The nine-point conic was described by Maxime B�cher in 1892.
2.
In 1953 Allen extended his study to a nine-point conic of a triangle inscribed in any central conic.
3.
So, only in the case that Char \ ne2 is the dual of a non-degenerate point conic a non-degenerate line conic.
4.
Thus, the dual of a non-degenerate point conic is a subset of points of a dual line and not an oval curve ( in the dual plane ).
5.
In geometry, the "'nine-point conic "'of a complete quadrangle is a conic that passes through the three diagonal points and the six midpoints of sides of the complete quadrangle.
6.
In the case that the underlying field has Char = 2 all the tangents of a point conic intersect in a point, called the " knot " ( or " nucleus " ) of the conic.
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