1. A mathematical space characterized by the validity of Euclid's axioms, particularly the parallel postulate, where distance is measured using the Pythagorean theorem
In three-dimensional Euclidean space, the distance between two points is calculated using the formula √[(x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²]
No espaço euclidiano tridimensional, a distância entre dois pontos é calculada usando a fórmula √[(x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²]
2. A geometric setting where straight lines remain straight and angles sum to 180 degrees in a triangle
The properties of circles and triangles in Euclidean space differ from non-Euclidean geometries
As propriedades de círculos e triângulos no espaço euclidiano diferem das geometrias não-euclidianas