Clavius, Christoph, In Sphaeram Ioannis de Sacro Bosco commentarius

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          <p>
            <s xml:id="echoid-s6073" xml:space="preserve">
              <pb o="130" file="166" n="167" rhead="Comment. in I. Cap. Sphæræ"/>
            ra, aer aquam ſuperet in decupla pro portione, ignis deniq; </s>
            <s xml:id="echoid-s6074" xml:space="preserve">decies maior aere
              <lb/>
              <note position="left" xlink:label="note-166-01" xlink:href="note-166-01a" xml:space="preserve">Error quo-
                <lb/>
              rundam Pe
                <lb/>
              ripatetico-
                <lb/>
              rũ qui decu
                <lb/>
              plã propor-
                <lb/>
              tionẽ inter
                <lb/>
              elemẽra cõ
                <lb/>
              ſtituunt.</note>
            exiſtat. </s>
            <s xml:id="echoid-s6075" xml:space="preserve">Cum enim eandem habeant ſuperficiem conuexam terra, & </s>
            <s xml:id="echoid-s6076" xml:space="preserve">aqua, ſitq;
              <lb/>
            </s>
            <s xml:id="echoid-s6077" xml:space="preserve">uel maior pars terræ, uel certe non multò minor detecta, quàm aquis cõtecta,
              <lb/>
            ut diximus, dilucide perſpicitur falſitas illius ſententiæ. </s>
            <s xml:id="echoid-s6078" xml:space="preserve">Tantum enim abeſt,
              <lb/>
            ut hac ratione aqua decies terram ſuperet, ut potius contrario terra uincat a-
              <lb/>
            quam in magnitudine: </s>
            <s xml:id="echoid-s6079" xml:space="preserve">quandoquidem terræ profunditas ad centrum uſque
              <lb/>
            extenditur, complectiturq́ue milliaria 3500. </s>
            <s xml:id="echoid-s6080" xml:space="preserve">& </s>
            <s xml:id="echoid-s6081" xml:space="preserve">amplius, ut ad finem huius cap. </s>
            <s xml:id="echoid-s6082" xml:space="preserve">
              <lb/>
            dicemus: </s>
            <s xml:id="echoid-s6083" xml:space="preserve">maris autem profunditas uix ad duo, aut tria milliaria perueuiat, im-
              <lb/>
            mo, ut plurimum, ſemimilliarium non excedat, vt Nautæ noſtræ tempeſtatis
              <lb/>
            experti ſunt, qui in medio etiam Oceano bolide profunditatem maris inqui-
              <lb/>
            rentes ubique fundum reperiunt, & </s>
            <s xml:id="echoid-s6084" xml:space="preserve">non longe à ſuperficie maris. </s>
            <s xml:id="echoid-s6085" xml:space="preserve">Ex quibus
              <lb/>
            conſtat, multò minorem eſſe aquam terra.</s>
            <s xml:id="echoid-s6086" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6087" xml:space="preserve">
              <emph style="sc">Vervm</emph>
            & </s>
            <s xml:id="echoid-s6088" xml:space="preserve">Geometrice talis ſententia impugnari poteſt. </s>
            <s xml:id="echoid-s6089" xml:space="preserve">Si enim elemẽ-
              <lb/>
            ta ſeruarent continuam proportionem decuplam, totum compoſitum ex ele-
              <lb/>
            mentis contineret terram duntaxat millies, centies & </s>
            <s xml:id="echoid-s6090" xml:space="preserve">undecies, ut patet in hac
              <lb/>
            continua proportione decupla. </s>
            <s xml:id="echoid-s6091" xml:space="preserve">1. </s>
            <s xml:id="echoid-s6092" xml:space="preserve">10. </s>
            <s xml:id="echoid-s6093" xml:space="preserve">100. </s>
            <s xml:id="echoid-s6094" xml:space="preserve">1000. </s>
            <s xml:id="echoid-s6095" xml:space="preserve">Omnes enim hi numeri in
              <lb/>
            unam collecti ſummam efficiunt 1111. </s>
            <s xml:id="echoid-s6096" xml:space="preserve">At vero hoc eſt prorſus falſum, & </s>
            <s xml:id="echoid-s6097" xml:space="preserve">te-
              <lb/>
            mere dictum. </s>
            <s xml:id="echoid-s6098" xml:space="preserve">Nam ſecundum Aſtronomos ſemidiameter totius regionis ele-
              <lb/>
            mentaris, ideſt, diſtantia a centro mundiuſque ad concauum Lunæ, continet
              <lb/>
            ſemidiametrum terræ trigeſies, & </s>
            <s xml:id="echoid-s6099" xml:space="preserve">ter, immo ſecundum aliquos hæc diſtãtia ma
              <lb/>
            ior eſt: </s>
            <s xml:id="echoid-s6100" xml:space="preserve">Quare & </s>
            <s xml:id="echoid-s6101" xml:space="preserve">tota diameter ſphæræ elementorum toties etiam diametrum
              <lb/>
            totam terræ continebit, cum eadem ſit proportio diametrorum, quæ ſemidia-
              <lb/>
              <note position="left" xlink:label="note-166-02" xlink:href="note-166-02a" xml:space="preserve">@5. quinti.</note>
            metrorũ. </s>
            <s xml:id="echoid-s6102" xml:space="preserve">Qm̃ uero ſphæræ ſunt in triplicata diametrorum proportione, effici-
              <lb/>
              <note position="left" xlink:label="note-166-03" xlink:href="note-166-03a" xml:space="preserve">38. duod.</note>
            tur ut tota ſphæra elementorũ contineat ſphærã terreſtrẽ trigeſies quinquies
              <lb/>
            millies, nongenties, trigeſies & </s>
            <s xml:id="echoid-s6103" xml:space="preserve">ſepties, utin iſtis cernis numeris 1. </s>
            <s xml:id="echoid-s6104" xml:space="preserve">33. </s>
            <s xml:id="echoid-s6105" xml:space="preserve">1089.
              <lb/>
            </s>
            <s xml:id="echoid-s6106" xml:space="preserve">35937. </s>
            <s xml:id="echoid-s6107" xml:space="preserve">Adde, quòd ſecundum ipſorum opinionem diſtantia a centro mundi
              <lb/>
            uſque ad concauum Lunæ ſolum decies comprehenderet ſemidiametrum ter-
              <lb/>
            ræ, & </s>
            <s xml:id="echoid-s6108" xml:space="preserve">paulò plus, ut ſecundum legem triplicatæ proportionis ſphæra elemen-
              <lb/>
            torum ſphæram terræ comprehendat millies, centies, & </s>
            <s xml:id="echoid-s6109" xml:space="preserve">undecies, ut ipſi uo-
              <lb/>
            lunt. </s>
            <s xml:id="echoid-s6110" xml:space="preserve">Ex quo ſequeretur, oculum noſtrum nouem duntaxat ſemidiametris ter
              <lb/>
            ræ ab orbe Lunari diſtare, quod eſt contra omnium Aftrologorum experien-
              <lb/>
            tiam. </s>
            <s xml:id="echoid-s6111" xml:space="preserve">Quod ſi quis dicat, ut nonnulli ex ipſis uolunt, illam decuplam propor-
              <lb/>
            tionem debere intelligi de diametris ſeu ſemidiametris elementorum, & </s>
            <s xml:id="echoid-s6112" xml:space="preserve">non
              <lb/>
            de corporum quantitate ſeu mole, id multo abſurdius erit. </s>
            <s xml:id="echoid-s6113" xml:space="preserve">Primum, quia fal-
              <lb/>
            ſiſſimum eſt Lunæ diſtantiam à terra continere 1111. </s>
            <s xml:id="echoid-s6114" xml:space="preserve">ſemidiametros terræ, cũ
              <lb/>
            hoc pugnet cum omnibus Aſtronomis, & </s>
            <s xml:id="echoid-s6115" xml:space="preserve">uix Sol tanto interuallo a centro mũ
              <lb/>
            di remoueatur. </s>
            <s xml:id="echoid-s6116" xml:space="preserve">Deinde, quoniam ſphærę triplicatam proportionem diametro-
              <lb/>
              <note position="left" xlink:label="note-166-04" xlink:href="note-166-04a" xml:space="preserve">18. duod.</note>
            rum habent, ſequeretur; </s>
            <s xml:id="echoid-s6117" xml:space="preserve">aquam eſſe millies maiorem terra, & </s>
            <s xml:id="echoid-s6118" xml:space="preserve">totam ſphæram
              <lb/>
            elementorum ad terrã habere proportionem, quã hic numerus 1000000000.
              <lb/>
            </s>
            <s xml:id="echoid-s6119" xml:space="preserve">ad 1. </s>
            <s xml:id="echoid-s6120" xml:space="preserve">ut manifeſtum eſt in his numeris. </s>
            <s xml:id="echoid-s6121" xml:space="preserve">1. </s>
            <s xml:id="echoid-s6122" xml:space="preserve">1000. </s>
            <s xml:id="echoid-s6123" xml:space="preserve">1000000. </s>
            <s xml:id="echoid-s6124" xml:space="preserve">1000000000. </s>
            <s xml:id="echoid-s6125" xml:space="preserve">quod
              <lb/>
            quidem ridiculum eſt, neque ullus unquam Aſtronomorum id aſſeruit. </s>
            <s xml:id="echoid-s6126" xml:space="preserve">Quis
              <lb/>
            enim dicat, aquam millies maiorem eſſe terra, cum e contrario terra multo ma
              <lb/>
            ior ſit, quàm aqua, propter modicam eius profunditatem, ut paulo ante dixi-
              <lb/>
            mus experimento nauigantium noſtri temporis compertum eſſe? </s>
            <s xml:id="echoid-s6127" xml:space="preserve">Relinquitur
              <lb/>
            igitur, ſententiam illorum Peripateticorum abſurdam eſſe.</s>
            <s xml:id="echoid-s6128" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s6129" xml:space="preserve">
              <emph style="sc">Immo</emph>
            nõ ſolũ elemẽta hãc proportionẽ decuplam minime ſeruãt, ſed nec
              <lb/>
            ullã aliã continuã, ut recte probat Alex. </s>
            <s xml:id="echoid-s6130" xml:space="preserve">Picolom. </s>
            <s xml:id="echoid-s6131" xml:space="preserve">in opuſc. </s>
            <s xml:id="echoid-s6132" xml:space="preserve">de quantitabe ter-
              <lb/>
            tæ & </s>
            <s xml:id="echoid-s6133" xml:space="preserve">aquæ; </s>
            <s xml:id="echoid-s6134" xml:space="preserve">idemq́; </s>
            <s xml:id="echoid-s6135" xml:space="preserve">confirmat Fernelius Ambianas in ſua Coſmotheoria. </s>
            <s xml:id="echoid-s6136" xml:space="preserve">Neq;</s>
            <s xml:id="echoid-s6137" xml:space="preserve"/>
          </p>
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