Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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<
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">Tex. 4. (
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Similiter autem figurationum
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elementa dicuntur, ac ſimpliciter
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demonſtrationum primæ enim demonſtrationes, quæ in pluribus demonstrationibus
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inſunt, hæc elementa demonſtrationum dicuntur
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) verbo (
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Figurationum
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) ſiue
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ſcriptionum</
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, Ariſt, intelligere demonſtrationes Geometricas, ſæpius dictum
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eſt, præſertim in Logicis, & ex hoc loco pariter confirmatur. </
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<
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rò loco illud innoteſcit dignum, quod præcipuè à Mathematico non igno
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retur, quæ nam ſint demonſtrationes illæ, quæ nomine
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elementorũ
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debeant
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appellari, necnon cauſa cur Euclides ſuum opus elementa nuncupauerit,
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ſunt enim illæ, quæ in pluribus demonſtrationibus inſunt, ideſt, quæ ſæpius
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in alijs demonſtrationibus citantur, vti ſunt præcipuè ſex priores libri Eu
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clidis:
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hac ratione elementa appellantur.</
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<
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(Principium
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ſcibilis, circa
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ipſum vnum, non eſt au
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tem idem in cunctis generibus vnum, ſed hic quidem dieſis, hic verò vocalis, aut
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muta)
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ideſt, in Muſica quidem principium omnium, & elementum eſt die
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ſis, quæ eſt minima vox, aut ſonus, qui ſub Muſici conſiderationem cadat.
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<
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(Veluti diametrum commenſurabilem eſſe impoſſibile est)
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huius expo
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ſitionem inuenies 1. Priorum, ſecto 1. cap. 23.</
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(Metaphoricè autem, quæ in Geometria po
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tentia dicitur)
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potentiam vnius lineæ appellant Geometræ
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quadratum illius, ideſt quadratum ſuper ipſam conſtru
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ctum. </
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<
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">v. g. quadratum in quo C, dicitur potentia lineæ
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D B, quia ſuper illam conſtructum eſt.</
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Quemadmodum dicitur diametrum eſſe commenſurabilem
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) vide an
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notata 1. Priorum, ſecto 1. cap. 23.</
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Vt triangulo duos rectos habere
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) ideſt affectio trianguli eſt habe
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re tres angulos æquales duobus rectis angulis. </
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lib. primo Priorum, ſecto 3. cap. 1.</
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Ex Sexto Metaphyſicæ.
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<
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">Tex. 1. (
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Mathematicorum quoque principia, elementa, & cauſæ ſunt
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)
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notanda ſunt hæc aduerſus quoſdam, qui negant in Mathemati
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cis cauſas reperiri, vt hinc
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illis ſcientiam auferant. </
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<
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uerò apertè patet eos falli ex toto hoc Ariſt. diſcurſu.</
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Ex Nono Metaphyſicæ.
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Vt ſi quis dicat diametrum poſſe commenſurari, non tamen commenſu
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rabitur
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) & paulò infra (
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Commenſurari enim impoſſibile eſt
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) expoſi
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tionem horum reperies 1. Priorum, ſecto 1. cap. 23.</
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<
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Deſcriptiones
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actu inueniuntur, diuidentes nanque
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inuenirent, quod ſi diuiſæ eſſent, manifeſtè eſſent, nunc autem inſunt potentia, cur
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triangulus duo recti? </
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