opposite the vertex 
be tangent to the side 
at the point 
.
on 
and 
on 
analogously, using the excircles opposite 
and 
,
lies on the circumcircle of triangle 
be the circumcircle of triangle 
is the midpoint of 
be the second intersection of 
and 
,
be a transversal of 
be intersections of 
with 
be a tangent line of 
is cyclic
be positive integers such that 
and 
.
.
.
are the midpoints of 
respectively. 
,
is symmetric to 
.
be the incenter and tangent of angles 
respectively. Prove that 
have a common point
and 
.
specifies the greatest common divisor of 
and 
.
be real numbers so that 
and 
Show that
and 
such that:
Y by
A convex polygon with 
sides is called rhombic if its sides are equal and all pairs of opposite sides are parallel.
A rhombic polygon can be partitioned into rhombic quadrilaterals.
For what value of
, a -sided rhombic polygon splits into 
rhombic quadrilaterals?
sides is called rhombic if its sides are equal and all pairs of opposite sides are parallel.A rhombic polygon can be partitioned into rhombic quadrilaterals.
For what value of
, a -sided rhombic polygon splits into 
rhombic quadrilaterals?This post has been edited 1 time. Last edited by parmenides51, Sep 19, 2022, 12:09 PM
