The dynamic geometry figure below shows a triangle ABC with the circumcenter O. If OA, OB, and OC, are the circumcenters of triangles BOC, AOC, and AOB, respectively, prove that lines AOA, BOB, and COC are concurrent.
This step-by-step interactive illustration was created with GeoGebra.
GeoGebra is free and multi-platform dynamic mathematics software for all levels of education that joins geometry, algebra, tables, graphing, statistics and calculus application, intended for teachers and students. Many parts of GeoGebra have been ported to HTML5.
Ten problems: 1411-1420
HTML5 and Dynamic Geometry
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