Conic Solution of Euler ’ s Triangle Determination Problem

@inproceedings{Yiu2008ConicSO,
  title={Conic Solution of Euler ’ s Triangle Determination Problem},
  author={Paul Yiu},
  year={2008}
}
We study Euler’s problem of determination of a triangle from its circumcenter, orthocenter, and incenter as a problem of geometric construction. While it cannot be solved using ruler and compass, we construct the vertices by intersecting a circle with a rectangular hyperbola, both easily constructed from the given triangle centers.