Triangle Center Mystery Cache

This cache is not at the posted coordinates, but is less than 100 feet from there. Street parking is available very close to the cache, but you may prefer to park somewhere less chaotic nearby. Use crosswalks and extreme caution if crossing busy streets! The drivers through this area may not be looking in every direction they should.

Warning: NO math calculation needed to solve this puzzle!

Triangle Centers

How do you find the center of a triangle? A high-school geometry lesson told us that there are several methods known since the time of the ancient Greeks.

The Incenter is the point that is the same distance from each side of the triangle. This is called the incenter because it is the center of an inscribed circle (the largest circle that can fit inside the triangle).

The Centroid is where the center of mass would be if you cut the triangle out of a sheet of any flat, stiff material such as cardboard -- you could balance it on this point. It can be found by joining each vertex with the midpoint of its opposite side; where the lines cross is the centroid.

The point equidistant from each of the vertices is called the Circumcenter because it is the center of the circumscribed circle (that passes through all 3 vertices). For an obtuse triangle this is a point outside of the triangle. Can that really be called a center?

There are literally thousands of different ways to describe the "center" of a triangle, with such odd names as the Nine-Point Center, Nagel Point, and Isogonal Conjugate of X(874). Other names to ponder include the Watizthe Point? and Inner Vecten Point.

If you want to pursue this further, you should search in an encyclopedia.

checksum N 42 W 23

BYOP. The container is accessible from the sidewalk. Please replace the cache just as found.

Happy caching!

Congratulations to Seek2FindMe, starpop, and sequoia3ca for their FTF effort!