Biancani, Giuseppe, Aristotelis loca mathematica, 1615

Table of figures

< >
[Figure 31]
Page: 64
[Figure 32]
Page: 65
[Figure 33]
Page: 67
[Figure 34]
Page: 69
[Figure 35]
Page: 70
[Figure 36]
Page: 73
[Figure 37]
Page: 74
[Figure 38]
Page: 74
[Figure 39]
Page: 74
[Figure 40]
Page: 74
[Figure 41]
Page: 75
[Figure 42]
Page: 76
[Figure 43]
Page: 78
[Figure 44]
Page: 79
[Figure 45]
Page: 80
[Figure 46]
Page: 82
[Figure 47]
Page: 84
[Figure 48]
Page: 84
[Figure 49]
Page: 84
[Figure 50]
Page: 87
[Figure 51]
Page: 89
[Figure 52]
Page: 92
[Figure 53]
Page: 100
[Figure 54]
Page: 109
[Figure 55]
Page: 111
[Figure 56]
Page: 114
[Figure 57]
Page: 116
[Figure 58]
Page: 116
[Figure 59]
Page: 117
[Figure 60]
Page: 118
< >
page |< < of 355 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000744">
                <pb pagenum="38" xlink:href="009/01/038.jpg"/>
              propoſitionis, quæ falſa eſt, nimirum ſuppoſito prædictas lineas eſſe comm.
                <lb/>
              deducit ad impoſſibile, ſiue, vt ait hic Ariſt. falſum ratiocinatur, quod ſci­
                <lb/>
              licet idem numerus eſſet par, & impar, quod Ariſt. ſignificat, quando ait,
                <lb/>
              imparia æqualia paribus fiunt. </s>
              <s id="s.000745">ex quo abſurdo deducitur falſam eſſe prædi­
                <lb/>
              ctam ſuppoſitionem, quæ aſtruebat eſſe comm. & proinde altera pars con­
                <lb/>
              tradictionis, quæ eſt, eſſe incomm. vera aſtruitur. </s>
              <s id="s.000746">ex quibus ſatis videtur ex­
                <lb/>
              plicari hic locus. </s>
              <s id="s.000747">videas igitur, quàm leuiter nonnulli noſtræ tempeſtatis
                <lb/>
              ageometreti iſtud exponant, dicentes diametrum eſſe incomm. coſtæ, nihil
                <lb/>
              aliud ſignificare, quam diametrum eſſe longiorem coſta, qua expoſitione
                <lb/>
              nihil ineptius. </s>
              <s id="s.000748">Aduerte tandem figuram vulgatæ editionis eſſe ineptam,
                <lb/>
              cum habeat duo quadrata alterum ſuper diametro alterius, quorum maius
                <lb/>
              ſuperuacaneum eſt.</s>
            </p>
            <p type="main">
              <s id="s.000749">
                <arrow.to.target n="marg6"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000750">
                <margin.target id="marg6"/>
              6</s>
            </p>
            <p type="main">
              <s id="s.000751">Et cap. 24. ſecti primi libri primi
                <emph type="italics"/>
              (Sed magis efficitur manifeſtum in deſcri­
                <lb/>
              ptionibus, vt quod æquicruris, qui ad baſim æquales ſint, ad centrum ductæ A B,
                <lb/>
              A C, ſi igitur æqualem accipiat A G, angulum ipſi A B D, non omnino exiſtimans
                <lb/>
              æquales, qui ſemicirculorum, & rurſus G, ipſi D, non omnem aſſumens eum, qui ſe­
                <lb/>
              cti. </s>
              <s id="s.000752">amplius ab æqualibus existentibus totis angulis, & ablatorum æquales eſſe re­
                <lb/>
              liquos E, F, quod ex principio petet, niſi acceperit ab æqualibus demptis æqualia
                <lb/>
              derelinqui.)
                <emph.end type="italics"/>
              Primum ſcias characteres vulgatæ editionis, vna cum figura ip­
                <lb/>
              ſis reſpondente, eſſe mendoſos; propterea ex textu græco vtrunque corri­
                <lb/>
              gendum putaui in hunc, quem vidiſti modum. </s>
              <s id="s.000753">Secundo, per deſcriptiones
                <lb/>
              Ariſt. intelligere
                <expan abbr="demõſtrationes">demonſtrationes</expan>
              Geometricas ſupra diximus, quod ex hoc
                <lb/>
              loco euidenter confirmatur, vbi manifeſtè loco deſcriptionis ſupponit li­
                <lb/>
              nearem demonſtrationem. </s>
              <s id="s.000754">In hoc
                <expan abbr="itaq;">itaque</expan>
              exemplo vult Ariſt. illud demon­
                <lb/>
              ſtrare, quod Euclides in 5. primi oſtendit, alio tamen modo, ſcilicet Iſoſce­
                <lb/>
              lium triangulorum, qui ad baſim ſunt anguli, inter ſe ſunt æquales. </s>
              <s id="s.000755">eſt au­
                <lb/>
              tem figura in omnibus textibus deprauata, quam ſic puto
                <expan abbr="rèſtītuendam">rèſtituendam</expan>
              eſſe
                <lb/>
              ex quodam græco codice, qui characteres hoc modo appoſuerat. </s>
              <s id="s.000756">ſit Iſoſce­
                <lb/>
                <figure id="id.009.01.038.1.jpg" place="text" xlink:href="009/01/038/1.jpg" number="6"/>
                <lb/>
              les C A B, cuius baſis C B, Dico angulos ſupra baſim,
                <lb/>
              in quibus literæ E F, eſſe inuicem æquales. </s>
              <s id="s.000757">facto centro
                <lb/>
              in A, deſcribatur circulus A B C, tranſiens per puncta
                <lb/>
              C B, iam ſic. </s>
              <s id="s.000758">omnes anguli ſemicirculi ſunt æquales in­
                <lb/>
              ter ſe, ergo anguli A C G, A B D, ſunt æquales. </s>
              <s id="s.000759">Præte­
                <lb/>
              rea cùm anguli eiuſdem ſectionis ſint æquales ad inui­
                <lb/>
              cem, erunt anguli ſectionis C B D G, nimirum anguli,
                <lb/>
              in quibus ſunt G, & D, inter ſe æquales:
                <expan abbr="cumq́">cumque</expan>
              ; hi duo
                <lb/>
              anguli ſectionis ſint partes
                <expan abbr="angulorũ">angulorum</expan>
              ſemicirculi A C G,
                <lb/>
              A B D, ſi illi ab his auferantur, auferuntur æquales anguli ab æqualibus an­
                <lb/>
              gulis, ergo anguli, qui remanent, ſcilicet E, & F, erunt æquales, quod erat
                <lb/>
              demonſtrandum. </s>
              <s id="s.000760">hinc Ariſt. infert manifeſtum eſſe oportere in omni ſyllo­
                <lb/>
              giſmo, reperiri vniuerſales, & affirmatiuas propoſitiones, vt Factum eſt in
                <lb/>
              præcedenti aliter eſſet petitio principij. </s>
              <s id="s.000761">Quænam vero ſit æqualitas, quam
                <lb/>
              Geometræ conſiderant, infra cap. 1. ſecti 3. explicabitur.</s>
            </p>
            <p type="main">
              <s id="s.000762">
                <arrow.to.target n="marg7"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000763">
                <margin.target id="marg7"/>
              7</s>
            </p>
            <p type="main">
              <s id="s.000764">Ex cap. 2. ſecti 2. lib. 1.
                <emph type="italics"/>
              (Secundum veritatem quidem ex ijs, quæ ſecundum
                <lb/>
              veritatem deſcribuntur ineſſe, ad dialecticos autem ſyllogiſmos ex propoſitionibus
                <lb/>
              ſecundum opinionem)
                <emph.end type="italics"/>
              verba illa; ex ijs, quæ
                <expan abbr="ſecundũ">ſecundum</expan>
              veritatem deſcribuntur </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum