【课程详情】
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所含内容：
（1）原视频
（2）中英文字幕视频
（3）中英文字幕TXT
【Youtube上的简介】
What role were ruler and compass constructions really serving?
Check out Ben's channel: @bensyversen Interview with the author of this video: 
• Interview with Ben Syversen about the Eucl... Supporters get early views of new videos: https://3b1b.co/supportWritten, produced, edited, and animated by Ben Syversen
Additional editing: Jack Saxon
3d Blender model: Jan-Hendrik Müller
Additional Blender help: Thibaut Modrzyk (@Deepia)
Illustrations: Alex Zepherin/DonDada Studio
Camera: Giacomo Belletti
Drums: Jeremy Gustin
Additional music from Epidemic Sound
Special thanks to Viktor Blåsjö: https://intellectualmathematics.com/o...Lean footage is borrowed from Alex Kontorovich’s lecture series on formal Euclidean geometry: • 2025 Formal Euclidean Geometry References/Recommended reading:
Euclid’s Elements:
Visual edition of Book 1: https://intellectualmathematics.com/d...Euclid’s Elements in full: https://farside.ph.utexas.edu/books/E...The Thirteen Books of The Elements, translated with introduction and commentary by Sir Thomas L. Heath
Commentary and academic papers:
A Commentary on the First Book of Euclid’s Elements, Proclus, translated by Glenn R. Morrow
Operationalism: An Interpretation of the Philosophy of Ancient Greek Geometry, Viktor Blåsjö: https://link.springer.com/article/10....The Euclidean Diagram, Kenneth Manders
A New Look at Euclid’s Second Proposition, Godfried Toussaint https://www-cgrl.cs.mcgill.ca/~godfri...Logic of Ruler and Compass Constructions, M. Beeson https://www.michaelbeeson.com/researc...Euclid’s Fourth Postulate, Vincenzo De Risi https://www.cambridge.org/core/journa...Some related books:
Euclid’s Window: The Story of Geometry from Parallel Lines to Hyperspace, Leonard Mlodinow
The Geometry of Rene Descartes, Rene Descartes
Timestamps:0:00 - About guest videos0:54 - Why ruler and compass?2:38 - Diagrams as part of the proof8:08 - Geometry as philosophy15:21 - Mistakes in diagrammatic reasoning19:07 - The parallel postulate28:34 - Letting go of the ruler and compass
【翻译不一定准确，能看个大概哈】
（有人愿意来帮忙校对吗？）
规作图在实际中真正起到了什么作用支持者可以提前观看新视频:https://3b1b.co/support 由本·西弗森撰写、制作、编辑和动画。看本的视频频道:@bensyversen本·西弗森对该视频的创作者进行了采访: ·与本·西弗森就欧几里得问题进行访谈。额外编辑:Jack Saxor
3D Blender模型:Jan-Hendrik Müller额外的Blender帮助:Thibaut Modrzyk(@Deepia)
插图:AlexZepherin/DonDada工作室摄像:Giacomo Belletti
鼓:Jeremy Gustin
来自Epidemic Sound的额外音乐
特别感谢维克多·布拉斯乔:htps:/intelectualmathematics,.com/0.Lean视频来自亚历克斯·康托洛维奇关于形式欧几里得几何的系列讲座:·2025形式欧几里得几何参考/推荐阅读:
欧几里得的《几何原本》:第1册的视觉版: htps:/inelectualmathematics,comnrd.
欧几里得《几何原本》完整版:htps:/arside.ph.utexas.edubodksE.
《几何原本》的十三卷，由托马斯·L·希斯爵土翻译，并附有介绍和注释。
评论和学术论文:《欧几里得几何原本》第一卷注释，由格伦・R·莫罗翻译《操作主义:古希腊几何哲学的解释》，维克多·布拉佐:https:/link.springer.com/article/10.The欧几里得图，肯尼思·曼德斯重新审视欧几里德的第二条命题，戈德弗量·图奔特htps;/mwrcgdcsmcglcafsodfh.,只规作图迈辑，M.比森htpsyiwmnm.mnidhaebeson.comresearc.欧几里德的第四条公设，文森佐·德*里西htps:/mmwrcambidge.onedcoejouma...-些相关的书籍:
《欧几里得之窗:从平行线到超空间的几何学故事》，伦纳德·莫迪诺夫内·笛卡尔的几何学，雷内·笛卡尔
时间标记:
0:00-关于客观点视频
0.54-为什么尺子和圆规?
2:38-图解作为证明的一部分
8:08-几何学作为哲学
15:21-图解推理中的错误
19:07-平行公设
28:.34-放下尺子和圆规
