1. A non-Euclidean geometry developed by Nikolai Lobachevsky in which the parallel postulate of Euclidean geometry does not hold; specifically, through a point not on a line, infinitely many lines can be drawn parallel to the given line.
Lobachevskian geometry challenges the fundamental assumptions of Euclidean space.
A geometria de Lobachevsky desafia os pressupostos fundamentais do espaço euclidiano.
2. A hyperbolic geometry characterized by negative curvature where the sum of angles in a triangle is less than 180 degrees.
In Lobachevskian geometry, triangles have angle sums less than 180 degrees.
Na geometria de Lobachevsky, os triângulos têm soma de ângulos menor que 180 graus.