1. A branch of mathematics that studies geometric properties and spatial relationships using contemporary methods, including non-Euclidean geometries, topology, and algebraic approaches developed from the 19th century onwards.
Modern geometry has revolutionized our understanding of space and dimension.
A geometria moderna revolucionou nossa compreensão do espaço e da dimensão.
2. Mathematical frameworks that extend beyond classical Euclidean geometry, including projective geometry, differential geometry, and fractal geometry.
The study of modern geometry is essential for advanced physics and computer graphics.
O estudo da geometria moderna é essencial para física avançada e gráficos computacionais.