xlink:href="note-0080-01a" xml:space="preserve">
                <emph style="it">Argumen-</emph>
                <lb/>
                <emph style="it">tum decli-</emph>
                <lb/>
                <emph style="it">nationis.</emph>
              </note>
            habebit´ nomen medietatis eclypticæ: </s>
            <s xml:id="echoid-s6570" xml:space="preserve">ſed ſi inuentum ſecundum maius ſit maxima So
              <lb/>
            lis declinatione, tũc ſubtrahe hanc, & </s>
            <s xml:id="echoid-s6571" xml:space="preserve">remanebit argumentum declinationis, ſimul´ ſer
              <lb/>
            uabit nomen latitudinis. </s>
            <s xml:id="echoid-s6572" xml:space="preserve">Inſuper duc ſinum argumenti in ſinum primi inuenti, & </s>
            <s xml:id="echoid-s6573" xml:space="preserve">produ
              <lb/>
              <note position="left" xlink:label="note-0080-02" xlink:href="note-0080-02a" xml:space="preserve">
                <emph style="it">Lateralis</emph>
                <lb/>
                <emph style="it">operatio iã</emph>
                <lb/>
                <emph style="it">dicta repe-</emph>
                <lb/>
                <emph style="it">riet.</emph>
              </note>
            ctum diuide in totum, arcus quotientis dabit declinationem ſtellæ quæſitam. </s>
            <s xml:id="echoid-s6574" xml:space="preserve">?</s>
            <s xml:id="echoid-s6575" xml:space="preserve">? Vte-
              <lb/>
            mur & </s>
            <s xml:id="echoid-s6576" xml:space="preserve">hic exemplo ſuperiori. </s>
            <s xml:id="echoid-s6577" xml:space="preserve">Stella ſcilicet quarta Agitatoris quæ ſita eſt ſuper ſpatulã
              <lb/>
            dextram, eius longitudo eſt 22. </s>
            <s xml:id="echoid-s6578" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6579" xml:space="preserve">35. </s>
            <s xml:id="echoid-s6580" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6581" xml:space="preserve">II. </s>
            <s xml:id="echoid-s6582" xml:space="preserve">latitudo eius 20. </s>
            <s xml:id="echoid-s6583" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6584" xml:space="preserve">ſeptentrionalis. </s>
            <s xml:id="echoid-s6585" xml:space="preserve">Com
              <lb/>
            plementum diſtantiæ ab Ariete eſt 7. </s>
            <s xml:id="echoid-s6586" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6587" xml:space="preserve">25. </s>
            <s xml:id="echoid-s6588" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6589" xml:space="preserve">ſinum eius 12908. </s>
            <s xml:id="echoid-s6590" xml:space="preserve">duco in ſinum com-
              <lb/>
              <note position="left" xlink:label="note-0080-03" xlink:href="note-0080-03a" xml:space="preserve">EXEM-
                <lb/>
              PLVM
                <lb/>
              E
                <emph style="it">piſcopi.</emph>
              </note>
            plementi latitudinis 70. </s>
            <s xml:id="echoid-s6591" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6592" xml:space="preserve">ſcilicet 93969. </s>
            <s xml:id="echoid-s6593" xml:space="preserve">at extota diuiſione remanſit quotiens
              <lb/>
            12129. </s>
            <s xml:id="echoid-s6594" xml:space="preserve">cuius arcus eſt 6. </s>
            <s xml:id="echoid-s6595" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6596" xml:space="preserve">58. </s>
            <s xml:id="echoid-s6597" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6598" xml:space="preserve">complementũ uero 83. </s>
            <s xml:id="echoid-s6599" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6600" xml:space="preserve">2. </s>
            <s xml:id="echoid-s6601" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6602" xml:space="preserve">& </s>
            <s xml:id="echoid-s6603" xml:space="preserve">appellabitur in-
              <lb/>
            uentum primum. </s>
            <s xml:id="echoid-s6604" xml:space="preserve">Ad hæc porrò duco ſinum latitudinis ſtellæ in ſinum totum, productũ
              <lb/>
            diuido in ſinum primi inuenti, ſcilicet 99261. </s>
            <s xml:id="echoid-s6605" xml:space="preserve">quotiens ipſe 34456, cum arcuſuo, ſcilicet
              <lb/>
            20. </s>
            <s xml:id="echoid-s6606" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6607" xml:space="preserve">10. </s>
            <s xml:id="echoid-s6608" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6609" xml:space="preserve">producit inuentum ſecundum. </s>
            <s xml:id="echoid-s6610" xml:space="preserve">Et quia ſtella eſt in medietate ſeptentriona
              <lb/>
            li, ipſa quo ſtellæ latitudo ſeptentrionalis, ex additione inuenti ſecundi ad maximam
              <lb/>
            Solis declinationem, prouenerunt inde 45. </s>
            <s xml:id="echoid-s6611" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6612" xml:space="preserve">40. </s>
            <s xml:id="echoid-s6613" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6614" xml:space="preserve">argumentum puta declinationis
              <lb/>
            quod & </s>
            <s xml:id="echoid-s6615" xml:space="preserve">uocatur argumentum ſeptentrionale. </s>
            <s xml:id="echoid-s6616" xml:space="preserve">Vlterius adhuc ſinum argumenti iam in-
              <lb/>
            uenti ſcilicet 69046. </s>
            <s xml:id="echoid-s6617" xml:space="preserve">duco in ſinum primi inuenti ſcilicet 99261. </s>
            <s xml:id="echoid-s6618" xml:space="preserve">& </s>
            <s xml:id="echoid-s6619" xml:space="preserve">diuido per totum, in-
              <lb/>
            ueni in quotiente 66536. </s>
            <s xml:id="echoid-s6620" xml:space="preserve">cuius arcus eſt 43. </s>
            <s xml:id="echoid-s6621" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6622" xml:space="preserve">15. </s>
            <s xml:id="echoid-s6623" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6624" xml:space="preserve">declinatio illa ſtellæ ſeptentriona
              <lb/>
            lis, quem hactenus quærebam.</s>
            <s xml:id="echoid-s6625" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div192" type="section" level="1" n="99">
          <head xml:id="echoid-head103" xml:space="preserve">PRONVNCIATVM LXXXVII.</head>
          <p>
            <s xml:id="echoid-s6626" xml:space="preserve">Aſcenſionem rectam ſtellæ inuenire
              <unsure/>
            , puta gradum æquatoris, qui cum
              <lb/>
            ſtella propoſita meridianum ſiue horizontem rectum attingit.</s>
            <s xml:id="echoid-s6627" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6628" xml:space="preserve">Inuenta iam ex ſuperiori pronunciato declinatione ſtellæ uel puncti alicuius, ſinum
              <lb/>
            complementi declinationis duc in ſinum totum, productum diuide in ſinum cõplemen-
              <lb/>
              <note position="left" xlink:label="note-0080-04" xlink:href="note-0080-04a" xml:space="preserve">
                <emph style="it">Iam dictum</emph>
                <lb/>
                <emph style="it">depræhen-</emph>
                <lb/>
                <emph style="it">ditur per a</emph>
                <lb/>
                <emph style="it">realem in</emph>
                <lb/>
                <emph style="it">greſſum.</emph>
              </note>
            ti ſtellæ, arcus quotientis dicetur radix aſcenſionis: </s>
            <s xml:id="echoid-s6629" xml:space="preserve">quòd ſi longitudo ſtellæ ſit in prima
              <lb/>
            quadra zodiaci, hoc eſt à principio Arietis ad ſinem Cancri, ſubtrahe tuncradicem il-
              <lb/>
            lam à 90. </s>
            <s xml:id="echoid-s6630" xml:space="preserve">& </s>
            <s xml:id="echoid-s6631" xml:space="preserve">remanebit aſcenſio recta ſtellæ, quæ ſi fuerit in ſecunda quadra à principio
              <lb/>
            Cancri ad finem Virginis, addes radicem hancad 90. </s>
            <s xml:id="echoid-s6632" xml:space="preserve">& </s>
            <s xml:id="echoid-s6633" xml:space="preserve">rurſus habebis aſcenſionem re-
              <lb/>
            ctam ſtellæ. </s>
            <s xml:id="echoid-s6634" xml:space="preserve">Sin autem ſtella in tertia quadra inuenta fuerit, ſubtraheradicem à 90. </s>
            <s xml:id="echoid-s6635" xml:space="preserve">& </s>
            <s xml:id="echoid-s6636" xml:space="preserve">
              <lb/>
            reſiduum adde ad 180. </s>
            <s xml:id="echoid-s6637" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6638" xml:space="preserve">proueniet´ ſic tibi etiam aſcenſio recta: </s>
            <s xml:id="echoid-s6639" xml:space="preserve">ſed ſi in ultima
              <lb/>
            quadra extiterit, ſcilicet à Capricorno uſ ad finem Piſcium, adde radicem inuentam
              <lb/>
            ad 270. </s>
            <s xml:id="echoid-s6640" xml:space="preserve">& </s>
            <s xml:id="echoid-s6641" xml:space="preserve">habebis aſcenſionem rectam. </s>
            <s xml:id="echoid-s6642" xml:space="preserve">?</s>
            <s xml:id="echoid-s6643" xml:space="preserve">? Iam nunc exemplum uide. </s>
            <s xml:id="echoid-s6644" xml:space="preserve">Cupio uidere a-
              <lb/>
              <note position="left" xlink:label="note-0080-05" xlink:href="note-0080-05a" xml:space="preserve">EXEM-
                <lb/>
              PLVM
                <lb/>
              E
                <emph style="it">piſcopi.</emph>
              </note>
            ſcenſionem rectam quartæ ſtellæ Agitatoris, cuius etiam declinationem inueni ex ſu-
              <lb/>
            periori pronunciato 43. </s>
            <s xml:id="echoid-s6645" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s6646" xml:space="preserve">15. </s>
            <s xml:id="echoid-s6647" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6648" xml:space="preserve">Complementum eius eſt 46. </s>
            <s xml:id="echoid-s6649" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s6650" xml:space="preserve">45. </s>
            <s xml:id="echoid-s6651" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6652" xml:space="preserve">ſinus il
              <lb/>
            lius erit diuiſor. </s>
            <s xml:id="echoid-s6653" xml:space="preserve">Inſuper aſſumo & </s>
            <s xml:id="echoid-s6654" xml:space="preserve">ſinum complemẽti primi inuenti ex proximo pronun
              <lb/>
            ciato ſcilicet 6. </s>
            <s xml:id="echoid-s6655" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6656" xml:space="preserve">58. </s>
            <s xml:id="echoid-s6657" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6658" xml:space="preserve">is eſt 12129. </s>
            <s xml:id="echoid-s6659" xml:space="preserve">& </s>
            <s xml:id="echoid-s6660" xml:space="preserve">hunc ipſum duco in totum, at diuido in diui-
              <lb/>
            ſorem, prouenient in quotiente 16652. </s>
            <s xml:id="echoid-s6661" xml:space="preserve">arcus eius eſt 9. </s>
            <s xml:id="echoid-s6662" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s6663" xml:space="preserve">35. </s>
            <s xml:id="echoid-s6664" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6665" xml:space="preserve">radix illa aſcenſionis
              <lb/>
            Et quia ſtella iſta eſt in prima quadra, ſubtraho eam à 90. </s>
            <s xml:id="echoid-s6666" xml:space="preserve">& </s>
            <s xml:id="echoid-s6667" xml:space="preserve">manent in reſiduo 80. </s>
            <s xml:id="echoid-s6668" xml:space="preserve">gra.
              <lb/>
            </s>
            <s xml:id="echoid-s6669" xml:space="preserve">25. </s>
            <s xml:id="echoid-s6670" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s6671" xml:space="preserve">aſcenſio recta ſtellæ propoſitæ, at is ipſe gradus cum ſtella meridianum ſeume
              <lb/>
            dium cœli attingit.</s>
            <s xml:id="echoid-s6672" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div194" type="section" level="1" n="100">
          <head xml:id="echoid-head104" xml:space="preserve">PRONVNCIATVM LXXXVIII.</head>
          <p>
            <s xml:id="echoid-s6673" xml:space="preserve">Altitudinem poli ſupra horizontem quacun hora noctis, quum ſtellæ
              <lb/>
            uidentur, per totum annum ſine omni inſtrumento artificioſe dignoſcere.</s>
            <s xml:id="echoid-s6674" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6675" xml:space="preserve">Quod hic docebimus, magni profecto faciundum eſt, ſiquidem nec memini à quo-
              <lb/>
            quam antea me illum audiuiſſe, proinde placet & </s>
            <s xml:id="echoid-s6676" xml:space="preserve">illum tibi breuiter indicare. </s>
            <s xml:id="echoid-s6677" xml:space="preserve">Vnum ſci
              <lb/>
            as, quòd hic de iſtis tantummodo ſtellis dicemus´(breuitatis gratia, quæ declinationem
              <lb/>
            habent ſeptentrionalem, ſiquidem de reliquis latius diſſeruimus in noſtris libris Vmbra
              <lb/>
            rum. </s>
            <s xml:id="echoid-s6678" xml:space="preserve">Si quando uideris nocte ſtellas duas ſimul horizontem attingere, quod ſingulis fer
              <lb/>
            mè quartis ho@aru@@ contingit, quantacun tandem magnitudine fuerint illæ modo
              <lb/>
            cognoſci queant, uerifica principio loca earum per 2. </s>
            <s xml:id="echoid-s6679" xml:space="preserve">pronunciati huius, deinde quære
              <lb/>
            per 85. </s>
            <s xml:id="echoid-s6680" xml:space="preserve">uel 86. </s>
            <s xml:id="echoid-s6681" xml:space="preserve">earum declinationes, & </s>
            <s xml:id="echoid-s6682" xml:space="preserve">per 87. </s>
            <s xml:id="echoid-s6683" xml:space="preserve">aſcenfionem earum rectam, arcum </s>
          </p>
        </div>
      </text>
    </echo>