牛逼了，美帝高中生证明了勾股定理！

[Danaus]

US teens say they have new proof for 2,000-year-old mathematical theorem

New Orleans students Calcea Johnson and Ne’Kiya Jackson recently presented their findings on the Pythagorean theorem

https://www.theguardian.com/us-news/202 ... etry-prove

[verdelite]

US teens say they have new proof for 2,000-year-old mathematical theorem

New Orleans students Calcea Johnson and Ne’Kiya Jackson recently presented their findings on the Pythagorean theorem

https://www.theguardian.com/us-news/202 ... etry-prove

上面那篇报道里有链接到文章摘要，

An Impossible Proof Of Pythagoras

Saturday, March 18, 2023
9:00 AM - 9:30 AM
Clough Undergraduate Learning Commons - 423
Session
AMS Special Session on Undergraduate Mathematics and Statistics Research, I

Abstract
In the 2000 years since trigonometry was discovered it's always been assumed that any alleged proof of Pythagoras’s Theorem based on trigonometry must be circular. In fact, in the book containing the largest known collection of proofs (The Pythagorean Proposition by Elisha Loomis) the author flatly states that “There are no trigonometric proofs, because all the fundamental formulae of trigonometry are themselves based upon the truth of the Pythagorean Theorem.” But that isn’t quite true: in our lecture we present a new proof of Pythagoras’s Theorem which is based on a fundamental result in trigonometry—the Law of Sines—and we show that the proof is independent of the Pythagorean trig identity \sin^2x + \cos^2x = 1.
Presenting Author
J
Ne’Kiya D Jackson
St. Mary's Academy
Author
J
Calcea Rujean Johnson
St. Mary's Academy

[verdelite]

我看证明没啥问题， 证明勾股定理本来就挺难得。

哪儿能看到？

[赖美豪中]

对命贵的话，绝b是10个nobel将级别的贡献了

我看证明没啥问题， 证明勾股定理本来就挺难得。

[huangchong]

标题里可以加上：“用三角函数”（证明了勾股定理）。。 还能有更美国的事情吗




这个新闻只给了个学生报告的摘要。我怀疑她们是用三角函数绕了几个弯，自己根本没意识到勾股定理在中间已经起了作用，以为绕过了sin和cos的平方和就绕过了勾股定理。

[Pokerfuker]

猩猩能识数就不错了。

[Danaus]

不管怎样今年这两倆疼校 买买提 西艾体随便挑了

[zyy]

One small step for maths, but a giant leap for biology.

[YL7983]

我就想知道，审稿人敢不敢拒绝这篇大作？

[resso]

sin2x+cos2x=1是股沟定理来的吧

[赖美豪中]

你居然还有一点疑惑？

sin2x+cos2x=1是股沟定理来的吧

[resso]

你居然还有一点疑惑？

有鸡毛疑惑，这个有点搞了

[YWY]

sin(x)和cos(x)的导数依赖于sin(a-b)和con(a-b)的公式，如果承认它们的导数公式，那么(sin(x))^2+(con(x))^2的导数恒等于零，所以是常数，当x=0时该函数等于1，所以(sin(x))^2+(con(x))^2=1，证毕。

这算循环证明不？

[赖美豪中]

如果承认它们的导数公式，嗯，你说呢

sin(x)和cos(x)的导数依赖于sin(a-b)和con(a-b)的公式，如果承认它们的导数公式，那么(sin(x))^2+(con(x))^2的导数恒等于零，所以是常数，当x=0时该函数等于1，所以(sin(x))^2+(con(x))^2=1，证毕。

这算循环证明不？

[YWY]

如果承认它们的导数公式，嗯，你说呢

sin(x)和cos(x)的导数依赖于sin(a-b)和con(a-b)的公式。导数可以用和角（差角）公式推出。

[赖美豪中]

靠，和差角只能用勾股定理才能推出来啊，整个三角系统的基础就是勾股定理

sin(x)和cos(x)的导数依赖于sin(a-b)和con(a-b)的公式。导数可以用和角（差角）公式推出。

[赖美豪中]

这么说吧sin,cos就是因为有勾股定理你才能定义啊，不然你在闹啥啊

靠，和差角只能用勾股定理才能推出来啊，整个三角系统的基础就是勾股定理

[wokao]

哈佛买买提都发来了录取信

US teens say they have new proof for 2,000-year-old mathematical theorem

New Orleans students Calcea Johnson and Ne’Kiya Jackson recently presented their findings on the Pythagorean theorem

https://www.theguardian.com/us-news/202 ... etry-prove

[afpw]

只要你不尴尬，尴尬的就是别人

[YWY]

靠，和差角只能用勾股定理才能推出来啊，整个三角系统的基础就是勾股定理

这么说吧sin,cos就是因为有勾股定理你才能定义啊，不然你在闹啥啊

只用相似三角形等比的关系就能推出和差角公式，三角函数的定义也只依赖于相似三角形的同比关系。