Hyperbolic barycenter

In the Euclidean Geometry we define the barycenter as the point where the medians intersect. The medians are the lines that joint one of the vertices with the midpoint of the opposite side.

As in the Euclidean Geometry, in the Hyperbolic Geometry is defined in every triangle.

To construct the barycenter we only have to plot any hyperbolic triangle, the midpoint of each side and then plot the medians. Finally, we have just to considerer the intersection with two medians.




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Hyperbolic geometry