[/quote]
,
be a triangle and 
,
,
be the midpoints of arcs 
,
,
on the circumcircle. Line 
passes through the feet of the perpendiculars from 
to 
and 
.
passes through the feet of the perpendiculars from 
.
denote the intersection of lines 
and 
similarly. Prove that triangle 
and 
are similar to each other.
such that : 
and 
table filled with natural numbers, we say it is a divisor table if:
-
,
-
,
for every 
.
is given. Determine the smallest natural number 
,
.
.
,![\[\frac{a^3}{(b-c)^2+bc}+\frac{b^3}{(c-a)^2+ca}+\frac{c^3}{(a-b)^2+ab}\ge a+b+c.\]](http://latex.artofproblemsolving.com/1/c/8/1c80f369f5e5daf2155c9620dff0463ed8d284a0.png)
and internal bisector 
.
again at 
and 
cuts 
.
lie on 
.
at 
respectively. Let circumcircle of 
cuts 
.
.
,
is a permutation of the set 
.
-![\[
\left\lfloor \frac{k_i}{j+1} \right\rfloor.
\]](http://latex.artofproblemsolving.com/7/5/8/7583af9655a43eb3f6167f955148984a468d4e70.png)
If 
,
.
in circumcircle of 
.
is a point on the line segment of 
.
.
Y by levibailey
Hello,
I have just started the AoPS Calculus course, and when submitting an answer for challenge problems, I am unable to see a preview of my answer, so there is no way to check if my latex is correct. In past classes I have been able to do this. Is this a new feature or something specific to the class, or is there something else I have to do to see the preview?
Thanks
C-123Math
I have just started the AoPS Calculus course, and when submitting an answer for challenge problems, I am unable to see a preview of my answer, so there is no way to check if my latex is correct. In past classes I have been able to do this. Is this a new feature or something specific to the class, or is there something else I have to do to see the preview?
Thanks
C-123Math
