Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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              <s id="s.000692">
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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.</s>
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              2</s>
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              <s id="s.000695">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. </s>
              <s id="s.000696">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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                <foreign lang="grc">αί γαρ αρχαί πρότεραι τῶν θεωρημάτων τῃ τάξη. </foreign>
              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
                <expan abbr="præcedẽtia">præcedentia</expan>
              exponunt, cum per ele­
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              menta intelligantur principia, qualia ſunt initio Euclidis, & per deſcriptio­
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              nes exponant theoremata. </s>
              <s id="s.000697">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.</s>
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              3</s>
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              <s id="s.000700">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. </s>
              <s id="s.000701">& 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.</s>
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              <s id="s.000702">Idem etiam verum eſt in quadrato arithmeti­
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              co, ſiue in numero quadrato: is enim pariter ad­
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              dito Gnomone augetur. </s>
              <s id="s.000703">i. </s>
              <s id="s.000704">addito numero impari.
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              </s>
              <s id="s.000705">quemadmodum infra 3. Phyſ. tex. 26. fusè explicabimus.</s>
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          <chap>
            <p type="head">
              <s id="s.000706">
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              Ex Primo Priorum reſolutoriorum.
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              4</s>
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              <s id="s.000709">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. </s>
              <s id="s.000710">perſuaſum tamen mihi eſt, rem
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              multo aliter ſe habere, veram rationem huius tituli petendam eſſe ex peni­
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              tiori Mathematicorum eruditione. </s>
              <s id="s.000711">Sciendum
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              id, quod tradit Pappus
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              Alex. initio ſeptimi Mathem. collect. </s>
              <s id="s.000712">antiquiſſimos videlicet Geometras,
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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
                <expan abbr="illũ">illum</expan>
              , quo ex vero illo per reſolutionem </s>
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