spherical geometry
[sfɛrɪkəl dʒiˈɑmətri]
noun
geometria esférica
1. A non-Euclidean geometry dealing with figures on the surface of a sphere, where the sum of angles in a triangle is greater than 180 degrees
Spherical geometry is used in navigation and astronomy to describe paths on celestial bodies.
A geometria esférica é usada em navegação e astronomia para descrever caminhos em corpos celestes.
2. The study of geometric properties and relationships of points, lines, and figures existing on a spherical surface
In spherical geometry, the shortest distance between two points is an arc of a great circle.
Na geometria esférica, a menor distância entre dois pontos é um arco de um grande círculo.
Spherical geometry is particularly relevant in Brazil and Portugal due to their maritime histories and geographical importance. It is taught in advanced mathematics curricula and is essential for understanding navigation, cartography, and Earth sciences. In the USA, it is primarily studied in higher mathematics and astronomy programs. The term carries significant scientific weight in all English and Portuguese-speaking academic communities.
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