Apian, Petrus, Instrvmentvm Sinvvm, sev primi mobilis
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          <p>
            <s xml:id="echoid-s899" xml:space="preserve">
              <pb file="0032" n="32" rhead="GENVINVS VSVS"/>
            42. </s>
            <s xml:id="echoid-s900" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s901" xml:space="preserve">æquatio nimirũ illa optata, ea addenda eſt (qñ medius motus acceſſus & </s>
            <s xml:id="echoid-s902" xml:space="preserve">receſſus
              <lb/>
            8. </s>
            <s xml:id="echoid-s903" xml:space="preserve">ſphæræ minor eſt in quadrãte ad motũ mediũ augiũ & </s>
            <s xml:id="echoid-s904" xml:space="preserve">ſtellarũ fixarũ, in hoc, ut ꝓue-
              <lb/>
              <note position="left" xlink:label="note-0032-01" xlink:href="note-0032-01a" xml:space="preserve">
                <emph style="it">Aux cõis E</emph>
                <lb/>
                <emph style="it">piſcopi Au</emph>
                <lb/>
                <emph style="it">guſteñ.</emph>
              </note>
            niat uerus motus nonæ & </s>
            <s xml:id="echoid-s905" xml:space="preserve">octauæ ſphæræ ſimul, hoc eſt, quantũ auges planetarũ, & </s>
            <s xml:id="echoid-s906" xml:space="preserve">ſtel-
              <lb/>
            læ fixæ iam inde â Chriſto nato ſint ꝓmotæ, puta o. </s>
            <s xml:id="echoid-s907" xml:space="preserve">Sig. </s>
            <s xml:id="echoid-s908" xml:space="preserve">19. </s>
            <s xml:id="echoid-s909" xml:space="preserve">gr. </s>
            <s xml:id="echoid-s910" xml:space="preserve">55. </s>
            <s xml:id="echoid-s911" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s912" xml:space="preserve">Et dicitur ea aux
              <lb/>
            communis Epiſcopi Auguſtenſis. </s>
            <s xml:id="echoid-s913" xml:space="preserve">A Chriſto autem uſ ad Alfonſum motus 9. </s>
            <s xml:id="echoid-s914" xml:space="preserve">ſphæræ
              <lb/>
            eſt o. </s>
            <s xml:id="echoid-s915" xml:space="preserve">Sig. </s>
            <s xml:id="echoid-s916" xml:space="preserve">9. </s>
            <s xml:id="echoid-s917" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s918" xml:space="preserve">11. </s>
            <s xml:id="echoid-s919" xml:space="preserve">mi 38, ſec. </s>
            <s xml:id="echoid-s920" xml:space="preserve">Motus 8. </s>
            <s xml:id="echoid-s921" xml:space="preserve">ſphæræ 1. </s>
            <s xml:id="echoid-s922" xml:space="preserve">Sig. </s>
            <s xml:id="echoid-s923" xml:space="preserve">4. </s>
            <s xml:id="echoid-s924" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s925" xml:space="preserve">21. </s>
            <s xml:id="echoid-s926" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s927" xml:space="preserve">30. </s>
            <s xml:id="echoid-s928" xml:space="preserve">ſec. </s>
            <s xml:id="echoid-s929" xml:space="preserve">Aequatio 8.
              <lb/>
            </s>
            <s xml:id="echoid-s930" xml:space="preserve">
              <note position="left" xlink:label="note-0032-02" xlink:href="note-0032-02a" xml:space="preserve">
                <emph style="it">Aux cõis</emph>
                <lb/>
                <emph style="it">Rcgis Al-</emph>
                <lb/>
                <emph style="it">fonſi.</emph>
              </note>
            ſphæræ 8. </s>
            <s xml:id="echoid-s931" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s932" xml:space="preserve">6. </s>
            <s xml:id="echoid-s933" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s934" xml:space="preserve">24. </s>
            <s xml:id="echoid-s935" xml:space="preserve">ſec. </s>
            <s xml:id="echoid-s936" xml:space="preserve">Aequationem hanc ſi addidero ad motũ 9. </s>
            <s xml:id="echoid-s937" xml:space="preserve">ſphæræ, prodibit
              <lb/>
            inde 9. </s>
            <s xml:id="echoid-s938" xml:space="preserve">Sig. </s>
            <s xml:id="echoid-s939" xml:space="preserve">17. </s>
            <s xml:id="echoid-s940" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s941" xml:space="preserve">18. </s>
            <s xml:id="echoid-s942" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s943" xml:space="preserve">2. </s>
            <s xml:id="echoid-s944" xml:space="preserve">ſec. </s>
            <s xml:id="echoid-s945" xml:space="preserve">aux cõmunis Alfonſi, eam ſi rurſus ſubtraxero ab auge
              <lb/>
            Auguſtenſis Epiſcopi, manebunt 2. </s>
            <s xml:id="echoid-s946" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s947" xml:space="preserve">37. </s>
            <s xml:id="echoid-s948" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s949" xml:space="preserve">& </s>
            <s xml:id="echoid-s950" xml:space="preserve">tantũ quidem auges omniũ planeta℞
              <lb/>
            & </s>
            <s xml:id="echoid-s951" xml:space="preserve">ſtellæ fixæ promotæ ſunt à tempore Alfonſi uſ in diem intronizationis Reueren-
              <lb/>
              <note position="left" xlink:label="note-0032-03" xlink:href="note-0032-03a" xml:space="preserve">
                <emph style="it">Per quot e</emph>
                <lb/>
                <emph style="it">clypticæ ꝑ-</emph>
                <lb/>
                <emph style="it">tes ſtellæ fi-</emph>
                <lb/>
                <emph style="it">xæ et plane</emph>
                <lb/>
                <emph style="it">tarũ auges</emph>
                <lb/>
                <emph style="it">ꝓmouerint</emph>
                <lb/>
                <emph style="it">à tꝑe Alfon</emph>
                <lb/>
                <emph style="it">ſi uſq; ad in</emph>
                <lb/>
                <emph style="it">tronizatio</emph>
                <lb/>
                <emph style="it">nis boram.</emph>
              </note>
            diſsimi Epiſcopi Auguſtenſis. </s>
            <s xml:id="echoid-s952" xml:space="preserve">lta  ubi gradus illos & </s>
            <s xml:id="echoid-s953" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s954" xml:space="preserve">& </s>
            <s xml:id="echoid-s955" xml:space="preserve">ſec. </s>
            <s xml:id="echoid-s956" xml:space="preserve">addidero ad auges Al-
              <lb/>
            fonſi, ſimul´ ad longitudines ſtellarũ Alfonſi, rectificatas eas habuero ad ipſum diem in
              <lb/>
            tronizationis. </s>
            <s xml:id="echoid-s957" xml:space="preserve">Latitudines autem non mutamus adhuc ſectãtes ueſtigia Hyparchi, Pto
              <lb/>
            lemæi Peluſiani, & </s>
            <s xml:id="echoid-s958" xml:space="preserve">Alfonſi Regis, Et ſi aũt hic eo modo ſtellas uerificare docemus, quaſi
              <lb/>
            circul 9 paruus in motu titubatiõis eſſet 9. </s>
            <s xml:id="echoid-s959" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s960" xml:space="preserve">tñ nedũ apud me cõſtat recte ſentire eos,
              <lb/>
            ne adeo cõſentire ipſis, ꝗ dicũt Ae ꝗ noctia ex hoc paruo circulo, iam noſtris tempori
              <lb/>
            bus ad 25. </s>
            <s xml:id="echoid-s961" xml:space="preserve">gradũ κ cõuerti, certa enim ego obſeruatione depræhendi, quòd umbra gno
              <lb/>
            monis in quacun  ſuperficie plana, ſiue recta, ſiue ia cente, ſiue inclinata in latus, illo tem
              <lb/>
            pore lineam rectam non deſcribit, qualis tamen eſſe debet cuiuslibet umbræ Sole per-
              <lb/>
            tranſeunte circulum maiorem hoc eſt æquinoctialem. </s>
            <s xml:id="echoid-s962" xml:space="preserve">ſed ego obſeruaui etiam tunc quã
              <lb/>
              <note position="left" xlink:label="note-0032-04" xlink:href="note-0032-04a" xml:space="preserve">
                <emph style="it">Aeꝗnoctij</emph>
                <lb/>
                <emph style="it">uarictatem</emph>
                <lb/>
                <emph style="it">in Aſtrono</emph>
                <lb/>
                <emph style="it">mico noſtro</emph>
                <lb/>
                <emph style="it">requires</emph>
                <lb/>
                <emph style="it">melius.</emph>
              </note>
            libet umbram deſcribere arcum. </s>
            <s xml:id="echoid-s963" xml:space="preserve">Id hoc loco commemorare uiſum eſt eo tantum, ut non-
              <lb/>
            nulli melius ſuper ſententia ſua deliberent, & </s>
            <s xml:id="echoid-s964" xml:space="preserve">æquinoctium, quod maxime pertinet ad
              <lb/>
            uerificationem Kalendarij Romani, rectius demonſtrent.</s>
            <s xml:id="echoid-s965" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div22" type="section" level="1" n="15">
          <head xml:id="echoid-head18" xml:space="preserve">PRONVNCIATVM III.</head>
          <head xml:id="echoid-head19" xml:space="preserve">Latitudinem Lunæ ab eclyptica per ſinus colligere.</head>
          <p>
            <s xml:id="echoid-s966" xml:space="preserve">Priuſquam hic latitudinem doceam inuenire, operæprecium eſt te uerum curſum Lu
              <lb/>
            næ & </s>
            <s xml:id="echoid-s967" xml:space="preserve">Capitis draconis Lunæ ex Ephemeridibus cognoſcere, uel aliàs ex tabulis in hoc
              <lb/>
            paratis. </s>
            <s xml:id="echoid-s968" xml:space="preserve">nam quotieſcũ deinceps de planetis aliquid dicetur, & </s>
            <s xml:id="echoid-s969" xml:space="preserve">de motu eorundem uer
              <lb/>
            ſus decimam ſphæram ſupputando, ſemper antea præſciendus erit uerus curſus ſecun-
              <lb/>
            dum longitudinem & </s>
            <s xml:id="echoid-s970" xml:space="preserve">latitudincm. </s>
            <s xml:id="echoid-s971" xml:space="preserve">ſemel ita  præmonitum hoc uolo, ne deinde hocſæ
              <lb/>
            pius te habeat ſollicitũ. </s>
            <s xml:id="echoid-s972" xml:space="preserve">Latitudinem Lunæ inuenturus, principio inquire quantum di-
              <lb/>
              <note position="left" xlink:label="note-0032-05" xlink:href="note-0032-05a" xml:space="preserve">
                <emph style="it">Illud inueni</emph>
                <lb/>
                <emph style="it">es ſi latera</emph>
                <lb/>
                <emph style="it">liter ingre-</emph>
                <lb/>
                <emph style="it">diaris.</emph>
              </note>
            ſtet ipſa Luna à Capite Draconis uel Cauda, cuicun tandem fuerit propior, ſiue an-
              <lb/>
            trorſum ſiue retrorſum, eius diſtantiæ ſinum rectũ quære, quem deinde cum ſinu 5. </s>
            <s xml:id="echoid-s973" xml:space="preserve">gra.
              <lb/>
            </s>
            <s xml:id="echoid-s974" xml:space="preserve">hoc eſt 8715. </s>
            <s xml:id="echoid-s975" xml:space="preserve">multiplicabis, ſiquidem maxima Lunæ latitudo ab eclyptica 5. </s>
            <s xml:id="echoid-s976" xml:space="preserve">graduum eſ
              <lb/>
            ſe cognoſcitur, productum inde diuide in ſinum totum, & </s>
            <s xml:id="echoid-s977" xml:space="preserve">arcus quotientis rectiſsime ti-
              <lb/>
            bi mõſtrabit ueram latitudinem Lunæ ab eclyptica. </s>
            <s xml:id="echoid-s978" xml:space="preserve">?</s>
            <s xml:id="echoid-s979" xml:space="preserve">? Sit autem hoc tibi exemplum,
              <lb/>
              <note position="left" xlink:label="note-0032-06" xlink:href="note-0032-06a" xml:space="preserve">EXEM-
                <lb/>
              PLVM
                <lb/>
                <emph style="it">Epiſoo
                  <unsure/>
                pi.</emph>
              </note>
            hora intronizationis Reuerendiſs. </s>
            <s xml:id="echoid-s980" xml:space="preserve">patris Epiſcopi Auguſtenſis erat Luna in 23. </s>
            <s xml:id="echoid-s981" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s982" xml:space="preserve">32
              <lb/>
            mi. </s>
            <s xml:id="echoid-s983" xml:space="preserve">♉. </s>
            <s xml:id="echoid-s984" xml:space="preserve">Caput autem Draconis Lunæ in 9. </s>
            <s xml:id="echoid-s985" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s986" xml:space="preserve">12. </s>
            <s xml:id="echoid-s987" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s988" xml:space="preserve">♋. </s>
            <s xml:id="echoid-s989" xml:space="preserve">lam uero Luna ſita eſt à capi-
              <lb/>
            te Draconis 45. </s>
            <s xml:id="echoid-s990" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s991" xml:space="preserve">40. </s>
            <s xml:id="echoid-s992" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s993" xml:space="preserve">Sinum illius 71528. </s>
            <s xml:id="echoid-s994" xml:space="preserve">ducin ſinum 5. </s>
            <s xml:id="echoid-s995" xml:space="preserve">graduũ, puta 8715. </s>
            <s xml:id="echoid-s996" xml:space="preserve">pro
              <lb/>
            ductum diuide in ſinum perfectum, & </s>
            <s xml:id="echoid-s997" xml:space="preserve">prouenient in quotiente 6234. </s>
            <s xml:id="echoid-s998" xml:space="preserve">arcus illius erit lati
              <lb/>
            tudo Lunæ quæſita, ea´ eſt 3. </s>
            <s xml:id="echoid-s999" xml:space="preserve">gra. </s>
            <s xml:id="echoid-s1000" xml:space="preserve">35. </s>
            <s xml:id="echoid-s1001" xml:space="preserve">mi. </s>
            <s xml:id="echoid-s1002" xml:space="preserve">meridionalis. </s>
            <s xml:id="echoid-s1003" xml:space="preserve">Nã quò ſe Luna inclinet, uel ad
              <lb/>
              <note position="left" xlink:label="note-0032-07" xlink:href="note-0032-07a" xml:space="preserve">
                <emph style="it">Latitudo</emph>
                <lb/>
                <emph style="it">☽ hora in</emph>
                <lb/>
                <emph style="it">tronizatio</emph>
                <lb/>
                <emph style="it">nis.</emph>
              </note>
            Auſtrum, uel in Boream inde cognoſces, quia ſi diſtantia Lunæ â capite draconis ſecun-
              <lb/>
            dum ordinem ſignorum, uel à Cauda contra ordinem ſignorum numeretur, conſtat Lu-
              <lb/>
            nam eſſe in latitudine ſeptentrionali. </s>
            <s xml:id="echoid-s1004" xml:space="preserve">ſin autem diſtantia talis Lunæ à Capite contra or-
              <lb/>
            dinem ſignorum, uel à Cauda ſecundum ſeriem illorum numerabitur, argumentum cer-
              <lb/>
            tum eſt Lunam eſſe in latitudine meridionali.</s>
            <s xml:id="echoid-s1005" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div24" type="section" level="1" n="16">
          <head xml:id="echoid-head20" xml:space="preserve">PRONVNCIATVM IIII.</head>
          <p>
            <s xml:id="echoid-s1006" xml:space="preserve">Exipſa Lunæ latitudine, diſtantiam illius à capite uel cauda Draconis Lu
              <lb/>
            næ (quam in tabulis argumentum latitudinis Lunæ uocamus) cognoſcere.</s>
            <s xml:id="echoid-s1007" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1008" xml:space="preserve">Pronunciatũ hoc planè inuerſum eſt à ſuꝑiori, ꝓinde habitu iã latitudine Lunæ, quũ
              <lb/>
            ex ea argumẽtũ latitudinis Lunæ inuenire cupis, hoc eſt diſtantiã eius à Capite uel Cau
              <lb/>
            da Draconis, age ſinũ ipſum latitudinis Lunæ ducito in totũ ſinũ rectũ, productũ </s>
          </p>
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