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Circumscribe (NOT circumcise) Mystery Cache

Hidden : 7/13/2010
Difficulty:
1.5 out of 5
Terrain:
1 out of 5

Size: Size:   small (small)

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Geocache Description:


*** The cache is NOT at the posted coordinates ***

The posted coordinates represent one of three vertices of a triangle. The vertices are given by:

N 42° 35.464' W 82° 59.054'
N 42° 35.411' W 82° 59.879'
N 42° 35.003' W 82° 59.590'

The cache is located at the center of the circle that circumscribes such triangle.

You may need a straight edge and a compass for this one. (Not the magnetic compass, the compass used in your High School Geometry class)
Try to be as precise as possible. We don't want you going to people's backyards.

A more accurate method is to convert the coordinates of the triangle to surface planar x,y cartesian coordinates with one of the vertices as the (0,0). Then calculate the center of the circle using equations. Then convert the center from surface planar x,y cartesian back to latitude and longitude which will give you precise coordinates

FTF will get an 8-minute indoor Kart race.
2TF will get a good laugh (It is a real prize)

Beware of muggles. Leave the cache exactly as you found it.

If you liked this puzzle, you are also going to like: GC2BP01

*** CONGRATULATIONS to Depereo on his extremely fast FTF !!

I have added a fuzzy geochecker at: (visit link)
However keep in mind that since it is a fuzzy checker your success solution might not be exact but it will be within 0.005 minutes or about 25ft. I didn't want people to getting incorrect coordinates because they were 0.001 or 0.002 minutes off.

Additional Hints (No hints available.)