Borro, Girolamo
,
De motu gravium et levium
,
1575
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da non est; ſed confutanda, quod Ariſtoteles tanta cum ef
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ficacia fecit libro tertio de cælo, &
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, vt nullus nunc nobis
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confutandi locus ſupereſſe videatur: ſed vt nihil intactum de
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relinquamus, vniuerſum hoc negocium paucis abſoluemus.
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<
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">Definitio, qua graue, & leue à Platone definitur,
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exploditur, & corpora nec ex figuris, vt Plato,
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nec ex numeris vt Pythagoras augmentari
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poſſe demonſtratur. </
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<
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">Cap. XIX.</
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">PRIMO
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reprehendendus eſt Plato, ſeu Pythagoras po
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tius; qui ex planis figuris corpora conſtituunt: hi corpo
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rum natura conſtantium non naturalia, vt par erat, ſed
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Mathematica principia
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faciũt
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, quod minimè fieri debuerat:
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corpora enim naturalia ſunt ſubſtantiæ, & figuræ, ex quibus
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eadem componi Plato voluit, ſunt alterius cathegoriæ; qua
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propter principia, & principiorum effecta ad eamdem cathe
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goriam non pertinent; quod minimè decet, vt ab Ariſtotele co
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piosè demonstratur libro duodecimo Diuinorum.
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Secundo Plato, ſeu Pythagoras Mathematicorum principiis
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aduerſatur:
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nã
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geometræ
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lineã
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ex punctis probant non eſſe
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cõſtitutam
">con
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ſtitutam</
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, propterea quod linea in
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infinitũ
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diuidatur; &
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in
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infinitum diuidi eſt in geometria principium ſuapte natura no
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tũ
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, quod à geometra nullo modo probatur, ſed vt verissimum,
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ac notissimum ponitur: eadem ratione ſuperficies ex lineis
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nõ
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componitur, cum ſuperficiei diuiſio numquam finiatur: ergo et
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corpora ex ſuperficiebus
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generantur,
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cũ
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corpora pari ratio
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ne ſemper diuidantur: quapropter omnino ſequitur, corpora
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non conſtare ex planis figuris, quæ ſunt in ſuperficie; & corpo
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rum magnitudinem circumuoluunt; quoniam corpora infini-
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