The dynamic geometry figure below shows four green circles c1, c2, c3, and c4 passing through a point P. Circles c1 and c2 intersect at P12, and so on, P13, P23, P24, P14, and P34. Red Circle c123 passes through P12, P23, and P13, and so on. Prove that the four red circles pass through a point M.
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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