Clavius, Christoph, In Sphaeram Ioannis de Sacro Bosco commentarius

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        <div xml:id="echoid-div473" type="section" level="1" n="157">
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            <s xml:id="echoid-s9349" xml:space="preserve">
              <pb o="230" file="266" n="267" rhead="Comment. in II. Cap. Sphæræ"/>
            Sole, dum in hemiſphærio ſupero moratur, ſupra Horizontem emergit, Qua-
              <lb/>
            re ſi arcus præfatus per 15. </s>
            <s xml:id="echoid-s9350" xml:space="preserve">diuidatur, prodibunt mox horæ in illo die conten-
              <lb/>
            tæ, dummodo memor ſis, ſingulos gradus, qui fortaſſis ex diuiſione relinquun
              <lb/>
            tur, quaterna minuta horæ complecti. </s>
            <s xml:id="echoid-s9351" xml:space="preserve">
              <emph style="sc">Ex e m p l v m</emph>
            . </s>
            <s xml:id="echoid-s9352" xml:space="preserve">Sole exiſtente in
              <lb/>
            principio ♋, ſi ſphæra materialis ita ſtatuatur, ut inter polum Arcticũ, & </s>
            <s xml:id="echoid-s9353" xml:space="preserve">Ho-
              <lb/>
            rizoncem intercipiantur 42. </s>
            <s xml:id="echoid-s9354" xml:space="preserve">grad. </s>
            <s xml:id="echoid-s9355" xml:space="preserve">Meridiani, (quot nimirum gradibus Romæ
              <lb/>
              <note position="left" xlink:label="note-266-01" xlink:href="note-266-01a" xml:space="preserve">Altitudo
                <lb/>
              poli Romæ
                <lb/>
              quanta ſit.</note>
            polus arcticus ſopra Horizontem extollitur) & </s>
            <s xml:id="echoid-s9356" xml:space="preserve">primus gradus ♋, in Hori-
              <lb/>
            zonte tum ex parte orientis, tum ex parte occidentis, ponatur, notenturq́ue
              <lb/>
            duo puncta in Aequatore, deprehendetur arcus diurnus comptehendere grad.
              <lb/>
            </s>
            <s xml:id="echoid-s9357" xml:space="preserve">226. </s>
            <s xml:id="echoid-s9358" xml:space="preserve">min. </s>
            <s xml:id="echoid-s9359" xml:space="preserve">6. </s>
            <s xml:id="echoid-s9360" xml:space="preserve">fere, qui ad horas reductus, diuiſione facta per 15. </s>
            <s xml:id="echoid-s9361" xml:space="preserve">monſtrabit diẽ
              <lb/>
            artificialem Romæ die 22. </s>
            <s xml:id="echoid-s9362" xml:space="preserve">Iunij, quando uidelicet Sol in principio ♋, exiſtit,
              <lb/>
            conſtare horis 15. </s>
            <s xml:id="echoid-s9363" xml:space="preserve">& </s>
            <s xml:id="echoid-s9364" xml:space="preserve">min. </s>
            <s xml:id="echoid-s9365" xml:space="preserve">fere 4. </s>
            <s xml:id="echoid-s9366" xml:space="preserve">Ex cognita autem magnitudine diei artificia-
              <lb/>
            lis facile cognoſcetur quantitas noctis artificialis. </s>
            <s xml:id="echoid-s9367" xml:space="preserve">Si enim diem artificialem
              <lb/>
            ex 24. </s>
            <s xml:id="echoid-s9368" xml:space="preserve">horis, nempe ex tota die naturali abſtuleris, remanebit nox artificialis. </s>
            <s xml:id="echoid-s9369" xml:space="preserve">
              <lb/>
            Hac ratione, ſi 15. </s>
            <s xml:id="echoid-s9370" xml:space="preserve">hor. </s>
            <s xml:id="echoid-s9371" xml:space="preserve">& </s>
            <s xml:id="echoid-s9372" xml:space="preserve">4. </s>
            <s xml:id="echoid-s9373" xml:space="preserve">min. </s>
            <s xml:id="echoid-s9374" xml:space="preserve">auferantur ex 24. </s>
            <s xml:id="echoid-s9375" xml:space="preserve">hor. </s>
            <s xml:id="echoid-s9376" xml:space="preserve">comprehendet Romæ
              <lb/>
            nox die 12. </s>
            <s xml:id="echoid-s9377" xml:space="preserve">Iunij horas 8. </s>
            <s xml:id="echoid-s9378" xml:space="preserve">& </s>
            <s xml:id="echoid-s9379" xml:space="preserve">min. </s>
            <s xml:id="echoid-s9380" xml:space="preserve">56. </s>
            <s xml:id="echoid-s9381" xml:space="preserve">Poterit tamen quiuis, fi uu
              <unsure/>
            lt, eodem arti-
              <lb/>
            ficio quantitatem noctis elicere, quo diei magnitudinem inueſtigari diximus.</s>
            <s xml:id="echoid-s9382" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div475" type="section" level="1" n="158">
          <head xml:id="echoid-head164" xml:space="preserve">VIII.</head>
          <p>
            <s xml:id="echoid-s9383" xml:space="preserve">
              <emph style="sc">Mirvm</emph>
            in modum deſeruit Coſmographis, & </s>
            <s xml:id="echoid-s9384" xml:space="preserve">Geographis. </s>
            <s xml:id="echoid-s9385" xml:space="preserve">Nam ſine cir
              <lb/>
              <note position="left" xlink:label="note-266-02" xlink:href="note-266-02a" xml:space="preserve">Aequator
                <lb/>
              ntilis eſt
                <lb/>
              coſmogra-
                <lb/>
              @his.</note>
            culo Aequinoctiali nulla terræ deſcriptio abſoluta eſſe poteſt, nullaq́; </s>
            <s xml:id="echoid-s9386" xml:space="preserve">ciuitas
              <lb/>
            in globo terreſtri, aut in mappa mũdi proprio in loco reponetur. </s>
            <s xml:id="echoid-s9387" xml:space="preserve">Penes enim
              <lb/>
            Aequinoctialem circulum & </s>
            <s xml:id="echoid-s9388" xml:space="preserve">longitudo ciuitatum, & </s>
            <s xml:id="echoid-s9389" xml:space="preserve">latitudo deſumitur, ut
              <lb/>
            apertius do
              <unsure/>
            cebimus, cum de circulo Meridiano, qui ad id quoque negotium
              <lb/>
            requiritur, egerimus.</s>
            <s xml:id="echoid-s9390" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9391" xml:space="preserve">
              <emph style="sc">Habet</emph>
            quidem Aequinoctialis circulus præter ea, quæ dicta ſunt, plu-
              <lb/>
            rima alia officia, utilitatesq́ue apud Aſtronomos, quibus breuitatis memor ſu-
              <lb/>
            perſedendum nunc eſſe cenſeo. </s>
            <s xml:id="echoid-s9392" xml:space="preserve">Proprijs enim in locis, quando res exiget,
              <lb/>
            multo commodius explicari poterunt. </s>
            <s xml:id="echoid-s9393" xml:space="preserve">Satis nunc fit, potiſſima officia ipſius
              <lb/>
            demonſtraſſe-</s>
          </p>
          <p>
            <s xml:id="echoid-s9394" xml:space="preserve">
              <emph style="sc">Qvoniam</emph>
            vero in ſeptimo officio Aequatoris neceſſe fuit reducere
              <lb/>
            gradus, & </s>
            <s xml:id="echoid-s9395" xml:space="preserve">minuta Aequinoctialis circuli ad horas, ac minuta horarum, utile
              <lb/>
            eſſe iudicaui hoc loco proponere duas tabellas, per quarum priorem fa-
              <lb/>
            cillimo negocio reducuntur gradus, Minuta, Secunda, & </s>
            <s xml:id="echoid-s9396" xml:space="preserve">Tertia,
              <lb/>
            Aequinoctialis circuli ad horas, minuta, ſecunda, & </s>
            <s xml:id="echoid-s9397" xml:space="preserve">ad tertia
              <lb/>
            horarum: </s>
            <s xml:id="echoid-s9398" xml:space="preserve">per poſteriorem uero uiciſſim eadem facilitate
              <lb/>
            tranſmutantur horæ, minuta, ſecunda, ac tertia ho-
              <lb/>
            rarum in gradus, minuta, ſecunda, ac tertia
              <lb/>
            Aequinoctialis circuli. </s>
            <s xml:id="echoid-s9399" xml:space="preserve">Quamuis enim
              <lb/>
            vtrumque per diuifionem effici poſ-
              <lb/>
            ſit, tamen multo expeditius
              <lb/>
            idem dictæ tabellæ
              <lb/>
            conficiunt.</s>
            <s xml:id="echoid-s9400" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div477" type="section" level="1" n="159">
          <head xml:id="echoid-head165" style="it" xml:space="preserve">DVPLEX TABVLA, QVA PARTES AEQVA-
            <lb/>
          toris in tempus: & contra tempus in partes Aequa-
            <lb/>
          toris conuertuntur.</head>
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