trisection point

Definitions

Either of two points which trisect a given line segment.

Examples

“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.”

“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.”

“1998, Paul J. Nahin, An Imaginary Tale: The Story of √, 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.”

CEFR level