elliptic geometry
[ɪˈlɪptɪk dʒiˈɒmətri]
noun
geometria elíptica
1. A non-Euclidean geometry in which there are no parallel lines and the sum of angles in a triangle exceeds 180 degrees, where space is positively curved
In elliptic geometry, the shortest path between two points is an arc of a great circle, not a straight line.
Na geometria elíptica, o caminho mais curto entre dois pontos é um arco de um grande círculo, não uma linha reta.
2. A geometric system based on a sphere where lines are represented as great circles and angles behave differently than in Euclidean geometry
Elliptic geometry is essential for understanding navigation on the Earth's surface.
A geometria elíptica é essencial para compreender a navegação na superfície da Terra.
This is a specialized mathematical term used primarily in academic and scientific contexts in both Brazil and Portugal. It is a fundamental concept in differential geometry and theoretical physics, with applications in cosmology, navigation, and general relativity. The term is consistent across Portuguese-speaking countries and is typically taught in advanced mathematics courses at the university level.
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