Biancani, Giuseppe
,
Aristotelis loca mathematica
,
1615
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lo de quadratura Paraboles, quadraſſe ipſam Parabolem, quæ tamen duæ fi
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guræ, lunula ſcilicet, & parabola ſunt curuilineæ.</
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<
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">Ex cap. de Priori
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(in ſcientijs demonſtratiuis eſt prius, & poſterius ordine,
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elementa enim priora ſunt ijs, quæ deſcribuntur, nam principia prior a ſunt theore
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matibus ordine)
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verba illa, nam principia, &c. </
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<
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">quæ non ſunt in antiqua tran
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ſlatione deſumpſimus ex caſtigatiſſimo græco codice editionis Francfor
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dienſis, propterea quod totum hunc locum declarant; ſunt autem iſta,
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">αί γαρ αρχαί πρότεραι τῶν θεωρημάτων τῃ τάξη. </
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per ſcientias autem demonſtra
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tiuas intelligendas eſſe hoc loco ipſas Mathematicas ex eo patet, quod illis
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aſſignet Ariſt. Deſcriptiones; nam hoc verbo, Deſcriptiones, ſeu figuratio
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nes, ſolet ipſe Mathematicas Demonſtrationes innuere, quod in ipſis figu
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rationes, & Deſcriptiones adhibeantur, vt alijs locis patebit: idcirco ver
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ba illa à nobis addita ex græco, optimè
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præcedẽtia
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exponunt, cum per ele
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menta intelligantur principia, qualia ſunt initio Euclidis, & per deſcriptio
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nes exponant theoremata. </
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">quod autem principia illa ordine priora ſint de
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monſtrationibus, ſiue ipſas præcedant, ex ipſa primi Euclidis inſpectione
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patere poteſt.</
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">Ex cap. de motu
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(Quadratum augetur Gnomone circumpoſito)
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Gnomon vox
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græca inter alia ſignificat inſtrumentum illud, quod Latini tum amuſſim,
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tum normam appellant, Itali verò, Squadra, ad
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cuius ſimilitudinem Geometræ denominarunt fi
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guram quandam, ſeu portionem cuiuſuis paralle
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logrammi, vt videre eſt in definitione ſecunda
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2. elem. </
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">& in præſenti figura, in qua quadratum
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A B C D, circumpoſito gnomone E F G, augetur,
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& fit maius quadratum H B I L.</
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co, ſiue in numero quadrato: is enim pariter ad
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dito Gnomone augetur. </
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">i. </
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Ex Primo Priorum reſolutoriorum.
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<
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">Aliquorum opinio eſt, Ariſtotelem hoſce libros appellaſſe reſolu
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torios, quod per illos doceat ſyllogiſmum, ac demonſtrationem
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iam factam in ſua immediata principia reſoluere, quam opinio
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nem meum non eſt, nunc refellere. </
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multo aliter ſe habere, veram rationem huius tituli petendam eſſe ex peni
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tiori Mathematicorum eruditione. </
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<
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id, quod tradit Pappus
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Alex. initio ſeptimi Mathem. collect. </
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<
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Euclidem, Apollonium Pergæum, & Ariſtęum ſcripſiſſe libros de reſolutio
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ne, in quibus ars tradebatur, qua propoſito quouis theoremate, aut proble
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mate poſſent facile ex eo, tanquam vero accepto inueſtigare aliquam veri
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tatem, per quam deinde componerent illius, quod quærebatur, Demonſtra
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tionem; inueſtigationem illam appellabant reſolutionem: compoſitionem
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verò nominabant diſcurſum
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, quo ex vero illo per reſolutionem </
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