trisection
Cutting into thirds
Trisection is the act or result of dividing something into three equal parts.
In geometry, the term appears most famously in the phrase angle trisection, one of the classical problems of ancient Greek mathematics: dividing an arbitrary angle into three equal angles using only a compass and straightedge.
This problem was eventually proven impossible in 1837, though it can be accomplished with other tools.
More generally, to trisect anything is simply to cut it into thirds.
Geometric measure of rotation
- compassDevice showing cardinal directions
- straightedgeLine-drawing tool
- impossibilityState of being unachievable
- constructibleAble to be built
Archimedes · algebraic · transcendental · irrational · proof · theorem · Euclidean · ruler
One of three parts
- partitionBarrier separating spaces
- segmentationDivision into sections
- subdivisionPortion of something larger
- slicingCutting into portions
splitting · separating · cutting · quartering · apportionment · allocation · fragmentation · dividing
Having three divisions
- triadGroup of three
- ternaryConsisting of three parts
- trichotomyThree-way categorical split
- triptychArt in three panels
tripartite · threefold · trilateral · trinity · segment · trilogy · triplet · treble
Surgical limb removal
- limbJointed bodily projection
- surgeryInvasive medical procedure
- scalpelPrecise surgical knife
- prosthesisManufactured replacement body part
stump · disarticulation · orthopedic · sever · incision · sectioning · segmental
angle
Geometric measure of rotation
- compassDevice showing cardinal directions
- straightedgeLine-drawing tool
- impossibilityState of being unachievable
constructible · Archimedes · algebraic · transcendental · irrational · proof · theorem · Euclidean · ruler · origami
thirds
One of three parts
- partitionBarrier separating spaces
- segmentationDivision into sections
- subdivisionPortion of something larger
slicing · splitting · separating · cutting · quartering · apportionment · allocation · fragmentation · dividing · carving
three-part
Having three divisions
- triadGroup of three
- ternaryConsisting of three parts
- trichotomyThree-way categorical split
triptych · tripartite · threefold · trilateral · trinity · segment · trilogy · triplet · treble · triplicity
amputation
Surgical limb removal
prosthesis · stump · disarticulation · orthopedic · sever · incision · sectioning · segmental
- threestrio, triad, triple, triplet, trinity
- Greek mathematicsEuclid, Archimedes, Pythagoras, geometry, theorem
- geometryangles, circles, angle, shapes, lines
- anglesacute angle, angle, obtuse angle, right angle, straight angle
- fractionshalf, halves, third, thirds, fourth
trisectionbisection
Division into two equal parts
halving · quartering · bipartition · dichotomy · unification
trisectionunification
Merging into one entity
combination · merging · fusion · consolidation · joining