Clavius, Christoph, In Sphaeram Ioannis de Sacro Bosco commentarius

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        <div xml:id="echoid-div358" type="section" level="1" n="114">
          <p>
            <s xml:id="echoid-s7482" xml:space="preserve">
              <pb o="185" file="221" n="222" rhead="Ioan. de Sacro Boſco."/>
            grad. </s>
            <s xml:id="echoid-s7483" xml:space="preserve">90. </s>
            <s xml:id="echoid-s7484" xml:space="preserve">complectetur grad. </s>
            <s xml:id="echoid-s7485" xml:space="preserve">122. </s>
            <s xml:id="echoid-s7486" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7487" xml:space="preserve">33. </s>
            <s xml:id="echoid-s7488" xml:space="preserve">cuius ſinus uerſus erit 153803. </s>
            <s xml:id="echoid-s7489" xml:space="preserve">La-
              <lb/>
            titudo autem eiuſdem ſtellæ borealis eſt grad. </s>
            <s xml:id="echoid-s7490" xml:space="preserve">11. </s>
            <s xml:id="echoid-s7491" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7492" xml:space="preserve">0. </s>
            <s xml:id="echoid-s7493" xml:space="preserve">eiuſq́; </s>
            <s xml:id="echoid-s7494" xml:space="preserve">complemen-
              <lb/>
            tum grad. </s>
            <s xml:id="echoid-s7495" xml:space="preserve">79. </s>
            <s xml:id="echoid-s7496" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7497" xml:space="preserve">0. </s>
            <s xml:id="echoid-s7498" xml:space="preserve">Differentia quoque inter grad. </s>
            <s xml:id="echoid-s7499" xml:space="preserve">23. </s>
            <s xml:id="echoid-s7500" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7501" xml:space="preserve">30. </s>
            <s xml:id="echoid-s7502" xml:space="preserve">maximæ decli
              <lb/>
            nationis Eclipticæ, & </s>
            <s xml:id="echoid-s7503" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s7504" xml:space="preserve">79. </s>
            <s xml:id="echoid-s7505" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7506" xml:space="preserve">0. </s>
            <s xml:id="echoid-s7507" xml:space="preserve">complementi latitudinis ſtellæ, com-
              <lb/>
            prehendit gr. </s>
            <s xml:id="echoid-s7508" xml:space="preserve">55. </s>
            <s xml:id="echoid-s7509" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7510" xml:space="preserve">30. </s>
            <s xml:id="echoid-s7511" xml:space="preserve">ſinus uero complementi huius differentiæ eſt 56640.</s>
            <s xml:id="echoid-s7512" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7513" xml:space="preserve">It aque ſi fiat, ut 10000000000. </s>
            <s xml:id="echoid-s7514" xml:space="preserve">quadratum ſinustotius ad 3914111588. </s>
            <s xml:id="echoid-s7515" xml:space="preserve">re-
              <lb/>
            ctangulum comprehenſum ſub 39874. </s>
            <s xml:id="echoid-s7516" xml:space="preserve">ſinu recto maximæ declinationis Ecli-
              <lb/>
            pticæ, & </s>
            <s xml:id="echoid-s7517" xml:space="preserve">98162. </s>
            <s xml:id="echoid-s7518" xml:space="preserve">ſinu complementi latitudinis ſtellæ, ita 153803. </s>
            <s xml:id="echoid-s7519" xml:space="preserve">ſinus uerſus
              <lb/>
            longitudinis ſtellæ à ♋, contra ſucceſsionem ſignorum ad aliud, inuenietur
              <lb/>
            hic numerus 60200. </s>
            <s xml:id="echoid-s7520" xml:space="preserve">à quo, quoniam maior eſt, quàm 56640. </s>
            <s xml:id="echoid-s7521" xml:space="preserve">ſinus complemen
              <lb/>
            ti di
              <unsure/>
            fferentiæ inter maximam Eclipticæ declinationem, & </s>
            <s xml:id="echoid-s7522" xml:space="preserve">complementum Ia-
              <lb/>
            titudinis ſtellæ, auferemus 56640. </s>
            <s xml:id="echoid-s7523" xml:space="preserve">ſinum complementi dictę differentię, re-
              <lb/>
            manebitq́ue 3560. </s>
            <s xml:id="echoid-s7524" xml:space="preserve">ſinus declinationis auſtralis dictæ ſtellæ, cui in tabula ſi-
              <lb/>
            nuum reſpondent grad. </s>
            <s xml:id="echoid-s7525" xml:space="preserve">2. </s>
            <s xml:id="echoid-s7526" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7527" xml:space="preserve">2. </s>
            <s xml:id="echoid-s7528" xml:space="preserve">pro declinatione datæ ſtellæ ab Aequatore
              <lb/>
            in auſtrum.</s>
            <s xml:id="echoid-s7529" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7530" xml:space="preserve">
              <emph style="sc">Postremo</emph>
            inueſtigandum ſit, quantam declinationem habeat 34.
              <lb/>
            </s>
            <s xml:id="echoid-s7531" xml:space="preserve">
              <note position="right" xlink:label="note-221-01" xlink:href="note-221-01a" xml:space="preserve">Declinatio
                <unsure/>
                <lb/>
              34. ſtellę Cẽ
                <lb/>
              tauri, quæ
                <lb/>
              ſub muſcu-
                <lb/>
              lo ẽ ſiniſtrĩ
                <unsure/>
                <lb/>
              pedis, eſtq.
                <lb/>
              magnitudi
                <lb/>
              nis 2.</note>
            ſtella in Centauro, quæ maxime auſtralis eſt, exiſtitq́; </s>
            <s xml:id="echoid-s7532" xml:space="preserve">ſub muſculo pedis ſini-
              <lb/>
            ſtri, & </s>
            <s xml:id="echoid-s7533" xml:space="preserve">eſt magnitudinis 2. </s>
            <s xml:id="echoid-s7534" xml:space="preserve">Longitudo huius ftellæ in tabula habet gr. </s>
            <s xml:id="echoid-s7535" xml:space="preserve">184. </s>
            <s xml:id="echoid-s7536" xml:space="preserve">min.
              <lb/>
            </s>
            <s xml:id="echoid-s7537" xml:space="preserve">30. </s>
            <s xml:id="echoid-s7538" xml:space="preserve">cui ſi addantur grad. </s>
            <s xml:id="echoid-s7539" xml:space="preserve">27. </s>
            <s xml:id="echoid-s7540" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7541" xml:space="preserve">47. </s>
            <s xml:id="echoid-s7542" xml:space="preserve">componetur uera eius longitudo à princi-
              <lb/>
            pio ♈, grad. </s>
            <s xml:id="echoid-s7543" xml:space="preserve">212. </s>
            <s xml:id="echoid-s7544" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7545" xml:space="preserve">17. </s>
            <s xml:id="echoid-s7546" xml:space="preserve">quæ quoniam maior eſt, quàm grad. </s>
            <s xml:id="echoid-s7547" xml:space="preserve">90. </s>
            <s xml:id="echoid-s7548" xml:space="preserve">minor autem
              <lb/>
            quà
              <unsure/>
            m grad. </s>
            <s xml:id="echoid-s7549" xml:space="preserve">270. </s>
            <s xml:id="echoid-s7550" xml:space="preserve">exiſtet dicta ſtella in ſemicirculo deſcendente Eclypticæ, nu
              <lb/>
            merandaq́; </s>
            <s xml:id="echoid-s7551" xml:space="preserve">erit eius longitudo à
              <unsure/>
            ♑, (quia latitudinem habet auſtralem) cõtra
              <lb/>
            ſucceſsionem ſignorum: </s>
            <s xml:id="echoid-s7552" xml:space="preserve">quæ longitudo, ſi eius longitudo uera ex gra. </s>
            <s xml:id="echoid-s7553" xml:space="preserve">270. </s>
            <s xml:id="echoid-s7554" xml:space="preserve">de-
              <lb/>
            matur, continebit gr. </s>
            <s xml:id="echoid-s7555" xml:space="preserve">57. </s>
            <s xml:id="echoid-s7556" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7557" xml:space="preserve">43. </s>
            <s xml:id="echoid-s7558" xml:space="preserve">cuius ſinus uerſus erit 46590. </s>
            <s xml:id="echoid-s7559" xml:space="preserve">Lati
              <unsure/>
            tudo por-
              <lb/>
            ro eiuſdem ſtellæ auſtralis eſt gra. </s>
            <s xml:id="echoid-s7560" xml:space="preserve">55. </s>
            <s xml:id="echoid-s7561" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7562" xml:space="preserve">40. </s>
            <s xml:id="echoid-s7563" xml:space="preserve">eiuſq́; </s>
            <s xml:id="echoid-s7564" xml:space="preserve">complementum grad. </s>
            <s xml:id="echoid-s7565" xml:space="preserve">34. </s>
            <s xml:id="echoid-s7566" xml:space="preserve">
              <lb/>
            minu. </s>
            <s xml:id="echoid-s7567" xml:space="preserve">20. </s>
            <s xml:id="echoid-s7568" xml:space="preserve">Ac proinde differentia inter grad. </s>
            <s xml:id="echoid-s7569" xml:space="preserve">23. </s>
            <s xml:id="echoid-s7570" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7571" xml:space="preserve">30. </s>
            <s xml:id="echoid-s7572" xml:space="preserve">maximæ declinationis
              <lb/>
            Eclipticæ, & </s>
            <s xml:id="echoid-s7573" xml:space="preserve">grad 34. </s>
            <s xml:id="echoid-s7574" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7575" xml:space="preserve">20. </s>
            <s xml:id="echoid-s7576" xml:space="preserve">complementi latitudinis ſtellæ, comprehendet
              <lb/>
            grad. </s>
            <s xml:id="echoid-s7577" xml:space="preserve">10. </s>
            <s xml:id="echoid-s7578" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7579" xml:space="preserve">50. </s>
            <s xml:id="echoid-s7580" xml:space="preserve">ſinus uero complementi huius differentię erit 98219. </s>
            <s xml:id="echoid-s7581" xml:space="preserve">Itaque
              <lb/>
            ſi fiat, ut 10000000000. </s>
            <s xml:id="echoid-s7582" xml:space="preserve">quadratum ſinus totius ad 2248893600. </s>
            <s xml:id="echoid-s7583" xml:space="preserve">rectangulum
              <lb/>
            contentum ſub 39874. </s>
            <s xml:id="echoid-s7584" xml:space="preserve">ſinu recto maximæ declinationis Eclipticæ, & </s>
            <s xml:id="echoid-s7585" xml:space="preserve">56400. </s>
            <s xml:id="echoid-s7586" xml:space="preserve">
              <lb/>
            ſinu complementi latitudinis ſtellę, ita 46590. </s>
            <s xml:id="echoid-s7587" xml:space="preserve">ſinus uerſus longitudinis ſtel-
              <lb/>
            læ à ♑, contra ſucceſſionem ſignorũ ad aliud, reperietur hic numerus 10459. </s>
            <s xml:id="echoid-s7588" xml:space="preserve">
              <lb/>
            quem quia, minor eſt, quàm 98217. </s>
            <s xml:id="echoid-s7589" xml:space="preserve">ſinus complementi differentię inter maxi-
              <lb/>
            mam Eclipticæ declinationem, & </s>
            <s xml:id="echoid-s7590" xml:space="preserve">complementum latitudinis ſtellę, detrahe-
              <lb/>
            mus ex 98217. </s>
            <s xml:id="echoid-s7591" xml:space="preserve">ſinu complementi dictę differentię relinqueturq; </s>
            <s xml:id="echoid-s7592" xml:space="preserve">87758. </s>
            <s xml:id="echoid-s7593" xml:space="preserve">ſinus
              <lb/>
            declinationis auſtralis propoſitę ſt
              <unsure/>
            ellę, cui in tabula ſinum reſpondent gra. </s>
            <s xml:id="echoid-s7594" xml:space="preserve">
              <lb/>
            61. </s>
            <s xml:id="echoid-s7595" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7596" xml:space="preserve">21. </s>
            <s xml:id="echoid-s7597" xml:space="preserve">pro declinatione dictę ſtellę ab Aequatore in auſtrum. </s>
            <s xml:id="echoid-s7598" xml:space="preserve">Ex his exem
              <lb/>
            plis ſatis arbitror præceptum à nobis traditum percipi, quo ſtellarum declina
              <lb/>
            tiones in ueſtigentur. </s>
            <s xml:id="echoid-s7599" xml:space="preserve">Alia pręcepta ad eaſdem declinationes perquirenda de-
              <lb/>
            monſtrau imus in ijs, quæ ad doctrinam primi mobilis pertinent.</s>
            <s xml:id="echoid-s7600" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div364" type="section" level="1" n="115">
          <head xml:id="echoid-head120" xml:space="preserve">DE QVANTITATE STELLARVM.</head>
          <p>
            <s xml:id="echoid-s7601" xml:space="preserve">
              <emph style="sc">Constitvto</emph>
            numero ſtellarum, quę in ſex differentias magnitudi-
              <lb/>
            num di@@ribuuntur, explicataq. </s>
            <s xml:id="echoid-s7602" xml:space="preserve">ratione, qua carum declinationes inueſtigen-
              <lb/>
            tur, proponenda iam eſt quantitas earundem ſtellarum in quacun que differen
              <lb/>
            tia magnitudinum. </s>
            <s xml:id="echoid-s7603" xml:space="preserve">Hoc autem commodi
              <unsure/>
            ſſime efficiemus, ſi tabulas quaſdam
              <lb/>
            ſnbijciamus hoc loco, in quibus & </s>
            <s xml:id="echoid-s7604" xml:space="preserve">proportiones diametiorum ſtellarum </s>
          </p>
        </div>
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    </echo>
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