The figure below shows a triangle ABC. M is the midpoint of AC and circle of center B cuts AB and BC at D and E, respectively. BM cuts chord DE at G. Prove that AB.DG = BC.EG.

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Poincare disk model is a model of 2-dimensional hyperbolic geometry in which the points of the geometry are inside the unit disk, and the straight lines consist of all segments of circles contained within that disk that are orthogonal to the boundary of the disk, plus all diameters of the disk. Read more.

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Typography of problem 1355.

Geometry Problems

Ten problems: 1351-1360

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