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.