Viet Nam hexagon Theorem

Let hexagon ABCDEF. AC meets BD at G, BE meets CF at H, AE meets DF at I then GB/GD*ID/IF*HF/HC*GC/GA*IA/IF*HF/HB=1 <=> G,H,I are collinear (1) GB/GD*ID/IF*HF/HC*GC/GA*IA/IF*HF/HB=1 <=> A,B,C,D,E,F lie on a conic (2) G,H,I are collinear <=> A,B,C,D,E,F lie on a conic (3) (Pascal theorem) I named (1) and (2) are Viet Nam hexagon theorem. (This is a generalization power of a point with conic)