Trisect: meaning, definitions and examples
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trisect
[ traɪˈsɛkt ]
mathematics division
To trisect means to divide something into three equal parts. This term is often used in geometry when referring to angles or segments. Trisecting an angle, for example, is a classical problem in geometry that involves splitting an angle into three smaller angles of equal measure. Although it is straightforward in theory, it's known to be impossible using only a compass and straightedge, which adds a layer of complexity to the term's mathematical applications.
Synonyms
Examples of usage
- The teacher asked the students to trisect the triangle.
- Can you trisect this angle accurately?
- The recipe requires us to trisect the loaf of bread.
Etymology
The word 'trisect' comes from the Latin prefix 'tri-' meaning three, and 'sect' which comes from the Latin 'secare', meaning to cut. The combination of these two elements literally means 'to cut into three parts'. The term dates back to the late 16th century when it was first used in mathematical contexts. The concept of trisection has been a topic of interest in geometry since ancient times and has been a subject of study by mathematicians throughout history. Trisection, especially of angles, was a prominent problem in classical Greek geometry, and many mathematicians made attempts to solve it using only a compass and straightedge, creating challenges that have implications in higher mathematics. Despite its historical roots, the concept of trisecting various figures remains relevant in modern geometry and applications such as computer graphics and architectural design.