Victor Oxman, On the Existence of Triangles with Given Circumcircle,
Incircle, and One Additional Element,
Forum Geometricorum, 5 (2005) 165--171.
Abstract: 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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