It was this concept that Riemann generalized, thereby opening up new vistas in non - Euclidean geometry.

这个概念嗣后为Riemann所推广, 从而在 非 欧几里德几何学中开辟了新前景.

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This article starts with the definition of the Euclidean Geometry and the Non - Euclidean Geometry.

文章从欧几里德几何与 非 欧几里德几何的定义入手,探讨两种几何形态的各自特征.

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The advent of theory of relativity forced a drastic change in the attitude toward non - Euclidean geometry.

相对论的发现迫使对待 非 欧几里德几何的态度有激烈的变化.

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