  In 1640's, Blaise Pascal discovered a remarkable property of a hexagon
inscribed in a conic - Pascal Theorem, which gave birth of the projective
geometry. In this paper, a new geometric invariant of algebraic curves is
discovered by a different comprehension to Pascal's mystic hexagram or to the
Pascal theorem. Using this invariant, the Pascal theorem can be generalized to
the case of cubic (even to algebraic curves of higher degree), that is, {\em
For any given 9 intersections between a cubic $\Gamma_3$ and any three lines
$a,b,c$ with no common zero, none of them is a component of $\Gamma_3$, then
the six points consisting of the three points determined by the Pascal mapping
applied to any six points (no three points of which are collinear) among those
9 intersections as well as the remaining three points of those 9 intersections
must lie on a conic.} This generalization differs quite a bit and is much
simpler than Chasles's theorem and Cayley-Bacharach theorems.
