Euclidgeometry can be regarded as an abstraction of nature. Comparing to Euclid geometry's simpleness, Fractal geometry reflects natural contexture more veritably.
欧几里德几何是对自然的高度抽象，分形几何则更为真实地反映了自然的形式结构。
2
On the basis of generalizing the fractal theory, Euclidgeometry mould and the discentral barrel finishing, L-System and the fractal characteristics of the grinder movement is analyzed.
Under the tutelage of Cosmas, John made such rapid progress that, in the enthusiastic language of his biographer, he soon equalled Diophantus in algebra and Euclid in geometry.