functions such that
for all real numbers 
and 
with equal radii are given. Let 
and 
are on 
,
and 
.
as the other intersection of 
and 
.
are concurrent.
such that 
days later (but perhaps earlier, as well). Hedvig received the trophy today. Determine all integers 
for which we can be absolutely certain that she cannot receive the trophy again in 
days, given the above information.
Y by Davi-8191, tenplusten, Adventure10
Let there be cyclic quadrilateral 
with 
as the midpoint of 
and 
as the midpoint of 
. Let 
, and let rays and 
meet again at 
. Let 
. Let 
be the foot of the perpendicular from 
to 
. If the orthocenter of 
is 
, prove the following equality.
with 
as the midpoint of 
and 
as the midpoint of 
. Let 
, and let rays and 
meet again at 
. Let 
. Let 
be the foot of the perpendicular from 
to 
. If the orthocenter of 
is 
, prove the following equality.
This post has been edited 1 time. Last edited by rkm0959, Mar 26, 2017, 4:48 AM
first - this can be done by projecting 
at 
.
.
.
easily now - set 
so that 
and 
.
,
.
