Clavius, Christoph, In Sphaeram Ioannis de Sacro Bosco commentarius

Table of Notes

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          <p>
            <s xml:id="echoid-s7363" xml:space="preserve">
              <pb o="184" file="220" n="221" rhead="Comment. in I. Cap. Sphæræ"/>
            clinationem Eclipti@æ, hoc eſt, inter grad. </s>
            <s xml:id="echoid-s7364" xml:space="preserve">23. </s>
            <s xml:id="echoid-s7365" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7366" xml:space="preserve">30. </s>
            <s xml:id="echoid-s7367" xml:space="preserve">& </s>
            <s xml:id="echoid-s7368" xml:space="preserve">complementum lati-
              <lb/>
            tudinis ſtellæ, hoc eſt, grad. </s>
            <s xml:id="echoid-s7369" xml:space="preserve">58. </s>
            <s xml:id="echoid-s7370" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7371" xml:space="preserve">30. </s>
            <s xml:id="echoid-s7372" xml:space="preserve">continet gr. </s>
            <s xml:id="echoid-s7373" xml:space="preserve">35. </s>
            <s xml:id="echoid-s7374" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7375" xml:space="preserve">0. </s>
            <s xml:id="echoid-s7376" xml:space="preserve">& </s>
            <s xml:id="echoid-s7377" xml:space="preserve">ſinus comple-
              <lb/>
            menti huius differentiæ eſt 81915. </s>
            <s xml:id="echoid-s7378" xml:space="preserve">Itaq; </s>
            <s xml:id="echoid-s7379" xml:space="preserve">ſi fiat, vt 10000000000. </s>
            <s xml:id="echoid-s7380" xml:space="preserve">quadratum ſi-
              <lb/>
            nus totius ad 3399816736. </s>
            <s xml:id="echoid-s7381" xml:space="preserve">rectangulum contentum ſub 39874. </s>
            <s xml:id="echoid-s7382" xml:space="preserve">ſinu recto ma-
              <lb/>
            ximę declinationis Eclipticę, & </s>
            <s xml:id="echoid-s7383" xml:space="preserve">85264. </s>
            <s xml:id="echoid-s7384" xml:space="preserve">ſinu complementi latitudinis ſtellæ ꝓ-
              <lb/>
            poſitæ, ita 131095. </s>
            <s xml:id="echoid-s7385" xml:space="preserve">ſinus verſus longitudinis ſtellæ a ♋, ſecundum ſucceſſionẽ
              <lb/>
            ſignorum ad aliud, (hoc eſt, ſi iuxta regulam proportionum, quam Trium vo-
              <lb/>
            cant, rectangulum dictum, quod habetur ex multiplicatione ſinus maximę de-
              <lb/>
            clinationis Eclipticæ per ſi num complemẽti latitudinis ſtellæ, multiplicemus
              <lb/>
            per ſinum uerſum longitudinis ſtellæ, nempe ſecundum numerum regulæ
              <lb/>
            Trium duca mus in tertium, productumq; </s>
            <s xml:id="echoid-s7386" xml:space="preserve">diuidamus per quadratum ſinus to-
              <lb/>
            tius, nimirum per primum numerum regulæ Trium, quod facillime ſiet, ſi ex
              <lb/>
            producto abijciantur decem priores figurę ad manum dextram) inuenietur
              <lb/>
            hic numerus 44569. </s>
            <s xml:id="echoid-s7387" xml:space="preserve">quem, quia minor eſt, quàm 81915. </s>
            <s xml:id="echoid-s7388" xml:space="preserve">ſinus complementi
              <lb/>
            differentiæ inter maximam declinationem Eclipticæ, & </s>
            <s xml:id="echoid-s7389" xml:space="preserve">complementum lati-
              <lb/>
            tudinis ſtellæ, auferemus ex 81915. </s>
            <s xml:id="echoid-s7390" xml:space="preserve">ſinu complementi dictæ differentiæ, relin-
              <lb/>
            queturq́ue ſinus declinationis borealis Arctcri 37346. </s>
            <s xml:id="echoid-s7391" xml:space="preserve">cui in tabula ſinuum
              <lb/>
            reſpondet arcus grad. </s>
            <s xml:id="echoid-s7392" xml:space="preserve">21. </s>
            <s xml:id="echoid-s7393" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7394" xml:space="preserve">56. </s>
            <s xml:id="echoid-s7395" xml:space="preserve">Tanta ergo cſt declinatio Arcturi ab Aequa-
              <lb/>
            tore in boream.</s>
            <s xml:id="echoid-s7396" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7397" xml:space="preserve">
              <emph style="sc">Sit</emph>
            rurſus inquirenda declinatio, quam habet Hircus ſtella lucidiſſima
              <lb/>
              <note position="left" xlink:label="note-220-01" xlink:href="note-220-01a" xml:space="preserve">Declinatio
                <lb/>
              Hirci.</note>
            in ſiniſtro humero Aurigæ, & </s>
            <s xml:id="echoid-s7398" xml:space="preserve">eſt tertia in conſtellatione 12. </s>
            <s xml:id="echoid-s7399" xml:space="preserve">Longitudo huius
              <lb/>
            ſtellæ in tabula habet grad. </s>
            <s xml:id="echoid-s7400" xml:space="preserve">48. </s>
            <s xml:id="echoid-s7401" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7402" xml:space="preserve">20. </s>
            <s xml:id="echoid-s7403" xml:space="preserve">cui ſi addantur grad. </s>
            <s xml:id="echoid-s7404" xml:space="preserve">27. </s>
            <s xml:id="echoid-s7405" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7406" xml:space="preserve">47. </s>
            <s xml:id="echoid-s7407" xml:space="preserve">confla-
              <lb/>
            bitur uera eius longitudo à principio ♈, grad. </s>
            <s xml:id="echoid-s7408" xml:space="preserve">76. </s>
            <s xml:id="echoid-s7409" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7410" xml:space="preserve">20. </s>
            <s xml:id="echoid-s7411" xml:space="preserve">quæ quoniam mi-
              <lb/>
            nor eſt, quàm grad. </s>
            <s xml:id="echoid-s7412" xml:space="preserve">90. </s>
            <s xml:id="echoid-s7413" xml:space="preserve">exiſtet data ſtella in ſemicirculo Eclipticæ aſcendente,
              <lb/>
            numerandaque erit eius longitudo à ♋, (quoniam eius latitudo borealis eſt)
              <lb/>
            contra ſignorum ſucceſſionem; </s>
            <s xml:id="echoid-s7414" xml:space="preserve">quæ longitudo, ſi eius longitudo vera detra-
              <lb/>
            hatur ex grad. </s>
            <s xml:id="echoid-s7415" xml:space="preserve">90. </s>
            <s xml:id="echoid-s7416" xml:space="preserve">comprehendet gra. </s>
            <s xml:id="echoid-s7417" xml:space="preserve">13. </s>
            <s xml:id="echoid-s7418" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7419" xml:space="preserve">40. </s>
            <s xml:id="echoid-s7420" xml:space="preserve">cuius ſinus verſus erit 2832.
              <lb/>
            </s>
            <s xml:id="echoid-s7421" xml:space="preserve">Latitudo autem eiuſdem ſtellę borealis eſt grad. </s>
            <s xml:id="echoid-s7422" xml:space="preserve">22. </s>
            <s xml:id="echoid-s7423" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7424" xml:space="preserve">30. </s>
            <s xml:id="echoid-s7425" xml:space="preserve">eiuſque comple-
              <lb/>
            mentum grad. </s>
            <s xml:id="echoid-s7426" xml:space="preserve">67. </s>
            <s xml:id="echoid-s7427" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7428" xml:space="preserve">30. </s>
            <s xml:id="echoid-s7429" xml:space="preserve">Differentia quoque inter grad. </s>
            <s xml:id="echoid-s7430" xml:space="preserve">23. </s>
            <s xml:id="echoid-s7431" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7432" xml:space="preserve">30. </s>
            <s xml:id="echoid-s7433" xml:space="preserve">maximæ
              <lb/>
            declinationis Eclipticæ, & </s>
            <s xml:id="echoid-s7434" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s7435" xml:space="preserve">67. </s>
            <s xml:id="echoid-s7436" xml:space="preserve">minut. </s>
            <s xml:id="echoid-s7437" xml:space="preserve">30. </s>
            <s xml:id="echoid-s7438" xml:space="preserve">complementi latitudinis ſtellæ,
              <lb/>
            complectitur grad. </s>
            <s xml:id="echoid-s7439" xml:space="preserve">44. </s>
            <s xml:id="echoid-s7440" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7441" xml:space="preserve">0. </s>
            <s xml:id="echoid-s7442" xml:space="preserve">Sinus uero complementi huius differentiæ eſt
              <lb/>
            71923. </s>
            <s xml:id="echoid-s7443" xml:space="preserve">Itaque ſi fiat, vt 10000000000. </s>
            <s xml:id="echoid-s7444" xml:space="preserve">quadratũ ſinus totius ad 3683839238. </s>
            <s xml:id="echoid-s7445" xml:space="preserve">
              <lb/>
            rectangulum comprehẽſum ſub 29874. </s>
            <s xml:id="echoid-s7446" xml:space="preserve">ſinu recto maximæ declinationis Ecli
              <lb/>
            pticæ, & </s>
            <s xml:id="echoid-s7447" xml:space="preserve">92387. </s>
            <s xml:id="echoid-s7448" xml:space="preserve">ſinu complemẽti latitudinis ſtellæ datæ, ita 2832. </s>
            <s xml:id="echoid-s7449" xml:space="preserve">ſinus uerſus
              <lb/>
            longitudinis ſtellæ à ♋, contra ſucceſſionem ſignorũ ad aliud, inuenietur hic
              <lb/>
            numerus 1043. </s>
            <s xml:id="echoid-s7450" xml:space="preserve">quem, quia minor eſt, quám 71933. </s>
            <s xml:id="echoid-s7451" xml:space="preserve">ſinus complementidifferen
              <lb/>
            tiæ inter maximam Eclipticæ declinationem, & </s>
            <s xml:id="echoid-s7452" xml:space="preserve">complementum latitudinis
              <lb/>
            ſtellæ, auferemus ex 71933. </s>
            <s xml:id="echoid-s7453" xml:space="preserve">ſinu complementi dictæ differentiæ, re
              <unsure/>
            manebitq; </s>
            <s xml:id="echoid-s7454" xml:space="preserve">
              <lb/>
            70896. </s>
            <s xml:id="echoid-s7455" xml:space="preserve">ſinus declinationis borealis Hirci, cui in tabula ſinuum reſpondent gr. </s>
            <s xml:id="echoid-s7456" xml:space="preserve">
              <lb/>
            45. </s>
            <s xml:id="echoid-s7457" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7458" xml:space="preserve">9. </s>
            <s xml:id="echoid-s7459" xml:space="preserve">pro declinatione Hirci ab Aequatore in boream.</s>
            <s xml:id="echoid-s7460" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7461" xml:space="preserve">
              <emph style="sc">Rvrsvs</emph>
            exploranda ſit declinatio illius ſtellæ, quæ in humero dextro
              <lb/>
              <note position="left" xlink:label="note-220-02" xlink:href="note-220-02a" xml:space="preserve">Declinatio
                <lb/>
              a. ſtellæ A
                <lb/>
              quarij, quæ
                <lb/>
              in dextro
                <lb/>
              humero col
                <lb/>
              locatur, eſt
                <lb/>
              que magni-
                <lb/>
              t
                <unsure/>
              udinis 3.</note>
            ♒, collocatur, eſtq; </s>
            <s xml:id="echoid-s7462" xml:space="preserve">ſecunda in conſte
              <unsure/>
            llatione ♒, & </s>
            <s xml:id="echoid-s7463" xml:space="preserve">magnitudinis 3. </s>
            <s xml:id="echoid-s7464" xml:space="preserve">Longi-
              <lb/>
            tudo huius ſtellæ in tabula habet grad. </s>
            <s xml:id="echoid-s7465" xml:space="preserve">299. </s>
            <s xml:id="echoid-s7466" xml:space="preserve">min. </s>
            <s xml:id="echoid-s7467" xml:space="preserve">40. </s>
            <s xml:id="echoid-s7468" xml:space="preserve">cui ſi addantur grad. </s>
            <s xml:id="echoid-s7469" xml:space="preserve">27.
              <lb/>
            </s>
            <s xml:id="echoid-s7470" xml:space="preserve">minu. </s>
            <s xml:id="echoid-s7471" xml:space="preserve">47. </s>
            <s xml:id="echoid-s7472" xml:space="preserve">conficietur vera eius longitudo à principio ♈, grad. </s>
            <s xml:id="echoid-s7473" xml:space="preserve">327. </s>
            <s xml:id="echoid-s7474" xml:space="preserve">minu. </s>
            <s xml:id="echoid-s7475" xml:space="preserve">27. </s>
            <s xml:id="echoid-s7476" xml:space="preserve">
              <lb/>
            quæ quoniam maior eſt, quàm grad. </s>
            <s xml:id="echoid-s7477" xml:space="preserve">270. </s>
            <s xml:id="echoid-s7478" xml:space="preserve">exiſtet dicta ſtella in Eclipticæ ſemi-
              <lb/>
            circulo aſcendente, numerandaque erit eius longitudo à ♋, (quoniam latitu-
              <lb/>
            dinem habet borealem) contra ſucceſſionem ſignorum: </s>
            <s xml:id="echoid-s7479" xml:space="preserve">quæ longitudo, ſi
              <lb/>
            eius longitudo uera ſubtrahatur ex grad. </s>
            <s xml:id="echoid-s7480" xml:space="preserve">360. </s>
            <s xml:id="echoid-s7481" xml:space="preserve">& </s>
            <s xml:id="echoid-s7482" xml:space="preserve">reliquo numero </s>
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