Revision #733 → #1070 · back to history
addedCentroid (general definition)25471dc59b55
addedBarycenter / center of mass7aacdc3937ca
addedCenter of gravity2dd338edf606
addedGeographical centerf02e03d6fb5b
addedCentroid of convex object lies inside92244eab8206
addedCentroid is fixed point of symmetry group24be9686b471
addedCentroid of a parallelograme3a8ebccada2
addedCentroid undefined under translational symmetryff2910333ce6
addedCentroid of a triangle (medians)0a1414965d5f
addedCentroid of a finite set of pointsca3ceacfe2bf
addedMinimizes sum of squared distances2730f6b4356e
addedCentroid by geometric decomposition4b9226315d2e
addedSquare, triangle, and circular hole decomposition3df5f7d374c9
addedGeneralization to higher dimensions34511a5a23bb
addedCentroid by integral formula (vector)f2ccb19e0b77
addedCoordinate-wise centroid formulaf2d80ed24744
addedBarycentric coordinates of plane figure60e9eb213ce9
addedCentroid of bounded region between two curvesd376e48c4004
addedIntegraph and Green's theoremc5420b80ac9c
addedCentroid of an L-shaped object69e85140c728
addedCentroid of a triangle (medians and 2:1 ratio)5693c0551af8
addedCentroid in barycentric coordinates054460a4d784
addedCentroid in trilinear coordinatesb8b84f369030
addedCentroid as physical center of mass1f00a082cb33
addedArea via centroid distanceeefe7c5efb27
addedCentroid on Euler line06683e53dfe6
addedRelation with incenter and nine-point centerdb36c8e0be6b
addedIsogonal conjugate of centroid957e94750ee4
addedMedians bisect triangle areaab31071291da
addedSum of squared distances from a pointa74f6f4f9d5c
addedSum of squares of sides equals three times sum from centroidb47005b7d6f9
addedCentroid maximizes product of directed distances9ffe0a3b5999
addedMidpoint identity for any point in plane91409d23e5aa
addedCentroid of a polygon734f4f46f918
addedSigned area via shoelace formula3d60f6e90c39
addedPolygon centroid vs vertex centroid0467dfeae40a
addedCentroid of a cone or pyramidad6c9d5d112d
addedMedians and bimedians of tetrahedron concur at centroid5ac0790274b7
addedTetrahedron centroid as midpoint of Monge point and circumcentercda8b0ffa5af
addedCentroid of an n-dimensional simplexa8b8aa30cf6b
addedSimplex centroid as center of massb2d1676e39ff
addedCentroid of a solid hemisphereb95e4ad8cc17
addedCentroid of a hollow hemisphere749534b29fa2