The line that broke mathematicians for 2000 years

From the creator

Discover strange new universes that turn up at the core of Einstein’s General Relativity. Head to https://brilliant.org/veritasium to start your free 30-day trial, and the first 200 people get 20% off an annual premium subscription. Special thanks to our Patreon supporters! Join the community to help us keep our videos free, forever: https://ve42.co/PatreonDEB If you’re looking for a molecular modeling kit, try Snatoms – a kit I invented where the atoms snap together magnetically – https://ve42.co/SnatomsV ▀▀▀ A massive thank you to Prof. Alex Kontorovich for all his help with this video. A huge thank you to Prof. Geraint Lewis and Dr. Ashmeet Singh for helping us understand the applications of Non-Euclidean geometry in astronomy/cosmology. Lastly, a big thank you to Dr. Henry Segerman and Dr. Rémi Coulon for helping us visualize what it’s like to be inside hyperbolic space and helping us understand hyperbolic geometry. ▀▀▀ Images: Euclid via Science Museum Group - https://ve42.co/Euclid Geodesy survey via ams - https://ve42.co/Geodesy John Wheeler via NAS Online - https://ve42.co/Wheeler ▀▀▀ References: Dunham, W. (1991). Journey through Genius: Great Theorems of Mathematics. John Wiley & Sons. Bonola, R. (1955). Non-Euclidean geometry: A critical and historical study of its development. Courier Corporation. Library of Congress. (n.d.). The Library of Congress. - https://ve42.co/LibofCongress Euclid’s Elements, Wikipedia - https://ve42.co/Elements The Histo

Published 2023-10-21 · Watch on YouTube ↗
Availability and playback restrictions are controlled by the original channel.