Biancani, Giuseppe, Aristotelis loca mathematica, 1615

Page concordance

< >
Scan Original
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
< >
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