Biancani, Giuseppe, Aristotelis loca mathematica, 1615

List of thumbnails

< >
61
61 		62
62
63
63 		64
64
65
65 		66
66
67
67 		68
68
69
69 		70
70
< >
page |< < of 355 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb pagenum="70" xlink:href="009/01/070.jpg"/>
            <p type="head">
              <s id="s.001310">
                <emph type="italics"/>
              Ex Primo Elenchorum.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001311">
                <arrow.to.target n="marg83"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.001312">
                <margin.target id="marg83"/>
              83</s>
            </p>
            <p type="main">
              <s id="s.001313">Cap. 10.
                <emph type="italics"/>
              (Nam pſeudographiæ non contentioſæ (ſecundum enim ea, quæ
                <lb/>
              ſub arte ſunt, captioſæ ſunt ratiocinationes)
                <expan abbr="neq;">neque</expan>
              ſi aliqua eſt pſeudogra­
                <lb/>
              phia circa verum, vt Hippocratis quadratura, quæ per lunulas, ſed, vt
                <lb/>
              Bryſſo quadrauit circulum; & tametſi quadretur circulus, quia tamen
                <lb/>
              non ſecundum rem, ideo ſophiſticus)
                <emph.end type="italics"/>
              qua ratione Hippocrates orbi quadrum
                <lb/>
              exhibere æquale tentauerit, explicatum eſt abundè in 2. Priorum cap. 31.
                <lb/>
              & quo itidem modo Bryſſo lib. 1. Poſter. tex. 23.
                <expan abbr="ſolũmodo">ſolummodo</expan>
              id hoc loco no­
                <lb/>
              tandum per pſeudographiam intelligere, vt apertè etiam inferius explicat,
                <lb/>
              Geometricam demonſtrationem fallacem, eò quod demonſtrationes geo­
                <lb/>
              metricæ fiant adhibitis deſcriptionibus, ſeu figurationibus: pſeudographia
                <lb/>
              autem latinè idem eſt, ac falſa deſcriptio; quemadmodum è contrariò, ſi­
                <lb/>
              cuti ſupra in Topicis, & alibi obſeruaui, per deſcribere intelligit geometri­
                <lb/>
              cè demonſtrare, & per deſcriptiones intelligit demonſtrationes geometri­
                <lb/>
              cas. </s>
              <s id="s.001314">Qua ratione item Hippocrates ex ijs, quæ ſub arte Geometriæ ſunt,
                <lb/>
              procederet ibi dictum eſt, propter quod non eſt contentioſa, quamuis fallax
                <lb/>
              ipſius demonſtratio: appellat enim Ariſt illas demonſtrationes contentio­
                <lb/>
              ſas, quæ non procedunt ex proprijs illius ſcientiæ, in qua fiunt, ſed ex com­
                <lb/>
              munibus alijs ſcientijs: captioſas verò, & ſophiſticas, quæ ex proprijs ſcien­
                <lb/>
              tiæ, in qua fiunt, decipiunt. </s>
              <s id="s.001315">At verò demonſtratio, ſeu pſeudographia Bryſ­
                <lb/>
              ſonis erat contentioſa, quia ex communibus, & extra Geometriam petitis
                <lb/>
              argumentabatur: quemadmodum ibi explicatum eſt.</s>
            </p>
            <p type="main">
              <s id="s.001316">
                <arrow.to.target n="marg84"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.001317">
                <margin.target id="marg84"/>
              84</s>
            </p>
            <p type="main">
              <s id="s.001318">Eodem cap.
                <emph type="italics"/>
              (Quadratura per lunulas non contentioſa)
                <emph.end type="italics"/>
              inquit Hippocratis
                <lb/>
              tetragoniſmum, de quo in 2. Priorum, quæ non contentioſa dicitur, quia ex
                <lb/>
              proprijs Geometriæ deducebatur.</s>
            </p>
            <p type="main">
              <s id="s.001319">
                <arrow.to.target n="marg85"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.001320">
                <margin.target id="marg85"/>
              85</s>
            </p>
            <p type="main">
              <s id="s.001321">Ibidem
                <emph type="italics"/>
              (Bryſſonis autem contentioſa: & illam quidem non eſt transferre, niſi
                <lb/>
              ad Geometriam ſolum; eo quod ex proprijs ſit principijs)
                <emph.end type="italics"/>
                <expan abbr="quãdo">quando</expan>
              ait
                <emph type="italics"/>
              (& illam qui­
                <lb/>
              dem)
                <emph.end type="italics"/>
              intelligit quadrationem Hippocratis. </s>
              <s id="s.001322">vide 2. Prior cap. 31. & quæ pau­
                <lb/>
              lo ante in præcedentibus locis diximus.</s>
            </p>
            <p type="main">
              <s id="s.001323">
                <arrow.to.target n="marg86"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.001324">
                <margin.target id="marg86"/>
              86</s>
            </p>
            <p type="main">
              <s id="s.001325">Ibidem
                <emph type="italics"/>
              (Hanc autem ad plures)
                <emph.end type="italics"/>
              intelligit tetragoniſmum Bryſſonis, qui
                <lb/>
              per communia deducebatur. </s>
              <s id="s.001326">lege ſuperius dicta in præcedentibus locis hu­
                <lb/>
              ius capituli.</s>
            </p>
            <p type="main">
              <s id="s.001327">
                <arrow.to.target n="marg87"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.001328">
                <margin.target id="marg87"/>
              87</s>
            </p>
            <figure id="id.009.01.070.1.jpg" place="text" xlink:href="009/01/070/1.jpg" number="35"/>
            <p type="main">
              <s id="s.001329">Ad finem cap.
                <emph type="italics"/>
              (Aut vt Antiphon quadra­
                <lb/>
              uit)
                <emph.end type="italics"/>
              ſimile peccatum peccaſſe Antiphon­
                <lb/>
              tem in orbe quadrando, ac Hippocratem,
                <lb/>
              Ariſt. his verbis videtur ſignificare, ideſt,
                <lb/>
              ipſum, quamuis ex proprijs Geometriæ,
                <lb/>
              falſis tamen ratiocinatum eſſe. </s>
              <s id="s.001330">Cæterum
                <lb/>
              Antiphontem in hunc modum orbem ad
                <lb/>
              quadrum redigere tentaſſe, tradit Simpli­
                <lb/>
              cius. </s>
              <s id="s.001331">circulo quadrando inſcribebat pri­
                <lb/>
              mò quadratum A B C D. deinde in ſingu­
                <lb/>
              lis quatuor ſegmentis inſcribebat totidem
                <lb/>
              trigona æquilatera, vt patet in adſcripta </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum