Clavius, Christoph, In Sphaeram Ioannis de Sacro Bosco commentarius

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          <p>
            <s xml:id="echoid-s14120" xml:space="preserve">
              <pb o="329" file="365" n="366" rhead="Ioan. de Sacro Boſco."/>
            min 53. </s>
            <s xml:id="echoid-s14121" xml:space="preserve">Quod ſi arcus Z
              <unsure/>
            odiaci præciſe fuerit ſemicirculus, erit & </s>
            <s xml:id="echoid-s14122" xml:space="preserve">eius aſcenſio
              <lb/>
            ſemicirculus, nimirum grad. </s>
            <s xml:id="echoid-s14123" xml:space="preserve">180.</s>
            <s xml:id="echoid-s14124" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s14125" xml:space="preserve">
              <emph style="sc">Existente</emph>
            arcu maiore quidem, quàm ſit ſemicirculus, minore uero,
              <lb/>
              <note position="right" xlink:label="note-365-01" xlink:href="note-365-01a" xml:space="preserve">Quando at
                <lb/>
              cus Eclipti-
                <lb/>
              cæ maior
                <lb/>
              eſt ſemicir-
                <lb/>
              culo, ſed mi
                <lb/>
              nor quàm
                <lb/>
              grad. 270.</note>
            quàm grad. </s>
            <s xml:id="echoid-s14126" xml:space="preserve">270. </s>
            <s xml:id="echoid-s14127" xml:space="preserve">ſubtrahendus erit ex ipſo ſemicirculus, hoc eſt, grad. </s>
            <s xml:id="echoid-s14128" xml:space="preserve">180. </s>
            <s xml:id="echoid-s14129" xml:space="preserve">& </s>
            <s xml:id="echoid-s14130" xml:space="preserve">
              <lb/>
            reliqui arcus aſcenſio recta adijcienda rurſus ſemicirculo, ut habeatur aſcen-
              <lb/>
            ſio quæſita. </s>
            <s xml:id="echoid-s14131" xml:space="preserve">E
              <emph style="sc">XEMPLVM.</emph>
            Inquirenda ſit aſcenſio recta grad. </s>
            <s xml:id="echoid-s14132" xml:space="preserve">20. </s>
            <s xml:id="echoid-s14133" xml:space="preserve">♐, hoc eſt,
              <lb/>
            arcus gra. </s>
            <s xml:id="echoid-s14134" xml:space="preserve">260. </s>
            <s xml:id="echoid-s14135" xml:space="preserve">Detrahatur ſemicirculus, & </s>
            <s xml:id="echoid-s14136" xml:space="preserve">remanet arcus gra. </s>
            <s xml:id="echoid-s14137" xml:space="preserve">80. </s>
            <s xml:id="echoid-s14138" xml:space="preserve">cuius aſcen
              <lb/>
            ſio recta, nempe gra. </s>
            <s xml:id="echoid-s14139" xml:space="preserve">79. </s>
            <s xml:id="echoid-s14140" xml:space="preserve">min. </s>
            <s xml:id="echoid-s14141" xml:space="preserve">7. </s>
            <s xml:id="echoid-s14142" xml:space="preserve">addita ſemicirculo, dabit aſcenſionem optatam
              <lb/>
            grad. </s>
            <s xml:id="echoid-s14143" xml:space="preserve">259. </s>
            <s xml:id="echoid-s14144" xml:space="preserve">min. </s>
            <s xml:id="echoid-s14145" xml:space="preserve">7. </s>
            <s xml:id="echoid-s14146" xml:space="preserve">Quod ſi arcus Zodiaci præciſe tres Quadrantes conſtituat,
              <lb/>
            nimirum grad. </s>
            <s xml:id="echoid-s14147" xml:space="preserve">270. </s>
            <s xml:id="echoid-s14148" xml:space="preserve">totidem graduum erit aſcenſio illi debita.</s>
            <s xml:id="echoid-s14149" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s14150" xml:space="preserve">
              <emph style="sc">Qvando</emph>
            denique arcus tres Quadrantes ſuperauerit, minor tamen in-
              <lb/>
              <note position="right" xlink:label="note-365-02" xlink:href="note-365-02a" xml:space="preserve">Quando at
                <lb/>
              cus Eclipti
                <lb/>
              cę maior eſt
                <lb/>
              quàm grad.
                <lb/>
              270.</note>
            tegro circulo extiterit, auferendus erit ex toto circulo, ut a gra. </s>
            <s xml:id="echoid-s14151" xml:space="preserve">360. </s>
            <s xml:id="echoid-s14152" xml:space="preserve">& </s>
            <s xml:id="echoid-s14153" xml:space="preserve">reli-
              <lb/>
            qui arcus aſcenſio recta iterum ex circulo integro detrahenda: </s>
            <s xml:id="echoid-s14154" xml:space="preserve">Relinquetur
              <lb/>
            enim quæſita aſcenſio. </s>
            <s xml:id="echoid-s14155" xml:space="preserve">
              <emph style="sc">Exemplvm</emph>
            . </s>
            <s xml:id="echoid-s14156" xml:space="preserve">Exploranda ſit aſcenſio grad. </s>
            <s xml:id="echoid-s14157" xml:space="preserve">10. </s>
            <s xml:id="echoid-s14158" xml:space="preserve">♑, hoc
              <lb/>
            eſt, arcus grad. </s>
            <s xml:id="echoid-s14159" xml:space="preserve">280. </s>
            <s xml:id="echoid-s14160" xml:space="preserve">Detracto hoc arcu ex grad. </s>
            <s xml:id="echoid-s14161" xml:space="preserve">360. </s>
            <s xml:id="echoid-s14162" xml:space="preserve">remanetarcus grad. </s>
            <s xml:id="echoid-s14163" xml:space="preserve">80.
              <lb/>
            </s>
            <s xml:id="echoid-s14164" xml:space="preserve">cuius aſcenſio recta grad. </s>
            <s xml:id="echoid-s14165" xml:space="preserve">79. </s>
            <s xml:id="echoid-s14166" xml:space="preserve">min. </s>
            <s xml:id="echoid-s14167" xml:space="preserve">7. </s>
            <s xml:id="echoid-s14168" xml:space="preserve">ablata ex 360. </s>
            <s xml:id="echoid-s14169" xml:space="preserve">manifeſtabit quæſitam aſcen
              <lb/>
            ſionem rectam grad. </s>
            <s xml:id="echoid-s14170" xml:space="preserve">280. </s>
            <s xml:id="echoid-s14171" xml:space="preserve">min. </s>
            <s xml:id="echoid-s14172" xml:space="preserve">53. </s>
            <s xml:id="echoid-s14173" xml:space="preserve">Quod ſi arcus Zodiaci eſt integer circulus,
              <lb/>
            aſcendet utiq; </s>
            <s xml:id="echoid-s14174" xml:space="preserve">cum integro quoque circulo Aequatoris.</s>
            <s xml:id="echoid-s14175" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s14176" xml:space="preserve">Ex his manifeſtum eſt, quanam arte conſtruenda ſit tabula aſcenſionũ re-
              <lb/>
              <note position="right" xlink:label="note-365-03" xlink:href="note-365-03a" xml:space="preserve">Qua arte t@
                <lb/>
              buia aſcen-
                <lb/>
              ſionum re-
                <lb/>
              ctarum com
                <lb/>
              ſtruatur.</note>
            ctarum, quæ nimirum in ſphæra recta contingant. </s>
            <s xml:id="echoid-s14177" xml:space="preserve">Si enim ſupputemus aſcẽſio
              <lb/>
            nes omnium arcuum primi Quadrantis Eclipticæ initium ſumentiũ ab ♈, ha-
              <lb/>
            bebimus aſcenſiones rectas omnium punctorum primi Quadrantis Eclipticæ.
              <lb/>
            </s>
            <s xml:id="echoid-s14178" xml:space="preserve">Quòd ſi ſingulas ex ſemicirculo detrahamur, initio facto a maioribus, ſiue po
              <lb/>
            ſterioribus, reliquæ erunt aſcenſiones rectæ omnium punctorũ ſecundi Qua-
              <lb/>
            drantis Eclipticæ, initio facto a principio ♈, uſq; </s>
            <s xml:id="echoid-s14179" xml:space="preserve">ad principium ♎@ Rurſus ſi
              <lb/>
            eiuſdem primi Quadrantis aſcenſiones ſemicirculo apponamus, facto initio a
              <lb/>
            minoribus, ſiue prioribus, conficiemus aſcenſiones rectas omnium punctorum
              <lb/>
            tertij Quadrantis Eclipticæ, initio facto a principio ♈, vſq; </s>
            <s xml:id="echoid-s14180" xml:space="preserve">ad finem ♐. </s>
            <s xml:id="echoid-s14181" xml:space="preserve">Si de-
              <lb/>
            niq; </s>
            <s xml:id="echoid-s14182" xml:space="preserve">eaſdem aſcenſiones primi Quadrantis ex toto circulo auferamus, initio
              <lb/>
            rurſus facto a maioribus, ſiue poſterioribus, remanebunt aſcenſiones rectæ om
              <lb/>
            nium punctorum ultimi Quadrantis Eclipticæ, incipiendo abinitio ♈, vſque
              <lb/>
            ad finem ♓, ut conſtat. </s>
            <s xml:id="echoid-s14183" xml:space="preserve">Itaq; </s>
            <s xml:id="echoid-s14184" xml:space="preserve">totus labor conſiſtit in eo, ut inquirantur aſcen-
              <lb/>
            ſiones ſingulorum arcuum primi Quadrantis Eclipticæ. </s>
            <s xml:id="echoid-s14185" xml:space="preserve">Hac arte Ioannes Re
              <lb/>
            giom. </s>
            <s xml:id="echoid-s14186" xml:space="preserve">ſupputauit aſcenſiones rectas omnium arcuum Eclipticæ, per ſin-
              <lb/>
            gulos gradus procedendo, quam libuit hoc loco apponere, ut ob
              <lb/>
            oculos propoſitæ habeantur omnes aſcenſiones arcuum Zodia
              <lb/>
            ci, & </s>
            <s xml:id="echoid-s14187" xml:space="preserve">deſcenſiones ſphæræ rectæ, nec non meditationes
              <lb/>
            cœli in qualibet ſphæra. </s>
            <s xml:id="echoid-s14188" xml:space="preserve">Ad multa enim earum co-
              <lb/>
            gnitio utilis eſt, ut ex ijs, quæ in Gnomoni-
              <lb/>
            ca noſtra de ſignis aſcendentibus tra-
              <lb/>
            didimus, aliqua ex parte per-
              <lb/>
            ſpicuum eſſe poteſt.</s>
            <s xml:id="echoid-s14189" xml:space="preserve"/>
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