In the crop fields south of Crabb, Texas are two giant circles
formed neither by aliens nor jocular British pranksters. They are
mathematical circles, constructs of the mind and imagination and
they are going to help you find my cache.
The first and larger one, the center of which is defined by the
coordinates given above, has a diameter of 1.5 miles exactly. The
second is northwest of the first and is defined by its center at
N29 27.602, W95 44.057 and a diameter of one mile. The cache
itself is located at precisely the mid-point of the segment formed
by the northern common external tangent of the two
circles.
You now have all of the data you need to find the cache. If you
do not know where to begin you might try a search on the internet
for tangent, circles, tangent of two circles, etc. There is usually
more than one way to skin a geometric cat but this problem can be
solved with one trig function and normal projection techniques. You
might even get close doing it graphically. I will get you started
below with several hints that will hopefully stimulate some
ideas.
Finally about the cache itself: It consists of a tupperware
container. You'll have to be on top of it to see it. Watch for
spiders and snakes. And have fun. If the cache is missing, e-mail
me the word on the brass disk on top of the nearby fence post for
credit.