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.

Verb

1. cut in three
   • trisect a line