几何原本
Elements of Euclid
Werner Oechslin · 初版 1900 年
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在Mondrian使红、黄、蓝几何线条和图形闻名遐迩的近百年前，数学家Oliver Byrne在其1847年出版的Euclid数学与几何学论著《Elements》版本中就使用了类似的色彩系统。Byrne的想法是利用色彩来促进学习并“传播永久的知识”。其成果被誉为19世纪最奇特、最美丽的图书之一。Byrne这一令人印象深刻的作品的复刻本现已收录于Bibliotheca Univers系列中
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如果你喜欢这篇帖子，那你大概率会很喜欢伯恩（Byrne）的《欧几里得几何原本》[1]，它用纯视觉的方式呈现了欧氏几何所有的基础证明。我其实最早是在塔夫特（Tufte）的《美丽的解释》（Beautiful Explanations）里看到提到这本书的。那……
If you enjoyed this post, you'll probably love "The Elements of Euclid"[1] by Byrne which provides entirely visual proof for ALL the basic proofs of euclidean geometry. I actually first came across the book when I saw it mentioned in Beautiful Explanations by Tufte. The…
……古希腊人也有事实核查员（factcheckers）吗？我一直很好奇他们是怎么在没有“事实核查”、不把对方嘴巴狠狠捂上的情况下辩论，却还能产出经得起时间考验的智慧的。> 博耶（Boyer）在 1991 年第 119 页指出：“《欧几里得几何原本》不仅是流传至今的最早的重要希腊数学著作，也是有史以来最具影响力的教科书。[...]《几何原本》的首个印刷版本于 1482 年在威尼斯面世，……
…Greeks have factcheckers ? I always wondered how they debated without “fact-checking” and muzzling the crap out of other side, yet produce wisdom that stood test of time > Boyer 1991, p. 119 notes, "The Elements of Euclid not only was the earliest major Greek mathematical work to come down to us, but also the most influential textbook of all times. [...]The first printed versions of the Elements appeared at Venice in 1482,…
……一直想读，但从来抽不出时间。每天读 4 页就停，哪怕正渐入佳境（in the flow）；哪怕无聊到快睡着也是 4 页。还不到 2 年，我已经读完了《圣经》、《欧几里得几何原本》、泽尔多维奇的《高等数学入门》，现在正读到《资本论》一半。西方伟大著作经典（Great Books canon）从未显得如此平易近人。每天就 4 页，日积月累真的很惊人。
…wanted to read, but never had time for it. 4 pages and stop even if I get into the flow, 4 pages even if I'm falling asleep because it's so boring. Not even 2 years in, I've already read the Bible, the Elements of Euclid, Zeldovich's Intro to Higher Math, and am in the middle of Das Kapital. The Great Books canon never looked more approachable. Just 4 pages a day. It really adds up.
他们提到的伯恩（Byrne）就是奥利弗·伯恩（Oliver Byrne），他出过一本《欧几里得几何原本》，里面用了彩色几何图示。https://en.wikipedia.org/wiki/Oliver_Byrne_(mathematician) Archive.org 印刷版：https://news.ycombinator.com/item?id=11628606 TeX 版本：https://github.com/jemmybutton/byrne-euclid
The Byrne they mention is Oliver Byrne, who made a book of Elements of Euclid including colored graphics for the geometry. https://en.wikipedia.org/wiki/Oliver_Byrne_(mathematician) Archive.org, print: https://news.ycombinator.com/item?id=11628606 In TeX: https://github.com/jemmybutton/byrne-euclid
这太神了。我真希望他们能更详细地解释一下怎么求解约束来找到新点的位置。无论如何，这都是个极棒的数学可视化（Math Visualization）工具。《几何原本》（THE ELEMENTS OF EUCLID）[1] 那本书曾有个带 Java applet 的网站，但自从浏览器不再支持后，那个网站也就挂了。[1] https://www.c82.net/euclid/#books
this is crazy. I wish they explained better how they solve the constraint to find the new point position. Regardless this would be an awesome tool for Math Visualization. The book "THE ELEMENTS OF EUCLID" [1] had a website with java applet but this is now dead since browser have dropped. [1] https://www.c82.net/euclid/#books
我买了本塔森（TASCHEN）出版社出的《欧几里得几何原本》，里面收录了奥利弗·伯恩 1847 年书中的插图。当我在推导后面的很多题目时，我能感觉到自己纯粹是因为水平不行（skill issue）而犯这类错误。比如当我……
I bought a copy of TASCHEN's "The Elements of Euclid" with illustrations by Oliver Byrne from his book in 1847. As I was working through a lot of the later problems I could see myself causing these sorts of errors due to a skill issue. For example as I…