tag:blogger.com,1999:blog-6933544261975483399.post3657204453290212912..comments2024-06-24T08:16:51.045-07:00Comments on Go Geometry (Problem Solutions): Problem 902: Triangle, Four Squares, Center, Concurrent LinesAntonio Gutierrezhttp://www.blogger.com/profile/04521650748152459860noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-6933544261975483399.post-73087265532918624682018-07-19T19:30:40.944-07:002018-07-19T19:30:40.944-07:00Connect BJ and EC, which intersect perpendicularly...Connect BJ and EC, which intersect perpendicularly at V; connect BH and AF, which intersect perpendicularly at W (Vecten theorem). Connect VW. Draw circle ACHJ, which passes through V and W (because of right angles at V and W). Connect HM and JM, which are tangents to circle ACHJ. Then cyclic quadrilateral VWHJ with tangents at H and J becomes a 4-point degenerate case of Pascal's hexagon theorem. Thus BM, VH and WJ are concurrent at O. QEDMichael in NJhttps://www.blogger.com/profile/05442943078092136495noreply@blogger.com