基于不同于欧几里得公理的几何学。

Of or relating to Euclid's geometric principles.

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我们都学习过，欧几里得几何中对勾股定理的证明方法，从繁杂的欧氏几何的公理开始，邦，邦邦，邦邦，邦邦。

And we learned how to prove the Pythagorean Theorem in Euclidean geometry, starting with the various axioms in Euclidean geometry, ba, ba-ba, ba-ba, ba-ba, ba bum.

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本文证明了：群、欧几里得空间、距离空间和拓扑空间的公理系统的独立性。

It has been proved that the nature of independence exists in the axiomatic system of Group, Euclidean space, distance space and topological space.

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