Linked from

The 22 pages that link to Centroid, each with the reason it gives.

• CircumcenterCompared with: It is determined by medians and vertex averages, not perpendicular bisectors.

• IncenterCompared with: The centroid is defined by medians rather than angle bisectors.

• Center of gravityCompared with: It matches the center of gravity only when mass distribution and gravitational conditions permit.

• Affine geometryBroader topic: A triangle's centroid is an affine combination of its vertices.

• Ceva's theoremBroader topic: Each median bisects its opposite side, so the three equal division ratios satisfy Ceva's condition.

• OrthocenterRelated: Its alignment with the orthocenter and circumcenter forms the Euler line.

• Green's theoremRelated: Boundary integrals derived from Green's theorem can calculate a planar region's first moments.

• IncircleCompared with: It is another standard triangle center, but it is not generally equidistant from the sides.

• MidpointRelated: Each median connects a vertex to the midpoint of the opposite side.

• Triangle areaRelated: A triangle’s centroid locates its area-weighted center and divides each median in a two-to-one ratio.

• Euler lineRelated: It lies on the Euler line two-thirds of the way from the orthocenter to the circumcenter.

• Pappus of AlexandriaRelated: Centroids are central to the surface and volume relations named after Pappus.

• Fermat pointCompared with: It is a familiar triangle center, but it does not generally minimize total vertex distance.

• Triangle centersBroader topic: It is the center obtained from vertex-to-midpoint constructions.

• Napoleon's theoremRelated: The theorem commonly uses the centroids of the erected equilateral triangles.

• Van Aubel's theoremCompared with: For each constructed square, the relevant center is also its center of symmetry.

• Viviani's theoremBroader topic: In an equilateral triangle, the centroid is equally distant from all three sides, so each distance is one-third of the altitude.

• Pappus's centroid theoremBroader topic: Its path during rotation supplies the distance multiplying the region’s area.

• Apollonius's theoremBroader topic: The median length relation can be combined with the centroid's position to relate vertex distances to the centroid.

• Incenter–excenter lemmaCompared with: It is a distinct triangle center governed by vertex averages.

• Pappus's area theoremRelated: The curve’s centroid determines the radius of its circular path during rotation.

• Van Lamoen circleRelated: Each of the six defining points is a subtriangle centroid, and their circle is centered at the original centroid.