Biancani, Giuseppe, Aristotelis loca mathematica, 1615

List of thumbnails

< >
71
71 		72
72
73
73 		74
74
75
75 		76
76
77
77 		78
78
79
79 		80
80
< >
page |< < of 355 > >|
    <archimedes>
      <text>
        <body>
          <pb pagenum="72" xlink:href="009/01/072.jpg"/>
          <chap>
            <p type="head">
              <s id="s.001337">EX PRIMO LIBRO
                <lb/>
              PHYSICORVM.
                <lb/>
                <arrow.to.target n="marg88"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.001338">
                <margin.target id="marg88"/>
              88</s>
            </p>
            <p type="main">
              <s id="s.001339">Tex. 11.
                <emph type="italics"/>
              (Simul autem
                <expan abbr="neq;">neque</expan>
              conuenit omnia ſoluere', ſed
                <expan abbr="quæcunq;">quæcunque</expan>
              ex
                <lb/>
              principijs aliquis demonſtrans
                <expan abbr="mẽtitur">mentitur</expan>
              ;
                <expan abbr="quæcunq;">quæcunque</expan>
              verò non, minimè:
                <lb/>
              vt tetragoniſmum, eum quidem, qui per ſectiones Geometrici est diſ­
                <lb/>
              ſoluere: illum autem, qui Antiphontis non Geometrici eſt
                <emph.end type="italics"/>
              ) Tetrago­
                <lb/>
              niſmum, ſeu circuli quadraturam per ſectiones, eſſe illam Hip­
                <lb/>
              pocratis Chij exiſtimant græci expoſitores, qui per lunulas, quas Ariſt. ſe­
                <lb/>
              ctiones appellat, orbem quadrare tentabat. </s>
              <s id="s.001340">Eius demonſtrationem expli­
                <lb/>
              caui ad cap. 31. de Abductione in 2. Priorum, quam inibi videas. </s>
              <s id="s.001341">hoc ſolum
                <lb/>
              hic notandum pertinere ad Geometram, ipſam refellere, quia ex falſa qua­
                <lb/>
              dam præmiſſa ex Geometria deſumpta, ratiocinabatur, idcirco debet (in­
                <lb/>
              quit Ariſt.) Geometra illius deceptionem inuenire. </s>
              <s id="s.001342">Tetragoniſmum autem
                <lb/>
              Antiphontis non eſt Geometræ
                <expan abbr="cõfutare">confutare</expan>
              , quia aduerſabatur principijs Geo­
                <lb/>
              metriæ, ſupponebat enim circuli circumferentiam ex indiuiduis,
                <expan abbr="minimisq́">minimisque</expan>
              ;
                <lb/>
              lineis rectis componi: cuius falſam demonſtrationem explicatam inuenies
                <lb/>
              ad cap. 10. primi Elench. poſſumus addere tertiam rationem quia ſcilicet
                <lb/>
              Hippocrates non procedebat per communia alijs ſcientijs, vt videre eſt ad
                <lb/>
              tex. 23. primi Poſter. cap. 8. vbi ipſius pſeudographiam expoſui. Quemad­
                <lb/>
              modum igitur Geometra diſſoluit falſas tantummodo rationes eas, quæ ſer­
                <lb/>
              uatis Geometricis principijs procedunt; non autem eas, quæ Geometriæ
                <lb/>
              principia conuellunt: ita Phyſico non incumbit
                <expan abbr="cõtra">contra</expan>
              Parmenidem, ac Me­
                <lb/>
              liſſum naturæ principia deſtruentes diſceptare, aut fallaces eorum rationes
                <lb/>
              coarguere. </s>
              <s id="s.001343">Hoc volebat Ariſtoteles inferre.</s>
            </p>
          </chap>
          <chap>
            <p type="head">
              <s id="s.001344">
                <emph type="italics"/>
              Ex Secundo Phyſicorum.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001345">
                <arrow.to.target n="marg89"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.001346">
                <margin.target id="marg89"/>
              89</s>
            </p>
            <p type="main">
              <s id="s.001347">Tex. 20. (
                <emph type="italics"/>
              Geometria enim de phyſica linea conſiderat, ſed non quatenus
                <lb/>
              eſt phyſici: Perſpectiua autem mathematicam quidem lineam, ſed non
                <lb/>
              quatenus phyſica eſt
                <emph.end type="italics"/>
              ) quamuis textus hic non pertineat ad Mathe­
                <lb/>
              maticum, libuit tamen illum in ordinem noſtrum recenſere, ope­
                <lb/>
              ræpretium etenim eſt ea, quæ in ipſo continentur à nonnullis recentioribus
                <lb/>
              rectè intelligi, vt ab his moniti, ab inani quadam optices impugnatione ab­
                <lb/>
              ſtineant, ac tandem ex Ariſt. lineas illas viſuales quas ipſi de medio tollunt,
                <lb/>
              perſpicuè videant. </s>
              <s id="s.001348">cætera, quæ in præcedentibus locis Ariſt. de Natura Ma­
                <lb/>
              thematicarum habet, ſunt præter noſtrum inſtitutum.</s>
            </p>
            <p type="main">
              <s id="s.001349">
                <arrow.to.target n="marg90"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.001350">
                <margin.target id="marg90"/>
              90</s>
            </p>
            <p type="main">
              <s id="s.001351">Tex. 28. (
                <emph type="italics"/>
              Alio autem modo, forma, & exemplum: hæc autem eſt ratio ipſius,
                <lb/>
              quod quid erat eſſe, & huius genera, vt ipſius diapaſon duo ad vnum, & omnino
                <lb/>
              numerus, & partes, quæ in ratione ſunt
                <emph.end type="italics"/>
              ) vt benè intelligas, quod in præſenti
                <lb/>
              textu
                <expan abbr="mathematicũ">mathematicum</expan>
              eſt, conſule prius, quæ ſcripſi ad tex. 1. cap. primi 2. Po­
                <lb/>
              ſter. ſuper verba illa (
                <emph type="italics"/>
              Quid eſt conſonantia?
                <emph.end type="italics"/>
              ) vbi perſpicuè videbis, cur
                <expan abbr="con-ſonãtiæ">con­
                  <lb/>
                ſonantiæ</expan>
              , quæ dicitur Diapaſon, eſſentia, & definitio ſit ipſa proportio dupla,
                <lb/>
              quæ ſub his num. </s>
              <s id="s.001352">2.1. continetur: quibus perſpectis facilis erit phyſico totius
                <lb/>
              loci intelligentia.</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum