Clavius, Christoph, In Sphaeram Ioannis de Sacro Bosco commentarius

Table of figures

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          <pb o="68" file="104" n="105" rhead="Comment. in I. Cap. Sphæræ"/>
          <p>
            <s xml:id="echoid-s3449" xml:space="preserve">
              <emph style="sc">Qvod</emph>
            igitur Luna inſimo in loco ſit poſita, hac ratione demonſtrari po-
              <lb/>
            teſt. </s>
            <s xml:id="echoid-s3450" xml:space="preserve">Corpus lucidum, quò altius & </s>
            <s xml:id="echoid-s3451" xml:space="preserve">remotius eſt a terra, cæteris paribus, eò um
              <lb/>
              <note position="left" xlink:label="note-104-01" xlink:href="note-104-01a" xml:space="preserve">Lunã poſi-
                <lb/>
              tam eſſe in
                <lb/>
              infimo lo-
                <lb/>
              co, proba-
                <lb/>
              @ut
                <unsure/>
              ex um-
                <lb/>
              bra.</note>
            bræ corporum minores apparent in plano Horizontis, & </s>
            <s xml:id="echoid-s3452" xml:space="preserve">quò propinquius eſt
              <lb/>
            terræ corpus Luminoſum, eo longiores umbras corpora proijciunt; </s>
            <s xml:id="echoid-s3453" xml:space="preserve">ut uidere
              <lb/>
            licet in hac figura: </s>
            <s xml:id="echoid-s3454" xml:space="preserve">In qua utrumque aſtrum eandem habet altitudinem ſupra
              <lb/>
            Horizontem A B, reſpectu centri mundi, id eſt, obtinet eundem locum uerum
              <lb/>
            reſpectu Horizontis, quamuis in uiſo loco diſcrepent, & </s>
            <s xml:id="echoid-s3455" xml:space="preserve">tamen inferius aſtrum
              <lb/>
            longius proijcit umbram gnomonis C D, puta in punctum E, quàm ſuperius, ꝗ
              <unsure/>
              <lb/>
            umbram eiuſdem gnomonis tantum proijcit in punctum F: </s>
            <s xml:id="echoid-s3456" xml:space="preserve">Atqui umbra gno
              <lb/>
            monis erecti, ſplendente Sole, minor eſt, quam umbra eiuſdem gnomonis, Lu-
              <lb/>
            na lucente, cæteris omnibus paribus exiſtentibus, id eſt, æqualibus cum Sole
              <lb/>
              <figure xlink:label="fig-104-01" xlink:href="fig-104-01a" number="13">
                <image file="104-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/104-01"/>
              </figure>
            gradibus, diuerſo tamen tempore, ab
              <lb/>
            Horizonte diſtante; </s>
            <s xml:id="echoid-s3457" xml:space="preserve">quod facile quiuis
              <lb/>
            experiri poterit, ſi ſignetur tempore æqui
              <lb/>
            noctij altitudo Solis meridiana, Sole ui-
              <lb/>
            delicet tenẽte principiũ Aries, aut Libra,
              <lb/>
            quæ altitudo Romę eſt fere grad. </s>
            <s xml:id="echoid-s3458" xml:space="preserve">48.
              <lb/>
            </s>
            <s xml:id="echoid-s3459" xml:space="preserve">noteturq́ue in aliquo plano gnomonis
              <lb/>
            umbra. </s>
            <s xml:id="echoid-s3460" xml:space="preserve">Poſtea idem fiat, Luna exiſtente
              <lb/>
            in eodem loco Zodiaci, in quo ante fuit
              <lb/>
            Sol, hoc eſt, ĩ prĩcipio Ariete, vel Libra, & </s>
            <s xml:id="echoid-s3461" xml:space="preserve">
              <lb/>
            tenẽte Meridianum circulum, carenteq́. </s>
            <s xml:id="echoid-s3462" xml:space="preserve">omni latitudine. </s>
            <s xml:id="echoid-s3463" xml:space="preserve">Deprehendetur nãq,
              <lb/>
            umbra gnomonis, ſplendente Luna, multo longior, quam lucente Sole, cum tñ
              <lb/>
            altitudo, ſeu diſtantia utriuſq. </s>
            <s xml:id="echoid-s3464" xml:space="preserve">planetæ ab Horizonte ſit eadem, nimirum grad. </s>
            <s xml:id="echoid-s3465" xml:space="preserve">
              <lb/>
            48. </s>
            <s xml:id="echoid-s3466" xml:space="preserve">reſpectu centri terræ. </s>
            <s xml:id="echoid-s3467" xml:space="preserve">Sequiturigitur, ſphęrã Solis longe eſſe ſuperiorem, ꝗ̃
              <lb/>
            Lunæ. </s>
            <s xml:id="echoid-s3468" xml:space="preserve">Idẽ ꝙ de Luna reſpectu Solis diximus, accõmodari poteſt reſpectu alio-
              <lb/>
            rũ planetarum; </s>
            <s xml:id="echoid-s3469" xml:space="preserve">ꝗ̃ uis. </s>
            <s xml:id="echoid-s3470" xml:space="preserve">n. </s>
            <s xml:id="echoid-s3471" xml:space="preserve">alij planetę non ita ſplendeant, ut vmbras proijciant, ſci
              <lb/>
            ri tñ poteſt, quantum eorum radij per gnomonis uerticem proijciantur. </s>
            <s xml:id="echoid-s3472" xml:space="preserve">Quam
              <lb/>
            ob rem citra omnẽ controuerſiã cõſtat, Lunã omnibus eſſe planetis inferiorẽ.</s>
            <s xml:id="echoid-s3473" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3474" xml:space="preserve">
              <emph style="sc">Qvam</emph>
            etiam conuenienter Sol ſupra Mercurium, & </s>
            <s xml:id="echoid-s3475" xml:space="preserve">Venerem, id eſt, in
              <lb/>
            medio planetarum ſtatuatur, hanc rationem Ioan. </s>
            <s xml:id="echoid-s3476" xml:space="preserve">de Regiom. </s>
            <s xml:id="echoid-s3477" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s3478" xml:space="preserve">9. </s>
            <s xml:id="echoid-s3479" xml:space="preserve">Epitomes
              <lb/>
              <note position="left" xlink:label="note-104-02" xlink:href="note-104-02a" xml:space="preserve">Solem con-
                <lb/>
              uenienter
                <lb/>
              ſtatuiī
                <unsure/>
              me-
                <lb/>
              dio Planeta.
                <lb/>
              rum.</note>
            propoſ. </s>
            <s xml:id="echoid-s3480" xml:space="preserve">1. </s>
            <s xml:id="echoid-s3481" xml:space="preserve">affert. </s>
            <s xml:id="echoid-s3482" xml:space="preserve">Ptolemæus Dict. </s>
            <s xml:id="echoid-s3483" xml:space="preserve">5. </s>
            <s xml:id="echoid-s3484" xml:space="preserve">cap. </s>
            <s xml:id="echoid-s3485" xml:space="preserve">15. </s>
            <s xml:id="echoid-s3486" xml:space="preserve">a quo non diſſentit Albategnius ca-
              <lb/>
            50. </s>
            <s xml:id="echoid-s3487" xml:space="preserve">ſui operis, certis rationibus oſtendit, diſtantiam Solis a centro terræ, quan-
              <lb/>
            do minima eſt, id eſt, quando in Augis oppoſito exiſtit Sol, continere 1070.
              <lb/>
            </s>
            <s xml:id="echoid-s3488" xml:space="preserve">terræ ſemidiametros; </s>
            <s xml:id="echoid-s3489" xml:space="preserve">diſtantiam uero Lunæ a centro terræ, quando ea maxi-
              <lb/>
            ma eſt, id eſt, quando Luna in Auge exiſtit, continere duntaxat 64. </s>
            <s xml:id="echoid-s3490" xml:space="preserve">ſemidiame-
              <lb/>
            tros terræ. </s>
            <s xml:id="echoid-s3491" xml:space="preserve">Vnde diſſerentia inter minimam Solis diſtãtiam, & </s>
            <s xml:id="echoid-s3492" xml:space="preserve">maximam Lunę
              <lb/>
            continebit terræ ſemidiametros 1006. </s>
            <s xml:id="echoid-s3493" xml:space="preserve">Tantum enim relinquitur, ſubtracta
              <lb/>
            maxima Lunæ diſtantia a minima Solis. </s>
            <s xml:id="echoid-s3494" xml:space="preserve">Cum igitur inter cœlum Lunæ, ac cœ-
              <lb/>
            lum Solis uacuum concedi non poſſit, cum a uacuo natura abhorreat, neque
              <lb/>
            rationi conſentaneum ſit, deferentes augium Solis & </s>
            <s xml:id="echoid-s3495" xml:space="preserve">Lunæ tanta eſſe mole
              <lb/>
            præditos, cum prorſus tanta moles eſſet inutilis & </s>
            <s xml:id="echoid-s3496" xml:space="preserve">ſuperuacanea, iure optimo
              <lb/>
            & </s>
            <s xml:id="echoid-s3497" xml:space="preserve">conueniẽtiſſime tantum ſpatium intermedium tribuetur orbibus Mercurij
              <lb/>
            ac Veneris: </s>
            <s xml:id="echoid-s3498" xml:space="preserve">Ac proinde Sol in medio Planetarum collocatus erit, nempe ſupra
              <lb/>
            Lunam, Mercurium, ac Venerem, atq. </s>
            <s xml:id="echoid-s3499" xml:space="preserve">infra Saturnum, Iouem, ac Martem.</s>
            <s xml:id="echoid-s3500" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3501" xml:space="preserve">
              <emph style="sc">Accedit</emph>
            etiam, quod motus Solis eſt regula, & </s>
            <s xml:id="echoid-s3502" xml:space="preserve">menſura motuum alio
              <lb/>
            rum planetarum, alia tamen atq. </s>
            <s xml:id="echoid-s3503" xml:space="preserve">alia ratione. </s>
            <s xml:id="echoid-s3504" xml:space="preserve">Mars etenim, Iuppiter, & </s>
            <s xml:id="echoid-s3505" xml:space="preserve">Satur-
              <lb/>
            nus ratione epicycli cum Sole in motu conueniunt: </s>
            <s xml:id="echoid-s3506" xml:space="preserve">Luna uero, Mercurius, &</s>
            <s xml:id="echoid-s3507" xml:space="preserve"/>
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