Saturday, December 19, 2009

Fox 214

Ajit Athle submitted this problem, as it neatly fits in our series on Equilateral Triangles. He said:
"Here's a simple problem to go in your current series on ET's. In equilateral triangle ABC, we've cevians BD (D on AC) & CE (E on AB) such that 2*BE = AE & 2*AD = DC. If CE & BD intersect in P, then prove, w/o using trigonometry or co-ordinate geometry, that AP is perpendicular to CE."
Thank you Ajit!



Fox 208 - Solution 2

These ones are classified as "Drawing lines in the sand".
Beautiful geometric solution to Fox 208 by Pataki.
Won't be surprised if there are others!!!

Fox 208 - Solution 1

This one is classified as "Drawing lines in the sand".
A beautiful geometric solution to Fox 208 by Pataki.
Will post another one later.

Wednesday, December 16, 2009

Fox 211

Fox 209

Where you stand defines who you are,
and emits traces of you to the sky.
Look at the brilliant stars in the night.
No! They aint no stars shining!
It is your eyes that declare the meaning of light.
Without your vision, all stars are dark.

There are things you ain't gonna erase...
Don't matter... even if you try hard...
Things that connect you to the farthest ends of the universe
Things that make you who you are.
A universe with a beating heart!
-- Dervish Fox

Tuesday, December 15, 2009

Fox 208

This is a classic. You can find similar versions in several books.
Again should be solvable with no math, maybe with a little art - I guess.

Thursday, December 10, 2009

Fox 206


We have some work on this, but not the final solution.
Please post your result here if you can find one.

Tuesday, December 1, 2009

Fox 200


A little more involved than its parents. But it still has a story to tell. Options are updated!
The answer STILL has not been confirmed yet.