Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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              dunt,
                <expan abbr="atq;">atque</expan>
              in exitu ita refraguntur, vt ad A, punctum coaceruati, ibi poſ­
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              ſint, ſi quid combuſtibile occurrat, comburere. </s>
              <s id="s.001168">Si igitur, inquit Ariſt. vide­
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              remus illos radios ſic permeare, & refrangi, planum
                <expan abbr="vtiq;">vtique</expan>
              nobis eſſet pro­
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              pter quid incendant.
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              </s>
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              61</s>
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              <s id="s.001170">Ad finem tex. 43.
                <emph type="italics"/>
              (Principia enim duplicia ſunt, ex quibus, & circa quod:
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              quæ quidem igitur, ex quibus, communia ſunt: quæ autem circa quod propria, vt
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              numerus, magnitudo)
                <emph.end type="italics"/>
              nonnulli codices corruptè legunt (vt numerus magni­
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              tudine) ſed ex græco tex. corrigendi ſunt, vti fecimus. </s>
              <s id="s.001171">Cæterum per prin­
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              cipia, ex quibus intelligit Dignitates, quia ex illis diſcurrimus. </s>
              <s id="s.001172">per princi­
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              pia verò circa quod, intelligit Definitiones, quibus, vt apparet apud Eucli­
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              dem, explicatur ſubiectum, circa quod ſcientia verſatur; vt in definitioni­
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              bus primi Elem. docemur, quid ſit linea, quid triangulum, quid circulus,
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              quid magnitudines reliquæ, quæ ſunt materia, circa quam Geometria ſpe­
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              culatur. </s>
              <s id="s.001173">In ſeptimo verò traduntur definitiones numerorum, quid ſit nu­
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              merus, quid impar, quid compoſitus, quadratus, cubus, & reliquæ nume­
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              rorum ſpecies, quæ ſunt materia ſeptimi, octaui, & noni, in quibus de Arith­
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              metica tractatur.</s>
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              62</s>
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            <p type="main">
              <s id="s.001176">Tex. 44.
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              (Commenſurabilem namq; eſſe diametrum verè opinari, abſurdum eſt)
                <emph.end type="italics"/>
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              vide, quæ de
                <expan abbr="commẽſurabilitate">commenſurabilitate</expan>
              diametri quadrati cum latere expoſuimus
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              lib. 1. Priorum ſecto 1. cap. 23. ait igitur Ariſt. abſurdum eſſe opinari dia­
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              metrum eſſe commenſurabilem coſtæ, ſeu lateri eiuſdem quadrati, reli­
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              qua ſunt Logica.</s>
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          <chap>
            <p type="head">
              <s id="s.001177">
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              Ex Secundo Posteriorum.
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              63</s>
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              <s id="s.001180">Tex. 1.
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              (Dico autem ſimpliciter quidem ſubiectum, vt Lunam, aut ter­
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              ram, aut Solem, aut triangulum; aliquid verò defectum, æqualitatem,
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              inæqualitatem. </s>
              <s id="s.001181">ſi in medio, aut non)
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              Zabarella locum hunc, etiam
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              quatenus ad Mathematicum attinet, optimè declarat. </s>
              <s id="s.001182">In quæ­
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              ſtionibus, & demonſtrationibus duo ſunt, ſubiectum, &
                <expan abbr="prædicatũ">prædicatum</expan>
              ,
                <expan abbr="vtriuſq;">vtriuſque</expan>
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              cauſæ exiſtunt, & quæruntur: v. g. Luna, terra, Sol, & triangulum ſunt ſu­
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              biectum in demonſtratione, quorum prædicata ſunt, Lunæ quidem, & So­
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              lis, eclypſis. </s>
              <s id="s.001183">terræ autem eſſe in medio mundi, quod ab Aſtronomis ratione
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              ab eclypſibus deſumpta, euidentius, quam ab alio quoquam demonſtratur,
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              vt patet ex tractatu de ſphæra. </s>
              <s id="s.001184">in quo Zabarella non probatur, qui ſolum
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              ait, terram eſſe in medio mundi, à Phyſicis demonſtrari. </s>
              <s id="s.001185">
                <expan abbr="triãgulum">triangulum</expan>
              autem,
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              ſeu angulorum ipſius
                <expan abbr="prædicatũ">prædicatum</expan>
              eſt æqualitas, & inæqualitas: vt cum in 32.
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              primi Elem. demonſtrat Euclides, omne triangulum habere tres angulos
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              æquales duobus rectis.</s>
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              64</s>
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              <s id="s.001188">Ibidem
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              (Quid eſt conſonantia? </s>
              <s id="s.001189">ratio numerorum in acuto, & graui, &c)
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              tan­
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              git breuiter Ariſt. cauſam formalem conſonantiæ, & conſequenter defini­
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              tionem ipſius. </s>
              <s id="s.001190">definiunt igitur Muſici conſonantiam hoc modo; Conſonan­
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              tia eſt compoſitio ſoni grauis, & acuti, quæ ſuauiter auribus accidit; & quo­
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              rum ſonorum proportio ad inuicem ſit ſicuti proportio numerorum, qui
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              quaternario includuntur: vt eſt proportio 2. ad 1. vel 3. ad 1. vel 4. ad 1.
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              vel 3. ad 2. vel 4. ad 3.
                <expan abbr="Quotieſeunq;">Quotieſcunque</expan>
              igitur duo ſoni habuerin quampiam </s>
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