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1·Its concepts are woolly and untestable, yet are regarded as unassailable axioms.

它的概念模糊而不可测试，但却被认为是公理而无懈可击。

2·Axioms are the base of geometry.

各项公理是几何学的基础。

3·Those axioms apply around the globe.

这些原理全球适用。

4·Axioms which are assumed truths, and.

公理(axioms)，假定的真理。

5·My aunt is full of copy-book axioms .

我的姑妈张口就是字贴上的格言。

6·The principle is explicated into three axioms.

这一原理可以分析成三条公理。

7·These historical axioms must now be questioned.

这些长期以來人们捧为圭臬的原则，现在都必须加以质疑。

8·As I mentioned before, proofs use axioms and theorems to make their case.

如前所述，证明以公理和定理做为其论据。

9·theorems which are statements about the program inferred from the axioms.

定理（theorems） 由公理推论得到的关于程序的陈述。

10·Study of points, lines, angles, surfaces, and solids based on Euclid's axioms.

以欧几里德的公理为基础对点、线、角、面和立体的研究。