Biancani, Giuseppe, Aristotelis loca mathematica, 1615

Table of figures

< >
[Figure 31]
[Figure 32]
[Figure 33]
[Figure 34]
[Figure 35]
[Figure 36]
[Figure 37]
[Figure 38]
[Figure 39]
[Figure 40]
[Figure 41]
[Figure 42]
[Figure 43]
[Figure 44]
[Figure 45]
[Figure 46]
[Figure 47]
[Figure 48]
[Figure 49]
[Figure 50]
[Figure 51]
[Figure 52]
[Figure 53]
[Figure 54]
[Figure 55]
[Figure 56]
[Figure 57]
[Figure 58]
[Figure 59]
[Figure 60]
< >
page |< < of 355 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb pagenum="33" xlink:href="009/01/033.jpg"/>
            <p type="head">
              <s id="s.000666">LOCA
                <lb/>
              MATHEMATICA
                <lb/>
              EX LIBRO
                <lb/>
              PRÆDICAMENTORVM
                <lb/>
              Per ordinem declarata.</s>
            </p>
            <p type="main">
              <s id="s.000667">
                <arrow.to.target n="marg1"/>
              </s>
            </p>
            <p type="margin">
              <s id="s.000668">
                <margin.target id="marg1"/>
              1</s>
            </p>
            <p type="main">
              <s id="s.000669">Ex c. 3. De his, quæ ad aliquid. </s>
              <s id="s.000670">Porrò quemadmodum vnus angulus vni angulo æqualis eſt, ita
                <lb/>
                <expan abbr="aliquãdo">aliquando</expan>
              duo anguli ſunt vni angulo æquales, vt patet, ſi vnus angulus, v.g.
                <lb/>
              angulus B A C, vbi ait
                <emph type="italics"/>
              (Scientia verò ſi non ſit,
                <lb/>
              nihil probibet eſſe ſcibile, vt circuli quadratura, ſi eſt ſcibilis,
                <lb/>
              ſcientia quidem eius nondum eſt)
                <emph.end type="italics"/>
              Cum velit Ariſt. oſtendere,
                <lb/>
              nó omnia correlatiua ſimul eſſe natura, id de ſcibili, & ſcien­
                <lb/>
              tia variè probat, præſertim verò, quia multa ſint ſcibilia,
                <lb/>
              quæ tamen nondum ſciantur, vt patet, inquit, in Quadratu­
                <lb/>
              ra circuli, & ſcientia ipſius, quia quamuis ipſa circuli quadratura ſit ſcibi­
                <lb/>
              lis, nondum tamen ſimul cum ipſa, ſcientia illius extat. </s>
              <s id="s.000671">Quæ vt perfectè
                <lb/>
              intelligantur, ſciendum eſt, quadraturam circuli, quæ à Græcis tetrago­
                <lb/>
              niſmus dicitur, nihil aliud eſſe, quàm propoſito cuilibet circulo exhibere
                <lb/>
              quadratum æquale. </s>
              <s id="s.000672">Quæ æqualitas debet intelligi de areis, ſeu ſpatijs, ita
                <lb/>
              vt area circuli, ſeu ſpatium illud, ſiue ſuperficies illa circularis, ſit æqualis
                <lb/>
              areæ, ſeu ſuperficiei quadratæ. </s>
              <s id="s.000673">Qua in re plurimi decipiuntur exiſtimantes
                <lb/>
              per quadraturam cir culi inquiri æqualitatem linearum, ita vt circumferen­
                <lb/>
              tia circuli debeat eſſe æqualis ambitui, ſeu quatuor lateribus quadrati:
                <lb/>
              quod omnino falſum eſt.</s>
            </p>
            <p type="main">
              <s id="s.000674">Quadratio porrò circuli dupliciter proponi poteſt, vel tanquam Theo­
                <lb/>
              rema, vel tanquam Problema
                <emph type="italics"/>
              (theorema autem eſt propoſitio, in qua nihil fa­
                <lb/>
              ciendum proponitur; problema verò aliquid fieri expoſcit)
                <emph.end type="italics"/>
              neutrum autem tem­
                <lb/>
              pore Ariſt. erat adinuentum nam theorema inuentum eſt poſt ipſum ducen­
                <lb/>
              tis circiter annis ab Archimede: problema verò nondum à quoquam per­
                <lb/>
              fectè potuit reperiri. </s>
              <s id="s.000675">qua diſtinctione ſaluari poſſunt nonnulli, vt Boetius
                <lb/>
              hoc loco, qui aiunt, ſe vidiſſe Demonſtrationem quadraturæ huius, ſi nimi­
                <lb/>
              rum intelligant theorema. </s>
              <s id="s.000676">& alij etiam verum aſſerunt, dum negant hacte­
                <lb/>
              nus repertam eſſe, ſi nimirum de problemate loquantur, theorema </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>