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
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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".
Darij Grinberg, Begonia points and coaxal circles.
Kaleidoscope of Problem
974 base on Poincare Disk Model.