Assertion: triangle's line | /r/HasProperty | concurrent
Facets:
value: at its centroid
type: LOCATION
Source sentences:
text: Often they are constructed by finding three lines associated in a symmetrical way with the three sides (or vertices) and then proving that the three lines meet in a single point: an important tool for proving the existence of these is Ceva's theorem, which gives a criterion for determining when three such lines are concurrent.
text: Seven lines associated with a tetrahedron are concurrent at its centroid; its six midplanes intersect at its Monge point; and there is a circumsphere passing through all of the vertices, whose center is the circumcenter.
text: Then the lines AA', BB' and CC' are concurrent and the point of concurrence is the 1st isogonal center.