Ceva, Giovanni, Geometria motus, 1692

List of thumbnails

< >
21
21 		22
22
23
23 		24
24
25
25 		26
26
27
27 		28
28
29
29 		30
30
< >
page |< < of 110 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb pagenum="21" xlink:href="022/01/027.jpg"/>
            <p type="margin">
              <s id="s.000239">
                <margin.target id="marg52"/>
                <emph type="italics"/>
              Cor. </s>
              <s id="s.000240">pr.
                <emph.end type="italics"/>
              18.
                <lb/>
                <emph type="italics"/>
              huius.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000241">
                <emph type="center"/>
              PROP. X. THEOR. X.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000242">IN quouis parallelogrammo BD ſint deinceps diagona­
                <lb/>
                <arrow.to.target n="marg53"/>
                <lb/>
              les AGC, AHC, AIC, ALC, aliæque numerò infinitæ,
                <lb/>
              ita vt acta quælibet recta EF parallela BA
                <expan abbr="ãs">ſecans</expan>
              ipſas dia­
                <lb/>
              gonales in punctis G, L, H, I, ſit ſemper DA ad AF, vt CD,
                <lb/>
              aut EF ad FG; quadratum ex DA ad quadratum AF vt
                <lb/>
              EF ad FH; cubus ex DA ad cubum ex AF vt EF ad FI;
                <lb/>
              quadroquadratum ex DA ad quadroquadratum ex AF
                <lb/>
              vt EF ad FL; & ſic continuò procedendo per infinitas ex
                <lb/>
              ordine poteſtates: Stephanus de Angelis Author ſubtilis,
                <lb/>
              ac celeberrimus, libro ſuo infin. parabolarum vocat trian­
                <lb/>
              gulum rectilineum ABC parabolam primam, BAHC ſe­
                <lb/>
              cundam; tertiam BAIC, quartam BALC, & ita in infini­
                <lb/>
              tum: His definitis docet ex Cauallerio parallelogrammum
                <lb/>
              BD ad quancunque dictarum parabolarum ſibi inſcripta­
                <lb/>
              rum eſſe vt numerus, vel exponens parabolæ vnitate au­
                <lb/>
              ctus ad ipſum exponentem, ſiue numerum parabolę, qua­
                <lb/>
              re ad primam habebit ipſum parallelogrammum eandem
                <lb/>
              rationem, ac 2 ad 1; ad ſecundam vt 3 ad 2; ad tertiam vt
                <lb/>
              4 ad 3, & ita deinceps de reliquis; itaque per conuerſio­
                <lb/>
              nem rationis habebit ipſum parallelogrammum ad exceſ­
                <lb/>
              ſum illius ſupra quancunque parabolarum dictarum, ſcili­
                <lb/>
              cet ad trilineum primum AGCD eandem rationem, quam
                <lb/>
              2 ad 1, ad ſecundum quam 3 ad 1, & ſic deinceps quam
                <lb/>
              numerus trilinei vnitate auctus ad ipſam vnitatem. </s>
              <s id="s.000244">Sed
                <lb/>
              eſt etiam admonendum verticem dictarum parabolarum
                <lb/>
              eſſe punctum A, & per conſequens AB diametrum, & BC
                <lb/>
              ordinatim aplicatam, ſeu baſim. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum