In projective geometry, Pascal's theorem (formulated by Blaise Pascal when he was 16 years old) determines that a hexagon inscribed in a conic, the lines that contain the opposite sides intersect in collinear points, ie if the six vertices a hexagon are located on a circle and three pairs of opposite sides intersect three intersection points are colinear. It is a generalization of the theorem of Pappus.
No doubt a theorem fantastic! Mainly, as well as aesthetic appeal, by Fanto is not clear (at least as far as I know). And it is this that motivates my questions.
1) There is some intuitive way to see Pascal's theorem?
What I mean is something in the same spirit of Java Aplet on the Sum of Outer Angles of a Polygon Theorem.
2) Pascal conceived his theorem as a generalization of Pappus theorem? The proof of Pascal gives some clue as to how he got the idea theorem?