Biancani, Giuseppe, Aristotelis loca mathematica, 1615

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              ſed eadem ratione erit etiam in linea B E, er­
                <lb/>
              go non niſi in puncto F, quod
                <expan abbr="ſolũ">ſolum</expan>
              eſt in vtra­
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              que, quod erat demonſtrandum. </s>
              <s id="s.001036">ex quibus ap­
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              paret, qua ratione mechanica concluſio Geo­
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              metriæ ſubiaceat, dum lineari diſcurſu ipſa
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              demonſtratio perficitur. </s>
              <s id="s.001037">Scias præterea cen­
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              trum grauitatis eſſe tale punctum, ex quo ſi ſu­
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              ſpendatur corpus triangulare vniformis craſ­
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              ſitici, manet ſemper horizonti parallelum, ſi
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              tamen antequam ſuſpenderetur, iacebat plano horizontis, æquidiſtans;
                <lb/>
                <expan abbr="neq;">neque</expan>
              ſi ſuſpenſum feratur huc illud nutat, ſed ſemper in
                <expan abbr="codẽ">codem</expan>
              ſitu perſeuerat.</s>
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              39</s>
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            <p type="main">
              <s id="s.001040">Tex. 24.
                <emph type="italics"/>
              (Veluti Arithmetica quidem quid impar, aut par; aut quadrangu­
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              lum, aut cubus)
                <emph.end type="italics"/>
              cognoſcas hinc certò certius quadrangulum, & cubum eſſe
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              ſpecies numerorum, ſicuti ſupra tex. 9. & 20. explicauimus, quò nunc te vi­
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              ciſſim, vt præſentem locum intelligas, remittimus.</s>
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              40</s>
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            <p type="main">
              <s id="s.001043">Ibidem
                <emph type="italics"/>
              (Geometrica verò quid irrationale, aut refrangi, aut concurrere)
                <emph.end type="italics"/>
              per
                <lb/>
              verbum, irrationale, non videtur Ariſt. intellexiſſe proprietatem illam duo­
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              rum linearum incommenſurabilium longitudine, & potentia, quia vſus fuiſ­
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              ſet verbo,
                <foreign lang="grc">άορητον.</foreign>
              quod apud Geometras vſurpari ſolet in illa ſignificatio­
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              ne, ſed vſus eſt verbo,
                <foreign lang="grc">ὰλογον,</foreign>
              quod latinè redditur improportionale.</s>
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              <s id="s.001045">
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              41</s>
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            <p type="main">
              <s id="s.001046">Per verbum
                <emph type="italics"/>
              (Refrangi)
                <emph.end type="italics"/>
              ſeu frangi, intelligit lineam aliquam rectam, non
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              in directum tendere, ſed in aliquo puncto frangi, ſeu declinari à rectitudine,
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              ita vt conſtituat angulum.</s>
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            <p type="main">
              <s id="s.001047">Per verbum
                <emph type="italics"/>
              (Concurrere)
                <emph.end type="italics"/>
              intelligit, non eſſe parallelas, ſed ad idem ali­
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              quod punctum coire, ſi protrahantur.</s>
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              42</s>
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            <p type="main">
              <s id="s.001050">Ibidem
                <emph type="italics"/>
              (Et Astrologia ſimiliter)
                <emph.end type="italics"/>
              per Aſtrologiam intelligit Ariſt. non iu­
                <lb/>
              diciariam, quamuis à recentioribus hoc nomine vocetur, ſed quam hodie
                <lb/>
              dicunt Aſtronomiam,
                <expan abbr="aitq́">aitque</expan>
              ; ipſam conſiderare quantitatem, figuram, mo­
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              tum, & locum totius Mundi, ac partium ipſius integrantium, vt ſunt Cœli,
                <lb/>
              & Elementa.</s>
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              43</s>
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            <p type="main">
              <s id="s.001053">Tex. 25.
                <emph type="italics"/>
              (
                <expan abbr="Neq;">Neque</expan>
              Geometra falſa ſupponit, quemadmodum quidam aſſeruere di­
                <lb/>
              centes, quod non oportet falſo vti: Geometram verò mentiri dicentem pedalem, non
                <lb/>
              pedalem, aut rectam deſcriptam, non rectam
                <expan abbr="existẽtem">existentem</expan>
              : Geometra verò nihil con­
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              cludit eò, quod hæc eſt linea, ſed quæ per hæc oſtenduntur)
                <emph.end type="italics"/>
              innuit his verbis eam
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              materiam intelligibilem, quæ eſt ſubiectum Geometriæ: eam ſcilicet, quæ
                <lb/>
              ſub figuris Geometricis ſenſibilibus, &
                <expan abbr="plerunq;">plerunque</expan>
              falſis latet; nam ſæpè Geo­
                <lb/>
              metra vtitur linea quadam ſenſibili pro recta, quæ verè nec eſt linea mathe­
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              matica, nec recta; ſupponit aliquando talem lineam eſſe pedalem, quæ ve­
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              rè non eſt pedalis: Verumtamen non mentitur, quia reſpicit ad veram li­
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              neam mathematicam, quæ ſub illa intelligitur, & quæ recta concipitur; &
                <lb/>
              quidem hæc omnia verè concipiuntur, quoniam ita eſſe re vera poſſunt.</s>
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              44</s>
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            <p type="main">
              <s id="s.001056">Tex. 28.
                <emph type="italics"/>
              (Coaltern as verò coincidere)
                <emph.end type="italics"/>
              per coalternas intelligendas eſſe pa­
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              rallelas lineas, alias, & nunc
                <expan abbr="quoq;">quoque</expan>
              monemus.</s>
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              45</s>
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            <p type="main">
              <s id="s.001059">Tex. 29.
                <emph type="italics"/>
              (In Mathematicis verò non est ſimiliter paralogiſmus, quoniam me­
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              diŭ eſt ſemper, quod duplex, de hoc enim omni, & hoc rurſus de alio dicitur omni)
                <emph.end type="italics"/>
                <lb/>
              aduerte, quod quamuis nonnulli codices habeant pro, in mathematicis, </s>
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          </chap>
        </body>
      </text>
    </archimedes>
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