各项公理是几何学的基础。
通常，几何定理的证明是依据公理系统，按一定的逻辑规则演绎地进行。
Generally, the proving of geometry theorem is based on the axiom system, and is deducted according to certain logic rules.
基于不同于欧几里得公理的几何学。
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.
以《几何原本》为代表的欧氏几何是古希腊文明的一个火车头，是古代数学公理化方法的一个辉煌成就。
Euclidean geometry is not only the leader of the civilization of ancient Greek but also the brilliant achievements of axiomatic approach in mathematics.
虽然希腊的几何学仍然占有重要的地位，但是，希腊人关于公理体系和系统推演的思想在十七世纪和十八世纪不复出现。
While Greek geometry retained an important place, the Greek ideal of axiomatic crystallization an systematic deduction disappeared in the seventeenth and eighteenth centuries.
公理方法是一种源于几何的数学方法。其突出的特点，使之很快就成为一种运用广泛的科学方法。
The axiomatic method is a mathematics method from geometry, owing to the outstanding characteristic, it is getting a scientific method used extensively.
欧几里德从10个公理和假设中演绎出465个公理或命题，涉及了平面与立体几何图形各方面。
From 10 axioms and postulates, Euclid deduced 465 theorems, or propositions, concerning aspects of plane and solid geometric figures.
希腊哲学文化则是使公理几何学最终定型的关键因素。
It was in this rational culture, with the legal culture in its center, that the Greek geometry was born, formed and developed.
希腊哲学文化则是使公理几何学最终定型的关键因素。
It was in this rational culture, with the legal culture in its center, that the Greek geometry was born, formed and developed.
应用推荐