I came across the problem of calculating the circumcenters of triangles symbolically within another algorithm (as well as possibly doing other similar geometry computations). I was hoping Mathematica would have built-in support for geometry computations like this, but the closest thing I could find was
RegionCentroid (which of course calculates the centroid, not the circumcenter).
However, on the Wolfram MathWorld page for Circumcenter I saw there is an option to download a Mathematica notebook (just below the page title "Circumcenter"). This notebook requires the
MathWorld`PlaneGeometry` package, which contains functionality to calculate circumcenters as well as tons of other useful stuff, but it apparently was removed from Mathematica (for I do not know what reason) somewhere along the line. Using the answer to this post (Where to download the MathWorld package?) and the Wayback Machine I was able to find the package, but it appears to be incompatible with Mathematica 10 anyways.
Beyond the MathWorld packages then, are there other packages that would have functionality to do things like compute circumcenters (or even better, is there built-in functionality for this that I have not found)?
I could write my own algorithm to compute a circumcenter, but this seems like a common enough geometrical computation that it and other computations like it are probably readily implemented somewhere.