Dynamic
Geometry Problem 974:
'Begonia Theorem', Cevian Triangle, Reflection of a
point in a line, Concurrency of Lines. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus). Levels:
School, College, Mathematics Education
< PREVIOUS PROBLEM |
NEXT PROBLEM >
The dynamic figure below shows a triangle ABC and a point D.
The triangle A1B1C1 is the cevian triangle of D (cevians AA1, BB1, CC1 concurrent at D). D1, D2, and D3 are the reflections of D in the lines B1C1,
A1C1, A1B1. Prove that the lines AD1, BD2, CD3 are concurrent at E, called "begonia point".
Reference:
Darij Grinberg, Begonia points and coaxal circles. See also:
Kaleidoscope of Problem
974 base on Poincare Disk Model.
|