Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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huc te ipſum conuertere, & videbis paulatim lumen oculo tuo decreſcere
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non aliter ac in Luna ſeneſcente. </
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hoc eſt ſphæricè illuminari, fierique
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ſphærica illuminationis augmenta. </
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<
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mine augeri, quo ſphæra, hinc ipſam
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ſphæricam eſſe argumentamur.</
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<
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">Poſt nonnulla (
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Vt Perſpectiua ad Geometriam, & Mechanica ad Stereome
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tricam, & Harmonica ad Arithmeticam, vt Apparentia ad Aſtrologicam
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) ſupra
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tex. 20. exempla ſubalternationum Perſpectiuæ, & Mechanicæ cum Geo
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metria ſunt allata. </
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<
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">hic primo notandum Stereometriam non eſſe ſcientiam
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diſtinctam à Geometria, niſi ſicuti partem à toto: nam cum Geometria
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conſideret quantitatem, ſecundum tres dimenſiones, longitudinem, latitu
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dinem, & profunditatem, oritur triplex illius diuiſio, de lineis, de ſuperfi
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ciebus, de ſolidis. </
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<
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">pars igitur, quæ de ſolidis tractat,
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partimq́
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; continetur
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11. 12. 13. 14. & 15. Euclidis, partim aliorum Geometrarum libris, vt li
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bro Archim. de Sphæra, & Cyl. & ſimilibus, dicitur Stereometria à græco
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<
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ideſt ſolidum. </
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<
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">Porrò cur malit Ariſt. Mechanicam ſubalternari Ste
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reometriæ, quam toti Geometriæ, qua tamen, vt videre eſt apud Archime
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dem, innititur, fortè ea ratio eſt, quia Mechanica præcipuè conſiderat ma
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chinas, quæ corpora ſunt, & propterea præcipuè, & primò debet Stereome
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triæ, quæ corpora pariter contemplatur, ſubalternari. </
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<
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tia ad Aſtrol. </
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<
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">intelligit per Apparentia vulgarem quandam Nautarum, &
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Agricolarum aſtronomiam, quæ quodammodo ſubalternatur, & pendet ex
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ſcientia Aſtrologiæ; indiget enim cognitione ortus, & motus aſtrorum,
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præſertim Lunæ, Hyadum, Pleiadum, & Canis. </
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<
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">Reliqua
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vſq;
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ad finem ca
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pitis optimè à Zabarella explicantur,
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neq;
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ad nos pertinet, cum de Mathe
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maticis agant, quatenus ad Logicum ſpectant.</
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">Poſt nonnulla (
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Hic enim ipſum quidem quod ſenſitiuorum eſt ſcire, ipſum ve
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rò Propter quid Mathematicorum; hi
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habent cauſarum demonſtrationes,
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&c.
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) ſenſus eſt in ſubalternatis, & dependentibus diſciplinis, quas ſenſitiuas
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appellat, quia de rebus ſenſibilibus ſunt, vt in Perſpectiua de obiectis viſibi
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libus, & in Muſica de ſonis cognoſcitur Quod, ideſt effectus: cuius effectus
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cauſa, ſeu Propter quid ſcitur auxilio Mathematicarum, ideſt, traditur à
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ſcientijs ſubalternantibus. </
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<
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id
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">v. g. alicuius effectus in Perſpectiua cauſa inqui
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ritur, & inuenitur ope Geometriæ, cui illa ſubiacet. </
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<
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">Hic obiter notandum,
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Ariſt. fateri manifeſtè Mathematicas ſubalternatas, ſeu medias oſtendere
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per cauſas, quas ſubalternantium ope perueſtigant.</
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<
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">Et poſtea (
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Se habet autem & ad Perſpectiuam, vt hæc ad Geometriam, alia ad
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hanc, vt quod eſt de Iride ipſum enim quod Naturalis eſt ſcire, ipſum verò Prop
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ter quid Perſpectiui
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) ſicut ſe habet, inquit,
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ſciẽtià
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Naturalis de Iride ad Per
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ſpectiuam, ita Perſpectiua ad Geometriam. </
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pertineat ad opticam,
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hine tandem ad Geometriam, optimè patebit
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in Meteoris, cum ipſius demonſtrationem afferemus.</
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<
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Vt æquicruri, & Scaleno hoc, quod eſt duobus rectis æquales habere
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ſecandum commune aliquod ineſt
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) quid ſit habere tres æquales duobus rectis
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ſatis explicatum eſt lib. r. </
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<
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ſolum huius loci dabo. </
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<
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">Triangulo Iſoſceli, & Scaleno convenit paſſio illa,
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habere tres angulos æquales duobus rectis angulis ſecundum aliquod </
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