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EMS - Reference question N°046

EMS - Reference question N°046 Circles Points B, C, D, are on a same straight line f ; A is a point out of straight line f. Points E, F and G are the centres of circles of respective diameters [AB], [AC] and [AD]. Prove the points E, F, G are on a same straight line g. Moreover, prove that lines f and g are parallel