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单词 spherical triangle
释义

Definition of spherical triangle in English:

spherical triangle

noun
  • A triangle formed by three arcs of great circles on a sphere.

    Example sentencesExamples
    • He also gave formulas for the area of a spherical triangle.
    • It also gives the mathematics behind the construction of the tables, and it details how to solve both plane and spherical triangles.
    • 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.
    • His tables for solving the problems of spherical astronomy can be seen to be tables which solve spherical triangles using a method similar to the modern cosine rule.
    • The work contains formulas for right-handed triangles, the general law of sines, and the solution of a spherical triangle by means of the polar triangle.
    • Morin realised that instruments had to be improved, improved methods of solving spherical triangles had to be found and better lunar tables were needed.
    • In Book I of Sphaerica he set up the basis for treating spherical triangles as Euclid treated plane triangles.
 
 

Definition of spherical triangle in US English:

spherical triangle

nounˈsferəkəl ˈtrīˌaNGɡəl
  • A triangle formed by three arcs of great circles on a sphere.

    Example sentencesExamples
    • 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.
    • His tables for solving the problems of spherical astronomy can be seen to be tables which solve spherical triangles using a method similar to the modern cosine rule.
    • In Book I of Sphaerica he set up the basis for treating spherical triangles as Euclid treated plane triangles.
    • The work contains formulas for right-handed triangles, the general law of sines, and the solution of a spherical triangle by means of the polar triangle.
    • It also gives the mathematics behind the construction of the tables, and it details how to solve both plane and spherical triangles.
    • He also gave formulas for the area of a spherical triangle.
    • Morin realised that instruments had to be improved, improved methods of solving spherical triangles had to be found and better lunar tables were needed.
 
 
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更新时间:2024/12/24 4:27:50