Two circles intersects in X and Y. The tangent at X to the first circle cuts the second circle at A and AY produced cuts the first circle at B. Prove that XB is parallel to the tangent at A to the second circle.
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Extend we have being in the segment therefore , Moreover , where is the tagent to the second circle and and are in the opposite side .
By looking at line we obtain
Where is M located?
Sorry, isnt X a tangent? Producing AX will not render M on circle.
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