trisection point

plural trisection points

1. geometryEither of two points which trisect a given line segment.

   The centroid of a triangle is, by definition, the point of intersection of the three medians: moreover, it is a trisection point of each of the medians.

   3 more examples

   1959 [Doubleday], William R. Gondin, Bernard Sohmer, Intermediate Algebra & Analytic Geometry Made Simple, 1967, W. H. Allen, page 147, Find the trisection points of the line P_4P_5 in the same diagram.

   In triangle ABC, let E be the midpoint of BC and D the trisection point of AC nearest C.

   1965, Paul A. White, Vector Analytic Geometry, Dickenson Publishing Company, page 73

   1998, Paul J. Nahin, An Imaginary Tale: The Story of √(-1), Princeton University Press, 2010, paperback, page 88, And if λ=2, then P is a trisection point of P_1P_2 and z=(z_1+2z_2)/3. Notice that this trisection point is closer to P_2 than it is to P_1. The other trisection point, the one that is closer to P_1 than it is to P_2, occurs for λ= tfrac 1 2, which gives z=(2z_1+z_2)/3.