What was Euclid really doing? | Guest video by Ben Syversen скачать в хорошем качестве

What was Euclid really doing? | Guest video by Ben Syversen

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/support Written, 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 videos 0:54 - Why ruler and compass? 2:38 - Diagrams as part of the proof 8:08 - Geometry as philosophy 15:21 - Mistakes in diagrammatic reasoning 19:07 - The parallel postulate 28:34 - Letting go of the ruler and compass ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly. Mailing list: https://3blue1brown.substack.com Twitter:   / 3blue1brown   Bluesky: https://bsky.app/profile/3blue1brown.com Instagram:   / 3blue1brown   Reddit:   / 3blue1brown   Facebook:   / 3blue1brown   Patreon:   / 3blue1brown   Website: https://www.3blue1brown.com