Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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traedra (de quibus tamen Ariſt. loquitur) vt patet ex ſupra dictis. </
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<
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">Indul
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geas Lector, ſi hoc loco neceſſe fuit in Geometriæ penetralia ingredi: ope
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ræpretium enim eſt aliquando ipſis Mathematicis ſatisfacere. </
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<
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">tu verò, ſi
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adeo es mathematicis imbutus, conſule poſtremas demonſtra. </
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<
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">13. Elem. &
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præcipuè ſcholium vltimum, vbi plura de his corporibus ſcitu digniſſima,
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huc ſpectantia reperies ex his omnibus Mathematica, quæ noſtræ ſunt
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partes, perſpicuè ſatis expoſuimus.</
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<
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">Multo poſt tempore, quàm hæc ſcripſeram incidi fortè in cap. 38. ſpecu
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lationem 10. Benedicti de placitis Ariſt.
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reperiq́
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; ab eo vno Ariſt. hoc loco
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erroris notari, dum aſſeruit duodecim pyramides replere
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locũ
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corporeum,
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ideſt, vt exponit ipſe, ſex pyramides ſuper hexagonam aliquam figuram
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ſuperficialem, & ſex ſub eadem, id præſtarent, cum potius maius vacuum
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remaneat ad quamlibet partium ſupra, & infra, quam plenum. </
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<
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<
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expoſitio iſta puerili, ne dum Ariſt. ingenio prorſus indigna eſt: vt propte
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rea exiſtimem caſu potius eum Ariſt. rectè reprehendiſſe, quam ex certa
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ſcientia, cum illius erratum maiori errato conetur corrigere. </
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<
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ſtremò in Indicem librorum, quem Maurolyius ſuæ Coſmographiæ præpo
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nit, vbi ſic ait: Demonſtramus autem in libello de figuris planis,
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;
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locum replentibus, cubos per ſe, pyramides verò cum octaedris compactas
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dumtaxat implere locum, qua in re Auerroem erraſſe pueriliter manifeſtum
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erit. </
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<
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">Vides igitur tanti viri auctoritate confirmari noſtram ſententiam, py
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ramides videlicet per ſe, non replere vacuum. </
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<
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">cum igitur conſtet vnam tan
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tum ex figuris ſolidis, ſiue etiam dicas, vt perperam Ariſt. & alij plures exi
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ſtimarunt, replere totum ſolidum; nulla ratione poterunt
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elemẽta
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quatuor,
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quatuor diuerſis figuris indui, ſed vnum tantummodo, quare reliqua
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figura remanere neceſſe eſſet: quod eſt omnino inconueniens.</
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122</
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<
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">Tex. 71
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(Deinde ſi terra eſt cubus &c.)
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lege definitiones 11. Elem. quæ ſunt
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admodum faciles, ibi reperies definitiones quinque corporum regularium,
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quorum figuras Plato elementis tribuebat: qua verò id ratione faceret, ha
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bes in ſphæra Clau. </
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<
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">Simpl. etiam hoc loco ſatisfacit.</
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Ex Quarto de Cœlo.
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123</
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<
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">Tex. 33.
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(Deinde ad ſimiles videtur angulos ignis quidem ſurſum ferri,
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terra autem deorſum, & omninò quod grauitatem habet, quare neceſſe
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est ferri ad medium. </
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<
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">hoc autem vtrum accidit ad ipſum terræ medium,
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an ad vniuerſi, quoniam idem ipſorum ſit, alius ſermo eſt)
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cum vellet
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probare Ariſtoteles dari
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quoddam in medio
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mundi, ad quod grauia deſcendant, & concurrent:
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& à quo leuia aſcendat; vtitur, præter alias, etiam
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ratione aliqua ex parte mathematica; quæ eſt huiuſ
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modi. </
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<
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">videmus ignem, & cætera lęuia aſcendere à
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terra ſurſum ad angulos æquales; ſimiliter videmus
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terram, & cętera grauia deſcendere ad terram deor
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ſum ad angulos æquales, quod ſignum eſt omnia iſta
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idem mundi medium reſpicere: v.g. ſit terra in figu
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ra præſenti circulus E C D, cuius medium, ſine </
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