be a cyclic quadrilateral. The point 
is the reflection of 
the intersection of 
and 
is the reflection of 
.
be the reflection of 
.
concyclic.
. Prove that: 
at 
and ray 
at 
. The circumcircle of triangle 
intersects the circumcircle 
of triangle 
distinct from point 
and 
intersect 
and 
respectively.
such that 
for all real number 
and 
Y by
Given a triangle 
, in which 
, 
. On the side 
is marked such a point 
that 
. Let 
be a point of the segment 
such that 
. The segment 
is the altitude of the triangle 
, and the point 
is the foot of the perpendicular drawn from point 
on the line 
. Prove that 
(IP Nagel)
, in which 
, 
. On the side 
is marked such a point 
that 
. Let 
be a point of the segment 
such that 
. The segment 
is the altitude of the triangle 
, and the point 
is the foot of the perpendicular drawn from point 
on the line 
. Prove that 
(IP Nagel)
This post has been edited 2 times. Last edited by parmenides51, Apr 3, 2021, 9:45 PM
