such that:
with all 
is real number
be a triangle, and let 
,
,
be collinear points such that 
,
,
.
,
,
are the reflections of 
,
,
,
is a nondegenerate triangle, then its circumcenter lies on the circumcircle of 
be three positive real numbers satisfying 
Prove that
There is a very elegant proof :-D Could anyone think of it?
such that 
and has exactly 
Y by centslordm
Consider an arbitrary (optional convex) polygon. It's chord is a segment whose ends lie on the boundary of the polygon, and itself belongs entirely to the polygon. Will there always be a chord of a polygon that divides it into two equal parts? Is it true that any polygon can be divided by some chord into parts, the area of each of which is not less than 
the area of the polygon?
the area of the polygon?This post has been edited 2 times. Last edited by parmenides51, Dec 28, 2022, 10:31 PM
