Clavius, Christoph, In Sphaeram Ioannis de Sacro Bosco commentarius

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          <pb o="323" file="359" n="360" rhead="Ioan. de Sacro Boſco."/>
        </div>
        <div xml:id="echoid-div721" type="section" level="1" n="251">
          <head xml:id="echoid-head262" style="it" xml:space="preserve">DE ORTV, ET OCC ASV SIGNO-
            <lb/>
          rum in ſphæra recta.</head>
          <p style="it">
            <s xml:id="echoid-s13776" xml:space="preserve">E T eſt ſciendum, quod in ſphæra recta Quartæ Zodiaci inchoatæ à
              <lb/>
              <note position="right" xlink:label="note-359-01" xlink:href="note-359-01a" xml:space="preserve">Ortus arcu@
                <lb/>
              Zodiaci in
                <lb/>
              ſphæra te-
                <lb/>
              cta.</note>
            quatuor punctis, duobus ſcilicet Solſtitialibus, & </s>
            <s xml:id="echoid-s13777" xml:space="preserve">duobus ęquinoctiali-
              <lb/>
            bus, adæquantur ſuis aſcenſionibus, ideſt quantum temporis conſumit Quin
              <lb/>
            ta Zodiaci in ſuo ortu, in tanto tempore Quarta Aequinoctialis illi conter-
              <lb/>
            minalis peroritur. </s>
            <s xml:id="echoid-s13778" xml:space="preserve">Sed tamen partes illarum Quartarum uariantur, neque
              <lb/>
            habent æquales aſcenſiones, ſicut iam patebit.</s>
            <s xml:id="echoid-s13779" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div723" type="section" level="1" n="252">
          <head xml:id="echoid-head263" xml:space="preserve">COMMENTARIVS.</head>
          <p>
            <s xml:id="echoid-s13780" xml:space="preserve">
              <emph style="sc">Tradit</emph>
            hic duas regulas ad ortum, & </s>
            <s xml:id="echoid-s13781" xml:space="preserve">occaſum ſignorum cognoſcen-
              <lb/>
            dum in ſphęra recta. </s>
            <s xml:id="echoid-s13782" xml:space="preserve">Prima eſt. </s>
            <s xml:id="echoid-s13783" xml:space="preserve">Quatuor Zodiaci Quadrantes, qui initium ſu-
              <lb/>
            munt a quatuor punctis cardinalibus, in ſphæra recta adæquantur ſuis aſcenſio
              <lb/>
            nibus, hoc eſt, cooriuntur præciſe cum Quadrantibus Aequatoris correſpon-
              <lb/>
            dentibus, ita ut quilibet eorum conſumat in ortu ſuo ſupra Horizontem 6. </s>
            <s xml:id="echoid-s13784" xml:space="preserve">ho
              <lb/>
            ras integras, quemadmodum & </s>
            <s xml:id="echoid-s13785" xml:space="preserve">quilibet Quadrans Aequatoris 6. </s>
            <s xml:id="echoid-s13786" xml:space="preserve">horis ſupra
              <lb/>
            Horizontem emergit: </s>
            <s xml:id="echoid-s13787" xml:space="preserve">Partes tamen dictorum Quadrantum non ſunt æquales
              <lb/>
            ſuis aſcenſionibus, hoc eſt, cum partibus eorum modo coaſcendunt arcus Ae-
              <lb/>
            quatoris maiores, modo minores, ita ut grad. </s>
            <s xml:id="echoid-s13788" xml:space="preserve">15. </s>
            <s xml:id="echoid-s13789" xml:space="preserve">v.</s>
            <s xml:id="echoid-s13790" xml:space="preserve">g. </s>
            <s xml:id="echoid-s13791" xml:space="preserve">aliquando plus temporis
              <lb/>
            requirant, ut exoriantur ſupra Horizontem, quam horam, aliquando uero mi-
              <lb/>
            nus. </s>
            <s xml:id="echoid-s13792" xml:space="preserve">Nam priores 15. </s>
            <s xml:id="echoid-s13793" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s13794" xml:space="preserve">Arietis aſcendunt cum grad. </s>
            <s xml:id="echoid-s13795" xml:space="preserve">13. </s>
            <s xml:id="echoid-s13796" xml:space="preserve">min. </s>
            <s xml:id="echoid-s13797" xml:space="preserve">48. </s>
            <s xml:id="echoid-s13798" xml:space="preserve">Aequatoris,
              <lb/>
            hoc eſt, requirunt minuta 55. </s>
            <s xml:id="echoid-s13799" xml:space="preserve">Secunda 12. </s>
            <s xml:id="echoid-s13800" xml:space="preserve">unius horæ, ut ſupra Horizontem
              <lb/>
            emergant: </s>
            <s xml:id="echoid-s13801" xml:space="preserve">At poſteriores 15. </s>
            <s xml:id="echoid-s13802" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s13803" xml:space="preserve">Geminorum aſcendunt cum grad. </s>
            <s xml:id="echoid-s13804" xml:space="preserve">16. </s>
            <s xml:id="echoid-s13805" xml:space="preserve">min-
              <lb/>
            17. </s>
            <s xml:id="echoid-s13806" xml:space="preserve">Aequatoris, hoc eſt, expoſcunt horam 1. </s>
            <s xml:id="echoid-s13807" xml:space="preserve">min. </s>
            <s xml:id="echoid-s13808" xml:space="preserve">5. </s>
            <s xml:id="echoid-s13809" xml:space="preserve">Sec. </s>
            <s xml:id="echoid-s13810" xml:space="preserve">8. </s>
            <s xml:id="echoid-s13811" xml:space="preserve">ut ſupra Horizontem
              <lb/>
            aſcendant. </s>
            <s xml:id="echoid-s13812" xml:space="preserve">Prior pars regulæ huius facile probari poteſt; </s>
            <s xml:id="echoid-s13813" xml:space="preserve">quia uterque Colu-
              <lb/>
            rus, cum per polos mundi tranſeat, coniungitur cum Horizonte recto bis in
              <lb/>
            die: </s>
            <s xml:id="echoid-s13814" xml:space="preserve">Vnde non poterunt Quadrantes prædicti Horizontem extremis ſuis pun-
              <lb/>
            ctis attingere, quin eundem alter Colurus per extremitates tranſiens eodem
              <lb/>
            temporis momento attingat, & </s>
            <s xml:id="echoid-s13815" xml:space="preserve">cum Horizonte coniungatur. </s>
            <s xml:id="echoid-s13816" xml:space="preserve">Quare poſtquam
              <lb/>
            Quadrans Zodiaci totus emerſerit ſupra Horizontem, neceſſe eſt, Quadran-
              <lb/>
            tem Aequatoris correſpondentem totum quoque aſcendiſſe ſupra Horizon-
              <lb/>
            tem. </s>
            <s xml:id="echoid-s13817" xml:space="preserve">Poſterior pars eiuſdem regulę oſtendi poteſt ex propoſ. </s>
            <s xml:id="echoid-s13818" xml:space="preserve">10. </s>
            <s xml:id="echoid-s13819" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s13820" xml:space="preserve">1. </s>
            <s xml:id="echoid-s13821" xml:space="preserve">Mene-
              <lb/>
            lai ſphæricorum triangulorum, uel ex propoſ. </s>
            <s xml:id="echoid-s13822" xml:space="preserve">11. </s>
            <s xml:id="echoid-s13823" xml:space="preserve">noſtrorum triangulorum
              <lb/>
            ſphæricorum; </s>
            <s xml:id="echoid-s13824" xml:space="preserve">quia quælibet pars Eclipticæ, præter dictos Quadrantes, con-
              <lb/>
            ſtituit cum Horizonte recto nunc angulum obtuſum, nunc acutum, ut conſtat
              <lb/>
            ex Theodoſio, cum non tranſeat Horizon per eius polos: </s>
            <s xml:id="echoid-s13825" xml:space="preserve">Quare cum per
              <lb/>
            prædictas propoſitiones maiori angulo in triangulo ſphęrico maius latus op-
              <lb/>
            ponatur, & </s>
            <s xml:id="echoid-s13826" xml:space="preserve">minori minus, perſpicuum eſt, partes Quadrantum principium ha-
              <lb/>
            bentium in punctis æquinoctialibus non adæquari ſuis aſcenſionibus. </s>
            <s xml:id="echoid-s13827" xml:space="preserve">Quod
              <lb/>
            autem neque partes aliorum Quadrantum, qui initium habent in punctis Sol
              <lb/>
            ſtitialibus, adæquentur ſuis aſcenſionibus, ita demonſtrari poteſt. </s>
            <s xml:id="echoid-s13828" xml:space="preserve">Quoniam,
              <lb/>
            ut eodem modo probabitur, partes Zodiaci incipientes a punctis æquinoctia-
              <lb/>
            libus, quæ maiores ſint Quadrante, inæquales ſunt ſuis aſcenſionibus, ſi aufe-
              <lb/>
            rantur æquales Quadrantes, unus quidem Zodiaci ab arcu Zodiaci, alter uero
              <lb/>
            Aequatoris ab arcu Aquatoris coaſcendente cum arcu Zodiaci, erunt </s>
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