Benedetti, Giovanni Battista de
,
Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]
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IO. BABPT. BENED.
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cli maioris, ſitum habens, voluantur; </
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<
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xml:space
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">quod quidem corpus, & aliquem quoque ha-
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beat motum circa ſuum axem, ſit opacum, ijs conditionibus, quæ terræ ſunt ſimi-
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les, præditum exiſtat, & in dicto epyciclo ſint res ſimiles iſtis lunaribus.</
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per uacuum.</
head
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<
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xml:space
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xml:space
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per vacuum non extenderetur
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type
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mẽ</
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, quod procederet à corpore lucido. </
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xml:space
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eſt; </
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dum</
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quantò rarius eſt aliquod corpus, tanto aptius eſt vt diaphanum exiſtat; </
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tò</
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rarius eſt dictum corpus, tantò minorem quantitatem materiæ contineat; </
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tò magis diaphanum eſt, cum ex perexigua materia conſtet, tantò magis liber tran-
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ſitus luminis patet; </
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<
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xml:space
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">Vnde quantò minor quantitas materiæ erit in dicto ſpatio, tan
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tò nitidius pertranſibit lumen. </
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<
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xml:space
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">Sequitur ergo, quòd vbi nulla eſſet materia, totum
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lumen libere tranſiret. </
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xml:space
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ris, color eſt a quæ & aeris, qui denotat reſiſtentiam factam ab aere & ab aqua ipſi lu
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mini; </
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abſque vllo impedimento rectà tranſiret.</
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<
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penus Ariſtoteles ſenſerit de loco im-
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pellendo à pyramide.</
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<
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">ARiſtoteles .8. cap. lib. 3. de cœlo, diſputans contra antiquos de elementorum
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figuris, ait pyramidem implere poſſe locum corporeum. </
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<
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eſt. </
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<
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">Cubus quidem id facit ab .8. enim cubis perfectè impletur locus, ſed non
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item .12. pyramides, ut Ariſtoteles ſenſit (ideſt ſex ſuper aliquam exagonam figu-
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ram ſuperficialem & ſexſub eadem) id præſtant, cum potius maius vacuum rema-
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neatad quamlibet partium ſupra, & infra, quam plenum. </
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<
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xml:space
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egiſſet, ſi probaſſet ratione immobilitatis conuenire pyramidem terræ, quam cu-
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bum. </
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<
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xml:space
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">quamuis, de horum corporum altero, ſit ſtultum hoc credere. </
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<
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">decepti tamen
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fuerunt antiqui, credentes cubum ad motum minus idoneum eſſe, quam reliqua
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quatuor corpora regularia (loquor autem habita volubilitatis ratione) quia pyra-
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midale eſt illud, quod ita ſe habet, vt multis rationibus probari poteſt, quarum vna
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hæc nobis ſufficiet. </
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<
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xml:space
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">Scimus iam ex communi conceptu corpus ſphęricum eſſe ma-
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gis volubile,
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, quàm alia ſint. </
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<
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xml:space
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">Illud ergo corpus, cuius figura ad ſphæri-
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cam magis accedet, ad uoluendum, & ad mouendum facilius erit quouis alio, quod
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æqualis ſit quantitatis, & ſibi omogeneum materia, vt exempli gratia corpus .20. ba
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ſium ad voluendum, & ad mouendum promptius erit eo, quod ex .12. conſtat, & id,
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quod eſt .12. eo, quod eſt .8. & id, quod eſt .8. eo, quod eſt .6. & id, quod eſt .6. vt
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cubus eſt, eo, quod eſt .4. cuiuſmodi eſt pyramidale. </
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dale corpus aliam conditionem habet, quàm cubicum, cum in quauis facie inalte- </
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