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单词 trisect
释义

Definition of trisect in English:

trisect

verb trʌɪˈsɛkttraɪˈsɛkt
[with object]
  • Divide (something) into three parts, typically three equal parts.

    two walls trisect the gallery
    Example sentencesExamples
    • The world now adapts to a trisected geopolitical system, and leaders must begin to focus on minimizing the inevitable strive that will result.
    • Today, even as traffic signals multiply and thick yellow lines bisect and trisect the roads, motorists, scooterists and non-conformists all line up together at painfully long red lights and plan strategy.
    • What the proposals amounted to was a plan to trisect the West Bank into three cantons by annexing blocs of settlements.
    • Nicomedes trisected any rectilinear angle by means of the conchoidal curves, of which he had handed down the origin, order, and properties, being himself the discoverer of their special characteristic.
    • Prima facie, the long-standing problems of trisecting an angle, squaring a circle, and doubling a cube are not questions of existence.
    • It was a favourite with 17 Century mathematicians and could be used, as Nicomedes had intended, to solve the problems of duplicating the cube and trisecting an angle.
    • The curve, so named by Roberval, can be used to trisect an angle.
    • The dancers hurtled feverishly in a circle, then pressed outward into two parallel lines, trisecting the original diagonal pathway.
    • He also considered the equation associated with the problem of trisecting an angle, namely a cubic equation.
    • The second cone image represents these different regions with horizontal lines trisecting the cone.
    • My own heritage is more far-flung, encompassing Wales, England, Germany, and Hungary, as well as countries in eastern Europe that no longer exist, having been bisected and trisected by countless wars.
    • Gauss had stated that the problems of duplicating a cube and trisecting an angle could not be solved with ruler and compasses but he gave no proofs.
    • For few people now live in the area, and the lane has become a short cut, a speed track between Basuki Rakhmad and Pemuda, the two great bitumen rivers trisecting the centre of East Java's capital Surabaya.
    • Like so many curves it was studied to provide a solution to one of the ancient Greek problems, this one is in relation to the problem of trisecting an angle.
    • In particular they used kinematic methods to solve the classical problem of trisecting an angle.
    • The instrument panel is trisected, with distinct gauge clusters, trim, and finishes for each level.
    • Astrolabes were circular devices that arranged the stars into three ‘paths’, trisecting the sky at the eastern horizon.
    • The right of the two diagrams shows how this hyperbola can be used to trisect the angle AOB.
    • He gave geometrical solutions to doubling a cube and trisecting an angle in this book.
    • The ‘mathematical problems’ may have been those of duplicating the cube and trisecting the angle.

Derivatives

  • trisection

  • noun trʌɪˈsɛkʃ(ə)ntraɪˈsɛkʃ(ə)n
    • He also discussed parabolas, angle trisection and magic squares.
      Example sentencesExamples
      • In extending from the Pythagorean numbers to the totally real Vietens, it is important to understand the constructions involving trisections.
      • Three geometric construction problems from antiquity puzzled mathematicians for centuries: the trisection of an angle, squaring the circle, and duplicating the cube.
      • Squaring the circle is one of the three great problems of Classical Geometry, along with the trisection of the angle and the duplication of the cube.
      • Nicomedes, who was highly critical of Eratosthenes mechanical solution, gave a construction which used the conchoid curve which he also used to solve the problem of trisection of an angle.
  • trisector

  • noun trʌɪˈsɛktətraɪˈsɛktər
    • Their centers thus lie on the trisectors of the angles adjacent to that line.
      Example sentencesExamples
      • A method to obtain a good approximation to the trisector of an angle by Euclidean construction is also given.
      • We no longer look kindly on angle trisectors and circle squarers.
      • Due to the definition of rotation angles, A, B, and C are the intersections of trisectors.
      • If the angles of any triangle be trisected, the triangle, formed by the meets of pairs of trisectors, each pair being adjacent to the same side, is equilateral.

Origin

Late 17th century: from tri- 'three' + Latin sect- 'divided, cut' (from the verb secare).

 
 

Definition of trisect in US English:

trisect

verbtraɪˈsɛkttrīˈsekt
[with object]
  • Divide (something) into three parts, typically three equal parts.

    two walls trisect the gallery
    Example sentencesExamples
    • It was a favourite with 17 Century mathematicians and could be used, as Nicomedes had intended, to solve the problems of duplicating the cube and trisecting an angle.
    • He also considered the equation associated with the problem of trisecting an angle, namely a cubic equation.
    • In particular they used kinematic methods to solve the classical problem of trisecting an angle.
    • Prima facie, the long-standing problems of trisecting an angle, squaring a circle, and doubling a cube are not questions of existence.
    • He gave geometrical solutions to doubling a cube and trisecting an angle in this book.
    • The world now adapts to a trisected geopolitical system, and leaders must begin to focus on minimizing the inevitable strive that will result.
    • Astrolabes were circular devices that arranged the stars into three ‘paths’, trisecting the sky at the eastern horizon.
    • Nicomedes trisected any rectilinear angle by means of the conchoidal curves, of which he had handed down the origin, order, and properties, being himself the discoverer of their special characteristic.
    • The dancers hurtled feverishly in a circle, then pressed outward into two parallel lines, trisecting the original diagonal pathway.
    • For few people now live in the area, and the lane has become a short cut, a speed track between Basuki Rakhmad and Pemuda, the two great bitumen rivers trisecting the centre of East Java's capital Surabaya.
    • The curve, so named by Roberval, can be used to trisect an angle.
    • The ‘mathematical problems’ may have been those of duplicating the cube and trisecting the angle.
    • Like so many curves it was studied to provide a solution to one of the ancient Greek problems, this one is in relation to the problem of trisecting an angle.
    • What the proposals amounted to was a plan to trisect the West Bank into three cantons by annexing blocs of settlements.
    • The right of the two diagrams shows how this hyperbola can be used to trisect the angle AOB.
    • The instrument panel is trisected, with distinct gauge clusters, trim, and finishes for each level.
    • Gauss had stated that the problems of duplicating a cube and trisecting an angle could not be solved with ruler and compasses but he gave no proofs.
    • The second cone image represents these different regions with horizontal lines trisecting the cone.
    • Today, even as traffic signals multiply and thick yellow lines bisect and trisect the roads, motorists, scooterists and non-conformists all line up together at painfully long red lights and plan strategy.
    • My own heritage is more far-flung, encompassing Wales, England, Germany, and Hungary, as well as countries in eastern Europe that no longer exist, having been bisected and trisected by countless wars.

Origin

Late 17th century: from tri- ‘three’ + Latin sect- ‘divided, cut’ (from the verb secare).

 
 
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更新时间:2024/12/23 15:18:35