Trisection: meaning, definitions and examples
📐
trisection
[ traɪˈsɛkʃən ]
mathematics concept
Trisection refers to the division of a geometric figure or angle into three equal parts. It is a classical problem in geometry that dates back to ancient Greece, where mathematicians sought methods to construct angles that are one-third of given angles using only a compass and straightedge.
Synonyms
Examples of usage
- The trisection of an angle can be very challenging.
- Using a compass, he attempted the trisection of a 90-degree angle.
- Trisection is important in various geometric constructions.
Translations
Translations of the word "trisection" in other languages:
🇵🇹 trissecção
🇮🇳 त्रैतीयकरण
🇩🇪 Dreiteilung
🇮🇩 trisection
🇺🇦 трисекція
🇵🇱 trisekcja
🇯🇵 三分割
🇫🇷 trisection
🇪🇸 trisección
🇹🇷 üç eşit parçaya bölme
🇰🇷 삼등분
🇸🇦 تقسيم ثلاثي
🇨🇿 trisekce
🇸🇰 trisekcia
🇨🇳 三分之一
🇸🇮 trisekcija
🇮🇸 þrískipting
🇰🇿 үшке бөлу
🇬🇪 სამ ნაწილად გაყოფა
🇦🇿 üç hissəyə ayırma
🇲🇽 trisección
Etymology
The term 'trisection' originates from the Latin word 'trisex' meaning 'three times' and the Greek word 'sektio', which translates to 'a cutting'. Historical attempts to trisect angles can be traced back to the time of the ancient Greeks, notably around the era of Euclid and later mathematicians like Archimedes. They posed the challenge as it involves drawing geometric constructions strictly with a compass and straightedge. However, it was proved in the 19th century that trisection of a general angle cannot be accomplished using these tools, leading to significant advancements in the understanding of constructible numbers. The study of trisection emphasized the limits of classical geometry and has influenced modern mathematical interpretations and techniques.