MathDB
Construct Collinear Points X, Y, Z

Source: IMO LongList 1982 - P6

March 16, 2011
geometry proposedgeometry

Problem Statement

On the three distinct lines a,ba, b, and cc three points A,BA, B, and CC are given, respectively. Construct three collinear points X,Y,ZX, Y,Z on lines a,b,ca, b, c, respectively, such that BYAX=2\frac{BY}{AX} = 2 and CZAX=3 \frac{CZ}{AX} = 3.
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