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Definition of bisection : Division into two parts, esp. two equal parts.

Synonyms:

detachment, split, alienation, cleavage, segregation, disintegration, disunity, disassembly, part, disconnection, partition, cut, dissection, disarticulation, amputation, division, dissociation, fissure, incision, rent, divorce, disassociation, separation, break, disengagement, slice

dichotomy, branch, fork, halfway, hemisphere, bifurcation

halfway point, average, hub, middle, medium, mediocrity, core, median, midpoint, center, axis, heart, nub, half-and-half, nucleus, marrow, midst, pivot, epicenter, half, kernel, mean

Usage examples:

• This might be postponed until after the problem to bisect an angle, since it merely requires the bisection of a straight angle; but considering the immaturity of the average pupil, it is better given independently. - "The Teaching of Geometry", David Eugene Smith.