Dynamic Geometry 1473: Kosnita's Theorem, Triangle, Four Circumcenters, Concurrent Line, Step-by-step Illustration

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.


Static Diagram of Geometry Problem 1473

Kosnita's Theorem, Triangle, Four Circumcenters, Concurrent Line, Step-by-step Illustration, iPad Apps


Poster of the Kornita's Theorem 1473 using iPad Apps

Dynamic Geometry  1473: Kosnita Theorem, Four Circumcenters, Concurrent Line, Step-by-step Illustration Using GeoGebra, iPad Apps

Classroom Resource:
Interactive step-by-step animation using GeoGebra

This step-by-step interactive illustration was created with GeoGebra.

  • To explore (show / hide): click/tap a check box.
  • To stop/play the animation: click/tap the icon in the lower left corner.
  • To go to first step: click/tap the "Go to step 1" button.
  • To manipulate the interactive figure: click/tap and drag the blue points or figures.

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.

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