Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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              <s id="s.001122">
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              mune, quia illis competit, quatenus ambo ſunt figura quædam, ideſt, qua­
                <lb/>
              tenus
                <expan abbr="vtrumq;">vtrumque</expan>
              illorum triangulum eſt; triangulo
                <expan abbr="namq;">namque</expan>
              omni primo com­
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              petit habere tres angulos æquales duobus rectis.</s>
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            <p type="main">
              <s id="s.001123">
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            <p type="margin">
              <s id="s.001124">
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              53</s>
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            <p type="main">
              <s id="s.001125">Tex. 38. (
                <emph type="italics"/>
              Et quemadmodum in alijs principium ſimplex, hoc autem non idem
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              vbique, ſed in pondere quidem mina, in cătu verò dieſis
                <emph.end type="italics"/>
              ) Dieſis apud Muſicos eſt
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              pars Toni. </s>
              <s id="s.001126">Tonus autem eſt interuallum duarum vocum, quale eſt inter pri­
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              mam vocem, Vt, & ſecundam Rè, vt modo loquuntur. </s>
              <s id="s.001127">iſtud interuallum
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              diuidunt Muſici primum in ſemitonia, non tamen æqualia, ſed vnum maius
                <lb/>
              altero. </s>
              <s id="s.001128">minus iterum in duas partes æquales ſubdiuidunt, quarum
                <expan abbr="vtramq;">vtramque</expan>
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              veteres harmonici dieſim dixerunt. </s>
              <s id="s.001129">& hęc dieſis eſt minima vox ab eis con­
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              ſiderata; & quæ prima cadit ſub ſenſum; & propterea veluti ſimplex prin­
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              cipium, & elementum, ex quo alia maiora interualla conſtent; & in quod
                <lb/>
              reſoluuntur.
                <foreign lang="grc">διέοις</foreign>
              porrò græcè valet inter alia, diuiſionem. </s>
              <s id="s.001130">igitur interual­
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              lum iſtud minimum dictum eſt dieſis, quod ſit quædam diuiſio, ſeu ſegmen­
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              tum Toni (
                <emph type="italics"/>
              Quemadmodum in pondere mina
                <emph.end type="italics"/>
              ) qui de ponderibus antiquis tra­
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              ctant, aſſerunt, Minam fuiſſe maiorem libra per ſemunciam, æquipondera­
                <lb/>
              bat enim centum drachmis: quæ refragantur huic loco. </s>
              <s id="s.001131">ſed fortè
                <expan abbr="dicẽdum">dicendum</expan>
              ,
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              Ariſt. conſideraſſe, Minam reſpectu Talenti, reſpectu enim illius dici poteſt
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              principium, cum ſex millia minarum in Attico talento continerentur.</s>
            </p>
            <figure id="id.009.01.061.1.jpg" place="text" xlink:href="009/01/061/1.jpg" number="29"/>
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            <p type="margin">
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              54</s>
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            <p type="main">
              <s id="s.001134">Tex. 39.
                <emph type="italics"/>
              (Si enim quod duobus rectis ineſt, non in
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              quantum æquicrus, ſed in quantum triangulus, no­
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              ſcens, &c.)
                <emph.end type="italics"/>
              ideſt, ſi enim qui cognoſcit, quod ha­
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              bere tres angulos æquales duobus rectis conuenit
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              æquicruri, non quatenus æquicrus eſt, ſed quate­
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              nus triangulus eſt, &c. </s>
              <s id="s.001135">quid ſit habere tres æqua­
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              les duobus rectis, &c. </s>
              <s id="s.001136">fusè explicatum eſt in lib. 1.
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              Priorum ſecto 3. cap. 1. quò te nunc mitto.</s>
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              <s id="s.001137">
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              55</s>
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            <p type="main">
              <s id="s.001139">Poſt pauca
                <emph type="italics"/>
              (Ineſt omni triangulo hoc quod est
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              duos, &c.)
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              ideſt, hæc proprietas, quæ eſt habere
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              duos angulos rectos non actu, ſed per æquiualen­
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              tiam trium angulorum trianguli. </s>
              <s id="s.001140">Vide quæ im­
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              mediatè ſupra de hac re dixi, & quò te remiſi.</s>
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              </s>
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              56</s>
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            <p type="main">
              <s id="s.001143">Eodem tex
                <emph type="italics"/>
              (Quando igitur cognoſcimus, quod
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              quatuor exteriores ſunt æquales, quoniam Iſoſceles,
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              adhuc deficit, propier quid Iſoſceles? </s>
              <s id="s.001144">quoniam trian­
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              gulus: & hoc quoniam figura rectilinea, &c.)
                <emph.end type="italics"/>
              exem­
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              plo geometrico vult oſtendere demonſtrationem
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              vniuerſalem eſſe particulari præſtantiorem: eſt
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              autem exemplum de pulcherrima,
                <expan abbr="atq;">atque</expan>
              admira­
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              bili proprietate, quæ omnibus figuris rectilineis
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              conuenit, eſt
                <expan abbr="q́">que</expan>
              ; huiuſmodi: Omnis figuræ rectili­
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              neæ anguli externi omnes ſimul ſumpti, ſunt æqu
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              les quatuor rectis angulis, quæ affectio demon­
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              ſtratur in ſcholio 32. primi Elem. dicuntur autem
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              anguli externi, qui productis lateribus fiunt, vt in
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              triangulo præſenti anguli externi ſunt, B D C,</s>
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          </chap>
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    </archimedes>
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