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PiYuanZhouLv/README.md

Hello World, Hello Pi! 你好世界,你好圆周率!

I may be busy at schoolwork, so I probably can't reply messages or fix bugs in a short time.

我可能因学业无法及时回复或处理bug。

I'm also sorry for my poor English. (althought I always get a high mark in English exams) So if you find grammer errors, ignore them or help me correct them.

我也为我并不是非常好的英语感到抱歉。 (尽管我经常拿高分) 所以,如果你找到了语法错误,请忽略它或帮我更正。

Why PiYuanZhouLv? 为什么叫 Pi圆周率?

Pi -> π

圆周率 == YuanZhouLv(in pinyin) -> π

P.S. The real pinyin of 圆周率 looks like this Yuán Zhōu Lǜ

As for why I choose pi? Because we Chinese are all proud at our great progress in pi.

至于为什么要用圆周率? 因为我们中国人都对我们在圆周率方面的巨大成就引以为傲。

P.S. the text below is translate by machine

In the ancient Chinese arithmetic book Zhoubi Suanjing (about the 2nd century BC), there is a record that "the path is one and Wednesday", which means taking $\pi=3 $.

中国古算书《周髀算经》(约公元前2世纪)的中有“径一而周三”的记载,意即取 $\pi=3$

In the Han Dynasty, Zhang Heng obtained that $\frac{\pi^2}{16}\approx\frac{5}{8}$(about 3.162). This value is not very accurate, but it is easy to understand.

汉朝时,张衡得出,即 $\frac{\pi^2}{16}\approx\frac{5}{8}$(约为3.162)。这个值不太准确,但它简单易理解。

In 263 A.D., Chinese mathematician Liu Hui used the "circle cutting technique" to calculate the PI. He first connected the regular hexagon inside the circle, and then divided it step by step until the circle was connected with the regular 192 sides. He said, "if you cut too much, you will lose too little. If you cut too much, you will not be able to cut. Then you will fit in with the circumference without losing anything." This includes the idea of seeking limits. Liu Hui gave an approximate value of PI =3.141024. After obtaining PI =3.14, Liu Hui tested this value with the diameter and volume of Jialiang Hu, a copper volume measurement standard made in the Han Dynasty and Wang Mang era in the Jin military depot. It was found that the value of 3.14 was still small. Then, continue to cut the circle to 1536 edge shape, calculate the area of 3072 edge shape, and get the satisfactory PI $\pi = \frac{3927}{1250}\approx3.1416$.

公元263年,中国数学家刘徽用“割圆术”计算圆周率,他先从圆内接正六边形,逐次分割一直算到圆内接正192边形。他说:“割之弥细,所失弥少,割之又割,以至于不可割,则与圆周合体而无所失矣。”这包含了求极限的思想。刘徽给出π=3.141024的圆周率近似值,刘徽在得圆周率π=3.14之后,将这个数值和晋武库中汉王莽时代制造的铜制体积度量衡标准嘉量斛的直径和容积检验,发现3.14这个数值还是偏小。于是继续割圆到1536边形,求出3072边形的面积,得到令自己满意的圆周率 $\pi = \frac{3927}{1250}\approx3.1416$

Around A.D. 480, Zuchongzhi, a mathematician in the southern and Northern Dynasties, further obtained the result accurate to 7 decimal places, gave the insufficient approximate value of 3.1415926 and the excessive approximate value of 3.1415927, and also obtained two approximate score values, the density ratio $\frac{355}{113}$ and the reduction ratio $\frac{22}{7}$. The density ratio is a good fraction approximation. Only when you take $\frac{52163}{16604}$ can you get a slightly more accurate approximation than $\frac{355}{113}$.

公元480年左右,南北朝时期的数学家祖冲之进一步得出精确到小数点后7位的结果,给出不足近似值3.1415926和过剩近似值3.1415927,还得到两个近似分数值,密率 $\frac{355}{113}$和约率 $\frac{22}{7}$。密率是个很好的分数近似值,要取到 $\frac{52163}{16604}$才能得出比 $\frac{355}{113}$略准确的近似。

In the following 800 years, the π value calculated by Zu Chongzhi was the most accurate. In the west, the secret rate was not obtained by German Valentinus Otho until 1573.

在之后的800年里祖冲之计算出的π值都是最准确的。其中的密率在西方直到1573年才由德国人奥托(Valentinus Otho)得到。

So, the pi shows the wise of our ancestors. It also a point to remind me to work for the great rejuvenation of the Chinese nation.

所以,圆周率展示了我们老祖宗的智慧。那也是时刻提醒我要为中华民族的伟大复兴而奋斗的一点。

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