trisect

/trai'sekt/
Học thuật
Thân thiện
trisect

The student uses a compass and straightedge to trisect the line segment.

Definition
  1. Verb:
    • To divide into three equal parts: The primary meaning of "trisect" is to cut or divide something, typically a line segment or an angle, into three parts of equal measure.
Usage
  • "Trisect" is a transitive verb, meaning it requires a direct object (the thing being divided).
  • It is most commonly used in mathematical and geometric contexts.
  • The word is precise and technical; it specifically implies division into three parts, not just any three parts.
Examples
  • Verb:
    • The challenge was to trisect the 60-degree angle using only a compass and straightedge.
    • Can you trisect this line segment so we can mark the points accurately?
    • Ancient geometers famously attempted to trisect an arbitrary angle, a problem now known to be impossible with classical tools.
Advanced Usage
  • "to be trisected": The passive voice is common when describing the state of something after the action.
    • The circle's circumference was trisected, creating three arcs of equal length.
Variants and Related Words
  • Trisection (n): The act or result of trisecting.
    • The trisection of the angle was a key step in the proof.
  • Trisector (n): A line or point that trisects something.
    • Each trisector divided the side of the triangle into segments with a 2:1 ratio.
Synonyms
  • Divide into three equal parts: This is a descriptive synonym for the core meaning.
Antonyms
  • Bisect: To divide into two equal parts.
  • Leave whole: To not divide at all.
trisect

The student uses a compass and straightedge to trisect the line segment.

Verb
  1. cut in three
    • trisect a line

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