be a triangle with incenter 
,
.
intersects 
and 
.
be the midpoint arc 
and let 
intersect 
.
intersect the circumcircle of 
at a point 
.
.
and 
intersect on 
satisfy,
Where 
}
be a non-constant monic polynomial with integer coefficients and let 
be an infinite sequence. Prove that there are infinitely many primes, each of which divides at least one term of the sequence 
.
countries 
Each country has a flag 
units wide and one unit high composed of 
each field being either yellow or blue. No two countries have the same flag. We say that a set of 
square so that all 
Y by Mango247
Let 
be a triangle whose angles 
and 
are greater than 
. Above the side 
a right isosceles triangle 
is constructed with as the hypotenuse, such that 
is inside the triangle . Analogously we construct above the sides 
and 
the right isosceles triangles 
and 
, right at 
and in 
, but with these outside the triangle . Prove that 
is a parallelogram.
be a triangle whose angles 
and 
are greater than 
. Above the side 
a right isosceles triangle 
is constructed with as the hypotenuse, such that 
is inside the triangle . Analogously we construct above the sides 
and 
the right isosceles triangles 
and 
, right at 
and in 
, but with these outside the triangle . Prove that 
is a parallelogram.
