trisecting

Cutting three ways

Trisecting means dividing into three equal parts.

The term appears most often in geometry, where trisecting an angle—constructing lines that divide it into three equal angles using only compass and straightedge—was proven impossible in the 19th century: He spent years trying to trisect the angle before learning it couldn't be done.

More generally, any line or shape can be trisected: trisecting the segment into thirds.

division

thirds

One of three parts

splitting · separating · segments · portions · dividing · slicing · cutting · tripartite · apportioning · allocating

geometry

angle

Geometric measure of rotation

impossible · Euclidean · protractor · arc · vertex · degree · proof · algebraic · transcendental · constructible

precision

exactitude

Perfect correctness in detail

delicate · careful · surgical · measured · calibrated · exacting · methodical · systematic · controlled · refined

Categories
Opposites
number of divisions

trisectingbisecting

Dividing into two equal parts

halving · quartering · cutting in half · dichotomizing

division vs. combination

trisectingunifying

Making disparate elements one

combining · merging · joining · uniting · making whole

Family

trisection

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