| In the first dimension of variation, both of the vectors connecting the subgroup centroids are negatively directed, whereas they are positively directed in the second. |
| The volume ratio for the sphere and cylinder can be derived from first principles without using levers and centroids. |
| Furthermore, we give the definitions of the generalized derivations, quasiderivations, center derivations, centroids and quasicentroids. |
| In what follows, we will apply results about centroids of domains to unions of curves or line segments. |
| Browne on his Understanding by Design geometry unit on centroids and circumcenters. |
| The great circle distances between the latitude and longitude coordinates of the population centroids for each pair of counties were used in the denominator. |
