On the existence of triangles with given circumcircle, incircle, and one additional element - Victor Oxman

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    On the existence of triangles with given circumcircle, incircle, and one additional element - Victor Oxman​

    We give necesssary and sufficient conditions for the existence of poristic triangles with two given circles as circumcircle and incircle, and (1) a side length, (2) the semiperimeter (area), (3) an altitude, and (4) an angle bisector. We also consider the question of construction of such triangles.

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    LTTK CTV, 4/10/19
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