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