Assertion: triangle's incenter | /r/CapableOf | lie in the interior of a disk
Facets:
Source sentences:
text: The incenter must lie in the interior of a disk whose diameter connects the centroid G and the orthocenter H (the orthocentroidal disk), but it cannot coincide with the nine-point center, whose position is fixed 1/4 of the way along the diameter (closer to G).