The document discusses three notable points in a triangle: the circumcenter, which is the point where the perpendicular bisectors of the sides intersect; the incenter, which is the point where the angle bisectors intersect; and the centroid or geometric barycenter, which is the point where the three medians intersect.

1. Remarkable points and
straight lines in a triangle

2. Circumcenter (circuncentro)
• The perpendicular
bisectors(mediatrices)in a
triangle are the perpendicular
bisectors of its sides. The three
perpendicular bisectors of a
triangle converge at a point
called circumcenter, the center
of the triangle’s circumcircle.

3. Incenter (Incentro)
• The three angle
bisector(bisectrices) of a
triangle converge at a point
called incenter, the center of
the triangle’s incircle.

4. Centroid or geometric barycenter (Baricentro)
• A median (mediana) is a line
that connects the vertex of a
triangle to the midpoint of the
opposite side. The three
medians of a triangle converge
at a point called centroid or
geometric barycenter.