be positive real integer such that 
Prove that
such that 
and 
that verify the following equation for all 
:
is a prime number
be an acute scalene triangle with circumcenter 
.
be the feet of the altitudes from 
to 
respectively. Let 
be the midpoint of 
.
be the circle with diameter 
.
be the intersection of 
and 
.
be the orthocenter of 
be the intersection of 
and 
be the lines through 
tangent to 
respectively. Let 
be the intersection of 
and 
.
be the intersection of 
and 
.
be the line through 
and let 
be the reflection of 
is tangent to 
.
Y by Adventure10
Let 
denote the circular region in the 
plane bounded by the circle 
. The lines 
and 
divide into four regions 
. If 
denotes the area of the region 
and if 
, determine 
.
denote the circular region in the 
plane bounded by the circle 
. The lines 
and 
divide into four regions 
. If 
denotes the area of the region 
and if 
, determine 
.This post has been edited 1 time. Last edited by Delta0001, Aug 25, 2019, 6:39 PM
. However, biomathematics told that this is a special case of a more general theorem called Pizza Theorem (which though only works for circles).
,
