Y by
Let
be the circumscribed circle of the triangle
, in which
,
is the center of the arc
,
is the diameter of the circle
. The circle
is inscribed in the curvilinear triangle formed by the segments
,
and the arc
of the circle
. It turned out that circle
also touches
at point
. Let
be the center of the triangle
,
is the midpoint of the smaller arc
, and
is the second intersection point of
with the circle
. Prove that lines
,
and
intersect at one point.
(Mykhailo Sydorenko)

























(Mykhailo Sydorenko)
This post has been edited 1 time. Last edited by parmenides51, Feb 26, 2024, 7:04 PM