In usual mathematical study, a ray is the most commonly used entity to intersect a triangle.
Howver, any geometric object can intersect a triangle, therefore the nature will differ depending on what you use to perform the intersection.
Intersection of Medians-Centroid Intersection of Altitudes-Orthocentre
The common intersection of the angle bisectors of a triangle is called the incenter. It is the center of the inscribed circle of the triangle, and is equidistant from the three sides of the triangle.
orthocenter
centroid
centroid
centroid
the orthocenter (:
It is called the orthocentre.
It is called the incenter.
The point where the three medians of a triangle intersect is called the centroid of the triangle.
circumcenter
incenter