The center of a circle or sphere is a point inside the circle which is equidistant from all points on the circle.
The centroid is where the three medians of the triangle meet.
The incenter of the triangle is where the three angle bisectors meet. It is also the center of the incircle.
The circumcenter is where the perpendicular bisectors of the triangles sides meet. It is also the center of the circumcircle.
The orthocenter Is where the altitudes of the triangle meet.
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