5G-s-P6 2nd 5G-Hung’s Point


Let Ai, i = 1, 2, . . . , 5, be any five points.
Taking subscripts modulo 5, we denote, for i = 1, 2, . . . , 5,
the intersection of the lines AiAi+1 and Ai+2Ai+3 by Bi+3,
the second intersection of two circles (AiAi+1Bi+2) and (Ai+1Ai+2Bi+3) by Ci+1,
the center of circle (AiAi+1Bi+2) by Ki+2, and the center of circle (Ci+1Bi+2Bi+3) by Li.
Then five lines KiLi, for i = 1, 2, . . . , 5, are concurrent at a point 5G-s-P6.
This theorem was found by Tran Quang Hung at Ref-70, Theorem 4.

5G s P6 2nd 5G Hung's Point 01