trisect
C1Technical, Academic
Definition
Meaning
To divide into three equal parts.
In geometry, to cut a line or angle into three equal parts. More broadly, to split any entity or concept into three equal or roughly equal sections.
Linguistics
Semantic Notes
Primarily a mathematical/geometric term. Outside of technical contexts, its use is often metaphorical and implies precise, intentional division into thirds.
Dialectal Variation
British vs American Usage
Differences
No significant differences in definition or usage. The term is technical and used identically in both varieties.
Connotations
Identical technical connotations of precise division.
Frequency
Equally low-frequency and specialised in both dialects.
Vocabulary
Collocations
Grammar
Valency Patterns
NP ___ NPto ___ somethingVocabulary
Synonyms
Strong
Neutral
Weak
Vocabulary
Antonyms
Phrases
Idioms & Phrases
- “[No common idioms]”
Usage
Context Usage
Business
Rare; potentially in strategic planning, e.g., 'We'll trisect the market to focus our efforts.'
Academic
Common in geometry and mathematics; used in proofs and problems.
Everyday
Very rare; might be used metaphorically for precise division, e.g., 'Trisect the cake fairly.'
Technical
The primary domain. Refers to a classical geometric construction problem (trisecting an angle with compass and straightedge).
Examples
By Part of Speech
verb
British English
- The challenge was to trisect the line using only a compass.
- Can you trisect this angle with the given tools?
American English
- The problem asked us to trisect the segment AB.
- Ancient geometers tried to trisect an angle with ruler and compass.
adverb
British English
- [No adverbial form]
American English
- [No adverbial form]
adjective
British English
- [No standard adjectival form. 'Trisected' is the past participle used adjectivally, e.g., 'the trisected line']
American English
- [No standard adjectival form. 'Trisected' is the past participle used adjectivally, e.g., 'a trisected region']
Examples
By CEFR Level
- [Too complex for A2]
- Please trisect this piece of paper into three equal strips.
- We had to trisect the pizza so everyone got the same amount.
- The architect proposed to trisect the large open space into distinct functional areas.
- It's impossible to trisect an arbitrary angle using only a classical straightedge and compass.
- The research team decided to trisect the dataset to validate their model more rigorously.
- Philosophers have attempted to trisect the concept of justice into its constituent elements.
Learning
Memory Aids
Mnemonic
Think 'TRI' (three) + 'SECT' (to cut). It's the three-cut sibling of 'bisect' (to cut in two).
Conceptual Metaphor
DIVISION IS CUTTING, EQUALITY IS BALANCE.
Watch out
Common Pitfalls
Translation Traps (for Russian speakers)
- Не путать с 'разделить' (to divide in general) или 'рассечь' (to cleave). Точный эквивалент — 'разделить на три равные части'. Слово 'трисекция' существует в русском математическом контексте.
Common Mistakes
- Confusing with 'bisect' (divide in two).
- Using it to mean any division into three, not necessarily equal parts.
- Misspelling as 'trisect' (correct) vs. 'trysect' (incorrect).
Practice
Quiz
What does 'trisect' specifically mean?
FAQ
Frequently Asked Questions
Primarily, yes. Its core meaning is geometric. However, it can be used metaphorically in other contexts to mean 'divide into three equal parts'.
'Bisect' means to divide into two equal parts. 'Trisect' means to divide into three equal parts.
No, by definition, 'trisect' implies division into three equal parts. For unequal division, you would say 'divide into three parts'.
The related noun is 'trisection', referring to the act or result of trisecting (e.g., 'the trisection of an angle').