🌟 [ 11 ]   It Took 2137 Years to Solve This [ @Another Roof ]

LINKS PATREON: [ 🔗 Click ‼️ ] CHANNEL: [ 🔗 Click ‼️ ] WEBSITE: [ 🔗 Click ‼️ ] SUBREDDIT: [ 🔗 Click ‼️ ] TWITCH: [ 🔗 Click ‼️ ] ABOUT Despite being easy to state, the problem of constructing regular polygons confounded the Ancient Greeks. It took over 2000 years to make progress, and in this video we’ll trace a path through history to learn what innovations allowed more polygons to be constructed. TIMESTAMPS 00:00 - Introduction 01:47 - Ancient Constructions 08:14 - What the Ancient Greeks Lacked 11:20 - From Geometry to Numbers 16:28 - From Numbers to Equations 21:58 - From Equations to the Complex Plane 31:48 - Gaussian Periods 36:10 - Final Construction INVESTIGATORS Nothing for you here. Sorry! REFERENCES The Thirteen Books of Euclid’s Elements. T. L. Heath (1908) J. Derbyshire: Unknown Quantity: A Real and Imaginary History of Algebra Joseph Henry Press (2006) Al-Kamil treats irrational quantities as numbers in their own right H. Selin, U. D Ambrosio: Mathematics Across Cultures: The History of Non-Western Mathematics Springer (2000) Al-Mahani’s definition of rational and irrational M. Galina: The theory of quadratic irrationals in medieval Oriental mathematics Annals of the New York Academy of Sciences 500 (1987) 253-277. Al-Khwaizmi quadratic equations Al-Jabr - Al Khwarizmi Sridhara’s method D. E. Smith: “History of Mathematics” Vol 2 Dover (1925) Tombstone story C. W. Dunnington: Carl Friedrich Gauss: Titan of Science Hafner Publishing (1955) CREDITS Intro music by Tobias Voigt. Other music by Danijel Zambo and Apex Music. Image Credits Euclid [ 🔗 Click ‼️ ] Arithmetica [ 🔗 Click ‼️ ] Al-Jabr [ 🔗 Click ‼️ ] Gauss [ 🔗 Click ‼️ ] imed .

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🌈 🔎 ItTook2137YearstoSolveThis 🌈