Leibniz’s formula: Let G be the centroid of a set of points \( (A_1, A_2, . . . , A_n ) \) in the plane.
Then for any point M in the plane we have
\( MA1_^2 + MA_2^2+· · ·+ MAn_^2 = n · MG^2 + GA_1^2 + GA_2^2 +· · ·+ GA_n^2 \)
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
