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词汇 trigonometry
释义

Definition of trigonometry in English:

trigonometry

noun ˌtrɪɡəˈnɒmɪtriˌtrɪɡəˈnɑmətri
mass noun
  • The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.

    三角学

    Example sentencesExamples
    • In fact without the aid of the sine function and trigonometry it is hard to see how Hypsicles could have done better.
    • Omar Khayyam combined the use of trigonometry and approximation theory to provide methods of solving algebraic equations by geometrical means.
    • With an interest in trigonometry, mathematical instruments, astronomy, and geography, Regiomontanus was in a good position to give a lead.
    • Geometry, and its branch trigonometry, was the mathematics Indian astronomers used most frequently.
    • William's father wrote a number of successful textbooks on arithmetic, calculus and trigonometry, which brought in a comfortable income for the family.
    • This work is really the first in history on trigonometry as an independent branch of pure mathematics and the first in which all six cases for a right-angled spherical triangle are set forth.
    • Indians also added to our knowledge of even more complicated branches of mathematics such as trigonometry and calculus.
    • He studied a lot of mathematics in his own time including trigonometry, differential and integral calculus, and complex numbers long before he met these topics in his formal education.
    • Omar Khayyam, known chiefly in Europe as a poet, combined trigonometry and approximation theory to solve algebraic equations using geometry.
    • Most of his papers are solutions to problems posed by Euler on spherical geometry, trigonometry, series, differential geometry and differential equations.
    • Lexell made major contributions to spherical geometry and trigonometry.
    • Moore wrote the sections on arithmetic, geometry, trigonometry and cosmography while the sections on algebra, Euclid and navigation were written by Perkins.
    • My math class, trigonometry, will probably be the hardest one.
    • If you were a surveyor, you could measure angles and then use high-school trigonometry to calculate distances.
    • He would have an easier time teaching them trigonometry than the triangle.
    • Cavalieri also wrote on conic sections, trigonometry, optics, astronomy, and astrology.
    • He graduated in 1860 with an outstanding report, which mentioned in particular his exceptional skills in mathematics, in particular trigonometry.
    • Slowly Caroline turned more and more towards helping William with his astronomical activities while he continued to teach her algebra, geometry and trigonometry.
    • There he gave courses on astronomy, celestial mechanics, the differential and integral calculus, the theory of probability, geometry and trigonometry.
    • Because of the clarity and care with which his elementary texts on analytic geometry and trigonometry were written they are still in demand.

Derivatives

  • trigonometric

  • adjective ˌtrɪɡənəˈmɛtrɪkˌtrɪɡ(ə)nəˈmɛtrɪk
    • Curves (such as the trigonometric polynomials of elliptic Fourier analysis) may be fit to such an outline, and then compared through statistical analysis of their parameters.
      Example sentencesExamples
      • Vallée Poussin also worked on approximation to functions by algebraic and trigonometric polynomials from 1908 to 1918.
      • He then plotted them along x and y axes that he changed periodically for the sake of methodological soundness and fit the graphs to standard parabolic and trigonometric curves.
      • However after this the centre of activity moved to France where a national survey based on a mathematical approach to trigonometric surveying led the way.
      • The radian measure makes many trigonometric equations simpler and so it is the preferred unit of measuring angles in mathematics.
  • trigonometrical

  • adjective ˌtrɪɡənəˈmɛtrɪk(ə)lˌtrɪɡ(ə)nəˈmɛtrək(ə)l
    • Rather than using geometrical methods, as Ptolemy had done, al-Battani used trigonometrical methods which were an important advance.
      Example sentencesExamples
      • Astronomy, time-keeping and geography provided other motivations for geometrical and trigonometrical research.
      • But there were algebraic, trigonometrical, and simple Pythagorian solutions offered, too
      • It is perhaps surprising that the second most important trigonometrical function during the period we have discussed was the versed sine, a function now hardly used at all.
      • He studied algebras and published papers on trigonometrical series.

Origin

Early 17th century: from modern Latin trigonometria (see trigon, -metry).

Rhymes

craniometry, geometry, micrometry, optometry, psychometry, pyrometry, sociometry

Definition of trigonometry in US English:

trigonometry

nounˌtrɪɡəˈnɑmətriˌtriɡəˈnämətrē
  • The branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.

    三角学

    Example sentencesExamples
    • Indians also added to our knowledge of even more complicated branches of mathematics such as trigonometry and calculus.
    • Moore wrote the sections on arithmetic, geometry, trigonometry and cosmography while the sections on algebra, Euclid and navigation were written by Perkins.
    • William's father wrote a number of successful textbooks on arithmetic, calculus and trigonometry, which brought in a comfortable income for the family.
    • In fact without the aid of the sine function and trigonometry it is hard to see how Hypsicles could have done better.
    • Lexell made major contributions to spherical geometry and trigonometry.
    • This work is really the first in history on trigonometry as an independent branch of pure mathematics and the first in which all six cases for a right-angled spherical triangle are set forth.
    • He studied a lot of mathematics in his own time including trigonometry, differential and integral calculus, and complex numbers long before he met these topics in his formal education.
    • There he gave courses on astronomy, celestial mechanics, the differential and integral calculus, the theory of probability, geometry and trigonometry.
    • Geometry, and its branch trigonometry, was the mathematics Indian astronomers used most frequently.
    • Omar Khayyam, known chiefly in Europe as a poet, combined trigonometry and approximation theory to solve algebraic equations using geometry.
    • He graduated in 1860 with an outstanding report, which mentioned in particular his exceptional skills in mathematics, in particular trigonometry.
    • Because of the clarity and care with which his elementary texts on analytic geometry and trigonometry were written they are still in demand.
    • If you were a surveyor, you could measure angles and then use high-school trigonometry to calculate distances.
    • With an interest in trigonometry, mathematical instruments, astronomy, and geography, Regiomontanus was in a good position to give a lead.
    • My math class, trigonometry, will probably be the hardest one.
    • He would have an easier time teaching them trigonometry than the triangle.
    • Cavalieri also wrote on conic sections, trigonometry, optics, astronomy, and astrology.
    • Omar Khayyam combined the use of trigonometry and approximation theory to provide methods of solving algebraic equations by geometrical means.
    • Most of his papers are solutions to problems posed by Euler on spherical geometry, trigonometry, series, differential geometry and differential equations.
    • Slowly Caroline turned more and more towards helping William with his astronomical activities while he continued to teach her algebra, geometry and trigonometry.

Origin

Early 17th century: from modern Latin trigonometria (see trigon, -metry).

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