It seems that the proof of Pythagoras's theorem comes pretty much from just consulting the ideas of Euclidean triangle, the exhume of Euclidean geometry and simply doing inferences from those.
看起来毕达哥拉斯的定理，似乎来自于欧几里德的三角形理论，从欧几里德几何学的发现中可以简单地推理出来。
This article given another kind of proof using algebra method by system of homogeneous linear equations to the geometry question.
本文对这一几何问题利用齐次线性方程组给予了代数方法的又一种证明。
In this paper, the existence theorem of midpoint chord of quadratic curve, as well as its proof, is given via methods of projective geometry and polarity principle.
文章利用射影几何方法及配极原理给出二次曲线中点弦存在性定理的证明。
The second inspect the two typical cases: computer proof of four-color conjecture and establishing of fractal geometry.
第二章考察了计算机在数学应用中的两个具体案例：四色猜想的计算机证明和分形几何的建立。
All Chinese can be proud of the achievements of their mathematicians in differential geometry and their contributions to the completion of the proof of Poincare conjecture.
所有中国人都应该为中国数学家在微分几何领域所取得的成就，和对庞加莱猜测的贡献而感到骄傲。
All Chinese can be proud of the achievements of their mathematicians in differential geometry and their contributions to the completion of the proof of Poincare conjecture.
所有中国人都应该为中国数学家在微分几何领域所取得的成就，和对庞加莱猜测的贡献而感到骄傲。
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