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Three points on incircle Avni Pllana Problem: Let ABC be an arbitrary triangle. Construct points D, E, F on the incircle of triangle ABC, such that triples {C, D, E}, {B, E, F}, {A, F, D} are collinear respectively.
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Incircle and excircles of a triangle
Triangles
Conic sections
Quadrilaterals
Triangle
Tangential quadrilateral
Nine-point circle
Geometry
Triangle geometry
Circles