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CD = CB = CE, 2 circles All-Russian MO 1995 Regional (R4) 9.6

Source:

August 26, 2024
geometrycirclesequal segments

Problem Statement

Circles S1S_1 and S2S_2 with centers O1O_1 and O2O_2 respectively intersect at AA and BB. The circle passing through O1O_1, O2O_2, and AA intersects S1S_1, S2S_2 and line ABAB again at DD, EE, and CC, respectively. Show that CD=CB=CECD = CB = CE.
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